Equation

Problem 12801

Find the gas left in the tank over time, its equation, domain, range, and if it's continuous or discrete.

See Solution

Problem 12802

Simplify: $(x^{2}+5x-2)-(2x^{2}+4x-4)=$

See Solution

Problem 12803

Solve $\frac{\tan \theta+\tan 3 \theta^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ for $\tan \theta$ in surd form.

See Solution

Problem 12804

Solve $\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ for $\tan \theta$ in surd form.

See Solution

Problem 12805

Solve for $x$ in the equation $\frac{x}{5}-2=9$ .

See Solution

Problem 12806

Solve for $x$ : $5=-\frac{x}{5}+6$

See Solution

Problem 12807

Find the food cost percent for one churro dipped in chocolate, given total cost of churros and chocolate used.

See Solution

Problem 12808

Find the selling price for a \$20.80 wine to achieve a 40% cost. Options: \$52.00, \$40.00, \$37.50, \$45.00.

See Solution

Problem 12809

Calculate the food cost percent if a peach and apple crisp costs \$0.69 to produce and sells for \$6.00.

See Solution

Problem 12810

A man is $2 \mathrm{~cm}$ tall in a photo and $1.8 \mathrm{~m}$ tall in reality. Find the scale factor.

See Solution

Problem 12811

Find the food cost percentage for the month given costs of \$13,500 and sales of \$41,411.

See Solution

Problem 12812

Find the preliminary selling price of a pizza costing \$1.75, aiming for a 30.0% food cost. Options: \$7.10, \$5.83, \$17.10, \$5.25.

See Solution

Problem 12813

Find the minimum selling price for a filet mignon dinner costing \$13.50 with a food cost percent of 34.5%.

See Solution

Problem 12814

What is the beverage cost if sales are \$22,000 and cost percent is 22.5%?

See Solution

Problem 12815

Find the minimum selling price of a 6 oz bottle of Oseki Sake with a case cost of \$55.20 and a desired cost of 26.5%.

See Solution

Problem 12816

Solve for $y$ in the equation $\sqrt{y+11}+15=8$ . What is $y$ ?

See Solution

Problem 12817

Find the length of a path in a parallelogram area of $54 \mathrm{~km}^{2}$ , where $A = b h$ and $54 = 9 h$ .

See Solution

Problem 12818

Solve $(u+6)^{3}+24=0$ for real $u$ and express your answer in simplified radical form.

See Solution

Problem 12819

Multiply: $(5a - 7)(5a + 7) =$

See Solution

Problem 12820

How many hours $(h)$ can Jovie keep the fire burning with 9 logs if 15 logs last for 10 hours?

See Solution

Problem 12821

Solve these equations and verify your solutions:
1. $2(r+6)=4(r+4)$
2. $6(n+5)=3(n+16)$
3. $5(g+8)-7=117-g$
4. $12-\frac{4}{5}(x+15)=\frac{2}{5} x+6$
5. $3(3 m-2)=2(3 m+3)$

See Solution

Problem 12822

Yoku uses $2 \mathrm{ml}$ for $50 \mathrm{~cm}^{2}$ . How much sunscreen $(c)$ for $325 \mathrm{~cm}^{2}$ ?

See Solution

Problem 12823

Stan needs to find how many sprinkles $(p)$ are needed for 60 cookies if 24 cookies use 384 sprinkles.

See Solution

Problem 12824

How far will Ted run in 285 minutes if he runs $20 \mathrm{~km}$ in 95 minutes? Find $k$ .

See Solution

Problem 12825

Mandy has a 5 m bar weighing $40 \mathrm{~kg}$ . What is the mass $(w)$ of a 3 m bar of the same metal?

See Solution

Problem 12826

Find an equation relating $t$ , the number of tickets, to $c$ , the total cost, using the given data points.

See Solution

Problem 12827

Find when two tree species will be the same height given their current heights and growth rates:
Tree A: 38 in, 4 in/yr; Tree B: 45.5 in, 25 in/yr.

See Solution

Problem 12828

Mika eats 21 hot dogs in 6 minutes. How many minutes $(m)$ for 35 hot dogs at the same pace?

