Word Problems

Problem 3601

Caitlyn uses 41-cent and 7-cent stamps for \$1.72 postage. How many of each stamp did she use?

See Solution

Problem 3602

Wesley spends \$190 on phone, \$318 on electric, and \$288 on health. If he earns \$2800, how much is left after bills?

See Solution

Problem 3603

Find two whole numbers such that their product is 150 and their sum is 31.

See Solution

Problem 3604

Find the missing terms in the sequence: $\frac{3}{4}, 3, 12, 48$ . Is it arithmetic (A), geometric (G), or neither (N)?

See Solution

Problem 3605

In a biology course with a 5:4 boy-to-girl ratio and 396 students, how many are boys?

See Solution

Problem 3606

Find the values of secant and cosecant for $\theta=60^{\circ}$ using trig function reciprocals. $\sec(60^{\circ})=$ $\csc(60^{\circ})=$

See Solution

Problem 3607

Find the exact values of $\sec(60^{\circ})$ and $\csc(60^{\circ})$ using trig function reciprocals. No decimals!

See Solution

Problem 3608

Aaliyah buys $3 \frac{1}{2}$ lbs of lemons and $2 \frac{2}{5}$ lbs of strawberries. What is their total cost? \$3.48 for lemons, \$4.33 for strawberries.

See Solution

Problem 3609

Calculate Rosalind Company's return on assets given revenues of \$111,500, expenses of \$92,545, and assets of \$200,000 and \$246,000.

See Solution

Problem 3610

Jean Claude's factory makes 1,840 pencil cases daily. Find total cases produced in 180 days: $1,840 \times 180$ .

See Solution

Problem 3611

In a fraternity of 32 members, 18 study math, 5 study both, and 8 study neither. How many study art history only?

See Solution

Problem 3612

How many zeros are in the product $(6 \times 5) \times 10^{3}$ ?

See Solution

Problem 3613

Aubrey wants to save \$231 by washing cars at \$12 each. Estimate how many cars he needs to wash.

See Solution

Problem 3614

Shiola sleeps 479 minutes per night. Calculate her total sleep in 4 weeks: $479 \times 28$ .

See Solution

Problem 3615

How many stamps can Michaela buy with \ $30 if each costs \$0.28? Calculate:$ \frac{30}{0.28}$.

See Solution

Problem 3616

How many significant figures are in the number 1.00?

See Solution

Problem 3617

What is the cost per pound of chicken if 4.5 pounds cost \$ 13.40? Round to the nearest cent.

See Solution

Problem 3618

Rewrite 76.00 with 1 significant figure.

See Solution

Problem 3619

What is the cost per pound of chicken if 4.5 pounds cost \$ 13.40? Round to the nearest cent.

See Solution

Problem 3620

Find and correct the error in Jeffrey's simplification of the expression: $c-2 x$ to $-7.5 x^{8} y^{13}$ .

See Solution

Problem 3621

Find the $y$ -intercept of $f(x)=x^{2}+3x+5$ . Options: (0,-5), (0,-3), (0,3), (0,5).

See Solution

Problem 3622

Create 5 equations where the sum equals 10 (e.g., $10 + 0 = 10$ ).

See Solution

Problem 3623

Which score from the set $10, 20, 30, 40, 50, 60$ has a z score of 0.00? Choices: 10, 20, 30, 35, 50.

See Solution

Problem 3624

Find the percentile rank for an IQ score of 100 using the standard normal distribution (z-distribution).

See Solution

Problem 3625

Find the percentile for a score of 156 given a mean of 120 and a standard deviation of 12.

See Solution

Problem 3626

Find the density of quartz if its volume is 64 cm³ and mass is 100 g. Round to the nearest tenth: $density = \frac{mass}{volume}$ .

See Solution

Problem 3627

Find the proportion of scores in a $z$ distribution between $z = -1.00$ and $z = 1.00$ . Options: .2500, .6826, .3413, .5000.

See Solution

Problem 3628

An art teacher hangs 2 rows of 10 paintings each. How many paintings does she have in total?

