Word Problems

Problem 2401

Which expression equals three times the product of 14 and 9? (A) $3+(14 \times 9)$ (B) $(14+9) \times 3$ (C) $3 \times(14 \times 9)$ (D) $(14 \times 9) \div 3$

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Problem 2402

How do you correctly plot the point $(3,6)$ on a coordinate plane? Choose the right method from options a-d.

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Problem 2403

A survey of 50 students shows 25 like online classes and 35 are freshmen. Find counts for events $A$ , $B$ , $A \cap B$ , and neither.

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Problem 2404

Identify the sets that contain the number $0.2424$ : natural numbers, rational numbers, whole numbers, irrational numbers, integers, real numbers.

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Problem 2405

Which sums can use 30 as a common denominator? Choose 3: a) $\frac{1}{3}+\frac{4}{15}$ , b) $\frac{4}{9}+\frac{1}{15}$ , c) $\frac{7}{18}+\frac{1}{30}$ , d) $\frac{1}{6}+\frac{7}{30}$ , e) $\frac{8}{15}+\frac{3}{20}$ , f) $\frac{2}{5}+\frac{5}{6}$ .

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Problem 2406

Part A: Write 670,503 in expanded form. Part B: Explain how to express 8,523 using 15 hundreds in expanded form.

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Problem 2407

Write 8,523 in expanded form using 15 hundreds. Show your work or explanation.

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Problem 2408

Find the next number in the sequence: $2, 6, 10, 14$ . Choices: a. 16, b. 17, c. 18, d. 20.

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Problem 2409

What is a quadrilateral with one pair of parallel sides called? a. Rhombus b. Parallelogram c. Rectangle d. Trapezoid

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Problem 2410

Mr. Magoo's bedroom is 15 ft by 20 ft. How many gallons of paint (covers 100 ft² each) does he need for the walls? a. 6 b. 5 c. 4 d. 3

See Solution

Problem 2411

What is the probability of drawing two blues in a row from a jar with 4 reds, 2 greens, and 6 blues?

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Problem 2412

Round 286.35 to 2 decimal places.

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Problem 2413

Find the area of a circle with a diameter of $6 \mathrm{ft}$ . Choices: a. 37.7 b. 3.14 C. 28.27 d. 113.1

See Solution

Problem 2414

Calculate $219.68 \times 99.7$ and round to the hundredths place.

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Problem 2415

How many picoseconds are in 11 minutes? Provide your answer in scientific notation, e.g., $2.3 * 10^{\wedge} 5$ .

See Solution

Problem 2416

Find the volume of a sphere with a radius of $3 \mathrm{~m}$ . Options: a. 113.1 b. 28.3 c. 9.4 d. 84.8

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Problem 2417

J'Neice's phone bill is \$79 monthly with 1000 texts included. She sent 2100 texts. What is her total bill?

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Problem 2418

What is the sum of the angles in a triangle? a. 270 b. 360 c. 90 d. 180

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Problem 2419

Find the hypotenuse of a right triangle with legs 5 and 12. Options: a. 8, b. 169, c. 13, d. 17.

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Problem 2420

Find the $y$ -intercept of the line $y=-x-2$ . Options: a. -1 b. 1 c. -2 d. 2

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Problem 2421

How many ways can 1st, 2nd, and 3rd places be awarded among 6 competing bands? Options: a. 120 b. 30 c. 6 d. 20

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Problem 2422

Joachim bought shoes for \$40 after a 20% discount. What was the original price? a. \$8 b. \$50 c. \$45 d. \$100

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Problem 2423

A triangle with three equal sides is called: a. Right b. Scalene c. Equilateral d. Isosceles

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Problem 2424

Find the length of a rectangle with area 40 and perimeter 28. Options: a. 4 b. 20 c. 10 d. 8

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Problem 2425

John is 4 years older than Mary. Their ages total 30. How old is each? a. 13 b. 14 c. 17

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Problem 2426

John is 4 years older than Mary. Their ages total 30. What is Mary's age? a. 13 b. 14 c. 17 d. 16

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Problem 2427

Find the min and max lengths for nails allowed to vary by $\frac{1}{32}$ inch from 1 inch. Is a 1.05 inch nail acceptable?