See Solution

Problem 12829

Find the equation that relates $w$ and $z$ given the pairs: (18, 2), (45, 5), (81, 9).

See Solution

Problem 12830

Find the equation that represents the proportional relationship between $a$ and $b$ from the pairs: (8, 3), (24, 9), (40, 15).

See Solution

Problem 12831

Multiply: $(4x + 5)^{2} =$

See Solution

Problem 12832

Complete the multiplication pattern: $8 \times 8 = \_$ and $80 \times 8 = \_$

See Solution

Problem 12833

Find the missing numbers in the pattern:
4 × \_ = 32, 40 × \_ = 320, 400 × \_ = 3,200, 4,000 × \_ = 32,000, 40,000 × \_ = 320,000, 400,000 × \_ = 3,200,000, 4,000,000 × \_ = 32,000,000.

See Solution

Problem 12834

Calculate $80 \times 8$ and $800 \times 8$ .

See Solution

Problem 12835

Apply the distributive property and simplify: $-3(2 x-2) =$

See Solution

Problem 12836

If line $s$ has a slope of 5, what is the slope of the perpendicular line $t$ ? A. $-\frac{1}{5}$ B. $\frac{1}{5}$ C. -5 D. 5

See Solution

Problem 12837

Identify the parent function of the graph given by the equation $y=4$ .

See Solution

Problem 12838

If a green line has a slope of $\frac{3}{4}$ , what is the slope of the perpendicular red line?

See Solution

Problem 12839

Solve for $x$ : $x + 3 = 2x - 4$ . Find the value of $x$ .

See Solution

Problem 12840

Solve for $q$ in the equation: $-21 + q = 8$ .

See Solution

Problem 12841

Solve for $y$ in the equation: $-144=-24 y$ .

See Solution

Problem 12842

Solve for $y$ : $6(y+4) - 5(y+5) = -6$ $y =$

See Solution

Problem 12843

Solve for $c$ in the equation $c-11=-7$ .

See Solution

Problem 12844

Solve for $a$ : $50 a^{2} = 200 a$ . What is the value of $a$ ?

See Solution

Problem 12845

Solve for $a$ in the equation: $(a-4)(a-3)=2$ . What is the value of $a$ ?
$a=$

See Solution

Problem 12846

Bob bought a house for \$42,000. Now it's worth \$67,500 after 8 years.
(a) Find the linear equation $V=m t+b$ for $0 \leq t \leq 15$ . What are $m$ and $b$ ? (b) Estimate when the house will be worth \$72,500. (c) Solve for when it will be worth \$74,000. (d) Find when it will be worth \$80,250.

See Solution

Problem 12847

Find the horizontal distance a jet climbs with slope $m=3/8$ to reach $12,000$ ft altitude.

See Solution

Problem 12848

Find the limit as $x$ approaches -1 for the expression $\frac{x^{2}+9 x+8}{8 x+8}$ .

See Solution

Problem 12849

Calculate Jordon Barrett's Social Security, Medicare taxes, and FIT based on a monthly salary of \$12,400 and prior earnings of \$142,020. Social Security is 6.2% on \$142,800; Medicare is 1.45%. Round answers to 2 decimal places.

See Solution

Problem 12850

Solve for $x$ : $4x + 2(4x + 3) = -18$ $x =$

See Solution

Problem 12851

Find $c$ using the formula $d=(r-c) t$ with $d=18, r=9$ , and $t=3$ . $c=$

See Solution

Problem 12852

Find $c$ using $d=(r-c)t$ given $d=12$ , $r=10$ , and $t=2$ . Solve for $c$ .

See Solution

Problem 12853

Solve for $x$ in the equation: $3(x+1)-4(x+3)=-11$ . Find $x=$

See Solution

Problem 12854

Find $c$ using the formula $d=(r-c) t$ for $d=26$ , $r=15$ , and $t=2$ . $c=$

See Solution

Problem 12855

Solve the following equations: a. $5x - 6 = 0$ b. $25x^2 - 36 = 0$ c. $25x^2 - 36 = 589$ d. $25x^2 - 36 = 60x - 72$

See Solution

Problem 12856

A tennis ball hits a wall at $10.0 \mathrm{~m/s}$ and returns at $8.0 \mathrm{~m/s}$ . Find the average acceleration over $0.045 \mathrm{s}$ .

