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Linear Relations - Equations

Total questions: 20

Worksheet time: 1hrs 21mins

Name
Class
Date
1.
Write an equation for the model above.
a)
x + 3 = -9
b)
x - 3 = 9
c)
3x + 1 = 9
d)
3x - 1 = 9
2.
 Identify the variables in the following expression:  4x + 2y - 6
a)
4, 2, -6
b)
-4 and x
c)
X and Y 
d)
-6
3.
What equation is modeled?
a)
3 = 6
b)
3x = 6
c)
x = 6
d)
3 = 6x
4.
a)
term
b)
coefficient
c)
variable
d)
constant
5.

Which equations matches the picture?

Key:

Birdhouse=B

Cardinal =1

a)

3B + 1 = 6

b)

B + 3 = 6

c)

1 + 3 = 6

d)

6 = 3B + 1

6.

Using the model, write the equation.

a)

6 = 2+x;

b)

6 = -2x;

c)

-6 = 2x;

d)

6 = 2x;

7.

Which equation matches the picture above?

a)

t = 3

b)

t + 4 = 7

c)

1 + 4 = 7

d)

4t + 1 = 7

8.
Write the equation for the model.
a)
10=2-x
b)
-10=-x+2
c)
-10=x-2
d)
-10=x+2
9.
Write the equation for the model.
a)
-6x=-30
b)
6x=-30
c)
6=-30
d)
-6x=30
10.
In an equation or expression, the number that is being multiplied by the variable is better known as what?
a)
Coefficient 
b)
Term
c)
Variable
d)
Expression
11.
Name the variable in the following number sentence:
2x -7 = 9
a)
x
b)
2
c)
7
d)
2x-7
12.

An equation is modeled. What value of x makes the equation true?

a)

A) -3

b)

B) 1

c)

C) -1

d)

D) 3

13.

An equation is modeled. What value of x makes the equation true?

a)

A) 2

b)

B)-2

c)

C) 1

d)

D) -1

14.

After 4 students joined a class, the class has 32 students. Which equation can be used to find n, the number of students in the class before the new 4 students joined?

a)

n4 = 32\frac{n}{4}\ =\ 32

b)

n - 4 = 32

c)

4n = 32

d)

n + 4 = 32

15.

What is the solution to the following equation?

a)

x = 8

b)

x = 16

c)

x = 4

d)

x = 6

16.

Ted bought a dolphin poster for $12. He now has $5. Write and solve an equation to find out how much money Ted took to the aquarium.

a)

m - 12 = 5

b)

m - 5 = 12

c)

m + 5 = 12

d)

m + 12 = 5

17.
Solve the following equation 
8 = m - 12
a)
4
b)
0.5
c)
5.0
d)
20
18.
Solve the following equation
2y = 18
a)
36
b)
16
c)
9
d)
20
19.
Karina played two softball games last week.  She had a total of 9 hits.  She had 4 hits in the first game.  Write an equation to determine how many hits she got in the second game.
a)
9 - 4 = h
b)
h + 4 = 9
c)
4h = 9
d)
h + 9 = 4
20.
Twice a number plus 6 is -72
a)
2 + 6x =- 72
b)
2x + 6 = -72
c)
2 + 6 = x
d)
2x2 + 6 = 72