Free Printable Topic 9 Review

1.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

2.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

3.

How many solutions does this function have?

a)

two

b)

one

c)

all real numbers

d)

no real solutions

4.

What are the solutions to this function?

a)

x={-2,-1}

b)

x={-3,-1}

c)

x={-1,3}

d)

x={-1,-2}

5.

What is another word for solutions

a)

zeros

b)

roots

c)

x-intercepts

d)

y-intercepts

e)

vertex

6.

Find the vertex y = x² - 2x - 5

a)

V(-2, 10)

b)

V(-1, 15)

c)

V(1, -6)

d)

V(1, -12)

7.

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

8.

Find the axis of symmetry for
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

9.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

10.

Solve
x² + 7x + 12 = 0

a)

x = -2, x = -10

b)

x = -3, x = -4

c)

x = -4, x = -5

d)

x = -4, x = -6

11.

Solve
x² + 13x + 12 = 0

a)

x = -1, x = -12

b)

x = -1, x = -24

c)

x = -2, x = -6

d)

x = -2, x = -12

12.

Solve:
x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

13.

Solve
3x² + 5x - 12 = 0

a)

x = -4/3, x = 3

b)

x = 4/3, x = -3

c)

x = -1, x = 4

d)

x = 1, x = -4

14.

Solve
5x²- 28x + 32 = 0

a)

x = 10/3, x = -6

b)

x = 8, x = 4/5

c)

x = 8/5, x = 4

d)

x = 8/5, x = -7

15.

Solve
4x²- 25x + 25 = 0

a)

x = 5, x = -5

b)

x = -5, x = -5/4

c)

x = 5, x = 5/4

d)

x = -2, x = -1/9

16.

Solve for x

x² = 64

a)

x = 8, -8

b)

x = 32, -32

c)

x = 4, -4

d)

No real solution

17.

Solve for x

3x² - 27 = 0

a)

x = 4.9, -4.9

b)

x = 9, -9

c)

x = 3, -3

d)

No solution

18.

Solve using square roots.
k² - 6 = 43

a)

k = √37

b)

k = 37 or - 37

c)

k = 7, k = -7

d)

no solution

19.

Solve: $x^2+8=28$

a)

No solution

b)

$x=\pm4\sqrt{5}$

c)

$x=\pm6$

d)

$x=\pm2\sqrt{5}$

20.

Solve: $7x^2=-21$

a)

$x=\pm\sqrt{3}$

b)

No solution

c)

$x=\pm2\sqrt{7}$

d)

$x=\pm\sqrt{14}$

21.

3. Solve the equation
4x²- 25 = 0

a)

5/2, -5/2

b)

5/2, 5/2

c)

-5/2, -5/2

d)

-5/2, 5/2

22.

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

a)

Set the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add a² and 10a together

d)

Subtract the 21

23.

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

a)

square it

b)

divide it by 2 and square the result

c)

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

d)

divide it by 2 only

24.

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

a)

4

b)

2

c)

8

d)

20

25.

When do you use the plus or minus symbol?
±

a)

After taking the square root of both sides

b)

After adding the square to both sides

c)

After taking half of b

d)

After setting the equation equal to zero

26.

Write the following quadratic expression in completed square form...

x² + 6x = 5

a)

(x + 3)² = 5

b)

(x + 6)² = 9

c)

(x + 3)² = 14

d)

(x + 6)² = 14

27.

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

x² - 10x - 5 = 0

a)

x = -5 ± √30

b)

x = 5 ± √30

c)

x = 30 ± √5

d)

x = -30 ± √5

28.

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

x² + 6x - 3 = 0

a)

$-3\pm2\sqrt{3}$

b)

$3\pm2\sqrt{3}$

c)

$12\pm\sqrt{3}$

d)

$-12\pm\sqrt{3}$

29.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

30.

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

a)

Get factored form

b)

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

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

31.

Solve Using the Quadratic Formula
2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

32.

Solve by the Quadratic Formula:

$9u^2-11u+7=0$

a)

$\frac{-11\pm\sqrt{131}}{18}$

b)

$\frac{11\pm\sqrt{131}}{18}$

c)

$\frac{11\pm\sqrt{131}}{-18}$

d)

$\frac{11\pm i\sqrt{373}}{18}$

33.

If b²-4ac is positive, the quadratic equation has:

a)

Two real solutions that are different

b)

Two imaginary solutions that are different

c)

One real solution

d)

One imaginary solution

34.

If b²-4ac is negative, the quadratic equation has:

a)

Two real solutions that are different

b)

Two imaginary solutions that are different

c)

One real solution

d)

One imaginary solution

35.

If b²-4ac is 0, the quadratic equation has:

a)

Two real solutions that are different

b)

Two imaginary solutions that are different

c)

One real solution

d)

One imaginary solution

36.

What is the discriminant of the quadratic formula?

a)

b²-4a

b)

b²-4ac

c)

b-4ac

d)

b²-ac

37.

What is the discriminant and how many solutions would this quadratic have?

x² - 6x + 9 = 0

a)

0, No Solutions

b)

0, 1 Solution

c)

72, 2 Solutions

d)

-72, No Solution

38.

What is the discriminant and how many solutions would this quadratic have?

4x² + 6x - 4 = 0

a)

-28, No Solutions

b)

28, 2 Solutions

c)

100, 2 Solutions

d)

-100, No Solutions

39.

What is the discriminant of this equation?

3x² + 8x = 0

a)

64

b)

52

c)

9

d)

0

40.

What is the discriminant and how many solutions would this quadratic have?

3x² + 3x + 4 = -3

a)

-75, No Solutions

b)

-75, 2 Solutions

c)

-39, No Solutions

d)

-39, 1 Solution

41.

What is the discriminant and how many solutions would this quadratic have?

-3x² - 5x + 15 = 7

a)

205, 2 Solutions

b)

-71, No Solutions

c)

121, 2 Solutions

d)

121, 1 Solution

42.

1 What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

43.

Which is equivalent to √121p⁵r⁷s⁴?

a)

11prs √pr

b)

11p^2.5r^3.5s²√pr

c)

11p²r³s²√pr

d)

11p²r³s²

44.

Simplify:

a)

8x⁹

b)

8x³

c)

8x⁴√x

d)

8x³√x

45.

Simplify:
$\sqrt{x^2y^5}$

a)

$x\sqrt{y^5}$

b)

$xy^2\sqrt{y}$

c)

$xy^4\sqrt{y}$

d)

$x^2y^4\sqrt{y}$

46.

Simplify:

$\sqrt{27c^8f^3}$

a)

$9c^4f\sqrt{3f}$

b)

$3c^8f^2\sqrt{3f}$

c)

$c^8f^2\sqrt{27f}$

d)

$3c^4f\sqrt{3f}$

47.

$\sqrt{50x^{10}y^8}$

a)

$10x^5y^4\sqrt{5}$

b)

$5x^5y^4\sqrt{2}$

c)

$25x^{10}y^8\sqrt{2}$

d)

$x^{10}y^8\sqrt{50}$

48.

What are the zeros of the function in the graph?

a)

(-1, 0) and (1, 0)

b)

(0, -1) and (0, 1)

c)

(0, -1)

d)

(-1, 0) and (1, 0) and (0, -1)

49.

Find the zeroes: 2x² - x - 6 = 0

a)

x = -3 and x = 2

b)

x = -3/2 and x = 2

c)

x = -3/2 and x = -2

50.

Find the roots

a)

x = -1 x = 3

b)

x = -2 x = 3

c)

x = -1 x = 4

Topic 9 Review

Total questions: 50

Worksheet time: 3hrs 42mins

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