Free Printable 3RD NINE WEEKS EXAM 1-3

1.

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

a)

horizontal shift right 5 units

b)

horizontal shift left 5 units

c)

vertical shift up 5 units

d)

vertical shift down 5 units

2.

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

a)

horizontal shift left 7 units

b)

horizontal shift right 7 units

c)

vertical shift up 7 units

d)

vertical shift down 7 units

3.

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

a)

Vertical stretch by a factor of 5

b)

Vertical shrink/compress by a factor of 5

c)

Reflect over x-axis

d)

Vertical shift up 5 units

4.

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

a)

Vertical Stretch by a factor of 2 and vertical shift up 4 units

b)

Vertical Shrink/Compress by a factor 2 and vertical shift up 4

c)

Vertical Stretch by a factor of 2 and horizontal shift left 4 units

d)

Vertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units

5.

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

a)

g(x)=(x+3)²

b)

g(x)=(x-3)²

c)

g(x)=x²+3

d)

g(x)=x²-2

6.

Which of the following quadratic functions has the WIDEST graph?

a)

f(x)= -3x²

b)

h(x)= 2x²

c)

g(x)= ¼x²

d)

p(x)= 4x²

7.

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

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

8.

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)

9.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

10.

Does the graph of this equation open up or down?

f(x) = -(x + 3)² - 5

a)

up

b)

down

11.

Identify A, B, and C if y=3x²-8+5x

a)

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

b)

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

c)

A=3x², B=5x, C=-8

d)

A=3x² , B=-8, C=5x

12.

Does the following graph have a maximum or minimum.

a)

Maximum

b)

Minimum

13.

What is the vertex?

a)

(5,2)

b)

(2,5)

c)

(-2,5)

d)

(-5,2)

14.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

15.

What is the vertex of the function
f(x) = -x²+8x-10?

a)

(4,6)

b)

(4,38)

c)

(-4, -10)

d)

(8, -10)

16.

Find the vertex of the quadratic function: y = 4x²+ 24x + 5

a)

(−3, −31)

b)

(3, 113)

c)

(−3, −76)

d)

(3, 5)

17.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

18.

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

a)

-a

b)

-b/a

c)

b/2a

d)

-b/2a

19.

What is the y intercept for the equation:
y = -8x² + 3x - 7

a)

(0, -8)

b)

(0, 3)

c)

(-8, -7)

d)

(0, -7)

20.

What are the coordinates of the y-intercept?

a)

(-3, 0)

b)

(0, -3)

c)

(2, 1)

d)

y=-3

21.

The graph of a quadratic function is shaped like a U, but it can be upside down.

a)

True

b)

False

22.

The graph of a quadratic function is called __________ .

a)

a vertex

b)

an ellipse

c)

a parabola

d)

the axis of symmetry

23.

$f\left(x\right)\ =\ ax^2\ +\ bx\ +c\$ is the __________ form of the quadratic function.

a)

Factored

b)

Standard

c)

Vertex

d)

None of the above

24.

In the quadratic expression, $f\left(x\right)\ =\ ax^2\ +\ bx\ +\ c$ , the quadratic term of the function is

a)

bx

b)

undefined

c)

c

d)

all of them

25.

In the quadratic expression, $f\left(x\right)\ =\ ax^2\ +\ bx\ +\ c$ , the values a, b, and c are

a)

coefficients

b)

variables

c)

quadratic terms

d)

none of the above

26.

In the quadratic expression, $f\left(x\right)\ =\ ax^2\ +\ bx\ +\ c$ , "c" represents the:

a)

Axis of symmetry

b)

vertex

c)

y-intercept

d)

x-intercept

27.

In the quadratic expression, $f\left(x\right)\ =\ -3x^2\ +\ 12x\ +\ 4$ , what is the y-intercept?

a)

y = -4

b)

y = -2

c)

y = 2

d)

y = 4

28.

Does the parabola from the quadratic expression, $f\left(x\right)\ =\ -ax^2\ +\ bx\ +\ c$ , open upwards or downwards?

a)

upwards because "a" is negative

b)

upwards because "a" is positive

c)

downwards because "a" is negative

d)

downwards because "a" opens positive

29.

