Free Printable Cycle 5 Test Review

Worksheets

Cycle 5 Test Review

Total questions: 65

Worksheet time: 2hrs 23mins

Name

Class

Date

Which of the following equations matches standard form of a quadratic?

ax + by = c

y = a(x - h)² + k

y = ax² + bx + c

y = mx + b

What are the roots of the function?

x = 4, -1

(-4, 1)

x = -4, 1

(4, 0) (-1, 0)

What is another word for zeros?

y-intercepts

roots

vertex

axis of symmetry

-4, 2

-2, 4

-16

-4

-2, 4

-8

±8

No real solution

-3, 4

3, 4

-4, -3

-3

-6, -2

-2, 6

2, 6

-6, 2

1.5, - 1.5

1.5

-1, 1

No real solution

m²-10m=0

m=0 and m=-10

m=1 and m=10

m=0 and m=10

m=1 and m=-10

10.

Factor and Solve

6x² + 17x + 12 = 0

x = -4/3, x = -3/2

x = 9, x = 8

x = 4, x = 3

x = -4, x = -3

11.

Factor and Solve

2x² - 3x - 2 = 0

x = 1, x = -1

x = -1/2, x = 2

x = 1/2, x = 2

x = 1/2, x = 1

12.

Determine the values of

a, b, and c for

4x² – 8x = 3

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

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

a = 4, b = 8, c = 3

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

13.

Solve

2x² - 9x - 35 = 0

x = 7/2, x = -6

x = -5/2, x =5

x = -3/7, x =6

x = -5/2, x = 7

14.

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

-8

-24

15.

How many solutions does the equation 4x² + 4x + 1 = 0 have?

More than 2

16.

Solve

4x²+ 4x + 1 = 0

x = -½

x = -2

x = 0

17.

Convert x²-6x+9 to factored form and identify the solution.

(x-3)(x-3); x=3

(x+3)(x+3); x=-3

(x+4)(x+2); x=-4, -2

Not factorable

18.

Convert x²-9x+20 to factored form and solve.

(x-10)(x+2); x=-2, 10

(x+4)(x+5); x=-5, -4

(x-4)(x-5); x=4, 5

Not factorable

19.

Find the expression equivalent to (x-1)(x-9)

x²+9

x²-10x+9

x²-10x-9

x²+10x+9

20.

Solve 3x² - 192 = 0

-32 or 32

No Solution

-8 or 8

-64 or 64

21.

Which of the following equations matches standard form of a quadratic?

ax + by = c

y = a(x - h)² + k

y = ax² + bx + c

y = mx + b

22.

What are the zeros?

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

23.

What are the solutions of this graph?

-2 and 3

-1/2 and -6

-2 and -6

3 and -6

24.

Find the zeros of the equation:
(x+10)(x-2) = 0

10 and 2

-2 and 10

-10 and 2

-2 and -10

25.

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

x = -2 ± √3

x = -3 ± √2

x = 2 ± √3

x = 2 ± √2

26.

Solve the following quadratics equation by completing the square...

x² - 6x + 2 = 0

x = -3 ± √7

x = 3 ± √7

x = 7 ± √3

x = -7 ± √3

27.

Solve the following quadratics equation by completing the square...

x² + 2x - 5 = 0

x = -1 ± √6

x = 1 ± √6

x = 6 ± √1

x = -6 ± √1

28.

Which equation shows $x^2+8x+9=0$ after the method of completing the square has been applied?

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

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

$\left(x+8\right)^2=55$

$x^2=-\left(8x+9\right)$

29.

What do you do to the b value to correctly complete the square?

square it

divide it by 2 and square the result

divide it by 2 and take the square root of the result

divide it by 2 only

30.

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

Set the equation equal to zero

Divide 10 by 2 and add the result to both sides

Add a² and 10a together

Subtract the 21

31.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

32.

x² + 4 = 68

± 8

± √8

± 64

33.

$x^2+12x$

What value completes the square?

34.

What number added would make a perfect square trinomial?

x² - 8x + ______

-4

-64

35.

Factor x³+125

(x+5)(x²-25)

(x-5)(x²+25)

(x+5)(x²-5x+25)

(x-5)(x²+5x+25)

36.

