WorksheetsSIMPLIFYING EXPRESSIONS
Total questions: 50
Worksheet time: 2hrs 12mins
Name
Class
Date
1.
Simplify 5(2 - 7n)
a)
52 - 57n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
2.
Simplify 6(x + -2)
a)
6x + -2
b)
6x + -12
c)
4x
d)
6x - 2
3.
Simplify the expression:
6 + 2(7x - 3)
6 + 2(7x - 3)
a)
12 + 7x
b)
14x
c)
14x + 3
d)
9 + 7x
4.
Simplify the expression: 7+3(1 - 2x)
a)
21 - 6x
b)
10 - 2x
c)
10 - 20x
d)
10 - 6x
5.
-12n - (-13n)
a)
-25n
b)
25n
c)
n
d)
-n
6.
6w - 6w + 6w + 9w
a)
w
b)
15w
c)
9w
d)
6w
7.
3 - 2a + 3a + 5a
a)
5a+3
b)
5a-3
c)
6a + 3
d)
8a+3
8.
4a + 9 + a
a)
5a + 9
b)
14a
c)
3a + 9
d)
5a - 9
9.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
10.
w + w + w could be simplified as?
a)
3w
b)
3
c)
w
d)
0
11.
Simplify the Expression.
9z - 21 - 3z + 10
9z - 21 - 3z + 10
a)
Simplified
b)
9z - 21 - 7
c)
9z - 11 -3z
d)
6z - 11
12.
What is the simplified form of this expression
3x+4+5x+3
3x+4+5x+3
a)
15x
b)
8x+7
c)
7x+8
13.
What is the simplified form of this expression
3x+4+5x+3
3x+4+5x+3
a)
15x
b)
8x+7
c)
7x+8
14.
Simplify:6b + 7b - 10
a)
3b
b)
13b - 10
c)
13b2 - 10
d)
3b2
15.
Add these expressions
(x+5) + (2x+10)
(x+5) + (2x+10)
a)
3x+15
b)
x-5
c)
18x
16.
Simplify:
5x - 6x - 8x + 7
5x - 6x - 8x + 7
a)
-9x + 7
b)
-9x - 7
c)
9x + 7
d)
9x - 7
17.
-4(-4d - 5)
a)
16d+20
b)
-16d+20
c)
16d-20
d)
-16d-20
18.
Simplify the expression: 3(1 - 2x) + 7
a)
21 - 6x
b)
24 + 6x
c)
10 + 6x
d)
10 - 6x
19.
3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
20.
4(-p - 6)
a)
4p - 24
b)
4p + 24
c)
-4p + 24
d)
-4p - 24
21.
Simplify the following expression:
3 + 5x + 8 - 2x
3 + 5x + 8 - 2x
a)
7x - 11
b)
7x + 11
c)
-3x + 11
d)
3x + 11
22.
Simplify the following expression:
-7x - 9x
-7x - 9x
a)
-2x
b)
2x
c)
-16x
d)
16x
23.
Simplify the following expression:
-8x + 4x
-8x + 4x
a)
-12x
b)
-4x
c)
4x
d)
12x
24.
Simplify the following expression:
-9(14p - 8) - 4p
-9(14p - 8) - 4p
a)
130p - 72
b)
122p - 72
c)
-130p - 18
d)
-130p + 72
25.
5 - 3(5x - 4)
a)
15x + 7
b)
-15x + 17
c)
15x - 7
d)
-15x - 17
26.
Simplify:
-1x + y - z + 10z + 2x - 10y
-1x + y - z + 10z + 2x - 10y
a)
1x - 9y + 9z
b)
1x - 9z - 9y
c)
-1x - 9z - 9y
d)
-1x - 9 - 9y
27.
Write an algebraic expression for the following.
Divide m by 7, and then subtract 4 from the quotient.
Divide m by 7, and then subtract 4 from the quotient.
a)
1/4m -7
b)
(m/7) - 4
c)
m-7 + 4
d)
7m + 4
28.
Write the phrase as an expression.
twice a number x plus 8
twice a number x plus 8
a)
2 + 8x
b)
2x + 8
c)
2(x+8)
d)
8(2+x)
29.
half of a number, c
a)
c - 2
b)
½ ÷ c
c)
½c
d)
c + ½
30.
triple the sum of x and 5
a)
3 + x + 5
b)
3 ∙ x + 5
c)
3(x + 5)
d)
(3x) + 5
31.
What is 5 less than the product of 6 and s?
a)
6s - 5
b)
5 - 6s
c)
5 + 6 - s
d)
6 - s -5
32.
a number cubed plus 8
a)
n ∙ 4 + 8
b)
n2 + 8
c)
n3 + 8
d)
n + n + n + 8
33.
triple the sum of x and 5
a)
3 + x + 5
b)
3 ∙ x + 5
c)
3(x + 5)
d)
(3x) + 5
34.
a number split equally by 7
a)
7 ÷ n
b)
7n
c)
n - 7
d)
n ÷ 7
35.
14 less than the quantity k times 6
a)
6 - 14k
b)
6k - 14
c)
14k - 6
d)
14 - 6k
36.
m plus the product of 6 and n
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n
37.
Beth is 6 years younger than twice her brother's age. How old is Beth?
a)
6 - 2b
b)
2b - 6
c)
1/2b + 6
d)
b + 6
38.
Spot fetched 12 sticks and some rocks when he played outside. How many objects did he fetch in all?
a)
12 - r
b)
12/r
c)
12 + r
d)
12r
39.
If Alex feeds his turtle the same amount of food twice a day, how much food will he feed the turtle in a week?
a)
2t*7
b)
2t - 7
c)
7 + 2t
d)
1/2t*7
40.
z - 7
a)
seven times as many
b)
seven inches ahead
c)
seven inches behind
41.
z + 1
a)
one more than
b)
half the distance
c)
1 inch shorter
d)
two inches behind
42.
z - 4
a)
4 inches ahead
b)
4 less than z
c)
4 times as many
d)
one-fourth the size
43.
2z
a)
twice as far
b)
2 less than
c)
2 more than
d)
divide into 2 groups
44.
Ken is thinking of a number. Nine more than the product of 4 and the number is 73. What is the equation?
a)
4 + 9x = 73
b)
4x = 73
c)
4x + 9 = 73
d)
9x + 4 = 73
45.
eight more than a number is twenty
a)
8 + x = 20
b)
x + 20 = 8
c)
x- 20 = 8
d)
8 - x = 20
46.
Write the expression:
4 less than 5 times p
4 less than 5 times p
a)
5p - 4
b)
4 - 5p
c)
4p - 5
d)
5 - 4p
47.
2. Cheryl gets paid $8 per hour at her job at the record store. She made a total of $96 last week. Write a multiplication equation to show how many hours she worked last week.
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
48.
4. There are 3 tennis balls in each can. The coach bought a total of 27 tennis balls. Write and solve a multiplication equation to find how many cans the coach bought.
a)
x/3 = 27
b)
27x = 3
c)
x/27 = 3
d)
3x = 27
49.
In this soccer season, Emma has scored 1 more than twice the number of Nick's goals. If Emma has scored 15 goals, which equation can be used to find x, the number of Nick's goals?
a)
x - 15 = 1
b)
x + 1 = 15
c)
2x + 1 = 15
d)
x + 1 = x + 15
50.
$5 dollars less on dinner than James spent
a)
5 - j
b)
j +5
c)
j - 5
d)
j ÷ 5
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