Does the parabola from quadratic expression, $f\left(x\right)\ =\ ax^2\ +\ bx\ +\ c$ , have a maximum or minimum point?

a)

minimum because it opens upwards

b)

minimum because it opens downwards

c)

maximum because it opens upwards

d)

maximum because it opens downwards

30.

What are the values of a, b, and c in the following quadratic equation:

y = 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

31.

What is the green dashed line called?

a)

the roots or x-intercepts

b)

a parabola

c)

the axis of symmetry

d)

the x axis

32.

In the quadratic expression, $f\left(x\right)\ =\ ax^2\ +\ bx\ +\ c$ , the formula for the axis of symmetry is:

a)

x = $ax^2$

b)

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

c)

x = f(x)

d)

x = c

33.

What is the axis of symmetry of the following expression?

f(x) = x²- 4x + 5.

a)

x = 2

b)

x = -2

c)

x = 4

d)

x = -4

34.

Find the axis of symmetry in the following equation:

y = 3x² + 18x + 6

a)

x = 3

b)

x = -2

c)

x = 6

d)

x = -3

35.

Find the axis of symmetry in the following equation:

y = 2x² + 2x + 2

a)

x = 0.5

b)

x = -0.5

c)

x = 1

d)

x = -1

36.

What is the green dot on the parabola called?

a)

vertex

b)

root

c)

dot

d)

minimum value

37.

Find the coordinates of the vertex (x, y) from the expression: y = 2x² + 4x - 3

a)

(-1,-5)

b)

(1,-5)

c)

(-1,5)

d)

(1,5)

38.

Find the coordinates of the vertex (x, y) from the expression:

y = 2x² + 4x + 6

a)

(-1,-4)

b)

(1,-4)

c)

(-1,4)

d)

(1,4)

39.

What is the vertex of this parabola?

a)

(5, 3)

b)

(3, -1)

c)

(-1,4)

d)

(-1,-5)

40.

The vertex of this graph is a maximum.

a)

True

b)

False

41.

Find the quadratic function passing through the points (0, -3), (1, 2), and (2, -1).

a)

y = - x² + 2x - 3

b)

y = x² - 2x + 3

c)

y = x² - 3

d)

y = - 4x² +9x - 3

42.

Y = ax² + bx + c is called the ______________ form of a quadratic equation.

a)

Vertex

b)

Intercept

c)

Standard

d)

Usual

43.

Determine what the question is looking for:

Jack is throwing a baseball. What is the highest in the air the ball will get?

a)

y-intercept

b)

vertex

c)

plug in a value for x

d)

x-intercept

44.

If each mark on the x-axis represents one second, when did the object reach the ground?

a)

2.5 seconds

b)

6 seconds

c)

5.5 seconds

d)

5 seconds

45.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the height of the cliff?

a)

1.094 ft

b)

174.141 ft

c)

155 ft

d)

4.393 ft

e)

None of the above

46.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. When does the rock hit the ground?

a)

1.094 seconds

b)

174.141 seconds

c)

155 seconds

d)

4.393 seconds

e)

None of the above

47.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the maximum height the rock reaches ?

a)

1.094 ft

b)

174.141 ft

c)

155 ft

d)

4.393 ft

e)

None of the above

48.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. How long does it take the rock to reach its maximum height?

a)

1.094 seconds

b)

174.141 seconds

c)

155 seconds

d)

4.393 seconds

e)

None of the above

49.

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. How long did it take the rocket to reach its maximum height?

a)

1 second

b)

5 seconds

c)

7 seconds

d)

11 seconds

50.

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?

a)

25 feet

b)

45 feet

c)

65 feet

d)

85 feet

51.

A projectile bottle rocket is launched in the air. What is the highest altitude of the projectile?

a)

7 ft

b)

500 ft

c)

200 ft

d)

350 ft

52.

A projectile bottle rocket is launched in the air. How long does it take the projectile to reach the ground?

a)

5.2 seconds

b)

6.8 seconds

c)

7 seconds

d)

3 seconds

53.

A projectile bottle rocket is launched in the air. From what height was the bottle rocket launched?

a)

200 feet

b)

6.8 feet

c)

3 feet

d)

50 feet

54.

