Word Problems

Problem 3501

Which statement is true due to the Commutative Law of Addition? $99+0=99$ , $36+20=20+36$ , $16+14=15+15$ , $11+5=16$ .

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Problem 3502

Find the correct equation using the Segment Addition Postulate for segments $EF = 3x - 20$ and $FG = 2x - 7$ . Options are:
1. $(3x-20)+23=(2x-7)$
2. $(3x-20)+(2x-7)=23$
3. $(2x-7)+23=(3x-20)$

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Problem 3503

Two friends mix $31\%$ and $26\%$ lemon juice to create $24$ liters at $27\%$ . Find the liters of each type needed.

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Problem 3504

Is the law used in rewriting $9 \cdot 31=279$ as $31 \cdot 9=279$ commutative or associative?

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Problem 3505

Write 678 in expanded form. Options: $600+70+8$ , $600+7+80$ , $60+70+8$ , $6+7+8$ .

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Problem 3506

A supplier must mix two rice blends (29% and 24% wild rice) to create 87 pounds with 25% wild rice. Find the amounts of each blend.

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Problem 3507

Write "three thousand four hundred eight" in standard form using numbers.

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Problem 3508

Caden hits a golf ball at $2.0 \mathrm{~m/s}$ , slowing at $-0.5 \mathrm{~m/s}^2$ . What's its velocity after $2.0 \mathrm{~s}$ ?

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Problem 3509

Frank makes 3 widgets per hour. How many can he produce in an 8-hour day? Options: $8+8+8+8+8+8+8+8$ , $3+3+3$ , $8+3$ , $(8)(3)$ .

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Problem 3510

A grocery store mixes 150 pounds of rice costing \$4.95/pound. Use wild rice at \$6.45 and brown rice at \$3.95. Find the amounts.

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Problem 3511

Find the time $t$ for a ball dropped from a 1515 m building using $d=\frac{1}{2}gt^2$ . Options: 18.10s, 17.12s, 17.75s, 17.58s.

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Problem 3512

Find the $[\mathrm{H}+]$ when the $\mathrm{pH}$ is 2.0. Use the formula $[\mathrm{H}^{+}] = [?] \times 10^{[?]}$ .

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Problem 3513

Rewrite the equation $4(10+5)=6(12-2)$ using the distributive property. Choose the correct option.

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Problem 3514

Nancy is mixing a 1,100-gram herb salt costing \$4.10/gram. How many grams of sea salt and dried herbs are needed?

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Problem 3515

A TA needs 170 L of $28\%$ acid. How much of $22\%$ and $32\%$ solutions to mix for this? Round to nearest tenth.

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Problem 3516

Simplify these ratios and find unit rates: 1) 7 goals in 35 attempts 2) 7 quarters from 21 coins 3) $\$ 177$ for 4 tickets 4) 118.2 miles in 8.6 hours

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Problem 3517

Mix 680 liters of paint with $15\%$ pigment using $12\%$ and $27\%$ pigments. Find liters of each needed.

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Problem 3518

To make a $5 \%$ ethylene glycol solution from $20$ oz of $2 \%$ solution, how much of the $12 \%$ solution is needed?

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Problem 3519

A gardener creates a circular flower bed with a 12 ft diameter. Find its circumference and area.

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Problem 3520

A gardener creates a circular flower bed with a diameter of 12 feet. Find its circumference and area.

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Problem 3521

Calculate the total money Donna has with 4 quarters, 2 dimes, and 1 nickel.

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Problem 3522

How long does it take for a football to fall $1719 \mathrm{~m}$ on Mars? $(\mathrm{g}=3.72 \mathrm{~m}/\mathrm{s}^2)$ ?

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Problem 3523

Jania dropped an egg from a stadium, taking 5.61 seconds to hit the ground. What is the impact velocity? Options: $53.65 \mathrm{~m/s}$ , $52.12 \mathrm{~m/s}$ , $54.00 \mathrm{~m/s}$ , $54.98 \mathrm{~m/s}$ .

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Problem 3524

What is the balanced equation for the reaction $\mathrm{HNO}_{2}+\mathrm{NH}_{4} \mathrm{OH} \rightarrow$ ? A, B, C, or D?