See Solution

Problem 3629

Find the proportion of scores in a $\mathrm{z}$ distribution between $\mathrm{z} = -2.00$ and $\mathrm{z} = 0.00$ .

See Solution

Problem 3630

Find the proportion of scores in a $z$ distribution between $z = 0.00$ and $z = 2.00$ . Options: .3413, .4772, .7500, .8176.

See Solution

Problem 3631

Find the proportion of SAT verbal scores between 400 and 600, given a mean of 500 and a standard deviation of 100.

See Solution

Problem 3632

Create 5 equations that add up to 8, such as $x_1 + x_2 + x_3 + x_4 + x_5 = 8$ .

See Solution

Problem 3633

Find the proportion of SAT verbal scores between 200 and $800$ using the $z$ distribution. Choices: .3413, .2500, .5000, .9970.

See Solution

Problem 3634

Mai has 40 tens. How many hundreds is that? Write the number.

See Solution

Problem 3635

Find the largest $\delta$ for $\lim _{x \rightarrow 2}\left(x^{3}-5 x+5\right)=3$ with $\varepsilon=0.2$ and $\varepsilon=0.1$ . Round to four decimal places.

See Solution

Problem 3636

Translate "x divided by the product of 9 and y" into an algebraic expression.

See Solution

Problem 3637

Find the z score that separates the lower 50% of the z distribution: 0.00, 1.96, $-1.00$ , or $-1.96$ ?

See Solution

Problem 3638

Translate "4 times the sum of 2 and a number" into an expression using $x$ or $y$ .

See Solution

Problem 3639

Translate "the sum of two numbers multiplied by 9" into an algebraic expression using $x$ and $y$ .

See Solution

Problem 3640

Translate "a number multiplied by five" into an algebraic expression using $x$ or $y$ .

See Solution

Problem 3641

Identify a Type II error from these options: rejecting $H_0$ when $H_0$ is false, true, or not rejecting when true/false.

See Solution

Problem 3642

Translate "seven less than a number" into an algebraic expression using $x$ or $y$ .

See Solution

Problem 3643

Translate "the ratio of a number to four" into an algebraic expression using $x$ or $y$ .

See Solution

Problem 3644

Compare the area of a rectangle (7 in by $\frac{3}{4}$ in) and a square (side $2 \frac{1}{2}$ in).

See Solution

Problem 3645

Find the line equation through $(3,-1)$ parallel to $y=-2x-7$ . Show your steps.

See Solution

Problem 3646

What term describes findings in an experiment that reach conventional statistical significance? Options: nonsignificant, insignificant, significant, unworthy.

See Solution

Problem 3647

Write an algebraic expression for the sum of eight, $y$ , and $x$ without simplifying.

See Solution

Problem 3648

Write an algebraic expression for the total hours in $d$ days plus 13 hours without simplifying.

See Solution

Problem 3649

A triangle has sides in the ratio 3:8:7 and a perimeter of $63 \mathrm{~cm}$ . Find the shortest side.

See Solution

Problem 3650

Express "eight less than a number" and "eight less a number" using the variable $x$ .

See Solution

Problem 3651

Find the scale factor for the ratio $\frac{3 \mathrm{in}}{12 \mathrm{ft}}$ . Options: a. $\frac{1}{4}$ b. $\frac{1}{48}$ c. $\frac{1}{2}$ d. $\frac{1}{3}$

See Solution

Problem 3652

Translate "the product of two numbers multiplied by 8" into an algebraic expression using $x$ or $y^{\prime \prime}$ .

See Solution

Problem 3653

Translate "8 times a number, divided by 10" into an algebraic expression using $x$ or $y$ .

See Solution

Problem 3654

Calculate the calories in Greek Key Lime Yogurt with 4.5g fat, 17g carbs, and 11g protein. What is the total?

See Solution

Problem 3655

A soccer club has a junior to freshman ratio of $3:2$ and 45 total students. How many juniors are there?

See Solution

Problem 3656

Jacqui makes a profit of \$0.35 per card. If she made \$42, how many cards did she sell? What was her total earnings?

See Solution

Problem 3657

Which option is not a similarity transformation: a. Translation, b. Dilation, c. Rotation, d. Stretch?