A projectile bottle rocket is launched in the air. How long did it take the bottle rocket to reach its maximum altitude?

a)

3 seconds

b)

6.8 seconds

c)

50 seconds

d)

200 seconds

55.

A toy rocket is launched from the top of a 48-foot hill. The rocket's height, h(x), is modeled by the

equation h(x) = -16x² + 32x +48 after x seconds. How high was the rocket at 2 seconds?

a)

3

b)

32

c)

48

d)

64

e)

100

56.

$x^2+7x+12$

a)

(x + 3)(x + 4)

b)

(x + 6)(x + 2)

c)

(x - 3)(x - 4)

d)

(x + 1)(x + 12)

57.

$x^2+6x-27$

a)

(x - 9)(x + 3)

b)

(x + 9)(x - 3)

c)

(x + 3)(x + 3)

d)

(x + 9)(x + 3)

58.

$2x^2-15x+7$

a)

(2x + 1)(x - 7)

b)

(2x + 7)(x - 1)

c)

(2x + 1)(x + 7)

d)

(2x - 1)(x - 7)

59.

$5x^2-13x-6$

a)

(5x + 2)(x - 3)

b)

(5x - 2)(x + 3)

c)

(5x + 1)(x - 6)

d)

(x + 3)(5x + 2)

60.

$3x^2+22x-16$

a)

(3x + 2)(x + 8)

b)

(3x - 2)(x + 8)

c)

(3x - 4)(x + 4)

d)

(3x - 2)(x - 8)

61.

$x^2-\ 7x\ -18$

a)

(x + 9)(x + 2)

b)

(x - 9)(x - 2)

c)

(x - 9)(x + 2)

d)

(x + 9)(x - 2)

62.

$6x^2+11x+4$

a)

(6x + 1)(x + 4)

b)

(3x - 4)(2x - 1)

c)

(6x + 2)(x + 2)

d)

(3x + 4)(2x + 1)

63.

$x^2-20x+64$

a)

(x - 4)(x - 16)

b)

(x + 4)(x + 16)

c)

(x - 8)(x - 8)

d)

(x + 32)(x - 2)

64.

$x^2+12x-45$

a)

(x - 15)(x + 3)

b)

(x - 15)(x - 3)

c)

(x + 9)(x - 5)

d)

(x + 15)(x - 3)

65.

$4x^2-21x-18$

a)

(4x - 3)(x + 6)

b)

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

c)

(4x + 3)(x - 6)

d)

(2x - 3)(2x + 6)

66.

$9x^2-6x-8$

a)

(3x - 4)(3x - 2)

b)

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

c)

(3x + 8)(3x - 1)

d)

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

67.

$8x^2-22x+5$

a)

(8x - 5)(x + 1)

b)

(4x - 1)(2x - 5)

c)

(4x + 5)(2x + 1)

d)

(8x - 1)(x - 1)

68.

x² − 7x − 18

a)

(x − 9)(x + 2)

b)

(x + 9)(x + 2)

c)

(x − 9)(x - 2)

d)

(x − 9)(x - 2)

69.

p² − 5p − 14

a)

( p + 2)( p + 7)

b)

( p + 2)( p − 7)

c)

( p - 2)( p − 7)

d)

( p - 2)( p + 7)

70.

m² − 9m + 8

a)

(m + 1)(m − 8)

b)

(m − 1)(m + 8)

c)

(m − 1)(m − 8)

d)

(m + 1)(m + 8)

71.

x² − 16x + 63

a)

(x + 9)(x + 7)

b)

(x − 9)(x + 7)

c)

(x + 9)(x − 7)

d)

(x − 9)(x − 7)

72.

7x² − 31x − 20

a)

(7x + 4)(x − 5)

b)

(7x - 4)(x − 5)

c)

(7x + 4)(x + 5)

d)

(7x - 4)(x − 5)

73.

7k² + 9k

a)

k(7k - 9)

b)

k(7k + 9)

c)

7k(k + 9)

d)

(k+3)(7k + 3)

74.

7x² − 45x − 28

a)

7(x + 4)(x − 7)

b)

(x + 4)(7x - 7)

c)

(7x + 4)(x − 7)

d)

(7x - 4)(x + 7)

75.

2b² + 17b + 21

a)

(2b + 7)(b + 3)

b)

(2b + 3)(b - 7)

c)

2(b + 3)(b + 7)

d)

(2b + 3)(b + 7)

76.

