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Worksheets

Add and Subtract Linear Expressions

Total questions: 25

Worksheet time: 1hrs 15mins

Name
Class
Date
1.
Find the sum:
(7k + 9) + (4k - 3)
a)
3k + 6 
b)
11k + 6
c)
-11k + 6
d)
- 3k + 6
2.

Add these expressions (8x+15) + (-4x+13)

a)

4x+ 28

b)

35x

c)

x+2

d)

7x - 2

3.

Add (8x+9)+(6x2)\left(8x+9\right)+\left(-6x-2\right)  

a)

14x+7-14x+7  

b)

2x+72x+7  

c)

2x112x-11  

d)

14x11-14x-11  

4.

Add (5x+4)+(8x2)\left(5x+4\right)+\left(-8x-2\right)  

a)

12x+6-12x+6  

b)

12x+2-12x+2  

c)

3x+2-3x+2  

d)

3x6-3x-6  

5.

Add (3x9)+(4x+8)\left(-3x-9\right)+\left(4x+8\right)  

a)

7x+1-7x+1  

b)

x+1x+1  

c)

7x1-7x-1  

d)

x1x-1  

6.
(6x + 9) - (4x + 6)
a)
10x + 15
b)
2x + 15
c)
10x + 3
d)
2x + 3
7.

(2x + 4) + (3x + 5)

a)

14x

b)

6x + 8x

c)

5x + 9

d)

x - 1

8.
(2x + 4) - (7x - 1)
a)
5x + 3
b)
-5x + 5
c)
-5x - 5
9.
(4x + 8) - (6x - 9)
a)
-2x + 1
b)
10x + 17
c)
-2x + 17
10.
(10x + 2) - (8x - 4)
a)
2x - 2
b)
2x + 6
c)
18x + 6
d)
18x - 2
11.

(- x + 12) - (- 4x + 2)

a)

3x + 10

b)

-5x + 14

c)

3x - 10

d)

Answer is not here

12.

Use the Distributive Property to simplify:

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

13.

Combine the like terms:

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

14.

Combine the like terms:

7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

15.

Add the expressions:

(3x+15) + (4x+13)

a)

7x+ 28

b)

35x

c)

x+2

d)

7x - 2

16.

Subtract the expressions:

(7a + 4) - (9a + 2)

a)

-2a + 6

b)

16a + 6

c)

-2a + 2

d)

2a + 2

17.

Add the expressions:

(7k + 9) + (4k - 3)

a)

3k + 6

b)

11k + 6

c)

-11k + 6

d)

- 3k + 6

18.

Subtract the expressions:

(2x + 5) − (x + 4) =

a)

x + 1

b)

3x + 9

c)

−x + 1

d)

x + 9

19.

Add these expressions (12x+14) + (4x-15)

a)

16x - 1

b)

35x

c)

8x + 1

d)

16x - 29

20.
Simplify (5x + 3) - (2x - 5)
a)
3x + 8
b)
3x - 2
c)
7x + 8
d)
7x - 2
21.

Loy paid $(4x + 7) for a beef roast and $(2x – 5) for five pounds of potatoes. Write an expression for the total amount he spent on food.

a)

6x + 2

b)

6x + 11

c)

8x - 35

d)

8x + 35

22.

Addison has 6x – 7 pairs of shoes while China has 2x + 3 pairs of shoes. How many more pairs of shoes does Addison have than China?    

a)

8x - 4

b)

8x + 10

c)

4x - 4

d)

4x - 10

23.

A grasshopper has a length of (5x – 2) inches. A spider has a length of (2x – 1) inches. How much longer is the grasshopper?

a)

3x - 1

b)

3x - 3

c)

7x - 3

d)

7x + 3

24.

The cost of a gallon of gasoline at Racetrack is (-2x + 3.5) and at Speedway it is (x - 1.2). How much more does gasoline cost at Speedway than at Racetrack?

a)

-3x + 4.7

b)

-3x + 2.3

c)

3x + 2.3

d)

3x - 4.7

25.

Two Florida panthers were weighed. One weighs 6x + 21 pounds and the two together weigh 14x + 11 pounds. How much does the other panther weigh alone?

a)

-8x + 11

b)

-8x - 11

c)

8x - 10

d)

8x + 10