Free Printable 5.1-5.12 Spiral review

1.

Solve $x^2\ =\ 36$

a)

x = 18

b)

x = 6

c)

$x\ =\pm6$

d)

$x\ =\ \pm18$

2.

How many solutions does x² = 25 have?

a)

0

b)

1

c)

2

d)

3

3.

Solve x² = 81

a)

x = 9

b)

x = -9

c)

x = 9 or x = -9

d)

x = 40.5

4.

Solve x² - 1 = 0

a)

x = 1 or x = -1

b)

x = 1/2 or x = -1/2

c)

No solution

d)

x = 2

5.

$2x^2$ = 98

a)

$x\ =\pm49$

b)

$x\ =\pm7$

c)

$x=\pm25$

d)

$x\ =\ \pm4$

6.

$2x^2$ = 98

a)

$x\ =\pm49$

b)

$x\ =\pm7$

c)

$x=\pm25$

d)

$x\ =\ \pm4$

7.

Solve 2(x + 1)² = 32

a)

x = 4 or x = -4

b)

x = 29 or x = -31

c)

x = 15 or x = -17

d)

x = 3 or x = -5

8.

Solve (x + 4)² = 1

a)

x = 1 or x = -1

b)

x = -5 or x = -3

c)

x = 5 or x = -5

d)

No solutions

9.

x²- 10 = 71

a)

$x\ =\pm\sqrt{71}$

b)

$x\ =\ 10\ \pm\sqrt{71}$

c)

$x\ =\ \pm81$

d)

$x\ =\ \pm9$

10.

What are the x intercepts of y = x² - 4

a)

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

b)

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

c)

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

d)

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

11.

What are the x - intercepts of
$y\ =2x^2\ -\ 72$

a)

(16, 0) and (-16, 0)

b)

$\left(3\sqrt{2},\ 0\right)\ and\ \left(-3\sqrt{2},\ 0\right)$

c)

(36, 0) and (-36, 0)

d)

(6, 0) and (-6, 0)

12.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

13.

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

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

14.

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

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

15.

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

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

16.

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

a)

76

b)

-7

c)

9

d)

none of these

17.

What is the discriminant for 5x² + x − 2 = 0

a)

-39

b)

42

c)

-41

d)

none of these

18.

If the discriminant is positive, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

one imaginary solution

19.

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

20.

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

21.

Solve 2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

22.

Solve 8x² - 6x + 1 = 0

a)

No Solution

b)

0 or 1

c)

-0.5 or -0.25

d)

0.25 or 0.5

23.

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

24.

If the discriminant is positive but NOT a perfect square, then the quadratic has:

a)

1 Rational Solution

b)

2 Irrational Solutions

c)

2 Rational Solutions

d)

2 Complex Solutions

25.

If the discriminant is negative, then the quadratic has:

a)

1 Rational Solution

b)

2 Rational Solutions

c)

2 Irrational Solutions

d)

2 Complex Solutions

26.

What should you do first in solving this equation?

x² + 6x - 13 = 3

a)

Factor

b)

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

c)

Subtract 3 from both sides.

d)

Add 3 to both sides.

27.

Solve using the quadratic formula...

9x² = 4 + 7x

a)

b)

c)

d)

No solution

28.

Does this graph have a maximum or minimum?

a)

Minimum

b)

Maximum

29.

What is the axis of symmetry for this graph?

a)

y=2

b)

x=2

c)

x=0

d)

y=0

30.

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :

h(t) = -16t² + 40t + 10

How many seconds does it take the ball to reach its maximum height?

a)

1.25 seconds

b)

1.4 seconds

c)

2.5 seconds

d)

2 seconds

31.

Does the equation open or or down?
Y = -3x² +7x - 2

a)

up

b)

down

32.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

33.

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:

p= -15x² +600x +60

What is the maximum profit you can make from selling tickets?

a)

$6060

b)

$20

c)

$600

d)

$10,250

34.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t² + 64t + 80

What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

35.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

36.

Is this point a max or min?

a)

max

b)

min

37.

Which function has a maximum at (2, 0)?

a)

b)

c)

d)

38.

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?

a)

.25 ft

b)

24 ft

c)

25 ft

d)

8 ft

39.

What is the y-intercept of the quadratic function?

a)

2

b)

4

c)

-2

d)

0

40.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

41.

Which value determines what the y-intercept is? $y=ax^2+bx+c$

a)

y

b)

a

c)

b

d)

c

42.

Name the x-intercept(s)?

a)

(0, 0)

b)

(2, 4)

c)

(0, 0) and (0, 4)

d)

(0, 0) and (4, 0)

43.

Which equation could possibly match the parabola?

a)

$y=x^2-4x-3$

b)

$y=-x^2-4x+3$

c)

$y=x^2+4x+3$

d)

$y=x^2+4x-3$

44.

The graph of the quadratic y = 7x²− 3 is:

a)

b)

c)

d)

45.

What is the domain of the function?

a)

0<h<80

b)

0≤h≤80

c)

0≤t≤4.5

d)

0<t<4.5

46.

What is the range of the function?

a)

0≤h≤3

b)

0≤h≤36

c)

h<3

d)

t≤36

47.

What is the domain of the graph?

a)

All real numbers

b)

To Infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

48.

What is the range of the graph?

a)

All real numbers

b)

To Infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

49.

Define X-intercept

a)

The highest or lowest point on the graph

b)

Where the parabola touches or intersects the x-axis

c)

Where the parabola touches or intersects the y-axis

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

50.

What are the roots of the function?

a)

3

b)

-6

c)

-1 and 3

d)

-6, -1, and -3

51.

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

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

52.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

all real numbers

53.

Find the x-intercepts of y=x².

a)

(0,0)(1,0)

b)

(-1,0)(1,0)

c)

(0,0)

d)

(-4,0)(4,0)

54.

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h = -5t² + 45

When is the ball at ground level?

a)

only at t = 0 seconds

b)

only at t = 3 seconds

c)

only at t = 9 seconds

d)

at both t = 0 seconds and t = 3 seconds

5.1-5.12 Spiral review

Total questions: 54

Worksheet time: 3hrs 35mins

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