See Solution

Problem 12857

Find $y$ in the equation $6.4(3) + 2.8y = 44.4$ .

See Solution

Problem 12858

Solve for $x$ in the equation $x^{4}-13x^{2}+36=0$ and factor it if possible.

See Solution

Problem 12859

Find the equation of a line parallel to $y=\frac{4}{5} x+2$ that goes through the point $(1,2)$ .

See Solution

Problem 12860

Find the limit as $x$ approaches 5 for the expression $\frac{x^{2}-13 x+40}{x^{2}-8 x+15}$ .

See Solution

Problem 12861

Find a two-digit number where the sum of its digits is 13 and adding 27 reverses its digits. Options: (a) 48 (b) 53 (c) 58 (d) 57 (e) None.

See Solution

Problem 12862

Convert the repeating decimal $0.\overline{51}$ into a fraction.

See Solution

Problem 12863

Solve for $x$ using the quadratic formula: $8 x^{2}-8 x-1=0$ . Provide solutions separated by commas. $x=$

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Problem 12864

Find $w$ in the equation $4 w^{2}+20 w=-25$ . List all solutions or state "No solution."

See Solution

Problem 12865

Find the discriminant and the real solutions for the equation: $-9 x^{2}-6 x-1=0$ .

See Solution

Problem 12866

Solve for $w$ : $w^{2}-9w+20=0$ . If multiple solutions, list them; if none, say "No solution."

See Solution

Problem 12867

Find the quadratic equation with roots 5 and -2, and leading coefficient 4. Use Yetter $x$ for the variable.

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Problem 12868

Plot five points on the parabola $y=-\frac{3}{4} x^{2}$ : the vertex and two points on each side of it.

See Solution

Problem 12869

Graph the parabola $y=(x+4)^{2}+2$ . Plot the vertex and two points on each side of it.

See Solution

Problem 12870

Esther paints 7 faces in 21 minutes. Find the equation relating $f$ , the number of faces, and $m$ , the time in minutes.

See Solution

Problem 12871

Find the equation relating $p$ (hours parked) and $c$ (cost in dollars) if Alexandra paid \$7 for 3 hours.

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Problem 12872

Carlos harvests cassavas at a constant rate. If he takes 35 mins for 15 cassavas, find the equation for $t$ and $c$ .

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Problem 12873

Flannery made 6 identical arrangements with 30 lilies and 78 roses. Find the equation relating $l$ and $r$ .

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Problem 12874

Create an equation for $y$ (yellow paint) and $b$ (blue paint) where $y + b = 8$ liters for the Green Goober's paint.

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Problem 12875

Find the missing coordinate $x$ for the point $\left(x, \frac{2}{3}\right)$ on the unit circle in quadrant II.

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Problem 12876

Find the missing coordinate $y$ for the point $\left(-\frac{1}{4}, y\right)$ on the unit circle in quadrant III.

See Solution

Problem 12877

Решите уравнения: 1) $4-6(x+2)=3-5x$ ; 2) $(3x-20)(4x+28)(0,2-0,06x)=0$ ; 3) $\frac{x+2}{5}-\frac{x+6}{30}=\frac{x+4}{10}+\frac{x-5}{15}$ .

See Solution

Problem 12878

Find the missing coordinate $x$ for the point $\left(x,-\frac{1}{5}\right)$ on the unit circle in quadrant IV.

See Solution

Problem 12879

A map scale of $1: 50,000$ shows a distance of $8 \mathrm{~cm}$ . Find the actual distance in $\mathrm{km}$ . A) 0.4 B) 4 C) 40 D) 400

See Solution

Problem 12880

Find the greatest number of identical bouquets the florist can make using all 60 tulips and 72 daffodils.

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Problem 12881

Dalam segitiga $PQR$ dengan $\tan \theta=\frac{5}{12}$ , cari nilai $\sin \alpha$ terkait $\alpha$ dan $\theta$ .

