Benchmark Review / Study Guide
14) 5 subtracted from a number
Evaluate each expression given that x = 4 , a = -2 and k = 5
15) the difference between 4 times a number and 6
1) x + 3
16) 8 less than 25
2) 18 – k
17) The sum of 14 and 3 is 17.
3) 3a
18) The difference between 20 and 13 is 7.
4) 25
k
19) 17 is the sum of twice a number and 5.
5) 12 – (3k – 10) + 8
Solve for the value of the variable. Show each step on a
separate line
6) x + a + 14
20) The quotient of 24 and 6 is 4.
21) n + 9 = 24
22) c – 9 = -25
23) -10 + x = 14
24) 6y = 90
25) z = 216
12
26) 4x = 96
27) x + 17 = 6
28) 19 – k = 7
7) k(x) -3
8) 4k + a
9) 6x – k
10) x(k)
Write the algebraic expression or equation for each of the
following. Use the variable x for unknown numbers.
29) What is the solution to the number sentence?
x + 14 = -62
11) 12 increased by a number
12) the sum of a number and 8
13) the product of twice a number and 7
A -76
C 76
B -48
D 48
30) What value of m makes the following true?
48 =m
3
33) Todd makes $550 a week at his job. The company gave
Todd a raise and he will receive $634 a week. How much was
Todd's raise?
F 16
H -16
F $16
H $588
G -144
J 144
G $1,184
J $84
34) There are 24 students in Mrs. Black's class. If the
students need to be put into 4 equal groups, how many
students will be in each group?
A 96
C4
31)
A8
C2
B 20
D6
B6
D4
32)
35) Nicholas is 7 years older than Travis. If Nicholas is 10
years old, what is Travis' age?
A4
C 17
Which is the solution to the equation represented in the
model?
A -8
B -6
C -2
D -10
B 20
D3
36) Ryan wants to buy a computer. He has saved $350. The
computer costs $1479. Which equation shows how you can
solve this problem to find out how much more Ryan needs?
F x – 350 = 1479
H 350 + x = 1479
G 1479 + x = 350
J 1479 + 350 = x
37) What is the first step when solving the equation
b - 4 = 10?
41) Which value of t makes the following true?
-16 + t < -32
A Multiply 10 by 4 and multiply -4 by 4
B Divide 10 by -4 and divide -4 by 4
C Subtract 4 from -4 and subtract 4 from 10
D Add 4 to -4 and add 4 to 10
38) Which could be used to find the number y ?
Six more than a number, y , is equal to eight.
F6+8=y
Hy+6=8
B -17
D 17
42)
G 6y = 8
J6-y=8
39) John called a plumber to fix a leak in his bathroom. The
plumber charged $30 to come to the house and $25 an hour
while fixing the leak. If the final bill was $105, how many
hours was the plumber at John's house?
A7
C5
A -15
C -16
A. x > 2
C. x > 8
B. x < -2
D. x < -8
B3
D4
43) What is a value of d that makes the following true?
40) What value of d makes the following true?
48 = 12d
A4
B .4
C6
D 1
4
-15 + d > -12
A 2
C 4
B -2
D -4
Solve each inequality and graph its solution.
48)
44) n + 7 < 3
Which sequence has a common difference of -9?
45) 6 + b < -2
46)
-1 > p + 5
A Sequence 3
C Sequence 4
49) Look at the following variable expression.
x-9
Which sequence is described by the given variable
expression?
A 4, 13, 22, 31, 40, ...
C 27, 18, -9, 0, 9, ...
47)
B Sequence 1
D Sequence 2
B 22, 13, 5, -4, -13, ...
D 18, 9, 0, -9, -18, ...
8x > 168
50) Which sequence has a common ratio of 6?
F 23, 29, 35, 41, ...
H 2, 12, 72, 432, ...
G 3, -18, 108, -648, ...
J 432, 72, 12, 2, ...
51) Look at the following sequence.
80, 40, 20, 10, 5, ...
Which variable expression describes the relationship
between the terms in the sequence?
A 2n
C n + 10
54) A submarine moves 60 feet below the surface of the
ocean. It rises 43 feet and dives further into the water 20
feet. It finally rises 15 feet. The final location of the
submarine is —
Bn-5
D n
2
52) Ginni wrote the following geometric sequence in her
notebook.
3, 9, 27, 81, 243, 729, . . .
What would be the 8th term in Ginni’s sequence?
A 5,832
C 1,458
B 6,561
D 2,187
53) Tracy is going to create a sequence with a common
difference of 4. She wants to ensure that the number 23 is
included in her sequence. Which number could she choose to
begin her sequence with?
56) Which number sentence illustrates the associative
property of addition?
F 10
H 11
F
G
H
J
G9
J 12
7(5 + 3) = 35 + 21
7 + (-7) = 0
(7 + 5) + 3 = 7 + (5 + 3)
7+5=5+7
57) Kayla shows her work when simplifying an expression.
Step 1:
Step 2:
Step 3:
Step 4:
60) Which is a true statement?
6 + (4 • 3) • 1 + 0
6 + 12 • 1 + 0
6 + 12 + 0
18 + 0
18
Which property was applied to result in step 2?
F Multiplicative identity property
G Additive inverse property
H Multiplicative inverse property
J Additive identity property
58) Enrique researched the planet Mars and found that
Mars orbits at 426,000,000 miles from our sun. How can
Enrique rewrite this distance (scientific notation) for his
research paper?
59) Katie, Hannah and Chris were measured in gym class.
Katie was 65 ¾ inches. Hannah was 65 7/8 inches. Chris was
65 1/2 inches. Who was the tallest?
F
G
H
J
Katie
Hannah
Chris
All were the same height
61) Which of the following shows the numbers listed from
least to greatest?
62) Which is a square root of 256?
F 90.25
G 722
H 180.5
J 16
63) What is the value of:
232 ?