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Problem 3525

Find the unknown if it is 5 times as many as 3.

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Problem 3526

36 is 4 times as many as what number?

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Problem 3527

Find point $A$ if midpoint $M(-1,2)$ of line segment $\overline{AB}$ and $B(3,-5)$ .

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Problem 3528

What does the 195 indicate in the isotope notation for platinum, ${ }_{78}^{195} \mathrm{Pt}$ ?

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Problem 3529

Count the significant figures in the number 5.62531.

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Problem 3530

Find $x$ and $F H$ given that $G$ is the midpoint of $\overline{F H}$ , $F G = 14x + 25$ , and $G H = 73 - 2x$ .

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Problem 3531

Find point $B$ on line segment $\overline{AC}$ such that the ratio $AB : AC = 1 : 3$ where $A=(-2,4)$ and $C=(4,7)$ .

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Problem 3532

In which conditions can fusion reactions occur? A. low, B. variable, C. normal, D. high temperatures and pressures.

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Problem 3533

Graph the functions: $y = 3|x-3|$ and $y = 2|x+1|-1$ . Explain how the equations affect the graph's shape.

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Problem 3534

Order the types of electromagnetic radiation from longest to shortest wavelength: A, B, C, or D?

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Problem 3535

How many valence electrons does technetium (Tc) have based on its electron configuration: $1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{2} 3 d^{10} 4 p^{6} 5 s^{2} 4 d^{5}$ ?

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Problem 3536

A local park is square-shaped, with a map scale of 1 inch to 200 feet.
Part A: If each side on the map is 1 foot, find the actual side length: $1 \text{ ft} \times 200 = 24000 \text{ ft}$ .
Part B: For a 900 ft path, find its map length: $900 \text{ ft} \div 200 = 4.5 \text{ in}$ .

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Problem 3537

Avery earns \$40 per commercial and \$140 per movie. She made \$480 from 7 total plays. Find the number of commercials and movies.

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Problem 3538

Is it possible to cover a distance at 70 mph in 3 hours? Calculate the distance: $d = 70 \times 3$ .

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Problem 3539

An online store sells chairs for \$200 and tables for \$700. With 6 chairs sold, find possible table sales to meet \$7600 minimum and 18 total pieces limit.

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Problem 3540

1) Pablo has \$10. Can he buy 7 packs of gum at \$1.50 each? Explain your reasoning.
2) True or False? Justify your answer: $64 \times 8 \times 100=640 \times 8 \times 10$
3) Compare two friends' scores in Powers of 10 Yahtzee. Who has a higher total? Explain your reasoning.

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Problem 3541

1) Pablo has \$10. Can he buy 7 packs of gum at \$1.50 each?
2) True or False? Prove: $64 \times 8 \times 100=640 \times 8 \times 10$
3) Who has the higher total? Explain your reasoning.
4) Find the totals and verify your reasoning.

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Problem 3542

Lydia works 4 hours tutoring at \$20/hour. How many hours can she walk dogs at \$7/hour to earn at least \$190 in 16 hours?

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Problem 3543

A 28,000-gallon pool drains at 700 gallons/hour. What equation relates gallons left ( $g$ ) to time ( $t$ )? $g=28,000-700 t$

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Problem 3544

If $\angle A$ and $\angle B$ are complementary and $m \angle A=(x+40)^{\circ}$ , find $m \angle B$ .

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Problem 3545

Each Friday, 400 newsletters are printed. The equation $c=400 w$ relates weeks $w$ to total copies $c$ . What is true of the graph?

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Problem 3546

$B C$ bisects $\angle A B D$ . If $m \angle A B C=6 x+3$ and $m \angle C B D=8 x-1$ , find $m \angle A B D$ .

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Problem 3547

Rephrase the argument to fit "all S are P" or "no S are P". Draw a Venn diagram to check validity. Premises: All caves are deep; Little Cavern is a cave. Conclusion: Little Cavern is deep. Identify correct Venn diagram placement for X. Is the argument valid?

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Problem 3548

Find the midpoints of segment $AB$ where $A$ is at 8 and $AB=6$ . Check all that apply: 11, 14, 5, 2.

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Problem 3549

Regina's car loan costs \$41,503 at 6.5\% interest on a \$24,200 car. How many years is the loan in Ad A?