See Solution

Problem 3658

The algebraic expression for the sum of six, $x$ , and $y$ is: $6 + x + y$ .

See Solution

Problem 3659

Translate "5 times the sum of a number and 5" into an algebraic expression using $x$ or $y$ .

See Solution

Problem 3660

What does $\sim$ signify? a. Congruency b. Similarity c. Equal measure d. Almost equal

See Solution

Problem 3661

The expression for the product of twelve, $y$ , and $x$ is $12 \cdot y \cdot x$ .

See Solution

Problem 3662

Sally's triangle has angles $50^{\circ}$ and $60^{\circ}$ ; Tom's has $50^{\circ}$ and $70^{\circ}$ . Are they similar?

See Solution

Problem 3663

Translate "the number of days in $t$ weeks and 4 days" into an algebraic expression using $t$ .

See Solution

Problem 3664

Given $\triangle \mathrm{STV} \sim \triangle \mathrm{WQX}$ , find the missing value in $\frac{S T}{T V}=\frac{W Q}{\square}$ . Choices: a. ST, b. XW, c. VS, d. $Q X$

See Solution

Problem 3665

If $\triangle \mathrm{AFG} \sim \triangle \mathrm{RHT}$ , find $\angle A \cong$ which corresponds to which angle? a. $\angle \mathrm{R}$ b. $\angle \mathrm{H}$ c. $\angle T$ d. $\angle G$

See Solution

Problem 3666

Translate "the product of a number and nine" into an algebraic expression using $\chi$ or $y$ .

See Solution

Problem 3667

The expression is 9 less than the sum of $y$ and $x$ : $y + x - 9$ .

See Solution

Problem 3668

Translate "nine more than a number" into an algebraic expression using $x$ or $y$ .

See Solution

Problem 3669

1. $x - 12$ (twelve less than a number)
2. $12 - x$ (twelve less a number)

See Solution

Problem 3670

Translate "the cost of $x$ textbooks if one textbook costs \ $117" into an algebraic expression using$ x$.

See Solution

Problem 3671

Find the volume in $\mathrm{cm}^3$ of a $9.37 \mathrm{~g}$ metal piece with a density of $4.66 \mathrm{~g/cm}^3$ .

See Solution

Problem 3672

A cow produces 53 pounds of milk daily. Estimate gallons produced using the fact that 1 gallon weighs 8.5 pounds.

See Solution

Problem 3673

How many nitrogen atoms are in one mole of serotonin, $\mathrm{C}_{10} \mathrm{H}_{12} \mathrm{~N}_{2} \mathrm{O}$ ? A. $1.2 \times 10^{24}$ B. $6.02 \times 10^{23}$ C. $7.2 \times 10^{24}$ D. $6.02 \times 10^{24}$

See Solution

Problem 3674

Find the sum of $10.26 \mathrm{~g}$ and $0.063 \mathrm{~g}$ .

See Solution

Problem 3675

A triangle transforms from $XY Z$ (perimeter 40) to $X'Y'Z'$ (perimeter 100). Find the transformation and $XY, Y'Z'$ . Options: a, b, c, d.

See Solution

Problem 3676

Identify the correct pairing for the reaction: $2 \mathrm{Ag}(\mathrm{s})+\mathrm{I}_{2}(\mathrm{~s}) \rightarrow 2 \mathrm{AgI}(\mathrm{s})$ . Options: A, B, C, D.

See Solution

Problem 3677

Find the perimeter of a regular pentagon with one side measuring 7 units. Answer in units.

See Solution

Problem 3678

Find the length of the other side of a rectangle with a perimeter of $26 \mathrm{~m}$ and one side measuring $4 \mathrm{~m}$ .

See Solution

Problem 3679

1. Calculate $2,673 + 567$ .
2. Find the sum of $45 + 59 + 61$ .
3. A crayon company made 7,491 green, 5,063 red crayons. How many more green than red?

See Solution

Problem 3680

Find the length of the missing side of a rectangle with perimeter $26 \mathrm{~m}$ and one side $4 \mathrm{~m}$ .

See Solution

Problem 3681

A figure has sides of 16m, 15m, and 17m. Confirm the perimeter of 52m and find the length of the missing side.

