Free Printable Quadratics Review

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Quadratics Review

Total questions: 64

Worksheet time: 5hrs 20mins

Name

Class

Date

Solve
x²- 10 = 26

x = -6, 6

x = -4, 4

x = 4, 6

No solution

Solve
x²- 10 = 26

x = -6, 6

x = -4, 4

x = 4, 6

No solution

What are the x- intercepts?

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

What is the vertex for the parabola represented by the equation
y = 2(x + 3)² - 8?

(3, 8)

(3, -8)

(-3, 8)

(-3, -8)

How many zeros does this parabola have?

Does this parabola have a maximum or minimum?

Maximum

Minimum

What is another name for the x-intercepts of a quadratic?

y-intercepts

zeros

x-axis

none of these

Factor completely
k² -2k - 24

(k+4)(k-6)

(k+4)(k+6)

(k+6)(k-1)

(k-4)(k+6)

Identify the 'a' value: y = 16x² -8x -24

-8

-24

10.

Solve by factoring
x² + 13x + 12 = 0

x = -12, -1

x = 12, 1

x = 13, 1

x = -13, -1

11.

What are the green dots called?

axis of symmetry

vertex

parabola

roots or x-intercepts

12.

Factor: x² – 5x – 24

(x - 5)(x + 19)

(x - 8)(x + 3)

(x - 3)(x + 8)

(x - 19)(x + 5)

13.

The discriminant is

aX² + bX + c

b - 4ac

b² - 4ac

b² + 4ac

14.

If the discriminant is positive, then the solution will be

one real solution

two real solutions

no real solutions

one imaginary solution

15.

1 What does the discriminant tell us?

The maximum or minimum

The y-intercept

The number and type of solutions

The axis of symmetry

16.

If the discriminant is equal to 0, how many solutions are there?

No solutions

1 Solution

2 Solutions

Infinite solutions

17.

What is the vertex?

(-2,0)

(0,0)

(0,-4)

(2,0)

18.

Select the answer that has a, b, and c correctly labeled:

y=-x^2+2x-9

a= 1, b= 2, c= -9

a= 2, b= -1, c= 9

a= -9, b= 2, c= -1

a= -1, b= 2, c= -9

19.

What is the equation of the line of symmetry for this quadratic function?

x = -3

x= .5

x = 4

x = -12

20.

Which direction will this parabola open?

y=2x^2+8x-16

upwards

downwards

21.

What is the green dot on the parabola called?

maximum

minumum

roots

zeros

22.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

(3,2)

(-3,-2)

(-3,2)

(3,-2)

23.

The axis of symmetry line passes through which point?

y-intercept

any random point

vertex

none of these

24.

What are the x- intercepts?

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

25.

What is another name for the x-intercepts of a quadratic?

y-intercepts

zeros

x-axis

none of these

26.

Factor completely
k² -2k - 24

(k+4)(k-6)

(k+4)(k+6)

(k+6)(k-1)

(k-4)(k+6)

27.

Factor completely
k²+7x+10

(k+2)(k+5)

(k-2)(k-5)

(k+10)(k+4)

(k+2)(k-5)

28.

Factor completely
n² + 16n + 63

(n-7)(n+4)

(n+7)(n-9)

(n-3)(n-10)

(n+7)(n+9)

29.

Identify the 'a' value: y = 16x² -8x -24

-8

-24

30.

Solve by factoring
x² + 13x + 12 = 0

x = -12, -1

x = 12, 1

x = 13, 1

x = -13, -1

31.

Factor: x² + 2x – 3

(x - 2)(x + 1)

(x + 1)(x - 3)

(x + 2)(x - 1)

(x - 1)(x + 3)

32.

Identify the 'b' value: y = 16x² -8x -24

-8

-24

33.

Does this graph have a maximum or minimum?

Minimum

Maximum

34.

What are the green dots called?

axis of symmetry

vertex

parabola

roots or x-intercepts

35.

What is the axis of symmetry of:y=2x²-4x+9

x = 1

x = -1

x = -2

x = 4

36.

