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WorksheetsUnit 3 Review
Total questions: 45
Worksheet time: 1hrs 11mins
Name
Class
Date
1.
Which of the following represents twice the difference of a number and 7?
a)
2x - 7
b)
2(x - 7)
c)
2x + 7
d)
2(x + 7)
2.
three times the quantity x minus 5
a)
3x - 5
b)
3(x - 5)
c)
5 - 3x
d)
5(x - 3)
3.
Which is an algebraic expression for "six less than k".
a)
6/k
b)
k/6
c)
6 - k
d)
k - 6
4.
The quantity 3 plus r times the quantity r minus 7
a)
3 + r(r - 7)
b)
3r(r - 7)
c)
(3 + r)(7 - r)
d)
(3 + r)(r - 7)
5.
Identify the property shown.
a)
Commutative
b)
Associative
c)
Distributive
d)
None
6.
Identify the property shown.
a)
Commutative
b)
Associative
c)
Distributive
d)
None
7.
How many terms are in the expression below:
3x - 6 + 4b + 5 + 7 - 2x
3x - 6 + 4b + 5 + 7 - 2x
a)
five
b)
eight
c)
six
d)
nine
8.
Simplify the expression: 2x + 1 + 7x
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
9.
2(x + 8) + 6x
a)
2x + 8 + 6x
b)
8x + 8
c)
8x +16
10.
Simplify the expression: 7+3(1 - 2x)
a)
21 - 6x
b)
10 - 2x
c)
10 - 20x
d)
10 - 6x
11.
Which explanation best explains why
10 + (25 – 8) is a numerical expression?
10 + (25 – 8) is a numerical expression?
a)
It has two operations.
b)
It has more than one number.
c)
It lacks a variable.
d)
It has a parenthesis.
12.
2 times the sum of y and 5
a)
2 + y + 5
b)
2y + 5
c)
2(y + 5)
d)
2 - y + 5
13.
State whether the expressions are equivalent:
13z + 5 + 2z and 5(3z + 1)
13z + 5 + 2z and 5(3z + 1)
a)
YES
b)
NO
14.
Use the distributive property and combine the like terms to create an equivalent expression of:
4(3m + 5) + 5
4(3m + 5) + 5
a)
12m + 25
b)
12m + 40
c)
3m + 40
d)
3m + 25
15.
Write an algebraic expression for:
6 minus a number
6 minus a number
a)
n - 6
b)
6 - n
c)
6n
d)
6 + n
16.
Write an algebraic expression for:
2 less than the sum of 10 and a number
2 less than the sum of 10 and a number
a)
10n -2
b)
10 + n - 2
c)
2 - 10 + n
d)
2 - 10n
17.
Simplify:
2x + 6x2 + 4y + 3 + 4x2 + 2 - 4x
2x + 6x2 + 4y + 3 + 4x2 + 2 - 4x
a)
10x2 + -2x + 4y + 5
b)
8x2 + 4y + 5
c)
2x2 + 6x + 5
d)
10x2 + -6x + 5
18.
Simplify:
3(2x - 4) + 3 - 2x
3(2x - 4) + 3 - 2x
a)
4x + -9
b)
-4x + 9
c)
-4x + -9
d)
4x + 9
19.
What is the exponent form for
6?
6?
a)
60
b)
61
20.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
21.
Which number is the EXPONENT?
42 = 16
42 = 16
a)
4
b)
2
c)
16
22.
Which is GREATER?
27 or 72
27 or 72
a)
27
b)
72
c)
Neither, they are equal
23.
How do you correctly say 43
a)
4 squared
b)
3 quadrupled
c)
4 cubed
d)
4 to the power of 2
24.
What special word do you use for the exponent of 2?
a)
squared
b)
cubed
c)
triangled
d)
boxed
25.
Find the value (standard form) of the power.
33
33
a)
9
b)
6
c)
27
d)
12
26.
Which is greater, 26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
27.
Which property is represented?
3 + (15 + 4) = (3 + 15) + 4
3 + (15 + 4) = (3 + 15) + 4
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
28.
Which property is represented?
7(t + u) = 7t + 7u
7(t + u) = 7t + 7u
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
29.
6*7=7* 6 is an example of which property?
a)
Associative Property of Multiplication
b)
Commutative Property of Addition
c)
Commutative Property of Multiplication
d)
Associative Property of Addition
30.
Choose the correct algebraic expression to represent the perimeter of the pentagon.
a)
x5-2
b)
5x-2
c)
x-10
d)
5x-6
31.
Simplify the following expression:
4x + 3t - 2x- 4
4x + 3t - 2x- 4
a)
2x + 3t - 4
b)
-2x + 3t - 4
c)
4x + 7t
d)
4x - t
32.
Choose the correct algebraic expression to represent the perimeter of the rectangle.
a)
5x+3
b)
10x+6
c)
10x2+6
d)
8x+6
33.
Choose the correct algebraic expression to represent the perimeter of the rectangle.
a)
10x-4
b)
25x-20
c)
20x-8
d)
10x-8
34.
Which expression can be used to find the perimeter?
a)
6x + 3
b)
2x + 4
c)
4x + 8
d)
4x + 4
35.
Choose the correct algebraic expression to represent the perimeter of the triangle.
a)
3x+12
b)
x+12
c)
12x
d)
15x
36.
evaluate ab + 5c
when a = 3, b = 4, and c = 2
when a = 3, b = 4, and c = 2
a)
9
b)
17
c)
86
d)
22
37.
What would be my first step in solving this problem?
3 + 4 ∗ 6 - 4
3 + 4 ∗ 6 - 4
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
38.
the difference if 3 times a number and 7
a)
3 - 7n
b)
3n - 7
c)
3n + 7
d)
3 / 7n
39.
Evaluate x/y + xy if x = 21 and y = 3?
a)
63
b)
65
c)
67
d)
70
40.
If b = 4 and c = 5, what is the value of bc + b - c?
a)
20
b)
16
c)
18
d)
19
41.
Evaluate the expression. Let c = 3 d = 2
3c + 7d
3c + 7d
a)
27
b)
21
c)
29
d)
23
42.
Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4
4h + 2g + 4
a)
42
b)
46
c)
34
d)
58
43.
Solve using order of operations:
36 - 2(5-3) + 12 x 2
36 - 2(5-3) + 12 x 2
a)
54
b)
88
c)
56
d)
64
44.
4+u2 ÷v (u = 7, v = 1)
a)
51
b)
53
c)
49
d)
5
45.
Simplify the following:
(2 + 7 - 1) ÷ 22
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
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