5p² − p − 18

a)

5(p + 9)( p − 2)

b)

(p + 9)( 5p − 2)

c)

(5p - 9)( p + 2)

d)

(5p + 9)( p − 2)

77.

28n⁴ + 16n³ − 80n²

a)

4n² (7n + 10)(n - 2)

b)

(28n² − 10)(n² + 2)

c)

4n² (7n − 10)(n + 2)

d)

(7n − 10)(4n² + 2)

78.

3b³ − 5b² + 2b

a)

b(3b − 2)(b − 1)

b)

(3b² − 2)(b − 1)

c)

(3b − 2)(b² − 1)

d)

b(3b + 2 )(b + 1)

79.

7x² − 32x − 60

a)

(7x + 10)(x − 6)

b)

7(x + 10)(x − 6)

c)

(7x - 10)(x − 6)

d)

(7x - 10)(x + 6)

80.

30n²b − 87nb + 30b

a)

(6nb − 5)(5n − 2)

b)

3n(2b − 5)(5n − 2)

c)

3b(2n − 5)(5n + 2)

d)

3b(2n − 5)(5n − 2)

81.

9r² − 5r − 10

a)

(9r + 2)(r - 5)

b)

(3r + 2)(3r - 5)

c)

9(r + 2)(r - 5)

d)

not factorable

82.

9p²r + 73pr + 70r

a)

r(p + 7)(9p + 10)

b)

(rp + 7)(9p + 10)

c)

r(3p + 7)(3p + 10)

d)

p(r + 7)(9r + 10)

83.

9x² + 7x − 56

a)

(3x + 7)(3x - 8)

b)

9(x + 7)(x - 8)

c)

(3x - 7)(3x - 8)

d)

not factorable

84.

10m² + 89m − 9

a)

(m + 9)(10m + 1)

b)

(m + 9)(10m − 1)

c)

(m - 9)(10m − 1)

d)

not factorable

85.

4x³ + 43x² + 30x

a)

x(x + 10)(4x + 3)

b)

(x² + 10)(4x + 3)

c)

x(x + 3)(4x + 10)

d)

(x + 10)(4x + 3)

86.

Factor: $7k^2+9k$

a)

$k\left(7+9\right)$

b)

$7k\left(k+9\right)$

c)

$k\left(7k+9\right)$

d)

$k^{2\left(7+9\right)}$

87.

Factor $p^2-5p-14$

a)

$\left(p+7\right)\left(p-2\right)$

b)

$\left(p+2\right)\left(p-7\right)$

88.

Factor $m^2-9m+8$

a)

$\left(m-1\right)\left(m-8\right)$

b)

$\left(m+8\right)\left(m-1\right)$

89.

Factor $2b^2+17b+21$

a)

$\left(2b+7\right)\left(b-3\right)$

b)

$\left(b-7\right)\left(2b-3\right)$

c)

$\left(2b+3\right)\left(b+7\right)$

d)

$\left(2b-7\right)\left(b-3\right)$

90.

Factor $28n^4+16n^3-80n^2$

a)

$4n^2\left(7n^2+4n-20\right)$

b)

$\left(7n-10\right)\left(n+2\right)$

c)

$\left(28n^3-40n^2\right)\left(n+2\right)$

d)

$4n^2\left(7n-10\right)\left(n+2\right)$

91.

Factor $5p^2-p-18$

a)

$\left(5p-9\right)\left(p+2\right)$

b)

$\left(5p+9\right)\left(p-2\right)$

c)

$\left(p+9\right)\left(9p-5\right)$

d)

$\left(9p+5\right)\left(2p-1\right)$

92.

Factor:

x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

93.

What are the factors of x²+3x-40

a)

(x+10)(x-4)

b)

(x+8)(x-5)

c)

(x+20)(x-2)

d)

(x+1)(x-3)

94.

Find the factors of 5x²+20x+20

a)

5(x+2)(x+2)

b)

5(x-2)(x-2)

c)

5(x+2)(x-2)

d)

(5x+2)(x+2)

95.

Factor:

5x³- 7x²

a)

x²(5x - 7)

b)

x(5x²- 7x)

c)

x³(5 - 7x)

d)

Prime

96.

