Free Printable G7 Adding and Subtracting Algebraic Expressions

1.

Find the sum.

$(3-2x+2x^2)+(4x-5+3x^2)$

a)

7x - 7x + 5x²

b)

5x²+ 2x - 2

c)

5x²

d)

5x² + 6x + 8

2.

The length of the rectangle is $7x-4$ . The width of the rectangle is $5x+1$ . Which expression represents the difference between the length and the width of the rectangle?

a)

$-2x-3$

b)

$2x+3$

c)

$2x-5$

d)

$-2x+5$

3.

Simplify the expression.

$(4a^3-8a-4a^2)+(7a^3-7-6a)$

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

4.

Simplify by combing like terms.

$(5x+2)+(4x+5)$

a)

9x - 7

b)

-9x - 11

c)

9x + 7

d)

x + 7

5.

Simplify each expression.

$(6x+4x^4-3x^2)+(7x^4+5x^2+8x)$

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

6.

Add the polynomials $(x-2)$ and $(x^2+3)$ .

a)

x²+ x + 1

b)

x³+ 5

c)

x³+ 1

d)

x³- 1

7.

Subtract

$\left(-3x+4\right)-\left(-7x-6\right)$

a)

$10x+10$

b)

$4x+10$

c)

$4x-2$

d)

$10x+2$

8.

Find the sum.

$(4a+6ab-b)+(-2a-ab+3b)$

a)

2a + 7ab + 2b

b)

6a + 5ab - 2b

c)

6a + 7ab + 4b

d)

2a + 5ab + 2b

9.

Find the sum.

$(10m-7n)+(2m-n)$

a)

12m - 8n

b)

12m - 6n

c)

12m + 8

d)

12m - 6

10.

What is the perimeter of the rectangle?

a)

$x^2+8x-5$

b)

$2x^2+16x-10$

c)

$2x^2+10x-8$

d)

$6x-2$

11.

Find the difference.

$(4x^2+x)-(x^2+2x)$

a)

3x²- x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

12.

Find the difference.

$\left(2x^2+5x+7\right)-\left(3x^2\ +7x\right)$

a)

$-x^2\ -2x+7$

b)

$-5x^2\ -12x+7$

c)

$x^2\ +2x+7$

d)

$x^2\ -2x+7$

13.

Melden makes and sell $x$ baskets at her shop. The expression $9x-2$ represents the profit she made on Monday, and the expression $6x+5$ represents the profit she made on Tuesday. What expression represents the total profit Melden made on Monday and Tuesday?

a)

$15x-3$

b)

$15x+7$

c)

$3x+3$

d)

$15x+3$

14.

Add this expression.

$(4x-2x^3)+(5x^3-4x+5)$

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

15.

Find the difference.

$\left(-2x-3\right)\ +\left(-3x+8\right)$

a)

$-x+5$

b)

$-x+11$

c)

$-5x+5$

d)

$-5x+11$

16.

Find the difference.

$(5x+x^2-4)-(4x-x^2+6)$

a)

2x² + x + 2

b)

x + 2

c)

2x² + x - 10

d)

x - 10

17.

Find the sum.

$\left(k^2\ +3k\right)+\left(3k^2-2k\right)$

a)

$4k^2+k$

b)

$4k^2-5k$

c)

$3k^2+k$

d)

$3k^2-k$

18.

Simplify by combining like terms.

$(5x+2)+(4x+5)$

a)

$9x-7$

b)

$-9x-11$

c)

$9x+7$

d)

$x+7$

19.

Simplify each expression.

$(4n^4-8n+4)-(8n^2+4n^4+1)$

a)

$-8n^2-8n+3$

b)

$-7n^2-8n+3$

c)

$-6n^2-8n+3$

d)

$-7n^2-4n+3$

20.

Find the sum.

$(2x^2+5x-7)+(3-4x^2+6x)$

a)

$2x^2+3x+1$

b)

$-2x^2-11x-4$

c)

$2x^2+5x-7$

d)

$-2x^2+11x-4$

G7 Adding and Subtracting Algebraic Expressions

Total questions: 20

Worksheet time: 1hrs 17mins

Similar Resources on Wayground