Free Printable Division of algebraic expressions

1.

$\frac{\text{3}x^2-2xy}{\text{2x}}$

a)

$1.5x^{3\ }-x^2y$

b)

$1.5x\ -\ y$

c)

$1.5x\ +\ y$

d)

$1.5x\ -\ 2y$

2.

$\frac{4ab\ -\ 8b}{2b}$

a)

2a + 4

b)

2ab - 4

c)

2a - 4

d)

2a - 4b

3.

$\frac{14x^3y^2\ +17x^2y}{8xy}$

a)

$1.75x^2y\ -\ 2xy$

b)

$1.75x^3y^2\ +2.125x^2y$

c)

$1.75xy\ +2.125xy$

d)

$1.75x^2y\ +2.125x$

4.

$\frac{18y^{6\ }+9y^{4\ }-12y^2}{3y^2}$

a)

$6y^2\ +3y^2\ -4y^2$

b)

$15y^{4\ }+6y^2\ -\ 9$

c)

$6y^{4\ }+3y^2-4$

d)

$6y^{3\ }-3y^2\ +4y$

5.

$\frac{20x^2yz\ +15xy^2z^2}{5xyz}$

a)

$4x+3yz$

b)

$4xyz\ +\ 3xyz$

c)

$15x\ +12yz$

d)

$4x^2yz\ +3xy^2z^2$

6.

$\frac{-4a^{7\ }-\ 6a^5}{2a^3}$

a)

$2a^{4\ }+3a^2$

b)

$4a^{4\ }-\ 4a^2$

c)

$-2a^{7\ }-\ 3a^5$

d)

$-2a^{4\ }-3a^2$

7.

$\frac{50x\ -\ 30y\ +40z}{10}$

a)

$5x\ -\ 3y\ +\ 4z$

b)

$5\ -\ 3\ -\ 4$

c)

$5x\ +\ 4y\ +\ 3z$

d)

$40x\ -\ 20y\ -\ 30z$

8.

Divide:
(9x² + 6x) ÷ 3x

a)

3x + 2

b)

3x² + 2x

c)

5x²

d)

3x + 6

9.

Divide 8x² -4x + 12 by 2x

a)

4x+2

b)

4x-2+6/x

c)

4x-2

d)

4x-2+1/(6x)

10.

$\frac{18y^{6\ }+9y^{4\ }-12y^2}{3y^2}$

a)

$6y^2\ +3y^2\ -4y^2$

b)

$15y^{4\ }+6y^2\ -\ 9$

c)

$6y^{4\ }+3y^2-4$

d)

$6y^{3\ }-3y^2\ +4y$

11.

$\frac{-4a^{7\ }-\ 6a^5}{2a^3}$

a)

$2a^{4\ }+3a^2$

b)

$4a^{4\ }-\ 4a^2$

c)

$-2a^{7\ }-\ 3a^5$

d)

$-2a^{4\ }-3a^2$

12.

Solve using long division $\left(2x^2+6x-20\right)\div\left(2x-4\right)$

a)

$x+5+\frac{2}{2x-4}$

b)

$x-8$

c)

$x-5+\frac{3}{2x-4}$

d)

$x+5$

13.

Which term must be inserted in the dividend before you begin long division?

$\left(2x^3+5x^2+9\right)\div\left(x+3\right)$

a)

$0x^4$

b)

$0x^3$

c)

$0x^2$

d)

$0x$

14.

Use synthetic division:

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

a)

2x² - x - 2

b)

2x³ - x² - 2x

c)

2x² + 15x + 54 + 208/x+4

d)

2x³ + 15x² + 54x + 208

15.

(4x² - 24x + 35) ÷ (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

Division of algebraic expressions

Total questions: 15

Worksheet time: 1hrs 15mins

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