Factor: 25x²- 9

a)

(5x + 3)(5x - 3)

b)

(x + 5)(x - 3)

c)

(x - 3)(x + 5)

d)

(5x + 3)(3x + 5)

97.

Factor d² - 10d + 25

a)

(d + 5) (d - 5)

b)

(d - 15) (d + 10)

c)

(d + 5) (d - 20)

d)

(d - 5) (d - 5)

98.

x² − 7x − 18

a)

(x − 9)(x + 2)

b)

(x + 9)(x + 2)

c)

(x − 9)(x - 2)

d)

(x − 9)(x - 2)

99.

p² − 5p − 14

a)

( p + 2)( p + 7)

b)

( p + 2)( p − 7)

c)

( p - 2)( p − 7)

d)

( p - 2)( p + 7)

100.

m² − 9m + 8

a)

(m + 1)(m − 8)

b)

(m − 1)(m + 8)

c)

(m − 1)(m − 8)

d)

(m + 1)(m + 8)

101.

x² − 16x + 63

a)

(x + 9)(x + 7)

b)

(x − 9)(x + 7)

c)

(x + 9)(x − 7)

d)

(x − 9)(x − 7)

102.

2b² + 17b + 21

a)

(2b + 7)(b + 3)

b)

(2b + 3)(b - 7)

c)

2(b + 3)(b + 7)

d)

(2b + 3)(b + 7)

103.

5p² − p − 18

a)

5(p + 9)( p − 2)

b)

(p + 9)( 5p − 2)

c)

(5p - 9)( p + 2)

d)

(5p + 9)( p − 2)

104.

10m² + 89m − 9

a)

(m + 9)(10m + 1)

b)

(m + 9)(10m − 1)

c)

(m - 9)(10m − 1)

d)

not factorable

105.

Factor completely.
$x^2-16$

a)

(x + 8)(x - 8)

b)

(x + 4)(x - 4)

c)

(x + 6)(x - 10)

d)

(x + 4)(x + 4)

106.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

107.

Solve the equation by factoring.

a)

x = {1}

b)

x = {-1}

c)

x = { }

d)

no solution

108.

Solve the equation by factoring.

a)

x = {-5,-3}

b)

x = {5,-3}

c)

x = {-5,3}

d)

x = {5,3}

109.

How many solutions can a quadratic have?

a)

1 solution

b)

3 solutions

c)

0 solutions

d)

2 solutions

110.

What can the roots to a quadratic equation be called?

a)

zeros

b)

solutions

c)

x-intercepts

d)

none of the choices

111.

What is the quadratic formula?

a)

b)

c)

d)

112.

What is the axis of symmetry formula?

a)

y = mx+b

b)

y = ax²+bx+c

c)

b²- 4ac

d)

x = -b/2a

113.

Solve the equation using the quadratic formula.

x² + 7x = x - 10

a)

-6/2 + √4

b)

-6/2 - √4

c)

no solution

d)

∅

114.

Solve the equation using the quadratic formula.

4x² +9x = 12x

a)

x = {0, 3/4}

b)

x = {0, -3/4}

c)

x = {0, 4/3}

d)

no solution

115.

Use the discriminant to find the number of solutions for the following equation.

y = x² +10x + 25

a)

2 solutions

b)

1 solution

c)

0 solutions

116.

Use the discriminant to find the number of solutions for the following equation.

y = -3x²+5x - 8

a)

2 solutions

b)

1 solution

c)

0 solutions

117.

Use the discriminant to find the number of solutions for the following equation.

y = 4x² - 9

a)

2 solutions

b)

1 solution

c)

0 solutions

118.

Which value is the vertex?

a)

(-4, 0)

b)

(-1, -9)

c)

(0, -8)

d)

(2, 0)

119.

Which value is the y-intercept?

a)

(-4, 0)

b)

(-1, -9)

c)

(0, -8)

d)

(2, 0)

120.

What are the zeros of this graph?

a)

x = {-4, 2}

b)

(-4, 0 ) and (2, 0)

c)

x = {-1, 0}

d)

(-1, 9 ) and (0, -8)

121.

Does this graph have a maximum or a minimum?

a)

maximum

b)

minimum

c)

I am not sure.

d)

neither

122.

