wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Math 6 December Benchmark Review

Total questions: 58

Worksheet time: 2hrs 27mins

Name
Class
Date
1.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
2.
Any number written to the 0 power is always 1
Example: 80=1
a)
True
b)
False
3.
In the exponent 34, the three represents____________ ?
a)
power
b)
base
c)
exponent
d)
integers
4.
25 is the same as 2 x 5.
a)
True
b)
False
5.
106 =
a)
10 x 10 x 10
b)
10 x 10 x 10 x 10
c)
10 x 10 x 10 x 10 x 10 x 10
d)
10 x 10 x 10 x 10 x 10 x 10 x 10
6.
100
a)
0
b)
1
c)
10
d)
100
7.

What is the square root of 144?

a)

4

b)

12

c)

16

d)

32

8.
What do we call √ ?
a)
radicand
b)
radical symbol
c)
cube root
d)
index
9.
All the following are Perfect Squares except for which one?
a)
81
b)
121
c)
361
d)
198
10.

Express an integer: a withdrawal of $100

a)

100

b)

-100

11.
Express an integer: a debt of $50
a)
50
b)
-50
12.
Express as an integer:  at sea level
a)
0
b)
-0
c)
1
d)
-10
13.
Compare: -12 ____ -2
a)
-12 < -2
b)
-12 > -2
c)
-12 = -2
14.
Order from least to greatest:  -5, -17, 3, 0 
a)
3, 0, -5, -17
b)
3, 0, -17, -5
c)
-17, -5, 0, 3
d)
-5, -17, 0, 3
15.

What is the mathematical statement -21 < 0 translated into word form?

a)

Negative twenty-one is less than zero.

b)

Zero is less than negative twenty-one.

c)

Negative twenty-one is greater than zero.

d)

None of the above

16.

Which situation CANNOT be represented by the integer -10?

a)

an elevation of 10 feet below sea level

b)

a temperature increase of 10°F

c)

a golf score of 10 under par

d)

a bank withdrawal of $10

17.
Alaska is -3 degrees, Iowa is 5 degrees, Idaho is -7 degrees, New York is 9 degrees, and Maine is -1. Which state has the coldest temperature?
a)
Alaska
b)
Iowa
c)
Maine
d)
Idaho
18.
What is the integer represented by "B" on the number line?
a)
-2
b)
0
c)
3
d)
4
19.
 -2 - (-8)
a)
6
b)
-6
c)
-10
d)
10
20.
-7 x 4
a)
24
b)
28
c)
-28
d)
-24
21.
50 ÷ -10
a)
-5
b)
5
c)
40
d)
-40
22.
44/-4=
a)
11
b)
-8
c)
-11
d)
-1/11
23.
(-9)(-8)
a)
-72
b)
72
24.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
25.
When I subtract two integers, I can use a strategy called...
a)
Keep, Change, Change
b)
Multiply by the reciprocal
c)
The Church Method
d)
GEMDAS
26.
When multiplying or dividing a NEGATIVE number by another NEGATIVE number,  your result will be...
a)
Negative
b)
Positive
c)
 The sign of the larger looking number
d)
The sign of the smaller looking number
27.
Write an equation models the following statement:
 17 less than h equals 42
a)
17-h=42
b)
h-17=42
c)
h+17=42
d)
17+h=42
28.
Solve the following equation
X + 8 = 15
a)
23
b)
-7
c)
7
d)
-23
29.
Solve the following equation 
8 = m - 12
a)
4
b)
0.5
c)
5.0
d)
20
30.
Solve the following equation
2y = 18
a)
36
b)
16
c)
9
d)
20
31.
Solve the following equation
c / 4 = 4
a)
1/4
b)
8
c)
1
d)
16
32.
In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 
a)
Subtract 7 from both sides. The solution is x = 5.
b)
Add 7 to both sides.
The solution is x = 19.
c)
Multiply both sides by 7 The solution is x = 84.
33.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
34.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

35.
Which graph matches the inequality
2 > p?
a)
A
b)
B
c)
C
d)
D
36.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
37.
In an equation or inequality, you want to get the variable...
a)
on one side
b)
to disappear
c)
isolated (by itself)
38.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
39.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
40.

Solve the inequality.

30 + n ≥ 50

a)

n > 50

b)

n ≥ 80

c)

n < 30

d)

n ≥ 20

41.
Is x = 9 a solution to the given inequality.
x > 9
a)
TRUE
b)
FALSE
42.
What is the first step in solving this problem:
-2 ⋅ (3 + 8 ÷ 4)2
a)
multiplication
b)
addition
c)
division
d)
subtraction
43.
What would be the second step in this problem? (3 + 4) 9 + 3 =
a)
parenthesis
b)
multiplication
c)
addition
d)
exponent
44.
What words can you use to help you solve simple expressions and equations?
a)
Please Excuse My Unlce Henriy
b)
Please Excuse My Dear Aunt Sally
c)
Does McDonalds Sell Cheese Burgers
d)
QPRS
45.
32+42-(4x2)
a)
14
b)
9
c)
9
d)
17
46.
2 × 33 + 7
a)
91
b)
61
c)
235
d)
77
47.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False
48.
Evaluate the expression.
a)
15
b)
11
c)
-15
d)
-11
49.
Evaluate the expression.
a)
3
b)
6
c)
-18
d)
-21
50.
2x + y = 1
a)
coeffiecient
b)
term
c)
variable
d)
constant
51.
5x - 10
a)
coefficient 
b)
terms
c)
variables
d)
constant
52.
3y + 5
a)
term 
b)
variable 
c)
coefficient
d)
constant
53.
How many terms in the following expression:
5x + 3y - 15 + x
a)
1
b)
2
c)
3
d)
4
54.
a symbol for an unknown value
a)
term
b)
operator
c)
variable
d)
coefficient
55.
What is it?
8y
a)
Expression
b)
Equation
56.
Which of the following is an example of an equation?
a)
8 + 2x - 4
b)
7k - 2 
c)
y + 2 = 10
d)
y + 2
57.
An equation has an ________ sign and an expression does not.
a)
an addition sign
b)
a subtraction sign
c)
an equal sign 
d)
a division sign
58.
Name the coefficient in the following equation.
8 = 2y + 3
a)
y
b)
2
c)
3
d)
8