Free Printable CPrep - Assessment - Unit 1

Worksheets

CPrep - Assessment - Unit 1 - Quadratics

Total questions: 68

Worksheet time: 4hrs 17mins

Name

Class

Date

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

x-intercept

roots

zeros

y-intercept

What is the y-intercept of the equation

y = 2x²+8x+3

(0,3)

(3,0)

(0,2)

y=8

Where is the AoS (Axis of Symmetry) for

y = -2x²+4x+2

x = 2

x = 1

x = -1

x = 4

Where is the AoS (Axis of Symmetry) for

y = 4x²+4

x = 0

x = 1

x = -1

x = 4

Find the vertex of the quadratic:
y = -2x² + 4x + 3

(0, 3)

(-1, 5)

(1, 5)

(1, -5)

What is the vertex of the graph?

(2, 4)

(3, -1)

(0, 8)

(4, 2)

Which equation below is a quadratic?

y=9x+5

y=3x²-6

y=5x³+6

x=3^x

How does the parabola open? y = 4x - x² - 1

down

left

right

Which answer choice describes y = -3x² +7x - 2 accurately?

opens up with a maximum

opens up with a minimum

opens down with a maximum

opens down with a minimum

10.

What is the vertex of y= x²- 8x + 14 ?

(2, 4)

(-4, -2)

(4, -2)

(-2, 4)

11.

What does

x=-b/2a find?

vertex

y-intercept

slope

axis of symmetry

12.

What is the vertex of the function

y = x² - 2x

(1, -2)

(1, -1)

(-2, 1)

(0, 0)

13.

What do we call the graph of a quadratic?

line

vertex

equation

parabola

14.

What are the x-intercepts of y = x² - 3x - 10?

(-3, 0) and (-10, 0)

(-5, 0) and (2, 0)

(5, 0) and (-2, 0)

(5, 2)

15.

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

-8

-24

16.

What is the axis of symmetry of:y=2x²+8x+9

x = 2

x = -1

x = -2

x = 4

17.

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

-8

-24

18.

What is the equation for axis of symmetry?

y=3

x=3

x=5

x=1

19.

What are the green dots called?

axis of symmetry

vertex

parabola

roots or x-intercepts

20.

What is the green dot on the parabola called?

maximum

minumum

roots

zeros

21.

What is the y-intercept of the following funtion

f(x) = -2x² +3x - 7

(0, -2)

(0, 3)

(0, -7)

(0, 7)

22.

The standard form of a quadratic function is

ax² + bx + c

a(x - h)² + k

y - y₁= m(x - x₁)

Ax + By = C

23.

What is the domain of all quadratic functions

x ≥ 0

x ≤ 0

All real numbers

24.

How does the parabola open? y = (2 - x)²

down

left

right

25.

In order to graph a quadratic equation in standard form, the first two steps are to use the equation _____ to find the axis of symmetry, and then you can plug that value back into the equation to find the _____.

-b/2a, vertex

(x-h)^2, y-intercept

(x-r1), solution

ax^2, vertex

26.

Identify A, B, and C if y=3x²-8+5x

A=3, B=5, C=-8

A=3, B=-8, C=5

A=3x², B=5x, C=-8

A=3x² , B=-8, C=5x

27.

Does the function have a minimum/maximum/both/neither? y = 3x² + 2x + 4

minimum

maximum

both

neither

28.

.How many zeros does this parabola have?

29.

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing

True

False, because the solution and root are the same but the x-intercept and zero are different

False, because the x-intercept and root are the same but the zero and solution are different

False, they are all different

30.

Find the zeros.

0 and 4

0 and -4

-4

31.

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.

True

False, because the solution and root are the same but the x-intercept and zero are different

False, because the x-intercept and root are the same but the zero and solution are different

False, they are all different

32.

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

33.

Factor 6x²-27x

(6x+1)(x+3)

3x(2x-9)

6x(x-9)

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

34.

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

y-intercept

Zeros

x-axis

They don't have another name

35.

ax²+bx+c=0 is the standard form of a quadratic equation.

True

False

36.

The solutions of the quadratic equation
x²+2x-15=0 are

x = 3 or x = 5

x = 5 or x = -3

x = -5 or x = 3

x = -3 or x = -5

37.

The solutions of the quadratic equation
x²+12x+35=0 are

x = -5 or x = -7

x = 5 or x = 7

x = -35 or x = -1

x = -9 or x = -4

38.

Factor x²+ 6x + 9 and solve for x.

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

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

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

Not factorable

39.

m²-10m=0

m=0 and m=-10

m=1 and m=10

m=0 and m=10

m=1 and m=-10

40.

Solve by factoring:
10x² - 35 = 65x

x = 14 , x = - 1

x = 14 , x = 1

x = - 14 , x = - 1

41.

Solve by taking square roots:
x² + 8 = 80

x = ± 3√2

x = ± 2√3

notation

variable

42.

Solve:
x²- 25 = 0

x = 5, x = -5

x = -5

x = 5

Prime

43.

Solve:
36m² - 9 = 0
(Check for a GCF)

x = -3/6, x = 3/6

x = 1/2

x = 1/2, x = -1/2

Not Factorable

44.

Solve:
49n² - 25 = 0

Not Factorable

x = -5/3, x = 5/3

x = -5/7, x = 5/7

x = -7/5, x = 7/5

45.

Solve using square roots.

±72

±12

No real solution

46.

Multiply 2i(3-8i)

16-6i1

16+6i

47.

(1-3i)(2+5i)

22-i

16-i

17-i

48.

(7-5i)(7+5i)

74-1

49.

Simplify:
(10+ 15i) - (48 - 30i)

58 - 45i

58 - 15i

-38 - 15i

-38 + 45i

50.

Find the sum.
(5-2i) + (-7+8i)

-2+6i

12+6i

-35-16i²

-35 -16i

51.

Simplify:
3√-81

-27

3i√3

27i

52.

Simplify:
√-108

3i√6

3i√20

6i√3

20i√3

53.

-10

10i

-10i

54.

Simplify
√-25

-5i

-5

55.

What does i² = ?

-1

√-1

-√1

56.

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

-3-7i

-3-3i

3-3i

9-7i

57.

Simplify: √-64

-8i

-8

58.

x²= 100

-10

±10

±50

59.

4x²=100

±25

±5

60.

3x² - 6 = -9

±1

±i

±3

±3i

61.

62.

63.

64.

65.

66.

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

Yes

67.

Which inequality is shown?

y<2(x-6)²-5

y<2(x+6)²-5

y>2(x+6)²-5

y>2(x-6)²-5

68.

Which inequality is shown?

y < -5(x-2)(x-4)

y < -5(x+2)(x+4)

y > -5(x-2)(x-4)

y > -5(x+2)(x+4)

100 %

CPrep - Assessment - Unit 1 - Quadratics

Total questions: 68

Worksheet time: 4hrs 17mins

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