Algebra 1: Unit One Study Guide

Identify each value for x that will satisfy the inequality -7x + 9 < 44.

• -19

• -10

• -5

• -1

• 6

What is the solution to the inequality

-4 + 8x < -20

• x < -3

• x > -3

• x < -2

• x < 2

What is the solution to the inequality 6r + 6 < 54

• r < -8

• r > -8

• r < 8

• r > 8

Find the value of y that makes the equation true:

0.2(3y-5) = 0.15(2y+3) - 0.85

[WRITE ONLY THE NUMERICAL ANSWER]

Sam is ordering a custom t-shirt for his brother’s birthday. The t-shirt costs $12.50 and each letter costs an

additional $0.50. If Sam can spend up to $20, how many letters can he have printed on his brother’s shirt?

Which inequality can be used to determine the number of letters he can purchase?

• 12.50 + 0.50x ≤ 20

• 0.50x ≤ 20

• 12.50 + 0.50x ≥ 20

• 20 + 0.50x ≤ 12.50

A cab company charges a flat fee of $2.00, plus $0.75 per mile. Which inequality can be used to determine

the maximum number of miles a person can go for $35.00?

• 2 + 0.75x ≥ 35

• 0.75x ≤ 35

• 2 + 0.75x ≤ 35

• 35 + 0.75 ≥ 2

If 12x - 4y = 20, then y=

[don't use any spaces]

A student's work is shown in solving the equation for the variable b. Within which step does the student incorrectly perform an operation in order to solve for the variable b?

• Step 1
  

• Step 2

• Step 3

• Step 4

What is the solution for m in the following equation?

8m – 4n = -14

• $m=8\left(-14+4n\right)$

• $m=-\frac{7}{4}+4n$

• $m=-\frac{7}{4}-\frac{n}{2}$

• $m=-\frac{7}{4}+\frac{n}{2}$

A student is solving the equation 5(a − 5) = 10a for a. He used the division property of equality in the first

step to solve the equation. What equation would he have gotten in the first step?

• (a − 5)= 2a

• (a − 5) = a

• 5(a − 5) = 2a

• 5(a − 5) = a