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Problem 2428

Survey shows $56\%$ in favor and $44\%$ opposed to a garage sale. Find least and greatest percent opposed ( $\pm 5\%$ ). Is half the town opposed? Explain.

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Problem 2429

Convert each number to standard form:
29. 0.59
31. 0.00063
33. 74050
35. $35.8 + 0.5 + 0.071 + 0.3\%$
37. $3(0.01) + 6(0.001)$

See Solution

Problem 2430

Write the standard form for these numbers: 59 hundredths, 63 hundred-thousandths, 74050, and calculate $35.8 + 0.5 + 0.07$ .

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Problem 2431

Write the decimals in expanded notation: 18.025 and 130.04.

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Problem 2432

La suma de estudiantes en nivel inicial y primaria es $\frac{1}{6}x + \frac{3}{8}x + 297 = x$ . ¿Cuántos estudiantes hay en total?

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Problem 2433

Frank kicks a soccer ball 25 meters with an average velocity of $4.2 \mathrm{~m/s}$ . How long was it rolling?

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Problem 2434

If $\triangle \mathrm{JKL} \cong \triangle PQR$ and $m<P=52$ , $m<Q=48$ , $m<R=80$ , find $m<K$ . A. Cannot be determined B. 80 C. 52 D. 48

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Problem 2435

If $\triangle ABC \cong \triangle DEF$ and $AB=18, BC=10, AC=25$ , what is the length of $DF$ ? A. Cannot be determined B. 18 C. 10 D. 25

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Problem 2436

A car travels 2.3 hours at 65 miles/hour. How many miles do they cover? Calculate: $2.3 \mathrm{hrs} \cdot 65 \mathrm{~m/hr}=$

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Problem 2437

James throws a 90 mph fastball. If it takes 1.8 seconds to reach home plate, find the distance to the mound in meters.

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Problem 2438

Erica throws a football at $5.6 \mathrm{~m/s}$ . If it's in the air for 3 seconds, what distance did it travel?

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Problem 2439

Find the coordinates of point $C$ in right isosceles triangle $\triangle ABC$ where $A(2,3)$ and $B(7,3)$ .

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Problem 2440

Ed runs 3.2 miles in 18 minutes. What is his speed in meters per second? Use $1 \text{ mile} = 1609.34 \text{ meters}$ .

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Problem 2441

Convert these percentages to decimals and simplest fractions: 1. $350 \%=$ 2. $600 \%=$ 3. $0.15 \%=$

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Problem 2442

Order the steps Tyrone used to solve the inequality $9 > 2x + 5$ . Steps: Copy, Subtract, Simplify, Divide, Result.

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Problem 2443

Express 350% as a mixed number in simplest form. $350\% =$

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Problem 2444

A basketball player shoots from 6 ft high at 45 degrees. Use $h(x)=-\frac{44 x^{2}}{25^{2}}+x+6$ to find height at $x=3$ .

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Problem 2445

What is the frequency in hertz (Hz) of a photon with a wavelength of $2.86 \times 10^{-7}$ m?

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Problem 2446

How much sugar does Mrs. Marina need for half a recipe if it requires $\frac{3}{6}$ cup of sugar?

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Problem 2447

Find the area of Sammy's walkway, measuring $\frac{3}{5}$ ft by $\frac{4}{q}$ ft, with $q$ unknown.

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Problem 2448

Find the measure of angle $\mathrm{DOT}$ if $\overrightarrow{\mathrm{OG}}$ bisects $\angle D O T$ , with $m \angle 1 = 6x + 41$ and $m \angle 2 = 9x - 1$ .

See Solution

Problem 2449

Find $m \angle ABC$ if $m \angle ABC = 6x - 4$ , $m \angle CBD = 3x + 2$ , and $m \angle ABD = 34$ .

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Problem 2450

Express 68 in scientific notation.

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Problem 2451

Calculate Jamie's maximum 401k contribution and the company match based on a salary of \$54,000 with a 12\% contribution limit.

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Problem 2452

If $\angle 1 \cong \angle 2$ and $m \angle 1=2x+10$ , $m \angle 3=120^{\circ}$ , find $x$ . How many degrees in a line?

