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Competition math grade 7

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Jenny is solving a linear equation

12 + 3x - 5 = 8x + 8 - 5x


Her two final steps are:

7 + 3x = 3x + 8

7 = 8


Select the statement that correctly interprets Jenny's solution.

a)

The solution is the ordered pair (7, 8).

b)

The solution is x = 0.

c)

There are infinitely many solutions since 7 = 8 is a false statement.

d)

There is no solution since 7 = 8 is a false statement.

2.

Melanie earns $6 per hour working for her Dad. Write an equation to find out how many hours she needs to work to earn $54.00.

a)

54x=6

b)

6x=54

c)

9x=54

d)

54x=9

3.

Look at the following equation. 6x = 36 What is the operation you would use to solve this equation?

a)

Divide by 6

b)

Multiply by 6

c)

Add 6

d)

Subtract 6

4.

Solve the following equation.


5x = -25

a)

x=5

b)

x= -5

c)

x = -30

d)

x= -20

5.

Solve the following equation.


x- 7 = -20

a)

x= 27

b)

x= -13

c)

x= 13

d)

x= -27

6.
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.
7.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
8.
Solve for x:
52 = -5x - 3
a)
x = 11
b)
x = -11
c)
x = 275
d)
x = -275
9.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
10.
Which equation has x=9 as a solution
a)
4 + x = 12
b)
5x = 45
c)
2x = 20
d)
x + 7 = 26