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Two Step Equations

Total questions: 30

Worksheet time: 2hrs 53mins

Name
Class
Date
1.

 x−2+3=−3\frac{x}{-2}+3=-3  

a)

 x=0x=0  

b)

 x=12x=12  

c)

 x=−3x=-3  

d)

 x=−6x=-6  

2.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
3.
15 = 2a + 7
a)
2
b)
4
c)
12
d)
14
4.

WRITE AN EQUATION

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

a)

7x+6=331

b)

13x=331

c)

6x+7=331

d)

331-7=6x

5.
20 = 2 - a
a)
a= 18
b)
a= -18
c)
a= -10
d)
a= 12
6.
9x -7 = -7
a)
4
b)
0
c)
5
7.
10-6v=-104
a)
19
b)
-19
c)
18
8.
11 = 3z + 5
a)
2
b)
6
c)
1
d)
4
9.
-14 = 4x - 2 
a)
-3
b)
3
c)
6
d)
1
10.
21 = 5 - r 
a)
-16
b)
16
c)
24
d)
26
11.
-27 = - 7 - 4c
a)
5
b)
6
c)
13
d)
4
12.
Samuel bought 3 tires for $79.95 each and some rims for $59 each. He spent a total of $534.85. Which equation could be used to find the number of rims, r, Samuel bought?
a)
3(79.95) - 59r = 534.85
b)
79.95r - 59(3) = 534.85
c)
3(79.95) + 59r = 534.85
d)
79.95r + 59(3) = 534.85
13.
Translate the sentence into an equation:
Four more than six times a number is 18.
a)
10x = 18
b)
4x + 6 = 18
c)
4 + 6x = 18
d)
not enough info
14.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
15.
y/2 +6 =-8
a)
y=-28
b)
y=-1
c)
y=7
d)
y=-7
16.
15 = 2a + 7
a)
2
b)
4
c)
12
d)
14
17.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
18.
15 = 2a + 7
a)
2
b)
4
c)
12
d)
14
19.
When solving an equation, our goal is to:
a)
bake cookies.
b)
use a calculator.
c)
eat lunch.
d)
find the unknown value.
20.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
21.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
12
22.
In the equation 4y +-9 =-36
y = -4
a)
True
b)
 francine
c)
False
23.
10.    x / 2  - 5 = 3
a)
x = -2
b)
x = 2
c)
x = 16
d)
x = 8
24.
Solve.  -3x - 12 = 15
a)
9
b)
-1
c)
27
d)
-9
25.
Solve.  -9x - 12 = 33
a)
45
b)
-5
c)
5
d)
-9
26.
Solve.  -7x - 11 = 3
a)
2
b)
14
c)
-8
d)
-2
27.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

24+7x=10

c)

10+7x=24

d)

10+x=14

28.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
29.
What is a 2-step problem?
a)
An equation where 2 steps are needed to solve it.
b)
An equation where only one step is needed to solve it.
c)
A problem with only one operation present.
d)
A problem where you find the square-root of a number.
30.
Translate the statement into an equation:
6 less than twice a number is 4
a)
2n - 6 = 4
b)
6 - 2n = 4