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Problem 2453

If $\angle 1$ complements $\angle 2$ and $m \angle 1=23^{\circ}$ , what is $m \angle 2$ ?

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Problem 2454

If $\angle 1 \cong \angle 2$ and $m \angle 1=2x+10$ , $m \angle 3=120^{\circ}$ , find $x$ .

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Problem 2455

How many degrees must a gate arm move from $42^{\circ}$ to reach a horizontal position?

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Problem 2456

A patient with a temperature of 101°F needs Tylenol 650 mg. Should the nurse give 2 or 3 tablets of 325 mg?

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Problem 2457

Find the rates and unit rates for the following: a. 420 miles in 7 hours b. 360 customers in 30 days c. 40 meters in 16 seconds d. \$ 7.96 for 5 pounds

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Problem 2458

Find three equivalent ratios for the ratio of right-handed to left-handed students, $18:4$ .

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Problem 2459

Explain how to add two rational numbers to obtain a negative result.

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Problem 2460

Create and solve a real-world addition problem with a rational number and its additive inverse, like $x + (-x)$ .

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Problem 2461

A student found $-4+x$ for $x=-9 \frac{1}{2}$ and got $5 \frac{1}{2}$ . What was the student's mistake?

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Problem 2462

Calculate the time to drive 188 miles at 80 mph, starting at 9 pm.

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Problem 2463

Use the property of addition to simplify and find the sum of $[5.5 + (-2.3)] + [(-5.5) + 2.3]$ .

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Problem 2464

A carpenter designs a 96-inch vanity with 2 cabinets & 4 drawers in one design, and 5 cabinets & 2 drawers in another. Find widths.

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Problem 2465

41 people are going to a concert in 7 vehicles. If some hold 7 and others 5, how many can hold 7 people?

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Problem 2466

A driver took 8 minutes to travel from Point A to Point B. Did she exceed the speed limit of 55 mph? Explain.

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Problem 2467

A scientist needs 6 mL of a $30\%$ sulfuric acid solution using $20\%$ and $50\%$ solutions. How much of each is needed?

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Problem 2468

A driver travels at $a$ constant speed on I-90 from point A to B in 8 minutes. Did she exceed the 55 mph speed limit?

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Problem 2469

Find the ratios of homework papers to exit tickets for Mr. Rowley ( $\frac{16}{14}$ ) and Ms. Rivera ( $\frac{64}{60}$ ). Are they equivalent?

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Problem 2470

A car travels at 60 mph from Montgomery to Centreville (70 miles). How long will the trip take in hours and minutes?

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Problem 2471

Jonathan can play 3 hours for every 5 hours of work; Lucas can play 0.5 hours for every hour. Who plays more?

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Problem 2472

Calculate the total cost in dollars of renting a bicycle and helmet for 5 days using $13.25 \times 5 + 6.5$ .

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Problem 2473

Calculate the total cost for 2 adults, 3 children lift tickets, 2 ski rentals, and hot chocolate for 5 people.

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Problem 2474

The expression $13.25 \times 5 + 6.5$ calculates the cost of renting a bike and helmet for 5 days.
a. What does $13.25$ represent? b. How would the expression change if the helmet cost were doubled?

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Problem 2475

Lizzie's school bought 350 agenda books for \$1,137.50. To profit \$1,500, what’s the minimum price per book?

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Problem 2476

Devon has a 6-pack of drinks for \$2.99. Is the price per drink over \$2.00? Calculate to check.

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Problem 2477

Find the area of Shenandoah's bedroom, which is 12 feet long and 7 feet wide. Use the expression $A = \text{length} \times \text{width}$ .

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Problem 2478

What is the result of $2 + \frac{12}{4}$ ?

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Problem 2479

What is the expression for eighteen more than five? Write it using $5 + 18$ .

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Problem 2480

Find Ryan's average test score by calculating $\frac{85 + 92 + 88 + 98}{4}$ .

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Problem 2481

At a party of 27 people, 11 are under 30. How many are under 30?