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Problem 3550

What is the name of the ion represented by the formula $\mathrm{OH}^{-1}$ ?

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Problem 3551

Regina's loan costs \$38,402 at 5.3\% interest for 9 years. What is the car's price in Ad B?

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Problem 3552

What is the chemical formula for sodium bromate?

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Problem 3553

You drive at 70 mph for 1 hour 45 minutes. Your car gets 25 mpg and gas costs \$2.90 per gallon. Find total fuel cost.

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Problem 3554

What is the name of the ionic compound $\mathrm{BaCrO}_{4}$ ?

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Problem 3555

What is the ratio of hours Pam sleeps (6) to hours she goes to school (5)? Options: $6:5$ , $3:6$ , $6:14$ , $5:6$ .

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Problem 3556

Calculate the percent change from 24 to 18 points and determine if it's an increase or decrease.

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Problem 3557

Rhianna claims multiple functions can share $x$ -intercepts, domain, and range.
a. With $x$ -intercepts at $(-5,0),(2,0),(6,0)$ , domain $-5 \leq x \leq 7$ , and range $-4 \leq y \leq 10$ , can multiple functions exist?
b. With $x$ -intercepts at $(-4,0)$ and $(2,0)$ , domain as all real numbers, and range $y \geq -8$ , can multiple functions exist?

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Problem 3558

Julie swims 50 yards in 250 seconds. What is her speed in yards per second?

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Problem 3559

Compare the population densities of Chautauqua County ( $\frac{135357}{1062}$ ) and Seneca County ( $\frac{34724}{325}$ ).

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Problem 3560

Julie swims 50 yards in 250 seconds. What is her speed in miles per hour?

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Problem 3561

Junior starts with 10 cents and adds 2 pennies daily. Find the equation, graph it, and create a table for this.

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Problem 3562

Compare the land areas of City A (38 people/sq mile, 9700 people) and City B (32 people/sq mile, 8200 people).

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Problem 3563

Regina has two car options. Calculate monthly payments for:
1. Car A: \$24,200 at 6.5\% for 11 years.
2. Car B: \$26,000 at 5.3\% for 9 years.

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Problem 3564

Find the radius of a circular area with a population of 352,000 and density of 5240 people/sq mile, to the nearest tenth.

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Problem 3565

Identify the statement that is NOT a ratio: 1) 3 girls to 4 boys, 2) 3 girls in playground, 3) 6 apples in 10 fruits, 4) 2 tennis balls to 1 basketball.

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Problem 3566

Translate triangle $\triangle FGH$ down 2 units and left 5 units to get triangle $KLM$ . Complete the congruence statements:
$\begin{aligned} \overline{GH} \cong & \\ \angle K \cong & \\ \overline{MK} \cong & \\ H \cong & \\ \end{aligned}$

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Problem 3567

Is "3 basketballs to 3 basketballs" a ratio statement? Check True or False.

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Problem 3568

Emily spent a total of \$38.04 on four identical CDs. What is the cost of each CD? Explain your reasoning.

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Problem 3569

Can a deductive argument be not valid and sound? If yes, provide a three-proposition example.

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Problem 3570

What fraction of an acre is a land parcel measuring 50 yards by 30 yards? Simplify your answer.

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Problem 3571

Vera buys $2 \frac{5}{8}$ lbs of potatoes and $1 \frac{1}{2}$ lbs of beans. What change does she get from a \$10 bill?

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Problem 3572

Draw a model and write the expression for doubling the sum of 5 and 4: $(5+4) \times 2$ or $(5+4)+(5+4)$ .

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Problem 3573

Find the explicit formula for the sequence: $-20, -220, -420, -620, \ldots$

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Problem 3574

Find the length of $M B$ given $A B=2 x+14$ and $A M=4 x-5$ .

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Problem 3575

En una recta numérica, S está en -5 y G en 25. Si L está a $1/3$ del camino de S a G, ¿dónde está L?

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Problem 3576

Kerry has 3.15 pounds of strawberries. How many batches can she make if each batch needs 0.75 pounds?

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Problem 3577

Round 3.681076 to three significant figures.

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Problem 3578

Find the probability a randomly chosen shopper arrived by car or bus from 1,050 shoppers: 550 by car, 120 by bus.