See Solution

Problem 3682

Nick has 4 cherry trees and plants 1 per hour. Find the equation $c=h+$ for total trees $c$ and hours $h$ .

See Solution

Problem 3683

Find the length of the missing side of a rectangle with a perimeter of $32 \mathrm{~m}$ and one side of $11 \mathrm{~m}$ .

See Solution

Problem 3684

Calculate the absolute and relative changes in Japan's population under 15 from 1980 (18.08\%) to 2020 (12.45\%).

See Solution

Problem 3685

Are triangles $\triangle ABC$ and $\triangle DEF$ similar given $\angle A=30^{\circ}$ , $\angle D=30^{\circ}$ , $\angle F=38^{\circ}$ ? Justify.

See Solution

Problem 3686

Determine what information is needed to show $\triangle L M N$ can be mapped onto $\triangle O P Q$ . Options: a. $O Q=6$ , b. $M N=9$ , c. $\angle L M N \cong \angle Q O P$ , d. $\angle N L M \cong \angle Q O P$ .

See Solution

Problem 3687

1. Find the midpoint of $\overline{B D}$ where B is at $(-5,-6)$ and D is at $(9,11)$ .
2. If M is the midpoint of $\overline{X Y}$ with $X(1,-2)$ and $M(7,4)$ , find Y's coordinates.
3. Calculate the length of $\overline{R S}$ for $R(8,2)$ and $S(3,7)$ , rounding to the nearest whole number.
4. Find the weighted average of 6 (weight 4) and 12 (weight 2).

See Solution

Problem 3688

A light bulb lasts $N(2000, 65)$ hours. Out of 590 bulbs, how many last < 1850 hours? Round to the nearest whole number.

See Solution

Problem 3689

In a town, 105 males are selected. With a mean of 130 and SD of 10, how many have systolic BP < 154?

See Solution

Problem 3690

In 37 trials of the 400m dash, how many times will Daniel finish between 60 and 63 seconds, given $\mu = 63$ and $\sigma = 1.5$ ?

See Solution

Problem 3691

Find the smallest angle of a triangle with angle ratios of $5:7:8$ . Choices: 72°, 45°, 63°, 8°.

See Solution

Problem 3692

Angle 1 and Angle 2 are complementary. If $m \angle 1=(x+8)^{\circ}$ and $m \angle 2=(5x+10)^{\circ}$ , find $x$ .

See Solution

Problem 3693

Angle 1 and Angle 2 are supplementary. If $m \angle 2=104^{\circ}$ , find $m \angle 1$ .

See Solution

Problem 3694

Angle 1 and Angle 2 are supplementary with $m \angle 2=104^{\circ}$ . Find $m \angle 1$ . Also, find $m \angle A B D$ for the linear pair.

See Solution

Problem 3695

Hakim listened to a song 3 times for a total of 14.64 minutes. What is the duration of one song in minutes? $\frac{14.64}{3}$

See Solution

Problem 3696

Find the absolute and relative changes in the population over 65 from 8.91% in 1980 to 23.32% in 2020. Round as specified.

See Solution

Problem 3697

Find the length of $\overline{A B}$ given that $B$ is between $A$ and $C$ , with $\overline{A B}=4m+5$ , $\overline{B C}=m-2$ , and $\overline{A C}=53$ .

See Solution

Problem 3698

Grafica la curva velocidad-volumen con $F(x)$ y $y=-\frac{2}{3}x+\frac{10}{3}$ para evaluar la espirometría.

See Solution

Problem 3699

Adrian, un niño de 10 años, necesita espirometría. ¿Qué volumen maximiza su velocidad de espiración? Redondea a 2 decimales.

See Solution

Problem 3700

Grafica la curva velocidad-volumen de Adrian con $F(x)$ y compárala con $y = -2x + 10$ del otro paciente.

See Solution

1 ...34 35 36 37 38 39 40 ...101

Word Problems

Problem 3601

Caitlyn uses 41-cent and 7-cent stamps for \$1.72 postage. How many of each stamp did she use?