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Problem 2482

What is a Venn diagram? How do we show subsets, disjoint, and overlapping sets? Choose the correct answer.
A. Uses brackets for sets. Subsets: two separate circles. Disjoint: one inside another. Overlapping: overlapping circles.
B. Uses circles for sets. Subsets: one inside another. Disjoint: separate circles. Overlapping: overlapping circles.

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Problem 2483

Kenny's spending increases by $8\%$ annually. If he spends \$50,700 now, what will he spend in 11 years?

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Problem 2484

Find the mass (in mg) of 6.50 ml of isopropyl alcohol with a density of $0.7860 \mathrm{~g} / \mathrm{ml}$ .

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Problem 2485

Find the density of a metal cube with side $1.50 \mathrm{~cm}$ and weight $4.32 \mathrm{~g}$ in $\mathrm{g} / \mathrm{ml}$ .

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Problem 2486

Calculate the following with correct significant figures:
1. $34.567 + 0.2$
2. $3.0 \div 2$
3. $34.2 \times 0.03$
4. $482 - 2.45$

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Problem 2487

Lashawn used 44 stamps totaling \$15.01. If \$0.35 stamps are 9 less than twice \$0.50 stamps, find each type.

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Problem 2488

Find the simplest form of the quotient: $\frac{12}{7} \div 3$ .

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Problem 2489

Find the simplest form of the quotient: $\frac{3}{4} \div \frac{5}{16}$ .

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Problem 2490

Find the density of a metal cube (1.50 cm sides) weighing 4.32 g in $\mathrm{g} / \mathrm{ml}$ . Report with sig. figs.

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Problem 2491

Convert a room volume of $47.3 \mathrm{~m}^{3}$ to liters ( $\mathrm{L}$ ), knowing $1 \mathrm{~L} = 1 \mathrm{dm}^{3}$ .

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Problem 2492

Find the density of a sample with mass $12.50 \mathrm{~g}$ that raised water from $13.40 \mathrm{ml}$ to $17.57 \mathrm{ml}$ .

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Problem 2493

Mix 100 pints of liquids A, B, and C with given acid percentages. Find pints of each liquid if A is twice B and total is 45% acid.

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Problem 2494

Sam spent $\frac{5}{6}$ hour at the dentist. If $\frac{1}{10}$ of that was waiting, how much time was spent not waiting?

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Problem 2495

Convert the room volume of $47.3 \mathrm{~m}^{3}$ to liters (L), knowing that $1 \mathrm{~L} = 1 \mathrm{dm}^{3}$ .

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Problem 2496

Identify the incorrect answer among the three math quiz questions and explain why.
1. $-11+(-7)=-4$
2. $29+(-18)=11$
3. $-16+35=19$

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Problem 2497

If there are 30 peanut butter cookies and each box has 6, how many chocolate chip cookies are in the boxes bought?

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Problem 2498

Which double number line helps find calories burned by Raul if he runs 7 miles after burning 342 Calories for 3 miles?

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Problem 2499

Convert $6.19 \times 10^{2} \mathrm{~nm}^{3}$ to $\mathrm{mm}^{3}$ .

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Problem 2500

Convert $6.19 \times 10^{2} \mathrm{~nm}^{3}$ to $\mathrm{mm}^{3}$ and report the answer with correct significant figures.

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1 ...22 23 24 25 26 27 28 ...101

Word Problems

Problem 2401

Which expression equals three times the product of 14 and 9? (A) 3+(14×9)3+(14 \times 9)3+(14×9) (B) (14+9)×3(14+9) \times 3(14+9)×3 (C) 3×(14×9)3 \times(14 \times 9)3×(14×9) (D) (14×9)÷3(14 \times 9) \div 3(14×9)÷3

Problem 2402

How do you correctly plot the point (3,6)(3,6)(3,6) on a coordinate plane? Choose the right method from options a-d.

Problem 2403

A survey of 50 students shows 25 like online classes and 35 are freshmen. Find counts for events AAA, BBB, A∩BA \cap BA∩B, and neither.

Problem 2404

Identify the sets that contain the number 0.24240.24240.2424: natural numbers, rational numbers, whole numbers, irrational numbers, integers, real numbers.

