WorksheetsExpressions
Total questions: 55
Worksheet time: 2hrs 52mins
Name
Class
Date
1.
What is the coefficient?
-9 + -5x
-9 + -5x
a)
-9
b)
-5
c)
x
2.
Identify the property shown.
a)
Commutative
b)
Associative
c)
Distributive
d)
None
3.
Identify the property shown.
a)
Commutative
b)
Associative
c)
Distributive
d)
None
4.
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
5.
Simplify the expression: 2x + 1 + 7x
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
6.
2(x + 8) + 6x
a)
2x + 8 + 6x
b)
8x + 8
c)
8x +16
7.
Simplify the expression: 7+3(1 - 2x)
a)
21 - 6x
b)
10 - 2x
c)
10 - 20x
d)
10 - 6x
8.
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.
9.
Translate 3f into a verbal description.
a)
3 added to f
b)
3 multiplied by f
c)
3 to the power of f
d)
3 plus f
10.
2 times the sum of y and 5
a)
2 + y + 5
b)
2y + 5
c)
2(y + 5)
d)
2 - y + 5
11.
Factor out the GCF.
5x + 35
5x + 35
a)
5
b)
(x + 7)
c)
5(x + 7)
d)
5(x + 30)
12.
What word phrase can you use to represent "5x + 2"?
a)
five times the sum of a number x and two
b)
two times the sum of a number x and five
c)
a number x times the sum of five and two
d)
the sum of five times a number x and two
13.
(3 ÷ 3) + 3 x (33 - 3)
a)
0
b)
27
c)
73
d)
1
14.
State whether the expressions are equivalent:
13z + 5 + 2z and 5(3z + 1)
13z + 5 + 2z and 5(3z + 1)
a)
YES
b)
NO
15.
25 + x = x + 25
a)
Commutative Property of Addition
b)
Commutative Property of Multiplication
c)
Associative Property of Multiplication
d)
Associative Property of Addition
16.
(19 x 5) x 2 = 19 x (5 x 2)
a)
Associative Property of Multiplication
b)
Commutative Property of Multiplication
c)
Identity Property of Multiplication
d)
Associative Property of Addition
17.
98 + 0 = 98
The sum of any number and zero is itself.
The sum of any number and zero is itself.
a)
Identity Property of Multiplication
b)
Commutative Property of Addition
c)
Associative Property of Addition
d)
Identity Property of Addition
18.
254 x (1) = 254
The product of any number and 1 is always itself.
The product of any number and 1 is always itself.
a)
Commutative Property of Multiplication
b)
Associative Property of Multiplication
c)
Identity Property of Multiplication
d)
Identity Property of Addition
19.
Multiplying a number by a sum or difference gives the same result as multiplying that number by each term in the sum or difference and then adding or subtracting the corresponding products.
a(b+c) = a*b + a*c
a(b-c) = a*b - a*c
a(b+c) = a*b + a*c
a(b-c) = a*b - a*c
a)
Associative Property of Multiplication
b)
Identity property of Mulitiplication
c)
Commutative Property of Multiplication
d)
Distributive Property
20.
evaluate a + 6 when a = 2
a)
2
b)
6
c)
8
d)
12
21.
Simplify the expression: 2x + 1 + 7x
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
22.
evaluate bc + 5a
when a = 3, b = 4, and c = -6
when a = 3, b = 4, and c = -6
a)
9
b)
38
c)
-38
d)
-9
23.
Simplify 5(2 - 7n)
a)
52 - 7n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
24.
2x + 5 + 7x + 13
a)
9x + 18
b)
27x
c)
7x + 20x
25.
10y + 7k - 2y + 3k
a)
17k - y
b)
8y + 10k
c)
12y -10k
26.
2(x + 8) + 6x
a)
2x + 8 + 6x
b)
8x + 8
c)
8x +16
27.
4(m + 5)
a)
4m + 20
b)
4m + 9
28.
Simplify
-3(x+5) + 2(x+5)
a)
-3x - 15
b)
x - 10
c)
5x + 25
d)
-x - 10
29.
Simplify:
3(x+5) -2 (2x - 3)
a)
7x+ 21
b)
x - 21
c)
-x + 21
d)
-x + 9
30.