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Problem 3579

Rewrite 247081352.4 with 2 significant figures: 2.4, 250000000, 240000000, or 2.5?

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Problem 3580

Rewrite 22 with 1 significant figure.

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Problem 3581

Jacqui sells handmade greeting cards for \$0.75 each, earning \$0.35 profit per card.
a. How many cards did she sell to make \$42 profit? b. What was her total earning before expenses?

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Problem 3582

Round 254.6381 to three significant figures.

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Problem 3583

Lucas has a 39-ft rope outlining a T-shape with right angles. Find $x$ and the area enclosed by the rope.

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Problem 3584

What sampling method should a pollster use to get responses from all major religious groups? a. Cluster sampling b. Stratified sampling c. Systematic sampling d. Simple random sampling

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Problem 3585

Encuentra el valor de $x$ si un ángulo recto se divide en $(x+32)°$ y $(x)°$ .

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Problem 3586

How much heavier is a piece of iron ( $\frac{3}{4}$ lb) than a piece of aluminum ( $\frac{1}{2}$ lb)?

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Problem 3587

What does an expected value of \$ 500 from buying five game tickets mean? a. 1 in 5 chance of winning b. 0.20 probability of winning \$ 500 c. Win \$ 500 from at least one ticket d. Average winnings from five tickets is \$ 500

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Problem 3588

In a college, 70% of classes are taught by adjuncts. What's the chance a student taking 5 classes has no adjunct professors?

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Problem 3589

Find the number of ways to choose 2 distinct items from 10 food items. Options: a. 5 b. 20 c. 25 d. 45

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Problem 3590

Find the measure of $\angle ABC$ given that $\angle ABD = (4x)°$ and $\angle CBD = (5x-27)°$ .

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Problem 3591

Find the expression for the probability of 240 cars parked in Lot A, given the mean is 200. Options include: a. $\mathrm{e}^{240} / 200$ ! b. $240 ! / 200$ ! c. $\mathrm{e}^{-200} 200^{240} / 240$ ! d. $e^{-240} 240^{200} / 200$ !

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Problem 3592

Find the $z$ -score for a 90-pound dog given an average weight of 84 pounds and a standard deviation of 4 pounds.

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Problem 3593

What is the probability of getting a number between 0.57 and 0.85 from a uniform distribution between 0 and 1? a. $15 \%$ b. $28 \%$ c. $32 \%$ d. $57 \%$

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Problem 3594

List the odd natural numbers in the set $A$ that are greater than 5 and less than 20.

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Problem 3595

How long will it take to hear thunder if it strikes 85 miles away, given sound travels 12.3 miles per minute?

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Problem 3596

6. If 16 tires are for 4 cars, how many tires are for 1 car? Solve: $\frac{16 \text{ tires}}{4 \text{ cars}}=\frac{\square_{\text{tires}}}{1 \text{ car}}$

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Problem 3597

650 students were surveyed about their favorite activities: swimming, tennis, and jogging.
(a) Students enjoying only swimming? (b) Students enjoying exactly two activities? (c) Students enjoying exactly one activity? (d) Students enjoying none? (e) Students enjoying at least two? (f) Students enjoying swimming or jogging, but not tennis? (g) Students enjoying swimming and jogging, but not tennis?

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Problem 3598

Find the measure of $\angle XYW$ if $\angle XYW = 3 + 5x$ and $\angle WYZ = x + 15$ .

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Problem 3599

Rewrite 56.0 with 2 significant figures.

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Problem 3600

Anthony spent \$21 on entertainment, \$39 on food, and \$23 on gas. Estimate total spending for 13 weeks by rounding to nearest ten.

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1 ...33 34 35 36 37 38 39 ...101

Word Problems

Problem 3501

Which statement is true due to the Commutative Law of Addition? 99+0=9999+0=9999+0=99, 36+20=20+3636+20=20+3636+20=20+36, 16+14=15+1516+14=15+1516+14=15+15, 11+5=1611+5=1611+5=16.

Problem 3502

Problem 3503

Two friends mix 31%31\%31% and 26%26\%26% lemon juice to create 242424 liters at 27%27\%27%. Find the liters of each type needed.

