Name: _______________________________________________________ Date: _________________
Spring Benchmark Review
Solve each equation for x. Show all steps clearly. Then, solve the review problems. Each review answer
should match one of the equation answers. Write the matching review problem letter in the box.
1) 5x – 3 = 18x -5
2) 36x – 72 = 34x + 60
Matching problems:
Matching problems:
3) 6x + 5 = 5x + 13
4) -8x + 15 = 16x + 13
Matching problems:
Matching problems:
5) 12x – 129 = 8x + 159
Matching problems:
A) Merideth has test scores of 86, 63, 89, and 50 so far this marking period. There is one more test in the
marking period. She wants to end the marking period with a 72 test average. What is the lowest grade she
can get on the next test to have a 72 test average?
Show your “let” statement, equation, and all steps clearly.
B) April travels 5 miles in 1 hour. What is her rate in miles per minute?
C) What is the interquartile range of the following dataset?
63, 64, 68, 70, 71, 73, 75, 78
D) There are 4 blue pens, 3 red pens, and 7 black pens in a drawer. You select one pen at a time without
replacement. What is the probability of selecting a blue then a black pen?
E) What is the median of the following dataset?
48, 83, 64, 23, 80, 91
F) Lines l and m are parallel. Find the value of x. Show your equation and step work clearly.
G) What is the constant of proportionality represented by the table below?
X
39
52
65
Y
6
8
10
H) There are 2 plastic bracelets, 4 string bracelets, and 3 gold bracelets in a box. You select
one at a time without replacement. What is the probability that you will choose 2 gold
bracelets?
I) What is the surface are of the prism shown below?
J) The two triangles below are similar. Set-up and solve a proportion to find the value of x.
8 cm
4.8 cm
6 cm
K) You roll a regular die and flip a penny. What is the probability that you will roll a 4 and the
penny will land with the heads side up?
L) What is the volume of the prism below?
M) Find the value of x in the polygon below. Show the equation, steps, and answer clearly.
N) The triangles below are similar. Set-up and solve a proportion to find the value of x.