Problem 3602

Wesley spends \$190 on phone, \$318 on electric, and \$288 on health. If he earns \$2800, how much is left after bills?

Problem 3603

Find two whole numbers such that their product is 150 and their sum is 31.

Problem 3604

Find the missing terms in the sequence: 34,3,12,48\frac{3}{4}, 3, 12, 4843​,3,12,48. Is it arithmetic (A), geometric (G), or neither (N)?

Problem 3605

In a biology course with a 5:4 boy-to-girl ratio and 396 students, how many are boys?

Problem 3606

Find the values of secant and cosecant for θ=60∘\theta=60^{\circ}θ=60∘ using trig function reciprocals. sec⁡(60∘)=\sec(60^{\circ})= sec(60∘)= csc⁡(60∘)=\csc(60^{\circ})= csc(60∘)=

Problem 3607

Find the exact values of sec⁡(60∘)\sec(60^{\circ})sec(60∘) and csc⁡(60∘)\csc(60^{\circ})csc(60∘) using trig function reciprocals. No decimals!

Problem 3608

Aaliyah buys 3123 \frac{1}{2}321​ lbs of lemons and 2252 \frac{2}{5}252​ lbs of strawberries. What is their total cost? \$3.48 for lemons, \$4.33 for strawberries.

Problem 3609

Calculate Rosalind Company's return on assets given revenues of \$111,500, expenses of \$92,545, and assets of \$200,000 and \$246,000.

Problem 3610

Jean Claude's factory makes 1,840 pencil cases daily. Find total cases produced in 180 days: 1,840×1801,840 \times 1801,840×180.

Problem 3611

In a fraternity of 32 members, 18 study math, 5 study both, and 8 study neither. How many study art history only?

Problem 3612

How many zeros are in the product (6×5)×103 (6 \times 5) \times 10^{3} (6×5)×103?

Problem 3613

Aubrey wants to save \$231 by washing cars at \$12 each. Estimate how many cars he needs to wash.

Problem 3614

Shiola sleeps 479 minutes per night. Calculate her total sleep in 4 weeks: 479×28479 \times 28479×28.

Problem 3615

How many stamps can Michaela buy with \30ifeachcosts$0.28?Calculate:30 if each costs \$0.28? Calculate: 30ifeachcosts$0.28?Calculate:\frac{30}{0.28}$.

Problem 3616

How many significant figures are in the number 1.00?

Problem 3617

What is the cost per pound of chicken if 4.5 pounds cost \$ 13.40? Round to the nearest cent.

Problem 3618

Rewrite 76.00 with 1 significant figure.

Problem 3619

What is the cost per pound of chicken if 4.5 pounds cost \$ 13.40? Round to the nearest cent.

Problem 3620

Find and correct the error in Jeffrey's simplification of the expression: c−2xc-2 xc−2x to −7.5x8y13-7.5 x^{8} y^{13}−7.5x8y13.

Problem 3621

Find the yyy-intercept of f(x)=x2+3x+5f(x)=x^{2}+3x+5f(x)=x2+3x+5. Options: (0,-5), (0,-3), (0,3), (0,5).

Problem 3622

Create 5 equations where the sum equals 10 (e.g., 10+0=1010 + 0 = 1010+0=10).

Problem 3623

Which score from the set 10,20,30,40,50,6010, 20, 30, 40, 50, 6010,20,30,40,50,60 has a z score of 0.00? Choices: 10, 20, 30, 35, 50.

Problem 3624

Find the percentile rank for an IQ score of 100 using the standard normal distribution (z-distribution).

Problem 3625

Find the percentile for a score of 156 given a mean of 120 and a standard deviation of 12.

Problem 3626

Find the density of quartz if its volume is 64 cm³ and mass is 100 g. Round to the nearest tenth: density=massvolumedensity = \frac{mass}{volume}density=volumemass​.

Problem 3627

Find the proportion of scores in a zzz distribution between z=−1.00z = -1.00z=−1.00 and z=1.00z = 1.00z=1.00. Options: .2500, .6826, .3413, .5000.

Problem 3628

An art teacher hangs 2 rows of 10 paintings each. How many paintings does she have in total?

