Algebra 1, Semester A Review

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Simplify the expression.

4(-8x + 5) – (-33x – 26) = .....

What is the value of this expression when a = 7 and b = -4?

 $\frac{\left|2a\right|-b}{3}$  

• -6

•  $-3\frac{1}{3}$  

•  $3\frac{1}{3}$  

• 6

What is the value of this expression when w = -5?

w² + 3w − 11

• A. -51

• B. -36

• C. -16

• D. -1

Consider the expression below.

9 + 4(x + 2) – 3x

Select the term that best describes "3" in the given expression.

• A. variable

• B. exponent

• C. constant

• D. coefficient

Simplify:

6 ÷ 3 + 3² · 4 − 2

• A. 98

• B. 36

• C. 22

• D. 42

Keaton drew an equilateral triangle on the computer. If the perimeter of the triangle is 29.4 centimeters, the length of a side of the triangle is ... centimeters.

Shannon manages a crew of painters. A homeowner paid the crew $560 to paint a garage. Shannon received $164 of the money, and she shared the rest equally among the other three members of her crew. How much money did each of the three crew members receive for the job?

• A. $100

• B. $112

• C. $120

• D. $132

What value of n makes the equation true?

 $-\frac{1}{5}n+7=2$  
n = ?

The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?

• A. The equation that represents this situation is x − 3 = 21. The second number is 24.

• B. The equation that represents this situation is 3x = 21. The second number is 7.

• C. The equation that represents this situation is -3x = 21. The second number is -7.

• D. The equation that represents this situation is -3 + x = 21. The second number is 18.

Which property of equality was used to solve this equation?

 $-5x=4$  
 $\frac{-5x}{-5}=\frac{4}{-5}$  
 $x=\frac{4}{5}$  

• A. addition property of equality

• B. subtraction property of equality

• C. multiplication property of equality

• D. division property of equality