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Worksheetssolving multistep equations
Total questions: 60
Worksheet time: 3hrs 19mins
Name
Class
Date
1.
Translate the sentence into an equation, and then solve the equation:
Seven times a number is 28.
Seven times a number is 28.
a)
7y = 28; y = 7
b)
7y = 28; y = 4
c)
-7y = 28; y = -4
d)
y/7 = 28; y = 4
2.
Translate the sentence into an equation, and then solve the equation:
Three less than a number is 18.
Three less than a number is 18.
a)
3 - x = 18; x = -15
b)
3 - x = 18; x = 21
c)
x - 3 = 18; x = 21
d)
x - 3 = 18; x = -15
3.
The variable, k, is being divided by 11. How should you show your work to isolate the variable?
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
4.
Solve the equation:
4p = 16
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
5.
What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
6.
Translate the sentence into an equation:
The product of a number and two-thirds is 24.
The product of a number and two-thirds is 24.
a)
2/3 + x = 24
b)
2/3 x = 24
c)
3/2 x = 24
d)
x / (2/3) = 24
7.
Translate the sentence into an equation:
Four more than six times a number is 18.
Four more than six times a number is 18.
a)
10x = 18
b)
4x + 6 = 18
c)
4 + 6x = 18
d)
not enough info
8.
What is the expression for "six less than y"
a)
6- y
b)
6 < y
c)
y - 6
9.
x - 9 = -2
a)
-7
b)
11
c)
-11
d)
7
10.
5x = -20
a)
-4
b)
-25
c)
4
d)
25
11.
Write an equation and solve.
The quotient of a number and twelve is eight.
The quotient of a number and twelve is eight.
a)
12x= 8
x=2/3
x=2/3
b)
12x= 8
x=3/2
x=3/2
c)
x/12= 8
x=96
x=96
d)
x/12= 8
x=2/3
x=2/3
12.
Write an equation and solve.
Seventeen multiplied by a number is 68.
Seventeen multiplied by a number is 68.
a)
17n=68
n= 1156
n= 1156
b)
n/17=68
n=1156
n=1156
c)
17n=68
n=4
n=4
d)
n/17=68
n=4
n=4
13.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
14.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
15.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
16.
Solve the equation
3x = 27.
3x = 27.
a)
x = 24
b)
x = 81
c)
x = 9
17.
a)
4 ¾
b)
3 ⅓
c)
5 ⅜
d)
3 ⅙
18.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
19.
Twice a number is 24.
a)
2n = 24
b)
2/n = 24
c)
2 + n = 24
d)
2 - n = 24
20.
33 = 4a - 7
a)
a=-10
b)
a=10
c)
a=4.5
21.
6 - 3a = 21
a)
a= 9
b)
a= -9
c)
a= -5
d)
a= 5
22.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
23.
20 = 2 - a
a)
a= 18
b)
a= -18
c)
a= -10
d)
a= 12
24.
7 + a⁄3 = 5
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
25.
Solve 7y - 4 = -11
a)
1
b)
2
c)
-1
d)
-2
26.
Solve the equation
3x = 27.
3x = 27.
a)
x = 24
b)
x = 81
c)
x = 9
d)
x = 3
27.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side.
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
28.
Translate the statement into an equation:
6 less than twice a number is 4
6 less than twice a number is 4
a)
2n - 6 = 4
b)
6 - 2n = 4
29.
Translate the statement into an equation:
5 less than 3 times a number is 7
5 less than 3 times a number is 7
a)
3n - 5 = 7
b)
5 - 3n = 7
30.
The sum of a number and 8 is 12.
What is the number?
What is the number?
a)
2
b)
3
c)
4
d)
5
31.
8 less than a number is 6.
What is the number?
What is the number?
a)
14
b)
2
32.
Translate the statement into an equation:
Seven less than a number is 3
Seven less than a number is 3
a)
7 - n = 3
b)
n - 7 = 3
33.
Translate the statement into an equation:
The sum of three times a number and ten is equal to eight times the number.
The sum of three times a number and ten is equal to eight times the number.
a)
3 + 10 = 8
b)
3x + 10 = 8
c)
3x + 10 = 8x
d)
3(x + 10) = 8x
34.
Two more than 4 times a number is -18.
a)
4x + 2 = -18
b)
2x + 4 = -18
c)
18 = 4x +2
35.
The quotient of a number and -9 increased by 10 is 11.
a)
x/11 + 10 = -9
b)
x/10 + -9 = 11
c)
x/-9 + 10 = 11
36.
The product of 6 and a number plus 13 is 21.
a)
6x + 13 = 21
b)
21x + 6 = 13
c)
6x + 21 = 13
37.
Select the equation that represents the following statement: Sixteen is five more than g.
a)
16 = g - 5
b)
16 + 5 = g
c)
5 = g + 16
d)
16 = 5 + g
38.
4c - 6 = 2
a)
2
b)
-2
c)
1
d)
3
39.
3f - 12 = -3
a)
3
b)
-3
c)
11
d)
12
40.
8 = 4v + 12
a)
-1
b)
1
c)
0
d)
-10
41.
3n + 4 = 7
a)
1
b)
-1
c)
3.67
d)
2
42.
What is the difference between an expression and an equations?
a)
An expression has an equal sign (=)
b)
an equation has an equal sign (=)
43.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
44.
5x+4=-6
a)
2
b)
-2
c)
10
d)
15
45.
a)
2
b)
4
c)
6
d)
8
46.
a)
60
b)
70
c)
80
d)
90
47.
a)
4
b)
6
c)
8
d)
30
48.
y + 6 = 20
a)
y = 22
b)
y = 13
c)
y = 14
d)
y = 16
49.
x - 10 = 12
a)
22
b)
-22
c)
2
d)
-2
50.
m - 5 = -10
a)
-15
b)
15
c)
-5
d)
5
51.
4 + b = 30
a)
-34
b)
34
c)
-26
d)
26
52.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
53.
Which restaurant has this logo?
a)
McDonalds
b)
Taco Bell
c)
Arby's
d)
Burger King
54.
Which social media has this logo?
a)
Snapchat
b)
Facebook
c)
Pinterest
d)
Instagram
55.
Which social media has this logo?
a)
Twitter
b)
Snapchat
c)
Facebook
d)
Music.ly
56.
Which store has this logo?
a)
Walmart
b)
Best Buy
c)
Target
d)
Marshalls
57.
Which restaurant has this logo?
a)
Starbucks
b)
Dunn Brothers
c)
McDonalds
d)
Taco John's
58.
Translate the sentence into an equation:
Four more than six times a number is 18.
Four more than six times a number is 18.
a)
10x = 18
b)
4x + 6 = 18
c)
4 + 6x = 18
d)
not enough info
59.
The product of 6 and a number plus 13 is 21.
a)
6x + 13 = 21
b)
21x + 6 = 13
c)
6x + 21 = 13
60.
Translate the sentence into an equation:
Four more than six times a number is 18.
Four more than six times a number is 18.
a)
10x = 18
b)
4x + 6 = 18
c)
4 + 6x = 18
d)
not enough info
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