Problem 3629

Find the proportion of scores in a z\mathrm{z}z distribution between z=−2.00\mathrm{z} = -2.00z=−2.00 and z=0.00\mathrm{z} = 0.00z=0.00.

Problem 3630

Find the proportion of scores in a zzz distribution between z=0.00z = 0.00z=0.00 and z=2.00z = 2.00z=2.00. Options: .3413, .4772, .7500, .8176.

Problem 3631

Find the proportion of SAT verbal scores between 400 and 600, given a mean of 500 and a standard deviation of 100.

Problem 3632

Create 5 equations that add up to 8, such as x1+x2+x3+x4+x5=8x_1 + x_2 + x_3 + x_4 + x_5 = 8x1​+x2​+x3​+x4​+x5​=8.

Problem 3633

Find the proportion of SAT verbal scores between 200 and 800800800 using the zzz distribution. Choices: .3413, .2500, .5000, .9970.

Problem 3634

Mai has 40 tens. How many hundreds is that? Write the number.

Problem 3635

Find the largest δ\deltaδ for lim⁡x→2(x3−5x+5)=3\lim _{x \rightarrow 2}\left(x^{3}-5 x+5\right)=3limx→2​(x3−5x+5)=3 with ε=0.2\varepsilon=0.2ε=0.2 and ε=0.1\varepsilon=0.1ε=0.1. Round to four decimal places.

Problem 3636

Translate "x divided by the product of 9 and y" into an algebraic expression.

Problem 3637

Find the z score that separates the lower 50% of the z distribution: 0.00, 1.96, −1.00-1.00−1.00, or −1.96-1.96−1.96?

Problem 3638

Translate "4 times the sum of 2 and a number" into an expression using xxx or yyy.

Problem 3639

Translate "the sum of two numbers multiplied by 9" into an algebraic expression using xxx and yyy.

Problem 3640

Find the missing terms in the sequence: $\frac{3}{4}, 3, 12, 48$ . Is it arithmetic (A), geometric (G), or neither (N)?

Find the values of secant and cosecant for $\theta=60^{\circ}$ using trig function reciprocals. $\sec(60^{\circ})=$ $\csc(60^{\circ})=$

Find the exact values of $\sec(60^{\circ})$ and $\csc(60^{\circ})$ using trig function reciprocals. No decimals!

Aaliyah buys $3 \frac{1}{2}$ lbs of lemons and $2 \frac{2}{5}$ lbs of strawberries. What is their total cost? \$3.48 for lemons, \$4.33 for strawberries.

Jean Claude's factory makes 1,840 pencil cases daily. Find total cases produced in 180 days: $1,840 \times 180$ .

How many zeros are in the product $(6 \times 5) \times 10^{3}$ ?

Shiola sleeps 479 minutes per night. Calculate her total sleep in 4 weeks: $479 \times 28$ .

How many stamps can Michaela buy with \ $30 if each costs \$0.28? Calculate:$ \frac{30}{0.28}$.

Find and correct the error in Jeffrey's simplification of the expression: $c-2 x$ to $-7.5 x^{8} y^{13}$ .

Find the $y$ -intercept of $f(x)=x^{2}+3x+5$ . Options: (0,-5), (0,-3), (0,3), (0,5).

Create 5 equations where the sum equals 10 (e.g., $10 + 0 = 10$ ).

Which score from the set $10, 20, 30, 40, 50, 60$ has a z score of 0.00? Choices: 10, 20, 30, 35, 50.

Find the density of quartz if its volume is 64 cm³ and mass is 100 g. Round to the nearest tenth: $density = \frac{mass}{volume}$ .

Find the proportion of scores in a $z$ distribution between $z = -1.00$ and $z = 1.00$ . Options: .2500, .6826, .3413, .5000.

Find the proportion of scores in a $\mathrm{z}$ distribution between $\mathrm{z} = -2.00$ and $\mathrm{z} = 0.00$ .

Find the proportion of scores in a $z$ distribution between $z = 0.00$ and $z = 2.00$ . Options: .3413, .4772, .7500, .8176.

Create 5 equations that add up to 8, such as $x_1 + x_2 + x_3 + x_4 + x_5 = 8$ .