Does this graph have a maximum or a minimum?

a)

maximum

b)

minimum

c)

I am not sure.

d)

neither

123.

Does this graph have any roots?

a)

yes

b)

no

c)

I am not sure.

124.

Does this graph have a y-intercept?

a)

yes

b)

no

c)

I am not sure.

125.

What is the equation for standard form?

a)

y = x²+ bx + c

b)

y = ax²+ bx + c

c)

y = mx + b

d)

Ax + By = C

126.

What is the standard form formula?

a)

y=mx+b

b)

y=ax²+bx+c

c)

y=a(x-h)2+k

127.

What is the vertex form formula?

a)

y=ax²+bx+c

b)

y=mx+b

c)

y=a(x-h)2+k

128.

Is the graph shown above a max or min?

a)

Maximum

b)

Minimum

129.

What is the domain of the graph shown above.

a)

x=19

b)

all real numbers

c)

y=3

d)

Maximum

130.

What are the zeros of the graph shown above?

a)

2 and 6

b)

4 and 2

c)

6 and 9

d)

5 and 1

131.

What is a axis of symmetry?

a)

all real numbers

b)

y=5

c)

the line that divides the graph in equal halves

d)

y=mx+b

132.

Is the graph shown above a max or min?

a)

Minimum

b)

Maximum

133.

What is the y-intercept of the graph shown above?

a)

all real numbers

b)

(0,6)

c)

(0,2)

d)

(0,-6)

134.

What is the vertex of the graph shown above?

a)

(7,6)

b)

(-1,2)

c)

(2,-1)

d)

(5,0)

135.

Graph the following equation:

y=x²-2x-3

a)

b)

c)

d)

136.

a)

36

b)

4

c)

6

d)

9

137.

a)

4

b)

16

c)

36

d)

64

138.

a)

4

b)

-4

c)

16

d)

-16

139.

a)

b)

c)

d)

140.

a)

2

b)

4

c)

8

d)

16

141.

a)

b)

c)

d)

142.

a)

$\frac{9}{2}$

b)

$\frac{3}{2}$

c)

$\left(\frac{3}{2}\right)^2$

d)

$\left(\frac{9}{2}\right)^2$

143.

Complete the square for the equation:

$x^2+6x-4=0$

a)

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

b)

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

c)

$\left(x+3\right)^2=13$

d)

$\left(x-3\right)^2=13$

144.

Complete the square for the equation:

$x^2-10x+7=0$

a)

$\left(x-5\right)^2=18$

b)

$\left(x+5\right)^2=18$

c)

$\left(x-5\right)^2=-7$

d)

$\left(x+5\right)^2=-7$

145.

Complete the square for the equation:

$x^2-24x+23=0$

a)

$\left(x+12\right)^2=121$

b)

$\left(x-12\right)^2=121$

c)

$\left(x+12\right)^2=144$

d)

$\left(x-12\right)^2=144$

146.

Create a Perfect Square Trinomial
x²+ 6x + ____

a)

6

b)

-6

c)

9

d)

-9

147.

Create a Perfect Square Trinomial
x²+ 22x + ____

a)

11

b)

- 11

c)

121

d)

-121

148.

Create a Perfect Square Trinomial
x²+ 18x + ____

a)

81

b)

-18

c)

9

d)

-9

149.

Create a Perfect Square Trinomial
x²- 30x + ____

a)

-15

b)

225

c)

30

d)

25

150.

Create a Perfect Square Trinomial
x²- 4x + ____

a)

2

b)

-2

c)

4

d)

16

151.

Create a Perfect Square Trinomial
x²- 2x + ____

a)

2

b)

4

c)

-2

d)

1

152.

Complete the Square and solve the equation.
r² - 4r = 30

a)

2 ± √ 34

b)

± √ 34

c)

34

d)

± 2

153.

Complete the Square and solve the equation.
m² - 16m = -59

a)

8

b)

8 ± √ 5

c)

± √ 13

d)

-8 ± √ 5

154.

Complete the Square and solve the equation.
a² - 2a - 35 = 0

a)

1 ± √ 6

b)

-7, 7

c)

-5, 7

d)

35, 37

155.