Problem 3504

Is the law used in rewriting 9⋅31=2799 \cdot 31=2799⋅31=279 as 31⋅9=27931 \cdot 9=27931⋅9=279 commutative or associative?

Problem 3505

Write 678 in expanded form. Options: 600+70+8600+70+8600+70+8, 600+7+80600+7+80600+7+80, 60+70+860+70+860+70+8, 6+7+86+7+86+7+8.

Problem 3506

A supplier must mix two rice blends (29% and 24% wild rice) to create 87 pounds with 25% wild rice. Find the amounts of each blend.

Problem 3507

Write "three thousand four hundred eight" in standard form using numbers.

Problem 3508

Caden hits a golf ball at 2.0 m/s2.0 \mathrm{~m/s}2.0 m/s, slowing at −0.5 m/s2-0.5 \mathrm{~m/s}^2−0.5 m/s2. What's its velocity after 2.0 s2.0 \mathrm{~s}2.0 s?

Problem 3509

Frank makes 3 widgets per hour. How many can he produce in an 8-hour day? Options: 8+8+8+8+8+8+8+88+8+8+8+8+8+8+88+8+8+8+8+8+8+8, 3+3+33+3+33+3+3, 8+38+38+3, (8)(3)(8)(3)(8)(3).

Problem 3510

A grocery store mixes 150 pounds of rice costing \$4.95/pound. Use wild rice at \$6.45 and brown rice at \$3.95. Find the amounts.

Problem 3511

Find the time ttt for a ball dropped from a 1515 m building using d=12gt2d=\frac{1}{2}gt^2d=21​gt2. Options: 18.10s, 17.12s, 17.75s, 17.58s.

Problem 3512

Find the [H+][\mathrm{H}+][H+] when the pH\mathrm{pH}pH is 2.0. Use the formula [H+]=[?]×10[?][\mathrm{H}^{+}] = [?] \times 10^{[?]}[H+]=[?]×10[?].

Problem 3513

Rewrite the equation 4(10+5)=6(12−2)4(10+5)=6(12-2)4(10+5)=6(12−2) using the distributive property. Choose the correct option.

Problem 3514

Nancy is mixing a 1,100-gram herb salt costing \$4.10/gram. How many grams of sea salt and dried herbs are needed?

Problem 3515

A TA needs 170 L of 28%28\%28% acid. How much of 22%22\%22% and 32%32\%32% solutions to mix for this? Round to nearest tenth.

Problem 3516

Simplify these ratios and find unit rates: 1) 7 goals in 35 attempts 2) 7 quarters from 21 coins 3) $177\$ 177$177 for 4 tickets 4) 118.2 miles in 8.6 hours

Problem 3517

Mix 680 liters of paint with 15%15\%15% pigment using 12%12\%12% and 27%27\%27% pigments. Find liters of each needed.

Problem 3518

To make a 5%5 \%5% ethylene glycol solution from 202020 oz of 2%2 \%2% solution, how much of the 12%12 \%12% solution is needed?

Problem 3519

A gardener creates a circular flower bed with a 12 ft diameter. Find its circumference and area.

Problem 3520

A gardener creates a circular flower bed with a diameter of 12 feet. Find its circumference and area.

Problem 3521

Calculate the total money Donna has with 4 quarters, 2 dimes, and 1 nickel.

Problem 3522

How long does it take for a football to fall 1719 m1719 \mathrm{~m}1719 m on Mars? (g=3.72 m/s2)(\mathrm{g}=3.72 \mathrm{~m}/\mathrm{s}^2)(g=3.72 m/s2)?

Problem 3523

Jania dropped an egg from a stadium, taking 5.61 seconds to hit the ground. What is the impact velocity? Options: 53.65 m/s53.65 \mathrm{~m/s}53.65 m/s, 52.12 m/s52.12 \mathrm{~m/s}52.12 m/s, 54.00 m/s54.00 \mathrm{~m/s}54.00 m/s, 54.98 m/s54.98 \mathrm{~m/s}54.98 m/s.

Problem 3524

What is the balanced equation for the reaction HNO2+NH4OH→\mathrm{HNO}_{2}+\mathrm{NH}_{4} \mathrm{OH} \rightarrowHNO2​+NH4​OH→? A, B, C, or D?

