Free Printable Quadratic Unit Review

1.

Which equation is equivalent to the equation below

a)

b)

c)

d)

2.

Write the equation of the graph .

a)

x² + 2x - 3

b)

x²- 2x - 3

c)

x² - 2x + 3

d)

x² + 2x + 3

3.

Which graph represents the f(x) = x² + 4x + 4

a)

b)

c)

d)

4.

Choose two factors that could represent the following graph.

a)

(x + 3) ( x - 3)

b)

(x + 3) (x + 2)

c)

(x + 3) (x + 3)

d)

(x + 3) (x - 2)

5.

Which equation represents the following quadratic function?

a)

b)

c)

d)

6.

Find the solution(s) to the following quadratic function

a)

(x + 9)(x + 3)

b)

(x - 9)(x - 3)

c)

(x - 9)(x + 3)

d)

(x - 1)(x + 27)

7.

Find the root(s) to the following quadratic function 5x² – 30x +45 = 0

a)

x = 5

b)

x = -5

c)

x = -3

d)

x = 3

8.

Factor x² -5x = -4

a)

(x - 1)(x + 4)

b)

(x - 2)(x + 2)

c)

(x - 1)(x - 4)

d)

(x + 1)(x + 4)

9.

Find the zero (s) to the following quadratic function x² -5x = -4

a)

x = 1, x = 4

b)

x = -1, x = -4

c)

x = -1, x = 4

d)

x = 1, x = -4

10.

What is the domain and range of the

quadratic function graphed?

a)

D: x > 1 R: All real numbers

b)

$D:\ x\ \ge2\ \ \ \ R:\ y\ge1$

c)

D: All Real numbers R: $y\ge2$

d)

D: All Real numbers R: y $\ge1$

11.

Which function has the same roots.

a)

5(x - 2)(5x + 2)

b)

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

c)

12(x - 2)(3x - 2)

d)

9(x + 2)(2x - 5)

12.

The roots of an equation are -2/3 and 9/10. Which expressions are the factors

a)

(10x + 9)(2x + 3)

b)

(9x - 10)(3x + 2)

c)

(10x - 9)(3x +2)

d)

(9x + 10)(2x - 3)

13.

Which equation has imaginary or complex solutions?

a)

$-2x^2-6x+2=0$

b)

$3x^2-5x+3=0$

c)

$4x^2+x\ -5=0$

d)

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

14.

If the function f(x)= $-3x^2$ is shifted 4 to the right and 2 up, which of the following is the new equation?

a)

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

b)

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

c)

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

d)

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

15.

If the function f(x)= $-3x^2$ is shifted 4 to the left, which of the following is the new equation?

a)

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

b)

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

c)

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

d)

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

16.

A graph of the function has x-intercepts of (3,0) and (-2,0). Which function represents the graph?

a)

$f\left(x\right)=x^2+x-6$

b)

$f\left(x\right)=x^2-5x+6$

c)

$f\left(x\right)=x^2+5x+6$

d)

$f\left(x\right)=x^2-x-6$

17.

What is the next step?

a)

$x^2+10x\ +\ 25\ =-2+25$

b)

$x^2+10x+100=-2+100$

c)

$x^2+10x+5=-2+5$

d)

$x^2+10x+20=-2+20$

18.

a)

b)

c)

d)

19.

How many solution(s) does the quadratic equation have for the graph?

a)

1 real solution

b)

2 real solutions

c)

No real solutions it has 1 imaginary solution

d)

No real solutions it has 2 imaginary solutions

20.

Which of the following inequalities represents the graph shown?

a)

$y<-x^2+6$

b)

$y>-x^2+6$

c)

$y\le-x^2+6$

d)

$y\ge-x^2+6$

21.

$In\ x^2-\frac{2}{5}x+c$ what value of c would
complete the square?

a)

$\frac{4}{25}$

b)

$\frac{1}{25}$

c)

$\frac{2}{25}$

d)

$\frac{1}{5}$

22.

$Solve\ x^2-8x-1=x-19$

a)

x=-6 and x = -3

b)

x = -6 and x = 3

c)

x = 6 and x = -3

d)

x = 6 and x = 3

23.

a)

5 seconds

b)

6 seconds

c)

7 seconds

d)

8 seconds

24.

a)

They have the same y-intercept

b)

The have the same vertex

c)

They both have a minimum point

d)

They both open up

25.

How did we transform from the parent function y = x²to y = -1/5(x - 1)² + 7 ?

a)

reflection, vertical shrink, horizontal shift right, vertical shift up

b)

vertical shrink, horizontal shift left, vertical shift up

c)

reflection, horizontal shift right, vertical shift down

d)

reflection, vertical stretch, horizontal shift left, vertical shift up

26.