Factor n³-27

(n-3)(n²+9)

(n+3)(n²-9)

(n+3)(n²-3x+9)

(n-3)(n²+3x+9)

37.

Factor v³+1

(v+1)(v²-v+1)

(v-1)(v²+v+1)

(v-1)(v+1)

(v-1)(v²+1)

38.

Factor completely 8x⁴+x

(2x²+1)(4x²-2x+x)

x(2x+1)(4x²-2x+1)

(2x²+x)(4x²-2x+1)

(2x²+1)(4x²-2x)

39.

Factor 343m³-64n³

(7m-4n)(49m²+28mn+16n²)

(7m+4n)(7m²-28mn+16n²)

(7m-4n)(49m²+16n²)

(7m+4n)(49m²-16n²)

40.

Factor completely 250x⁴+128x

(5x+4)(25x³-20x²+16x)

2(5x+4)(25x³-20x²+16x)

x(10x+8)(25x²-20x+16)

2x(5x+4)(25x²-20x+16)

41.

Factor completely 648a+1029a⁴

a(18+21a)(36-42a+49a²)

a(18+21a)(36+42a+49a²)

3a(6+7a)(36+42a+49a²)

3a(6+7a)(36-42a+49a²)

42.

If the discriminant is positive, then the solution will be

one real solution

two real solutions

two non-real solutions

all real numbers

43.

If the discriminant is negative, then the solution will be

one real solution

two real solutions

two non-real solutions

all real numbers

44.

Determine the value of the discriminant

x² + 7x + 13=0

101

-101

-3

45.

Describe the number and type solutions for the following:

x² + 7x + 13

2 real solutions

2 non-real solutions

1 real solution

1 non-real solution

46.

For the function below, what is the discriminant?

___________

x² + 8x + 16 = 0

-4

47.

For the function below, how many solutions are there?

___________

x² + 8x + 16 = 0

2 real solutions

2 non-real solutions

1 real solution

No solutions

48.

What is the discriminant of 6x² − 2x − 3 = 0

-68

none of these

49.

How many solutions?

6x² − 2x − 3 = 0

2 real

2 non-real

1 real

1 non-real

50.

What is the discriminant of -2x² - x - 1 = 0

-7

none of these

51.

How many solutions?

-2x² - x - 1 = 0

2 real

2 non-real

1 real

all real numbers

52.

Solve. x² = √36

x = ± 6

x = 6

x = ±√6

x = 6i

53.

Solve. x² = √-36

x = ± 6

x = 6i

x = ± 6i

x = i√6

54.

Solve. x² = √16

x = ± 2

x = ± 4

x = 4i

x = 8

55.

Solve.
x² = √-100

x = 10i

x = ± 10i

x = ±10

x = √10

56.

Solve. x² = √-40

x = 4i√10

x = ± 2√10

x = ± 2i√10

x = ± 10i√2

57.

Solve. x² = √-90

x = 3√10

x = 9i√10

x = ± 3√10

x = ± 3i√10

58.

Solve.
2x² + 3 = 8

x = ± (√5)/2

x = ± (√10)/2

x = ± 2.5

x = ± (√5)/10

59.

Solve.
3x² + 2 = 12

x = ± (i√30)/3

x = ± √10

x = ± (√30)/3

x = ± (i√13)/3

60.

Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. What was the maximum height the rocket reached?

25 feet

45 feet

65 feet

85 feet

61.

Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = –16t²+ 16t + 480, where t is the time in seconds and h is the height in feet. How long does it take Jason to hit the water?

-16 seconds

-5 seconds

0 seconds

6 seconds

62.

The path a baseball takes after it has been hit is modeled by the graph. What are the zeros in the quadratic function?

0 and 144

3 and 144

0 and 6

144 and 6

63.

The path a baseball takes after it has been hit is modeled by the graph. What is the vertex of the quadratic equation?

the starting point

the ending point

the minimum point

the maximum point

64.

What should you do first in solving this equation?
x² + 6x - 13 = 3

Get factored form

Write down: a=1, b=6, c=-13

Make it equal 0 by subtracting 3 on each side

Type it all in a calculator.

65.

36 feet

1.12 seconds

10.06 feet

5.61 seconds

Reset

Cycle 5 Test Review

Total questions: 65

Worksheet time: 2hrs 23mins

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