Problem 3525

Find the unknown if it is 5 times as many as 3.

Problem 3526

36 is 4 times as many as what number?

Problem 3527

Find point AAA if midpoint M(−1,2)M(-1,2)M(−1,2) of line segment AB‾\overline{AB}AB and B(3,−5)B(3,-5)B(3,−5).

Problem 3528

What does the 195 indicate in the isotope notation for platinum, 78195Pt{ }_{78}^{195} \mathrm{Pt}78195​Pt?

Problem 3529

Count the significant figures in the number 5.62531.

Problem 3530

Find xxx and FHF HFH given that GGG is the midpoint of FH‾\overline{F H}FH, FG=14x+25F G = 14x + 25FG=14x+25, and GH=73−2xG H = 73 - 2xGH=73−2x.

Problem 3531

Find point BBB on line segment AC‾\overline{AC}AC such that the ratio AB:AC=1:3AB : AC = 1 : 3AB:AC=1:3 where A=(−2,4)A=(-2,4)A=(−2,4) and C=(4,7)C=(4,7)C=(4,7).

Problem 3532

In which conditions can fusion reactions occur? A. low, B. variable, C. normal, D. high temperatures and pressures.

Problem 3533

Graph the functions: y=3∣x−3∣y = 3|x-3|y=3∣x−3∣ and y=2∣x+1∣−1y = 2|x+1|-1y=2∣x+1∣−1. Explain how the equations affect the graph's shape.

Problem 3534

Order the types of electromagnetic radiation from longest to shortest wavelength: A, B, C, or D?

Problem 3535

How many valence electrons does technetium (Tc) have based on its electron configuration: 1s22s22p63s23p64s23d104p65s24d51 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{2} 3 d^{10} 4 p^{6} 5 s^{2} 4 d^{5}1s22s22p63s23p64s23d104p65s24d5?

Problem 3536

Problem 3537

Avery earns \$40 per commercial and \$140 per movie. She made \$480 from 7 total plays. Find the number of commercials and movies.

Problem 3538

Is it possible to cover a distance at 70 mph in 3 hours? Calculate the distance: d=70×3d = 70 \times 3d=70×3.

Problem 3539

An online store sells chairs for \$200 and tables for \$700. With 6 chairs sold, find possible table sales to meet \$7600 minimum and 18 total pieces limit.

Problem 3540

Problem 3541

1) Pablo has \$10. Can he buy 7 packs of gum at \$1.50 each? 2) True or False? Prove: 64×8×100=640×8×10 64 \times 8 \times 100=640 \times 8 \times 10 64×8×100=640×8×103) Who has the higher total? Explain your reasoning.4) Find the totals and verify your reasoning.

Which statement is true due to the Commutative Law of Addition? $99+0=99$ , $36+20=20+36$ , $16+14=15+15$ , $11+5=16$ .

Two friends mix $31\%$ and $26\%$ lemon juice to create $24$ liters at $27\%$ . Find the liters of each type needed.

Is the law used in rewriting $9 \cdot 31=279$ as $31 \cdot 9=279$ commutative or associative?

Write 678 in expanded form. Options: $600+70+8$ , $600+7+80$ , $60+70+8$ , $6+7+8$ .

Caden hits a golf ball at $2.0 \mathrm{~m/s}$ , slowing at $-0.5 \mathrm{~m/s}^2$ . What's its velocity after $2.0 \mathrm{~s}$ ?

Frank makes 3 widgets per hour. How many can he produce in an 8-hour day? Options: $8+8+8+8+8+8+8+8$ , $3+3+3$ , $8+3$ , $(8)(3)$ .

Find the time $t$ for a ball dropped from a 1515 m building using $d=\frac{1}{2}gt^2$ . Options: 18.10s, 17.12s, 17.75s, 17.58s.

Find the $[\mathrm{H}+]$ when the $\mathrm{pH}$ is 2.0. Use the formula $[\mathrm{H}^{+}] = [?] \times 10^{[?]}$ .

Rewrite the equation $4(10+5)=6(12-2)$ using the distributive property. Choose the correct option.

A TA needs 170 L of $28\%$ acid. How much of $22\%$ and $32\%$ solutions to mix for this? Round to nearest tenth.

