Pre-Algebra, Unit 02B Practice Test: Multi-Step Equations

Name:

Date:

1.  Define solution of an inequality.

Pre-Algebra Practice Test Unit 02B: Multi-Step Equations Page 1 of 4

Revised 2014 - NVACS

2.  (SE) Which of the following would be the best choice for the first step in solving for x in the equation below?

A. / add 8 to both sides of the equation
B. / subtract 8 from both sides of the equation
C. / multiply both sides of the equation by 2
D. / divide both sides of the equation by

3.  (SE) What is the value of x that satisfies the equation ?

A. /
B. /
C. / 8
D. / 12

Pre-Algebra Practice Test Unit 02B: Multi-Step Equations Page 1 of 4

Revised 2014 - NVACS

Pre-Algebra Practice Test Unit 02B: Multi-Step Equations Page 1 of 4

Revised 2014 - NVACS

4.  (SE) Five less than twice a number is fifty-three. What is the number?

A. /
B. /
C. / 24
D. / 29

5.  (SE) What is the solution to the equation below?

A. / 3
B. /
C. /
D. /

Pre-Algebra Practice Test Unit 02B: Multi-Step Equations Page 1 of 4

Revised 2014 - NVACS

6.  (SE) What value of x makes the equation below true?

A. /
B. /
C. / 2
D. / 4

7.  (SBAC) Three students solved the equation in different ways, but each student arrived at the correct answer. Circle all of the solutions that show a correct method for solving the equation.

8.  Solve . Show your work.

9.  (SE) A music website sold 68 single songs and 40 albums today. The number of single downloads has been increasing by 12 each day. The number of album downloads has been decreasing by 2 each day. If these trends continue, in how many days will the numbers of single downloads be five times the number of album downloads? Show your work.

A.  28 days

B.  18 days

C.  6 days

D.  2 days

10.  (SE) The cost of renting a car is $65 per day plus $0.25 per mile. Another rental agency charges $80 per day, but only $0.20 per mile. How many miles would you have to drive to make the total cost of renting the car the same at both companies? Show your work.

A. / 100 miles
B. / 290 miles
C. / 300 miles
D. / 325 miles

11.  (SBAC) For each linear equation in this table, indicate whether the equation has no solution, one solution, or infinitely many solutions by placing a ü in the appropriate column. Show your work below the chart.

Equation / No
Solution / One
Solution / Infinitely
Many
Solutions

Work:

12.  (SE) Choose the best values for P and Q so that the equation will have no solutions.

A.  P = 3 and Q = –1

B.  P = 3 and Q = 1

C.  P = 2 and Q = –1

D.  P = 2 and Q = 1

Course Costs
Course / Annual Fee / Fee for 1 Round
M / $600 / $20
Q / $450 / $25

13.  (SE) The table shows the annual fee at two golf courses and the fee each time a member plays a round of golf.

A.  Write and solve an equation to determine the number of rounds of golf for which the total cost for 1 year at Course M is equal to Course Q. Show your work.

B.  You are able to play an average of 2 rounds of golf per month. For the year, which course would be the most economical to play? Explain your thinking.

Long term memory review:

14.  Simplify the expression

15.  You are given ; what is the value of a when the value of b is 14?

A. / 11.7
B. / 9.8
C. / 8.9
D. / 7.9

Pre-Algebra Practice Test Unit 02B: Multi-Step Equations Page 1 of 4

Revised 2014 - NVACS