What is the y-intercept of: y=7x²+2x -1

(0, 1)

(0, -1)

(1, 0)

(-1, 0)

37.

Solve 2(x-1)²= 32

x= -3, 5

x= -4, 4

x= 3, 5

x= 2, 6

38.

Solve.
(x-2)² = 100

m = -8, 12

m = 8, 12

m = ±10

No real solution

39.

What is the equation for the axis of symmetry?

y=3

x=3

x=5

x=1

40.

What is the green dot on the parabola called?

maximum

minumum

roots

zeros

41.

Does y = -4x² have a maximum or minimum value?

maximum

minimum

42.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

(3,2)

(-3,-2)

(-3,2)

(3,-2)

43.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

(3,2)

(-3,-2)

(-3,2)

(3,-2)

44.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

(5, -7)

(-2, -7)

(2, -7)

(-7, -2)

45.

Which of the following is the correct equation for the given graph?

f(x) = (x - 2)² - 1

f(x) = (x + 2)² - 1

f(x) = -(x + 2)² - 1

f(x) = -(x - 2)² - 1

46.

What is the formula to find the vertex of a parabola?

x = -b/2

x = -b

x = -b / (2a)

x = -b / 2

47.

Select the answer that has a, b, and c correctly labeled:

y=-x^2+2x-9

a= 1, b= 2, c= -9

a= 2, b= -1, c= 9

a= -9, b= 2, c= -1

a= -1, b= 2, c= -9

48.

What form is this equation written in?

y=-x^2+6x+7

standard form

vertex form

factored form

slope-intercept form

49.

What are the zeros?

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

50.

The height of a ball that is thrown into the air is given by h(t) = -5t² + 40t + 2. From what height was the balloon released?

2 meters

4 meters

5 meters

8 meters

51.

If a toy rocket is launched from the ground and its height h after t seconds is given by the function h(t) = -8t² +64t.

When will the object reach its maximum height?

128 ft

0 seconds

0 ft

4 seconds

52.

If you jump off a cliff and your path is modeled by the function,

h(t) = -16t² + 8t + 24, where t is time in seconds, how long would it take you to reach the water?

.25 sec

1 sec

1.5 sec

2 sec

53.

A ball is thrown vertically into the air. Its height in feet after t seconds is given by the equation h(t) = –5t² + 20t, and is graphed below. How high will the ball be after 3 seconds?

20 ft

15 ft

5 ft

10 ft

54.

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. When does the rocket hit the ground?

7 seconds

6 seconds

3 seconds

8 seconds

55.

Does the quadratic have a maximum or minimum vertex, and does the parabola open up or down?

max/ opens down

min/ opens up

max/ opens up

min/ opens down

56.

3v² - 8v + 5

(3v + 5)(v - 1)

(3v - 5)(v + 1)

(3v - 5)(v - 1)

(3v + 5)(v + 1)

57.

A quadratic equation with a vertex at $\left(9,\ -2\right)$ has an axis of symmetry at.....?

$x=9$

$9$

$x=-2$

$-2$

$x=2$

58.

What is the vertex of this quadratic equation?
y = 2(x - 2)² + 5

(-2,5)

(2,5)

(5,-2)

(-5,-2)

59.

What is the y-intercept of this parabola?

(−1, 3)

(−3, 11)

(−2, 5)

(0, 5)

60.

How many solutions does this function have?

two

one

all real numbers

no real solutions

61.

How many solutions does this function have?

two

one

all real numbers

no real solutions

62.

What are the solutions?

a² + 2a − 24 = 0

a = −6, 4

a = 6, −4

a = 12, −2

a = 8, −3

63.

Factor x² + 7x + 12

(x + 2)(x + 10)

(x + 3)(x + 4)

(x + 4)(x + 5)

(x + 4)(x + 6)

64.

Factor:
v² + 3v - 88

(v + 11)(v - 8)

(v + 22)(v - 4)

(v + 8)(v - 11)

(v - 22)(v + 4)

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Quadratics Review

Total questions: 64

Worksheet time: 5hrs 20mins

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