Simplify these ratios and find unit rates: 1) 7 goals in 35 attempts 2) 7 quarters from 21 coins 3) $\$ 177$ for 4 tickets 4) 118.2 miles in 8.6 hours

Mix 680 liters of paint with $15\%$ pigment using $12\%$ and $27\%$ pigments. Find liters of each needed.

To make a $5 \%$ ethylene glycol solution from $20$ oz of $2 \%$ solution, how much of the $12 \%$ solution is needed?

How long does it take for a football to fall $1719 \mathrm{~m}$ on Mars? $(\mathrm{g}=3.72 \mathrm{~m}/\mathrm{s}^2)$ ?

Jania dropped an egg from a stadium, taking 5.61 seconds to hit the ground. What is the impact velocity? Options: $53.65 \mathrm{~m/s}$ , $52.12 \mathrm{~m/s}$ , $54.00 \mathrm{~m/s}$ , $54.98 \mathrm{~m/s}$ .

What is the balanced equation for the reaction $\mathrm{HNO}_{2}+\mathrm{NH}_{4} \mathrm{OH} \rightarrow$ ? A, B, C, or D?

Find point $A$ if midpoint $M(-1,2)$ of line segment $\overline{AB}$ and $B(3,-5)$ .

What does the 195 indicate in the isotope notation for platinum, ${ }_{78}^{195} \mathrm{Pt}$ ?

Find $x$ and $F H$ given that $G$ is the midpoint of $\overline{F H}$ , $F G = 14x + 25$ , and $G H = 73 - 2x$ .

Find point $B$ on line segment $\overline{AC}$ such that the ratio $AB : AC = 1 : 3$ where $A=(-2,4)$ and $C=(4,7)$ .

Graph the functions: $y = 3|x-3|$ and $y = 2|x+1|-1$ . Explain how the equations affect the graph's shape.

How many valence electrons does technetium (Tc) have based on its electron configuration: $1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{2} 3 d^{10} 4 p^{6} 5 s^{2} 4 d^{5}$ ?

Is it possible to cover a distance at 70 mph in 3 hours? Calculate the distance: $d = 70 \times 3$ .

1) Pablo has \$10. Can he buy 7 packs of gum at \$1.50 each?
2) True or False? Prove: $64 \times 8 \times 100=640 \times 8 \times 10$
3) Who has the higher total? Explain your reasoning.
4) Find the totals and verify your reasoning.

A 28,000-gallon pool drains at 700 gallons/hour. What equation relates gallons left ( $g$ ) to time ( $t$ )? $g=28,000-700 t$

If $\angle A$ and $\angle B$ are complementary and $m \angle A=(x+40)^{\circ}$ , find $m \angle B$ .

Each Friday, 400 newsletters are printed. The equation $c=400 w$ relates weeks $w$ to total copies $c$ . What is true of the graph?

$B C$ bisects $\angle A B D$ . If $m \angle A B C=6 x+3$ and $m \angle C B D=8 x-1$ , find $m \angle A B D$ .

Find the midpoints of segment $AB$ where $A$ is at 8 and $AB=6$ . Check all that apply: 11, 14, 5, 2.

What is the name of the ion represented by the formula $\mathrm{OH}^{-1}$ ?

What is the name of the ionic compound $\mathrm{BaCrO}_{4}$ ?

What is the ratio of hours Pam sleeps (6) to hours she goes to school (5)? Options: $6:5$ , $3:6$ , $6:14$ , $5:6$ .

Compare the population densities of Chautauqua County ( $\frac{135357}{1062}$ ) and Seneca County ( $\frac{34724}{325}$ ).

Regina has two car options. Calculate monthly payments for:
1. Car A: \$24,200 at 6.5\% for 11 years.
2. Car B: \$26,000 at 5.3\% for 9 years.

Vera buys $2 \frac{5}{8}$ lbs of potatoes and $1 \frac{1}{2}$ lbs of beans. What change does she get from a \$10 bill?

Draw a model and write the expression for doubling the sum of 5 and 4: $(5+4) \times 2$ or $(5+4)+(5+4)$ .

Find the explicit formula for the sequence: $-20, -220, -420, -620, \ldots$

Find the length of $M B$ given $A B=2 x+14$ and $A M=4 x-5$ .