Problem 2405

Problem 2406

Part A: Write 670,503 in expanded form. Part B: Explain how to express 8,523 using 15 hundreds in expanded form.

Problem 2407

Write 8,523 in expanded form using 15 hundreds. Show your work or explanation.

Problem 2408

Find the next number in the sequence: 2,6,10,142, 6, 10, 142,6,10,14. Choices: a. 16, b. 17, c. 18, d. 20.

Problem 2409

What is a quadrilateral with one pair of parallel sides called? a. Rhombus b. Parallelogram c. Rectangle d. Trapezoid

Problem 2410

Mr. Magoo's bedroom is 15 ft by 20 ft. How many gallons of paint (covers 100 ft² each) does he need for the walls? a. 6 b. 5 c. 4 d. 3

Problem 2411

What is the probability of drawing two blues in a row from a jar with 4 reds, 2 greens, and 6 blues?

Problem 2412

Round 286.35 to 2 decimal places.

Problem 2413

Find the area of a circle with a diameter of 6ft6 \mathrm{ft}6ft. Choices: a. 37.7 b. 3.14 C. 28.27 d. 113.1

Problem 2414

Calculate 219.68×99.7219.68 \times 99.7219.68×99.7 and round to the hundredths place.

Problem 2415

How many picoseconds are in 11 minutes? Provide your answer in scientific notation, e.g., 2.3∗10∧52.3 * 10^{\wedge} 52.3∗10∧5.

Problem 2416

Find the volume of a sphere with a radius of 3 m3 \mathrm{~m}3 m. Options: a. 113.1 b. 28.3 c. 9.4 d. 84.8

Problem 2417

J'Neice's phone bill is \$79 monthly with 1000 texts included. She sent 2100 texts. What is her total bill?

Problem 2418

What is the sum of the angles in a triangle? a. 270 b. 360 c. 90 d. 180

Problem 2419

Find the hypotenuse of a right triangle with legs 5 and 12. Options: a. 8, b. 169, c. 13, d. 17.

Problem 2420

Find the yyy-intercept of the line y=−x−2y=-x-2y=−x−2. Options: a. -1 b. 1 c. -2 d. 2

Problem 2421

How many ways can 1st, 2nd, and 3rd places be awarded among 6 competing bands? Options: a. 120 b. 30 c. 6 d. 20

Problem 2422

Joachim bought shoes for \$40 after a 20% discount. What was the original price? a. \$8 b. \$50 c. \$45 d. \$100

Problem 2423

A triangle with three equal sides is called: a. Right b. Scalene c. Equilateral d. Isosceles

Problem 2424

Find the length of a rectangle with area 40 and perimeter 28. Options: a. 4 b. 20 c. 10 d. 8

Problem 2425

John is 4 years older than Mary. Their ages total 30. How old is each? a. 13 b. 14 c. 17

Problem 2426

John is 4 years older than Mary. Their ages total 30. What is Mary's age? a. 13 b. 14 c. 17 d. 16

Problem 2427

Find the min and max lengths for nails allowed to vary by 132\frac{1}{32}321​ inch from 1 inch. Is a 1.05 inch nail acceptable?

Problem 2428

Survey shows 56%56\%56% in favor and 44%44\%44% opposed to a garage sale. Find least and greatest percent opposed (±5%\pm 5\%±5%). Is half the town opposed? Explain.

Problem 2429

Convert each number to standard form: 29. 0.59 31. 0.00063 33. 74050 35. 35.8+0.5+0.071+0.3%35.8 + 0.5 + 0.071 + 0.3\%35.8+0.5+0.071+0.3% 37. 3(0.01)+6(0.001)3(0.01) + 6(0.001)3(0.01)+6(0.001)

Problem 2430

Write the standard form for these numbers: 59 hundredths, 63 hundred-thousandths, 74050, and calculate 35.8+0.5+0.0735.8 + 0.5 + 0.0735.8+0.5+0.07.

Problem 2431

Write the decimals in expanded notation: 18.025 and 130.04.

Problem 2432

La suma de estudiantes en nivel inicial y primaria es 16x+38x+297=x\frac{1}{6}x + \frac{3}{8}x + 297 = x61​x+83​x+297=x. ¿Cuántos estudiantes hay en total?

