Free Printable Unit 3 Quadratic Functions Test REVIEW

1.

3.1 Which is the vertex form of a quadratic?

a)

$y=a\left(x-h\right)^2+k$

b)

$y=ax^2+bx+c$

2.

3.1 When using the vertex form of a quadratic, the Line of Symmetry (LOS) is

a)

x = a

b)

x = h

c)

x = y

d)

x = 3

3.

3.1 When using the vertex form of a quadratic, the vertex is

a)

(y, k)

b)

(a, h)

c)

(x, y)

d)

(h, k)

4.

3.1 When using vertex form of a quadratic, you find the y-intercept by

a)

solving for x

b)

plugging "0" in for x

c)

subtracting terms

5.

3.1/3.2 The domain for any quadratic function is

a)

D:{x = all real numbers}

b)

D:(x = Z)

c)

D:{x = R}

d)

R:{x = all imaginary numbers}

6.

3.2 Which is the standard form of a quadratic?

a)

$y=a\left(x-h\right)^2+k$

b)

$y=ax^2+bx+c$

c)

$y=c+ax^2+bx$

7.

3.2 When using standard form of a quadratic function, the Line of Symmetry (LOS) is

a)

$x=-\frac{c}{2a}$

b)

$y=x^2$

c)

$x=-\frac{\left(b\right)}{2\left(a\right)}$

8.

3.2 When using the standard form of a quadratic function, you find the vertex by

a)

substituting LOS x = into f(x)

b)

substituting a = into f(x)

c)

substituting LOS y = into f(x)

d)

substituting LOS x = into y-int

9.

3.2 In standard form , the y-intercept =

a)

x

b)

b

c)

a

d)

c

10.

3.1/3.2 When $a$ is negative, the parabola is facing down.

a)

True

b)

False

11.

3.3.a Simplify.

$\sqrt{36}=$

a)

18

b)

9

c)

4

d)

6

12.

3.3.a Simplify.

$\sqrt{18}=$

a)

$2\sqrt{3}$

b)

$3\sqrt{2}$

c)

$9$

d)

$\sqrt{9}$

13.

3.3.a Simplify.

$3\sqrt{49}=$

a)

147

b)

37

c)

21

d)

54

14.

3.3.b Simplify.

$\sqrt{-100}=$

a)

$100i$

b)

$10i$

c)

$-10$

d)

$-10i$

15.

3.3.b Simplify.

$\sqrt{-225}=$

a)

$10i$

b)

$15$

c)

$-74$

d)

$15i$

16.

3.3.b Simplify.

$\sqrt{-50}$

a)

$5i\sqrt{2}$

b)

$5\cdot2i$

c)

$5\sqrt{2}$

d)

$25i$

17.

3.4.a Simplify.

$\left(4+10i\right)+\ \left(9-2i\right)=$

a)

$36-20i$

b)

$13+12i$

c)

$13+8i$

d)

$25i$

18.

3.4.a Simplify.

$\left(4+10i\right)-\ \left(9-2i\right)=$

a)

$36-20i$

b)

$-5+12i$

c)

$13+8i$

d)

$5\ +12i$

19.

3.4.b Simplify.

$\left(4+10i\right)\left(9-2i\right)=$

a)

$56+82i$

b)

$-5+12i$

c)

$50\ -82i$

d)

$5\ +12i$

20.

$x\ =\left\{\ \ \ \ \right\}$

3.5 What are the solutions?

a)

2,4

b)

-2, -4

c)

2, 0

d)

4, 0

21.

$x\ =\left\{\ \ \ \ \right\}$

3.5 What are the solutions?

a)

no real solutions

b)

-3, -5

c)

-4

d)

-4, 1

22.

3.6 Solve.

$x^2+4=68$

a)

$x=8$

b)

$x\ =\pm8$

c)

$x=\pm72$

d)

$x=\pm64$

23.

3.6 Solve.

$2x^2-1=31$

a)

$x=-4$

b)

$x\ =4$

c)

$x=\pm16$

d)

$x=\pm4$

24.

3.8 Solve by factoring.

$x^2+9x+14\ =0$

a)

$x=\left\{-2,-7\right\}$

b)

$x\ =\left\{7,2\right\}$

c)

$x=\left\{3,\ -5\right\}$

d)

$x=\left\{5,3\right\}$

25.

3.8 Solve by factoring.

$x^2+2x-15\ =0$

a)

$x=\left\{-2,-7\right\}$

b)

$x\ =\left\{7,2\right\}$

c)

$x=\left\{3,\ -5\right\}$

d)

$x=\left\{5,3\right\}$

26.

3.9 Solve by quadratic formula. Use Desmos Calculator.

$6x^2-7r+2\ =0$

a)

$x=\left\{2.3,-7.2\right\}$

b)

$x\ =\left\{0.667,\ 0.5\right\}$

c)

$x=\left\{0.33,\ -5.45\right\}$

d)

$x=\left\{2,\ 0.333\right\}$

27.

3.9 Solve by quadratic formula. Use Desmos Calculator.

$2x^2+9r-5\ =0$

a)

$x=\left\{2.3,-7.2\right\}$

b)

$x\ =\left\{-5,\ 0.5\right\}$

c)

$x=\left\{0.33,\ -5.45\right\}$

d)

$x=\left\{2,\ 0.333\right\}$

Unit 3 Quadratic Functions Test REVIEW

Total questions: 27

Worksheet time: 7hrs 45mins

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