Free Printable Unit 6 Review

1.

Solve the following quadratic equation.

$2x^2-60=0$

a)

$x=\pm30i$

b)

$x=\pm\frac{\sqrt{60}}{2}$

c)

$x=\pm\sqrt{30}$

d)

$x=\pm900$

2.

Solve the following quadratic equation.

$3\left(x-4\right)^2-3=0$

a)

$x=3,5$

b)

$x=\pm\sqrt{5}$

c)

$x=-3,-5$

d)

$x=\pm\frac{\sqrt{3}}{3}+4$

3.

Solve the following quadratic equation.

$4\left(x+7\right)^2=48$

a)

$x=-19,5$

b)

$x=-7+2\sqrt{3},-7-2\sqrt{3}$

c)

$x=-5,19$

d)

$x=7+2\sqrt{3},7-2\sqrt{3}$

4.

Solve the following quadratic equation.

$\left(2x+3\right)\left(2x-7\right)=0$

a)

$x=\frac{3}{2},-\frac{7}{2}$

b)

$x=-\frac{2}{3},\frac{2}{7}$

c)

$x=-\frac{3}{2},\frac{7}{2}$

d)

$x=\frac{2}{3},-\frac{2}{7}$

5.

Solve the following quadratic equation.

$x^2+8x=-15$

a)

$x=-3,5$

b)

$x=-5,3$

c)

$x=3,5$

d)

$x=-5,-3$

6.

Solve the following quadratic equation.

$-2x^2-10x+28=0$

a)

$x=-2,7$

b)

$x=-7,2$

c)

$x=-10,28$

d)

$x=-28,10$

7.

Solve the following quadratic equation.

$2x^2+3x-4=0$

a)

$x=\frac{-3\pm\sqrt{-23}}{4}$

b)

$x=\frac{-3\pm\sqrt{41}}{4}$

c)

$x=\frac{-3\pm23i}{4}$

d)

$x=\frac{-3\pm41i}{4}$

8.

Solve the following quadratic equation.

$2x^2-2x-8=x^2$

a)

$x=-4,2$

b)

$x=-4,8$

c)

$x=-8,4$

d)

$x=-2,4$

9.

Simplify the following expression.

$\sqrt{-28}$

a)

$2i\sqrt{7}$

b)

$2\sqrt{7}$

c)

$7i\sqrt{2}$

d)

$7\sqrt{2}$

10.

Simplify the following expression.

$2\sqrt{-25}$

a)

$-10$

b)

$7i$

c)

$10i$

d)

$-7$

11.

Simplify the following expression.

$\frac{3+\sqrt{-16}}{2}$

a)

$\frac{7}{2}$

b)

$\frac{3-4i}{2}$

c)

$-\frac{1}{2}$

d)

$\frac{3+4i}{2}$

12.

Solve the following quadratic equation.

$x^2+3x+3=0$

a)

$x=-3,-1$

b)

$x=\frac{-3\pm i\sqrt{3}}{2}$

c)

$x=3,-3$

d)

$x=\frac{-3\pm\sqrt{21}}{2}$

13.

Simplify the following expression.

$\left(1-3i\right)+\left(3-6i\right)$

a)

$4+3i$

b)

$-2+3i$

c)

$4-9i$

d)

$-2-9i$

14.

Simplify the following expression.

$\left(1-\sqrt{-9}\right)+\left(3+\sqrt{-81}\right)$

a)

$4+6i$

b)

$-2-12i$

c)

$4-12i$

d)

$-2+6i$

15.

Simplify the following expression

$\left(\frac{1}{2}+\sqrt{-25}\right)-\left(\frac{3}{4}-6i\right)$

a)

$-\frac{1}{2}+11i$

b)

$-\frac{1}{4}-i$

c)

$-\frac{1}{2}-i$

d)

$-\frac{1}{4}+11i$

16.

Simplify the following expression.

$\left(4+3i\right)\left(2-7i\right)$

a)

$29-22i$

b)

$6-4i$

c)

$-13-34i$

d)

$8-43i$

17.

Simplify the following expression.

$\left(3-2i\right)\left(9+5i\right)$

a)

$27-13i$

b)

$12+3i$

c)

$37-3i$

d)

$17-3i$

18.

Simplify the following expression.

$\left(9+7i\right)\left(9-7i\right)$

a)

$18$

b)

$32$

c)

$95$

d)

$130$

19.

Simplify the following expression.

$\frac{5+i}{3-2i}$

a)

$13+13i$

b)

$1+i$

c)

$3+2i$

d)

$1-i$

20.

Simplify the following expression.

$\frac{3-5i}{2-i}$

a)

$\frac{19-4i}{13}$

b)

$\frac{11-7i}{5}$

c)

$\frac{1-13i}{5}$

d)

$\frac{6-5i}{13}$

Unit 6 Review

Total questions: 20

Worksheet time: 10mins

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