Problem 2433

Frank kicks a soccer ball 25 meters with an average velocity of 4.2 m/s4.2 \mathrm{~m/s}4.2 m/s. How long was it rolling?

Problem 2434

If △JKL≅△PQR\triangle \mathrm{JKL} \cong \triangle PQR△JKL≅△PQR and m<P=52m<P=52m<P=52, m<Q=48m<Q=48m<Q=48, m<R=80m<R=80m<R=80, find m<Km<Km<K. A. Cannot be determined B. 80 C. 52 D. 48

Problem 2435

If △ABC≅△DEF\triangle ABC \cong \triangle DEF△ABC≅△DEF and AB=18,BC=10,AC=25AB=18, BC=10, AC=25AB=18,BC=10,AC=25, what is the length of DFDFDF? A. Cannot be determined B. 18 C. 10 D. 25

Problem 2436

A car travels 2.3 hours at 65 miles/hour. How many miles do they cover? Calculate: 2.3hrs⋅65 m/hr=2.3 \mathrm{hrs} \cdot 65 \mathrm{~m/hr}=2.3hrs⋅65 m/hr=

Problem 2437

James throws a 90 mph fastball. If it takes 1.8 seconds to reach home plate, find the distance to the mound in meters.

Problem 2438

Erica throws a football at 5.6 m/s5.6 \mathrm{~m/s}5.6 m/s. If it's in the air for 3 seconds, what distance did it travel?

Problem 2439

Find the coordinates of point CCC in right isosceles triangle △ABC\triangle ABC△ABC where A(2,3)A(2,3)A(2,3) and B(7,3)B(7,3)B(7,3).

Problem 2440

Ed runs 3.2 miles in 18 minutes. What is his speed in meters per second? Use 1 mile=1609.34 meters1 \text{ mile} = 1609.34 \text{ meters}1 mile=1609.34 meters.

Which expression equals three times the product of 14 and 9? (A) $3+(14 \times 9)$ (B) $(14+9) \times 3$ (C) $3 \times(14 \times 9)$ (D) $(14 \times 9) \div 3$

How do you correctly plot the point $(3,6)$ on a coordinate plane? Choose the right method from options a-d.

A survey of 50 students shows 25 like online classes and 35 are freshmen. Find counts for events $A$ , $B$ , $A \cap B$ , and neither.

Identify the sets that contain the number $0.2424$ : natural numbers, rational numbers, whole numbers, irrational numbers, integers, real numbers.

Find the next number in the sequence: $2, 6, 10, 14$ . Choices: a. 16, b. 17, c. 18, d. 20.

Find the area of a circle with a diameter of $6 \mathrm{ft}$ . Choices: a. 37.7 b. 3.14 C. 28.27 d. 113.1

Calculate $219.68 \times 99.7$ and round to the hundredths place.

How many picoseconds are in 11 minutes? Provide your answer in scientific notation, e.g., $2.3 * 10^{\wedge} 5$ .

Find the volume of a sphere with a radius of $3 \mathrm{~m}$ . Options: a. 113.1 b. 28.3 c. 9.4 d. 84.8

Find the $y$ -intercept of the line $y=-x-2$ . Options: a. -1 b. 1 c. -2 d. 2

Find the min and max lengths for nails allowed to vary by $\frac{1}{32}$ inch from 1 inch. Is a 1.05 inch nail acceptable?

Survey shows $56\%$ in favor and $44\%$ opposed to a garage sale. Find least and greatest percent opposed ( $\pm 5\%$ ). Is half the town opposed? Explain.

Convert each number to standard form:
29. 0.59
31. 0.00063
33. 74050
35. $35.8 + 0.5 + 0.071 + 0.3\%$
37. $3(0.01) + 6(0.001)$

Write the standard form for these numbers: 59 hundredths, 63 hundred-thousandths, 74050, and calculate $35.8 + 0.5 + 0.07$ .

La suma de estudiantes en nivel inicial y primaria es $\frac{1}{6}x + \frac{3}{8}x + 297 = x$ . ¿Cuántos estudiantes hay en total?