See Solution

Problem 12882

Find the six trigonometric functions for the point $\left(-\frac{1}{\sqrt{26}},-\frac{5}{\sqrt{26}}\right)$ on the unit circle.

See Solution

Problem 12883

Based on the equation $C=\frac{5}{9}(F-32)$ , which statements about temperature changes are true? A) I only B) II only C) III only D) I and II only

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Problem 12884

Identify the false statement about the unit circle: A. $x^{2}+y^{2}=1$ ; B. radius 1 at origin; C. infinite integer points; D. $(a, b)$ if $a^{2}+b^{2}=1$ .

See Solution

Problem 12885

If $3x - y = 12$ , find the value of $\frac{8^x}{2^y}$ . A) $2^{12}$ B) $4^{4}$ C) $8^{2}$ D) Cannot determine.

See Solution

Problem 12886

Identify which equation does not define a trigonometric function for a point $P(x, y)$ on the unit circle: A. $\cot t=\frac{y}{x}, x \neq 0$ B. $\csc t=\frac{1}{y}, y \neq 0$ C. $\cos t=x$ D. $\sec t=\frac{1}{x}, x \neq 0$

See Solution

Problem 12887

Ms. Sander's class read 1,298 books and will read 1,438 more. How many books will they read in total? Calculate $1,298 + 1,438$ .

See Solution

Problem 12888

Cameron has run 1,383 miles and wants to reach 2,000 miles. How many more miles does she need to run? $2000 - 1383$

See Solution

Problem 12889

Vuyisanani deposited R17 600 at a simple interest rate. At 19, it was R49 984. How much interest if rate was $2.25\%$ less? a. R27 954,61 b. R26 048,00 c. R32 384,00 d. R6 336,00

See Solution

Problem 12890

Find the acute angle $\theta$ such that $\sec \theta=2$ . Solve for $\theta$ in radians. $\theta=$

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Problem 12891

Vuyisanani invested R16 700 at simple interest. At age 21, it grew to R47 929. If interest was 2\% less, what would he earn in 17 years? a. R26 176,57 b. R31 229,00 c. R25 551,00 d. R5 678,00

See Solution

Problem 12892

Solve for $x$ in the equation $2 - \frac{x}{2} + 20 = 0$ .

See Solution

Problem 12893

Find $k$ if $k\%$ of 127 equals 32. A) 0.25 B) 0.55 C) 25 D) 55

See Solution

Problem 12894

Identify the invalid equation from the options below: A. $\sin \frac{\pi}{3}=\cos \frac{\pi}{6}$ B. $\sin \frac{\pi}{4}=\cos \frac{\pi}{4}$ C. $\csc \frac{\pi}{6}=\cos \frac{\pi}{3}$ D. $\tan \frac{\pi}{4}=\cot \frac{\pi}{4}$

See Solution

Problem 12895

Solve the equation $\frac{x}{2}+20=0$ for $x$ .

See Solution

Problem 12896

Solve the equation: $2 x^{2}-10 x=0$ for the variable $x$ .

See Solution

Problem 12897

Solve the equation $x^{2}+2x=5x$ .

See Solution

Problem 12898

Model kakapo population growth with a recurrence relation. Assume 50% female, 1 egg/4 years, and 29% hatchling survival.

See Solution

Problem 12899

Find the roots of the equation $2x^3 + x^2 - 4 = 0$ .

See Solution

Problem 12900

Find the acute angle $\theta$ where $\sin \theta = \frac{\sqrt{3}}{2}$ . What is $\theta$ in radians?

See Solution

1 ...126 127 128 129 130 131 132 ...188

Equation

Problem 12801

Find the gas left in the tank over time, its equation, domain, range, and if it's continuous or discrete.

Problem 12802

Simplify: (x2+5x−2)−(2x2+4x−4)=(x^{2}+5x-2)-(2x^{2}+4x-4)=(x2+5x−2)−(2x2+4x−4)=

Problem 12803

Solve tan⁡θ+tan⁡3θ∘1−tan⁡θtan⁡30∘+1=0\frac{\tan \theta+\tan 3 \theta^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=01−tanθtan30∘tanθ+tan3θ∘​+1=0 for tan⁡θ\tan \thetatanθ in surd form.