Find the proportion of SAT verbal scores between 200 and $800$ using the $z$ distribution. Choices: .3413, .2500, .5000, .9970.

Find the largest $\delta$ for $\lim _{x \rightarrow 2}\left(x^{3}-5 x+5\right)=3$ with $\varepsilon=0.2$ and $\varepsilon=0.1$ . Round to four decimal places.

Find the z score that separates the lower 50% of the z distribution: 0.00, 1.96, $-1.00$ , or $-1.96$ ?

Translate "4 times the sum of 2 and a number" into an expression using $x$ or $y$ .

Translate "the sum of two numbers multiplied by 9" into an algebraic expression using $x$ and $y$ .

Translate "a number multiplied by five" into an algebraic expression using $x$ or $y$ .

Identify a Type II error from these options: rejecting $H_0$ when $H_0$ is false, true, or not rejecting when true/false.

Translate "seven less than a number" into an algebraic expression using $x$ or $y$ .

Translate "the ratio of a number to four" into an algebraic expression using $x$ or $y$ .

Compare the area of a rectangle (7 in by $\frac{3}{4}$ in) and a square (side $2 \frac{1}{2}$ in).

Find the line equation through $(3,-1)$ parallel to $y=-2x-7$ . Show your steps.

Write an algebraic expression for the sum of eight, $y$ , and $x$ without simplifying.

Write an algebraic expression for the total hours in $d$ days plus 13 hours without simplifying.

A triangle has sides in the ratio 3:8:7 and a perimeter of $63 \mathrm{~cm}$ . Find the shortest side.

Express "eight less than a number" and "eight less a number" using the variable $x$ .

Find the scale factor for the ratio $\frac{3 \mathrm{in}}{12 \mathrm{ft}}$ . Options: a. $\frac{1}{4}$ b. $\frac{1}{48}$ c. $\frac{1}{2}$ d. $\frac{1}{3}$

Translate "the product of two numbers multiplied by 8" into an algebraic expression using $x$ or $y^{\prime \prime}$ .

Translate "8 times a number, divided by 10" into an algebraic expression using $x$ or $y$ .

A soccer club has a junior to freshman ratio of $3:2$ and 45 total students. How many juniors are there?

The algebraic expression for the sum of six, $x$ , and $y$ is: $6 + x + y$ .

Translate "5 times the sum of a number and 5" into an algebraic expression using $x$ or $y$ .

What does $\sim$ signify? a. Congruency b. Similarity c. Equal measure d. Almost equal

The expression for the product of twelve, $y$ , and $x$ is $12 \cdot y \cdot x$ .

Sally's triangle has angles $50^{\circ}$ and $60^{\circ}$ ; Tom's has $50^{\circ}$ and $70^{\circ}$ . Are they similar?

Translate "the number of days in $t$ weeks and 4 days" into an algebraic expression using $t$ .

Given $\triangle \mathrm{STV} \sim \triangle \mathrm{WQX}$ , find the missing value in $\frac{S T}{T V}=\frac{W Q}{\square}$ . Choices: a. ST, b. XW, c. VS, d. $Q X$

If $\triangle \mathrm{AFG} \sim \triangle \mathrm{RHT}$ , find $\angle A \cong$ which corresponds to which angle? a. $\angle \mathrm{R}$ b. $\angle \mathrm{H}$ c. $\angle T$ d. $\angle G$

Translate "the product of a number and nine" into an algebraic expression using $\chi$ or $y$ .

The expression is 9 less than the sum of $y$ and $x$ : $y + x - 9$ .

Translate "nine more than a number" into an algebraic expression using $x$ or $y$ .

1. $x - 12$ (twelve less than a number)
2. $12 - x$ (twelve less a number)

Translate "the cost of $x$ textbooks if one textbook costs \ $117" into an algebraic expression using$ x$.

Find the volume in $\mathrm{cm}^3$ of a $9.37 \mathrm{~g}$ metal piece with a density of $4.66 \mathrm{~g/cm}^3$ .

Find the sum of $10.26 \mathrm{~g}$ and $0.063 \mathrm{~g}$ .