Frank kicks a soccer ball 25 meters with an average velocity of $4.2 \mathrm{~m/s}$ . How long was it rolling?

If $\triangle \mathrm{JKL} \cong \triangle PQR$ and $m<P=52$ , $m<Q=48$ , $m<R=80$ , find $m<K$ . A. Cannot be determined B. 80 C. 52 D. 48

If $\triangle ABC \cong \triangle DEF$ and $AB=18, BC=10, AC=25$ , what is the length of $DF$ ? A. Cannot be determined B. 18 C. 10 D. 25

A car travels 2.3 hours at 65 miles/hour. How many miles do they cover? Calculate: $2.3 \mathrm{hrs} \cdot 65 \mathrm{~m/hr}=$

Erica throws a football at $5.6 \mathrm{~m/s}$ . If it's in the air for 3 seconds, what distance did it travel?

Find the coordinates of point $C$ in right isosceles triangle $\triangle ABC$ where $A(2,3)$ and $B(7,3)$ .

Ed runs 3.2 miles in 18 minutes. What is his speed in meters per second? Use $1 \text{ mile} = 1609.34 \text{ meters}$ .

Convert these percentages to decimals and simplest fractions: 1. $350 \%=$ 2. $600 \%=$ 3. $0.15 \%=$

Order the steps Tyrone used to solve the inequality $9 > 2x + 5$ . Steps: Copy, Subtract, Simplify, Divide, Result.

Express 350% as a mixed number in simplest form. $350\% =$

A basketball player shoots from 6 ft high at 45 degrees. Use $h(x)=-\frac{44 x^{2}}{25^{2}}+x+6$ to find height at $x=3$ .

What is the frequency in hertz (Hz) of a photon with a wavelength of $2.86 \times 10^{-7}$ m?

How much sugar does Mrs. Marina need for half a recipe if it requires $\frac{3}{6}$ cup of sugar?

Find the area of Sammy's walkway, measuring $\frac{3}{5}$ ft by $\frac{4}{q}$ ft, with $q$ unknown.

Find the measure of angle $\mathrm{DOT}$ if $\overrightarrow{\mathrm{OG}}$ bisects $\angle D O T$ , with $m \angle 1 = 6x + 41$ and $m \angle 2 = 9x - 1$ .

Find $m \angle ABC$ if $m \angle ABC = 6x - 4$ , $m \angle CBD = 3x + 2$ , and $m \angle ABD = 34$ .

If $\angle 1 \cong \angle 2$ and $m \angle 1=2x+10$ , $m \angle 3=120^{\circ}$ , find $x$ . How many degrees in a line?

If $\angle 1$ complements $\angle 2$ and $m \angle 1=23^{\circ}$ , what is $m \angle 2$ ?

If $\angle 1 \cong \angle 2$ and $m \angle 1=2x+10$ , $m \angle 3=120^{\circ}$ , find $x$ .

How many degrees must a gate arm move from $42^{\circ}$ to reach a horizontal position?

Find three equivalent ratios for the ratio of right-handed to left-handed students, $18:4$ .

Create and solve a real-world addition problem with a rational number and its additive inverse, like $x + (-x)$ .

A student found $-4+x$ for $x=-9 \frac{1}{2}$ and got $5 \frac{1}{2}$ . What was the student's mistake?

Use the property of addition to simplify and find the sum of $[5.5 + (-2.3)] + [(-5.5) + 2.3]$ .

A scientist needs 6 mL of a $30\%$ sulfuric acid solution using $20\%$ and $50\%$ solutions. How much of each is needed?

A driver travels at $a$ constant speed on I-90 from point A to B in 8 minutes. Did she exceed the 55 mph speed limit?

Find the ratios of homework papers to exit tickets for Mr. Rowley ( $\frac{16}{14}$ ) and Ms. Rivera ( $\frac{64}{60}$ ). Are they equivalent?

Calculate the total cost in dollars of renting a bicycle and helmet for 5 days using $13.25 \times 5 + 6.5$ .

The expression $13.25 \times 5 + 6.5$ calculates the cost of renting a bike and helmet for 5 days.
a. What does $13.25$ represent? b. How would the expression change if the helmet cost were doubled?