Problem 12804

Solve tan⁡θ+tan⁡30∘1−tan⁡θtan⁡30∘+1=0\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=01−tanθtan30∘tanθ+tan30∘​+1=0 for tan⁡θ\tan \thetatanθ in surd form.

Problem 12805

Solve for xxx in the equation x5−2=9\frac{x}{5}-2=95x​−2=9.

Problem 12806

Solve for xxx: 5=−x5+65=-\frac{x}{5}+65=−5x​+6

Problem 12807

Find the food cost percent for one churro dipped in chocolate, given total cost of churros and chocolate used.

Problem 12808

Find the selling price for a \$20.80 wine to achieve a 40% cost. Options: \$52.00, \$40.00, \$37.50, \$45.00.

Problem 12809

Calculate the food cost percent if a peach and apple crisp costs \$0.69 to produce and sells for \$6.00.

Problem 12810

A man is 2 cm2 \mathrm{~cm}2 cm tall in a photo and 1.8 m1.8 \mathrm{~m}1.8 m tall in reality. Find the scale factor.

Problem 12811

Find the food cost percentage for the month given costs of \$13,500 and sales of \$41,411.

Problem 12812

Find the preliminary selling price of a pizza costing \$1.75, aiming for a 30.0% food cost. Options: \$7.10, \$5.83, \$17.10, \$5.25.

Problem 12813

Find the minimum selling price for a filet mignon dinner costing \$13.50 with a food cost percent of 34.5%.

Problem 12814

What is the beverage cost if sales are \$22,000 and cost percent is 22.5%?

Problem 12815

Find the minimum selling price of a 6 oz bottle of Oseki Sake with a case cost of \$55.20 and a desired cost of 26.5%.

Problem 12816

Solve for yyy in the equation y+11+15=8\sqrt{y+11}+15=8y+11​+15=8. What is yyy?

Problem 12817

Find the length of a path in a parallelogram area of 54 km254 \mathrm{~km}^{2}54 km2, where A=bhA = b hA=bh and 54=9h54 = 9 h54=9h.

Problem 12818

Solve (u+6)3+24=0(u+6)^{3}+24=0(u+6)3+24=0 for real uuu and express your answer in simplified radical form.

Problem 12819

Multiply: (5a−7)(5a+7)=(5a - 7)(5a + 7) = (5a−7)(5a+7)=

Problem 12820

How many hours (h)(h)(h) can Jovie keep the fire burning with 9 logs if 15 logs last for 10 hours?

Problem 12821

Problem 12822

Yoku uses 2ml2 \mathrm{ml}2ml for 50 cm250 \mathrm{~cm}^{2}50 cm2. How much sunscreen (c)(c)(c) for 325 cm2325 \mathrm{~cm}^{2}325 cm2?

Problem 12823

Stan needs to find how many sprinkles (p)(p)(p) are needed for 60 cookies if 24 cookies use 384 sprinkles.

Problem 12824

How far will Ted run in 285 minutes if he runs 20 km20 \mathrm{~km}20 km in 95 minutes? Find kkk.

Problem 12825

Mandy has a 5 m bar weighing 40 kg40 \mathrm{~kg}40 kg. What is the mass (w)(w)(w) of a 3 m bar of the same metal?

Problem 12826

Find an equation relating ttt, the number of tickets, to ccc, the total cost, using the given data points.

Problem 12827

Find when two tree species will be the same height given their current heights and growth rates: Tree A: 38 in, 4 in/yr; Tree B: 45.5 in, 25 in/yr.

Problem 12828

Mika eats 21 hot dogs in 6 minutes. How many minutes (m)(m)(m) for 35 hot dogs at the same pace?

Problem 12829

Find the equation that relates www and zzz given the pairs: (18, 2), (45, 5), (81, 9).

Problem 12830

Find the equation that represents the proportional relationship between aaa and bbb from the pairs: (8, 3), (24, 9), (40, 15).