Factor out the GCF
22x -220
22x -220
a)
2(11x-110)
b)
22(x+10)
c)
22(x -10)
31.
Which one is the coefficient?
6f2 - 9
6f2 - 9
a)
6
b)
f
c)
2
d)
9
32.
Which one is the constant?
5g3 + 2
5g3 + 2
a)
5
b)
g
c)
3
d)
2
33.
Which one is the variable?
3w + 2w - (-7w)
3w + 2w - (-7w)
a)
3
b)
2
c)
w
d)
12
34.
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
35.
What is the GCF of 18 and 24?
a)
3
b)
6
c)
8
d)
9
36.
Which of the following linear expressions cannot be factored?
a)
15x+22
b)
12x - 10
c)
8x - 2
d)
7x + 21
37.
Write words to match the expression:
8 ÷ 2 x (5 + 5)
8 ÷ 2 x (5 + 5)
a)
the product of eight and two times the sum of five and five
b)
the difference of eight and two times the sum of five and five
c)
the quotient of eight and two times the sum of five and five
d)
the sum of eight and two times the sum of five and five
38.
Write words to match the expression:
5 x (9 - 2)
5 x (9 - 2)
a)
five times the difference of nine and two
b)
five times the product of nine and two
c)
five times the sum of nine and two
d)
five times the quotient of nine and two
39.
Write words to match the expression:
(3 + 5) x 7
(3 + 5) x 7
a)
the product of three and five times seven
b)
the difference of three and five times seven
c)
the sum of three and five times seven
d)
the quotient of three and five times seven
40.
Write an expression to match the words:
the difference of sixteen and two divided by seven
the difference of sixteen and two divided by seven
a)
16 + 2 ÷ 7
b)
(16 + 2) ÷ 7
c)
16 - 2 ÷ 7
d)
(16 - 2) ÷ 7
41.
Write an expression to match the words:
the quotient of fifteen and three minus four
the quotient of fifteen and three minus four
a)
15 x 3 - 4
b)
15 + 3 - 4
c)
15 ÷ 3 - 4
d)
15 - 3 - 4
42.
Write an expression to match the words:
two times the difference of five and three
two times the difference of five and three
a)
2 x 5 - 3
b)
2 x (5 -3)
c)
2 x 5 + 3
d)
2 x (5 + 3)
43.
Write an expression to match the words:
the quotient of twenty and two
the quotient of twenty and two
a)
20 x 2
b)
20 + 2
c)
20 - 2
d)
20 ÷ 2
44.
Write an expression to match the words:
the sum of three and eleven
the sum of three and eleven
a)
3 x 11
b)
11 ÷ 3
c)
3 + 11
d)
11 - 3
45.
Write an expression to match the words:
the product of five and nine
the product of five and nine
a)
5 x 9
b)
5 + 9
c)
9 - 5
d)
95
46.
Write an expression to match the words:
the difference of ten and three
the difference of ten and three
a)
10 + 3
b)
10 - 3
c)
10 x 3
d)
10÷3
47.
Factor:
4x + 30y
4x + 30y
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
can't be factored
48.
Factor:
12x - 20
12x - 20
a)
4x(3 - 5)
b)
4(3x - 5)
49.
Factor:
7x + 48y
7x + 48y
a)
7(x + 7y)
b)
7(x + y)
c)
can't be factored
d)
7(x + 48y)
50.
Factor:
12x + 9
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
51.
Factor Completely:
16w + 80m
16w + 80m
a)
2(8w + 10m)
b)
16(w + 5m)
c)
4(4w + 20m)
52.
Factor Completely:
-9u - 81
-9u - 81
a)
9(u + 9)
b)
-9(u - 9)
c)
-9(u + 9)
53.
Factor Completely:
12-4b
12-4b
a)
4(b-12)
b)
4(3-b)
c)
-4(b+2)
54.
Factor Completely:
-3x - 15
-3x - 15
a)
-3 (x+ 5)
b)
3 (x + 5)
c)
-3 (x -5)
55.
Factor Completely:
35c - 15d
35c - 15d
a)
5(7c + 3d)
b)
5(7d - 3c)
c)
5(7c - 3d)
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