What is the standard form for a Quadratic?

a)

ax²+ bx = - c

b)

x = -b ± √(b²-4ac) / 2a

c)

ax² + bx + c

d)

y = mx + b

27.

What is name of the graph of a Quadratic Equation?

a)

Line

b)

Parbola

c)

U

d)

Parabola

28.

What is the degree of every Quadratic Equation?

a)

1

b)

2

c)

3

d)

4

29.

What are the solutions?

a)

-2, 1

b)

1, 2

c)

-1,2

d)

0,-4

30.

What letter usually represent imaginary number?

a)

a

b)

i

c)

j

d)

x

31.

What is the "real part" of the complex number (-2+7i)?

a)

2

b)

-2

c)

7i

d)

-7i

32.

What is the "imaginary part" of the complex number (-2+7i)?

a)

2

b)

-2

c)

7i

d)

-7i

33.

Simplify
2i - 7i + 10

a)

-5i+10

b)

5i

c)

9i+10

d)

5i+10

34.

i(2+5i)

a)

-5+2i

b)

5-2i

c)

7i

d)

2i+5i

35.

(2+3i)(4-2i)

a)

14+8i

b)

48+16i

c)

12-8i

d)

2-8i

36.

Which of the following is equivalent to

(5-3i)+(-6+2i)?

a)

-1-5i

b)

-1-i

c)

11-i

d)

-30-6i

37.

Which of the following is equivalent to (3-5i)-(6+2i)

a)

-3-7i

b)

-3-3i

c)

3-3i

d)

9-7i

38.

Which one is NOT a form of quadratic functions?

a)

Standard Form

b)

Factored Form

c)

Regular Form

d)

Vertex Form

39.

What can we find easily in standard form?

a)

vertex

b)

x-intercepts

c)

y-intercept

40.

What can we find easily in factored form?

a)

y-intercept

b)

vertex

c)

x-intercepts

41.

What can we find easily in vertex form?

a)

vertex

b)

y-intercept

c)

x-intercepts

42.

Identify the form of the quadratic function:

f(x ) = (x + 1)²- 3

a)

Standard

b)

Factored

c)

Vertex

43.

Identify the form of the quadratic function:

f(x) = 3(x + 2)(x - 1)

a)

Vertex

b)

Standard

c)

Factored

44.

Identify the form of the quadratic function:

f(x) = (x - 8)(x + 8)

a)

Vertex

b)

Standard

c)

Factored

45.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

46.

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

47.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

48.

What effects does "h" have on the parent function?

a)

Vertical stretch/compression

b)

Horizontal shifts (left/right)

c)

Vertical shifts (up/down)

49.

If the blue is f(x)=x^2,then the red must be

a)

g(x)=x²-5

b)

g(x)=x²+5

c)

g(x)=(x-5)²

d)

g(x)=(x+5)²

50.

For f(x)=a(x-5)(x-4), what are the coordinates of the x-intercepts?

a)

(-5,0) and (-4,0)

b)

(4,0) and (-5,0)

c)

(5,0) and (-4,0)

d)

(5,0) and (4,0)

51.

What is a vertex?

a)

where the graph crosses the x-axis

b)

the y-intercept

c)

the maximum or minimum of the graph

d)

where the slope is vertical

52.

What is the domain of the function?

a)

D:{ x > 3}

b)

D:{x < 3}

c)

D:{all real numbers}

d)

D:{ -1 < x < 5}

53.

Which of the following is not the same as "solution"?

a)

x-intercept

b)

roots

c)

zeros

d)

y-intercept

54.

Is (2, 3) part of the solution set?
y < 2x²-3x+1

a)

Yes

b)

No

55.

Which inequality is shown?

a)

y< -x²

b)

y≤ -x²

c)

y> -x²

d)

y≥ -x²

56.

(2,2) is a solution to the inequality 2x-6y>x²+4x-8

a)

True

b)

False

57.

Solve:

2x² + 5x ≥ 12

a)

[-4, 1.5]

b)

(−∞, -4) U (1.5, ∞)

c)

(−∞, -4] U [1.5, ∞)

d)

no solution

58.

Solve: 5x - 10x² < 0

a)

(0, ½)

b)

[0, ½]

c)

(−∞, 0) U (½, ∞)

d)

(- ½ , 0)

59.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

60.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

61.

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

62.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

63.

A function has a discriminant of 25.
______________
How many solutions does it have?

a)

0

b)

1

c)

2

d)

5

64.

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

65.

a)

A

b)

B

c)

C

d)

D

66.

a)

A

b)

B

c)

C

d)

D

67.

a)

A

b)

B

c)

C

d)

D

68.

a)

A

b)

B

c)

C

d)

D

Quadratic Unit Review

Total questions: 68

Worksheet time: 6hrs 0mins

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