Problem 12831

Multiply: (4x+5)2=(4x + 5)^{2} = (4x+5)2=

Problem 12832

Complete the multiplication pattern: 8×8=_8 \times 8 = \_8×8=_ and 80×8=_80 \times 8 = \_80×8=_

Problem 12833

Find the missing numbers in the pattern: 4 × \_ = 32, 40 × \_ = 320, 400 × \_ = 3,200, 4,000 × \_ = 32,000, 40,000 × \_ = 320,000, 400,000 × \_ = 3,200,000, 4,000,000 × \_ = 32,000,000.

Problem 12834

Calculate 80×880 \times 880×8 and 800×8800 \times 8800×8.

Problem 12835

Apply the distributive property and simplify: −3(2x−2)=-3(2 x-2) =−3(2x−2)=

Problem 12836

If line sss has a slope of 5, what is the slope of the perpendicular line ttt? A. −15-\frac{1}{5}−51​ B. 15\frac{1}{5}51​ C. -5 D. 5

Problem 12837

Identify the parent function of the graph given by the equation y=4y=4y=4.

Problem 12838

If a green line has a slope of 34\frac{3}{4}43​, what is the slope of the perpendicular red line?

Problem 12839

Solve for xxx: x+3=2x−4x + 3 = 2x - 4x+3=2x−4. Find the value of xxx.

Problem 12840

Solve for qqq in the equation: −21+q=8-21 + q = 8−21+q=8.

Simplify: $(x^{2}+5x-2)-(2x^{2}+4x-4)=$

Solve $\frac{\tan \theta+\tan 3 \theta^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ for $\tan \theta$ in surd form.

Solve $\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ for $\tan \theta$ in surd form.

Solve for $x$ in the equation $\frac{x}{5}-2=9$ .

Solve for $x$ : $5=-\frac{x}{5}+6$

A man is $2 \mathrm{~cm}$ tall in a photo and $1.8 \mathrm{~m}$ tall in reality. Find the scale factor.

Solve for $y$ in the equation $\sqrt{y+11}+15=8$ . What is $y$ ?

Find the length of a path in a parallelogram area of $54 \mathrm{~km}^{2}$ , where $A = b h$ and $54 = 9 h$ .

Solve $(u+6)^{3}+24=0$ for real $u$ and express your answer in simplified radical form.

Multiply: $(5a - 7)(5a + 7) =$

How many hours $(h)$ can Jovie keep the fire burning with 9 logs if 15 logs last for 10 hours?

Yoku uses $2 \mathrm{ml}$ for $50 \mathrm{~cm}^{2}$ . How much sunscreen $(c)$ for $325 \mathrm{~cm}^{2}$ ?

Stan needs to find how many sprinkles $(p)$ are needed for 60 cookies if 24 cookies use 384 sprinkles.

How far will Ted run in 285 minutes if he runs $20 \mathrm{~km}$ in 95 minutes? Find $k$ .

Mandy has a 5 m bar weighing $40 \mathrm{~kg}$ . What is the mass $(w)$ of a 3 m bar of the same metal?

Find an equation relating $t$ , the number of tickets, to $c$ , the total cost, using the given data points.

Find when two tree species will be the same height given their current heights and growth rates:
Tree A: 38 in, 4 in/yr; Tree B: 45.5 in, 25 in/yr.

Mika eats 21 hot dogs in 6 minutes. How many minutes $(m)$ for 35 hot dogs at the same pace?

Find the equation that relates $w$ and $z$ given the pairs: (18, 2), (45, 5), (81, 9).

Find the equation that represents the proportional relationship between $a$ and $b$ from the pairs: (8, 3), (24, 9), (40, 15).

Multiply: $(4x + 5)^{2} =$

Complete the multiplication pattern: $8 \times 8 = \_$ and $80 \times 8 = \_$

Find the missing numbers in the pattern:
4 × \_ = 32, 40 × \_ = 320, 400 × \_ = 3,200, 4,000 × \_ = 32,000, 40,000 × \_ = 320,000, 400,000 × \_ = 3,200,000, 4,000,000 × \_ = 32,000,000.