Complete the Square and solve the equation.
m² + 12m + 19 = 0

a)

- 6 ± √ - 19

b)

6 ± √ 19

c)

- 23, - 11

d)

- 6 ± √ 17

156.

Solve by completing the square.
$x^2-8x-20=0$

a)

$x=\left\{-2,\ 10\right\}$

b)

$x=\left\{-10,\ 2\right\}$

c)

$x=\left\{-20,\ -8\right\}$

d)

$x=\left\{8,\ 20\right\}$

157.

Solve by completing the square.
$x^2-12x+20=0$

a)

$x=\left\{2,\ 10\right\}$

b)

$x=\left\{-10,\ -2\right\}$

c)

$x=\left\{-12,\ 20\right\}$

d)

$x=\left\{12,\ 20\right\}$

158.

Solve by completing the square.
$x^2-4x-20=0$

a)

$x=\left\{\pm6\sqrt{2}-2\right\}$

b)

$x=\left\{\pm6\sqrt{2}+2\right\}$

c)

$x=\left\{\pm2\sqrt{6}+2\right\}$

d)

$x=\left\{\pm2\sqrt{6}-2\right\}$

159.

Solve by completing the square.
$x^2-6x-27=0$

a)

$x=\left\{-9,\ -3\right\}$

b)

$x=\left\{-3,\ 9\right\}$

c)

$x=\left\{-9,\ 3\right\}$

d)

$x=\left\{3,\ 9\right\}$

160.

Solve by completing the square.
$x^2-14x-15=0$

a)

$x=\left\{1,\ 15\right\}$

b)

$x=\left\{-15,\ -1\right\}$

c)

$x=\left\{-15,\ 1\right\}$

d)

$x=\left\{-1,\ 15\right\}$

161.

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

162.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

-4.9 and -0.1

b)

-8.54 and 8.54

c)

-0.45 and 3.55

d)

-6.77 and 1.77

163.

Solve 2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

164.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

165.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

166.

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

a)

16

b)

-8

c)

8

d)

-24

167.

Solve 8x² - 6x + 1 = 0

a)

No Solution

b)

0 or 1

c)

-0.5 or -0.25

d)

0.25 or 0.5

168.

Use the quadratic formula to find the solutions for
y = 2x² - 9x + 5

a)

-8.14 and -6.14

b)

4.07 and 3.07

c)

3.85 and 0.65

d)

ZERO solutions

169.

Factor: x² – 5x – 24

a)

(x - 5)(x + 19)

b)

(x - 8)(x + 3)

c)

(x - 3)(x + 8)

d)

(x - 19)(x + 5)

170.

The quadratic equation can be used to solve quadratic equations that cannot be factored.

a)

True

b)

False

171.

a)

A

b)

B

c)

C

d)

D

172.

a)

A

b)

B

c)

C

d)

D

173.

a)

A

b)

B

c)

C

d)

D

174.

a)

A

b)

B

c)

C

d)

D

175.

a)

A

b)

B

c)

C

d)

D

176.

a)

A

b)

B

c)

C

d)

D

177.

a)

A

b)

B

c)

C

d)

D

178.

Choose the correct answer for the operation pictured.

a)

7-13i

b)

7-i

c)

1-13i

d)

1-i

179.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

180.

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

a)

-3-7i

b)

-3-3i

c)

3-3i

d)

9-7i

181.

Given the system of equations:
y = x² + 3x - 5
y = x + 3
When x = 2, what is the value of y?

a)

6

b)

-1

c)

5

d)

-5

182.

Find the solution:
y = x² - 4x + 6
y = x + 2

a)

(3, 1) and (6, 4)

b)

(-1, 1) and (4, 2)

c)

(1, 3) and (4, 6)

d)

(1, 4) and (3, 6)

183.

The system of a linear function and a quadratic function may have 0, 1, or 2 solutions.

a)

True

b)

False

c)

Cannot be determined

d)

"Nobody cares, Ms. Malcolm"

184.

The system of a linear and a quadratic function can have the following number of solutions, EXCEPT

a)

No solution

b)

1 solution

c)

2 solutions

d)

3RD NINE WEEKS EXAM 1-3

Total questions: 185

Worksheet time: 6hrs 4mins

Similar Resources on Wayground