Free Printable Unit 3 and Unit 4 Final Exam Review

1.

$5\sqrt{3}\left(3\sqrt{2}-\sqrt{3}\right)$

a)

$8\sqrt{5}-5\sqrt{3}$

b)

$15\sqrt{6}-5\sqrt{9}$

c)

$15\sqrt{6}-15$

d)

$15-5\sqrt{6}$

2.

$2\sqrt{5}\cdot\ 3\sqrt{5}$

(a)

3.

Simplify: 2√40 - 3√10

a)

5√10

b)

√10

c)

-√30

4.

A square has side length $\sqrt{82}\ cm$ . What is the area of the square?

a)

$9.05\ cm^2$

b)

$82\ cm^2$

c)

$164\ cm^2$

d)

$6724\ cm^2$

5.

Find the area of a rectangle that has side lengths of 2√12 and 4√2

a)

16√6

b)

16√3

c)

8√2

d)

32√6

6.

Find the perimeter of the rectangle

a)

$38\sqrt[]{6}$

b)

$7\sqrt[]{150}+\sqrt[]{54}$

c)

$76\sqrt[]{6}$

d)

$12\sqrt[]{38}$

7.

a)

x²+4x+8

b)

x²+8x+8

c)

x²+8x+6

d)

x²+6x+8

8.

a)

5x²+16x+8

b)

6x²+12x+8

c)

6x²+16x+6

d)

6x²+16x+8

9.

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

10.

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

11.

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

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

12.

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

13.

What is the "formula" for finding the axis of symmetry?

a)

$y=ax^2+bx+c$

b)

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

c)

$y=mx+b$

d)

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

14.

Find the axis of symmetry for $y=x^2-8x+15$

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

15.

Find the vertex for $y=x^2-8x+15$

a)

(-4, 63)

b)

(-4, 31)

c)

(4, -1)

d)

(4, -31)

16.

$\pi\times0$ is

a)

Rational

b)

Irrational

17.

$\sqrt[]{2}\times\sqrt[]{8}$ is

a)

Rational

b)

Irrational

18.

$\sqrt[]{2}+\frac{2}{5}$ is

a)

Rational

b)

Irrational

19.

$3.5674-9.2556443$ is

a)

Rational

b)

Irrational

20.

$\frac{1}{2}+\frac{9}{125}$ is

a)

Rational

b)

Irrational

21.

$\sqrt[]{100}$ is

a)

Rational

b)

Irrational

22.

$-14.3467498884384575993874...$ is

a)

Rational

b)

Irrational

23.

$-19.4567$ is

a)

Rational

b)

Irrational

24.

$\frac{19}{21335}$ is

a)

Rational

b)

Irrational

25.

Rational numbers are numbers that can be written as a

a)

repeating decimal

b)

terminating decimal

c)

square root

d)

fraction

26.

Irrational numbers are numbers that can be written as a

a)

fraction

b)

decimal

c)

repeating decimal

d)

terminating decimal

27.

Select the best answer.

a)

A

b)

B

c)

C

d)

D

28.

Select the best answer.

a)

A

b)

B

c)

C

d)

D

29.

Select the best answer.

a)

A

b)

B

c)

C

d)

D

30.

Select the best answer.

a)

A

b)

B

c)

C

d)

D

31.

Select the best answer.

a)

2, 2x-1, 4x-1

b)

2x-1, x+1

c)

2, 2x-1, x+1

d)

2, 2x+1, x-1

32.

Does the graph have a maximum or minimum? Select the min/max value. (2 responses!)

a)

max

b)

min

c)

-1

d)

4

33.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

34.

Use the graph to determine the X-intercepts

a)

(-1,0) and (-3,0)

b)

(1,0) and (3,0)

c)

(0,1) and (0,3)

d)

(0,-1) and (0,-3)

35.

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

36.

Define Vertex

a)

Where the parabola touches or intersects the x-axis

b)

The highest or lowest point on the graph

c)

Where parabola line touches or intersects the x- axis, also called the x-intercept

d)

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

37.

Define Axis Of Symmetry

a)

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

b)

Where the parabola touches or intersects the x-axis, also called the x-intercept

c)

The highest y-value on the graph

d)

The highest or lowest point on the graph

38.

The set of all x values used in a function's graph is called what?

a)

Increasing interval

b)

Decreasing interval

c)

Domain

d)

Range

39.

The set of all y values used in a function's graph is called what?

a)

Increasing interval

b)

Decreasing interval

c)

Domain

d)

Range

40.

What is the range of this function?

a)

(- ∞,+∞)

b)

[0, +∞)

c)

[-2, +∞)

d)

[2, +∞)

41.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

42.

The pattern in the image models a quadratic relationship. Write an equation to show the relationship between the stage number, x, and the number of squares.

a)

$y=3x^2$

b)

$y=x^2+3$

c)

$y=x^2+2$

d)

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

43.

Find f(-1):

$f\left(x\right)=3x^2-2x+8$

a)

13

b)

8

c)

16

d)

answer not here

Unit 3 and Unit 4 Final Exam Review

Total questions: 43

Worksheet time: 2hrs 21mins

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