Calculate $80 \times 8$ and $800 \times 8$ .

Apply the distributive property and simplify: $-3(2 x-2) =$

If line $s$ has a slope of 5, what is the slope of the perpendicular line $t$ ? A. $-\frac{1}{5}$ B. $\frac{1}{5}$ C. -5 D. 5

Identify the parent function of the graph given by the equation $y=4$ .

If a green line has a slope of $\frac{3}{4}$ , what is the slope of the perpendicular red line?

Solve for $x$ : $x + 3 = 2x - 4$ . Find the value of $x$ .

Solve for $q$ in the equation: $-21 + q = 8$ .

Solve for $y$ in the equation: $-144=-24 y$ .

Solve for $y$ : $6(y+4) - 5(y+5) = -6$ $y =$

Solve for $c$ in the equation $c-11=-7$ .

Solve for $a$ : $50 a^{2} = 200 a$ . What is the value of $a$ ?

Solve for $a$ in the equation: $(a-4)(a-3)=2$ . What is the value of $a$ ?
$a=$

Find the horizontal distance a jet climbs with slope $m=3/8$ to reach $12,000$ ft altitude.

Find the limit as $x$ approaches -1 for the expression $\frac{x^{2}+9 x+8}{8 x+8}$ .

Solve for $x$ : $4x + 2(4x + 3) = -18$ $x =$

Find $c$ using the formula $d=(r-c) t$ with $d=18, r=9$ , and $t=3$ . $c=$

Find $c$ using $d=(r-c)t$ given $d=12$ , $r=10$ , and $t=2$ . Solve for $c$ .

Solve for $x$ in the equation: $3(x+1)-4(x+3)=-11$ . Find $x=$

Find $c$ using the formula $d=(r-c) t$ for $d=26$ , $r=15$ , and $t=2$ . $c=$

Solve the following equations: a. $5x - 6 = 0$ b. $25x^2 - 36 = 0$ c. $25x^2 - 36 = 589$ d. $25x^2 - 36 = 60x - 72$

A tennis ball hits a wall at $10.0 \mathrm{~m/s}$ and returns at $8.0 \mathrm{~m/s}$ . Find the average acceleration over $0.045 \mathrm{s}$ .

Find $y$ in the equation $6.4(3) + 2.8y = 44.4$ .

Solve for $x$ in the equation $x^{4}-13x^{2}+36=0$ and factor it if possible.

Find the equation of a line parallel to $y=\frac{4}{5} x+2$ that goes through the point $(1,2)$ .

Find the limit as $x$ approaches 5 for the expression $\frac{x^{2}-13 x+40}{x^{2}-8 x+15}$ .

Convert the repeating decimal $0.\overline{51}$ into a fraction.

Solve for $x$ using the quadratic formula: $8 x^{2}-8 x-1=0$ . Provide solutions separated by commas. $x=$

Find $w$ in the equation $4 w^{2}+20 w=-25$ . List all solutions or state "No solution."

Find the discriminant and the real solutions for the equation: $-9 x^{2}-6 x-1=0$ .

Solve for $w$ : $w^{2}-9w+20=0$ . If multiple solutions, list them; if none, say "No solution."

Find the quadratic equation with roots 5 and -2, and leading coefficient 4. Use Yetter $x$ for the variable.

Plot five points on the parabola $y=-\frac{3}{4} x^{2}$ : the vertex and two points on each side of it.

Graph the parabola $y=(x+4)^{2}+2$ . Plot the vertex and two points on each side of it.

Esther paints 7 faces in 21 minutes. Find the equation relating $f$ , the number of faces, and $m$ , the time in minutes.

Find the equation relating $p$ (hours parked) and $c$ (cost in dollars) if Alexandra paid \$7 for 3 hours.

Carlos harvests cassavas at a constant rate. If he takes 35 mins for 15 cassavas, find the equation for $t$ and $c$ .

Flannery made 6 identical arrangements with 30 lilies and 78 roses. Find the equation relating $l$ and $r$ .

Create an equation for $y$ (yellow paint) and $b$ (blue paint) where $y + b = 8$ liters for the Green Goober's paint.