Free Printable Algebra I Fall Semester Test Review 25/26

1.

What is the reason for this step in the solution of the equation $2x - 1 = 4(x + 1)$ : from $2x - 1 = 4(x + 1)$ to $2x - 1 = 4x + 4$ ?

a)

Apply the distributive property

b)

Add the same number to both sides

c)

Subtract the same expression from both sides

d)

Multiply or divide both sides by the same nonzero number

e)

Combine like terms on a side

2.

Debra started a babysitting business. She purchased toys, snacks, and other supplies. She charged an hourly rate for each child. The expression $-145 + 6y$ represents the profit Debra has earned from her babysitting business. Which expression represents the total amount Debra earns from babysitting?

a)

$-145$

b)

$6$

c)

$y$

d)

$6y$

3.

Gwen is filling a pool. She wonders how fast the water is flowing into the pool. Which unit rates would be reasonable for Gwen to use to describe how fast the pool is filling with water? Select each correct answer.

a)

liters per hour

b)

gallons per hour

c)

cubic centimeters per minute

d)

cubic inches per second

4.

Calculator. Tony ran laps around a track to raise money for a hospital. Tony raised 15 $plus$ \ $1.50$ per lap that he ran. He raised a total of 255$. Let x represent the number of laps Tony ran. What expression completes the equation to determine the total number of laps Tony ran?

a)

$15 + 1.5x$

b)

$15x + 1.5$

c)

$255x$

d)

$15 + 255x$

5.

Calculator. Beth swam laps to raise money for a charity. Beth raised 15 $plus$ \ $0.65$ per lap that she swam. She raised a total of 80$. Let x represent the number of laps Beth swam. What expression completes the equation to determine the total number of laps Beth swam?

a)

$15 + 0.65x$

b)

$15x + 0.65$

c)

$80x$

d)

$0.65 + 15x$

6.

What is the justification for the step from 2x + 1 ≤ 3(x + 1)/2 to 4x + 2 ≤ 3(x + 1) in solving the inequality?

a)

Multiplication or Division Property of Order

b)

Addition or Subtraction Property of Order

c)

Distributive Property

7.

A phone service offers a data plan with a $25 monthly fee and charges$ 10 per gigabyte download. How many gigabytes can a customer download and spend at most $75? Which linear inequality with variable x represents this situation?

a)

$25 + 10x ≤ 75$

b)

$25 + 10x ≥ 75$

c)

$10 + 25x ≤ 75$

d)

$10 + 25x ≥ 75$

8.

Solve for x. $-3(x - 5) - 2x = -10$ Select the correct value of x.

a)

$-5$

b)

$5$

c)

$0$

d)

$-1$

9.

Solve for x. $-2(x - 3) - 2x = 18$ Select the correct value of x.

a)

$-3$

b)

$3$

c)

$7$

d)

$6$

10.

What is the coefficient in the expression $\frac{2x}{7} + 2$ ? Select the correct coefficient.

a)

$\tfrac{2}{7}$

b)

$\tfrac{7}{2}$

c)

$2$

d)

$\tfrac{1}{7}$

11.

Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per minute. Malory leaves her house at 12:20 p.m. and walks at 90 steps per minute. At what time will Malory's steps catch up to Dori's steps?

a)

12:35 p.m.

b)

12:45 p.m.

c)

1:00 p.m.

d)

1:15 p.m.

12.

Solve for x. $x - \frac{1}{4} = \frac{3}{8}$ . Enter your simplified answer in the box.

a)

$\frac{5}{8}$

b)

$\frac{1}{2}$

c)

$\frac{3}{8}$

d)

$\frac{7}{8}$

13.

What would be an appropriate measure to describe the depth of a lake?

a)

milliliters

b)

cubic centimeters

c)

feet

d)

miles

14.

Which graph represents the equation $y=\tfrac{1}{3}x-4$ ?

a)

A line with slope $\tfrac{1}{3}$ and $y$ -intercept $-4$

b)

A line with slope $-\tfrac{1}{3}$ and $y$ -intercept $4$

c)

A line with slope $3$ and $y$ -intercept $-4$

d)

A line with slope $\tfrac{1}{3}$ and $y$ -intercept $4$

15.

Enter the solution to the inequality in the box. Select the correct solution to $7-3(x+5)+8x\le 17$ .

a)

$x\le 5$

b)

$x\ge 5$

c)

$x\le -5$

d)

$x\ge -5$

16.

Harry mowed eight lawns and earned $96. How much did he earn for each lawn?

a)

$96

b)

$12

c)

$768

d)

$8

17.

a)

$4 per hour

b)

$5/hour

c)

$20 per hour

d)

$80/hr

18.

Solve for x.

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

19.

Solve the following inequality. Show your algebraic work!

a)

b > 6

b)

b < -4

c)

b > 1

d)

b < -12

20.

Solve the following inequality. Show your algebraic work!

a)

b > 6

b)

b < -4

c)

b > 1

d)

b < -12

21.

a)

y = 3x + 3/2

b)

y = -3x - 5

c)

y = 3x - 5

d)

y = 2x - 5

22.

The graph of which function is shown here

a)

y = -3x-5

b)

y = 5x+3

c)

y = -5x-3

d)

y = 3x - 5

Algebra I Fall Semester Test Review 25/26

Total questions: 22

Worksheet time: 2hrs 50mins

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