Free Printable Final Exam Review (May 2023)

1.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

2.

Which expression is equivalent to the given?

a)

b)

c)

d)

3.

Simplify

a)

$-\frac{1}{6}$

b)

$\frac{1}{6}$

c)

6

d)

-6

4.

Simplify

a)

$\frac{7a^5}{b^3}$

b)

$\frac{b^3}{7a^5}$

c)

$\frac{7b^3}{a^{-5}}$

d)

$\frac{7b^3}{a^5}$

5.

Simplify

a)

$-\frac{1}{125}$

b)

125

c)

-125

d)

$\frac{1}{125}$

6.

If the exponent on your power of 10 is positive, is your number larger or smaller than 10?

a)

Larger

b)

Smaller

7.

When graphing $y<\frac{3}{5}x-4$ , you will draw which of the following.

a)

A dotted line

b)

A solid line

c)

Shade up

d)

Shade down

8.

This is a graph of which inequality?

a)

y > 4x - 2

b)

y > -2x + 4

c)

y < -2x

d)

y < 4X - 2

9.

Which inequality describes this graph...

a)

y < 3x - 2

b)

y > 3x + 2

c)

y < 3x + 2

d)

y > 3x -2

10.

Solve for x
l 5x l = 40

a)

x = 8 and x =-8

b)

x = 35 and x = -35

c)

Only x = 8

d)

No Solution

11.

Solve for x
l 2x−1 l +4 = 8

a)

x = 2.5 and x = -1.5

b)

x = 2 and x = -1

c)

x = -2 and x = 9

d)

No Solution

12.

Factor Completely

7r³- 8r²+ 42r - 48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

13.

Factor by grouping:

4p³ + 8p² + 3p + 6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

14.

Factor

x²+ 12x - 3x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

15.

Multiply:

(2n + 2)(6n + 1)

a)

12n + 2

b)

12n² + 2

c)

12n² + 12n + 2

d)

12n² + 14n + 2

16.

Multiply
(x²-2x+1)(x+1)

a)

x³-x²-x+1

b)

x³-2x+2

c)

x³+x²+x+1

d)

x³-3x²-3x+1

17.

What is a method of checking your work when factoring?

a)

FOIL

b)

asking the teacher every time

c)

assume you're correct

d)

division

18.

36 and 9 can BOTH be divided by ____. Select all of the numbers that make this statement true.

a)

3

b)

6

c)

9

d)

2

19.

Factor Completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

20.

Solve
x² + 2x - 24 = 0

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

21.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

22.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

23.

What does CAH stand for

a)

cosine is the adjective over the hypotenuse.

b)

cosine is the adjacent side over the hypotenuse side.

c)

cosine is the adjacent side over the hippopotamus.

d)

cosine is the hypotenuse side over the adjacent side.

24.

What does SOH stand for

a)

hypotenuse over opposite

b)

adjacent over opposite
opposite over adjacent

c)

opposite over hypotenuse

d)

adjacent over adjacent

25.

Use the calculator to find tan 60

a)

.87

b)

1.7

c)

.5

d)

.11

26.

Use a calculator to find the cos 70.

a)

.12

b)

2.7

c)

.94

d)

.34

27.

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

a)

y = 6.80 + .65x
y=7.30+.90x

b)

x + y = 6.80
x + y = 7.30

c)

y = 6.80+.90x
y = 7.30 + .65x

d)

y + .90x = 6.80
y + .65x = 7.30

28.

In a pasture, there are horses and chickens. If there are a total of 28 animals and 80 legs, how many chickens and horses are there?

a)

10 horses, 18 chickens

b)

16 horses, 12 chickens

c)

12 horses, 16 chickens

d)

18 horses, 10 chickens

29.

In a certain game, a player can solve easy or hard puzzles. A player earns 30 points for solving an easy puzzle and 60 points for solving a hard puzzle. Sanjna solved a total of 50 puzzles playing this game, earning 1,950 points in all. How many hard puzzles did Sanjna solve?

a)

15

b)

40

c)

20

d)

10

30.

Is this function linear or nonlinear?

a)

Linear because the graph is a straight line.

b)

Linear because the graph is NOT a straight line.

c)

Nonlinear because the graph is NOT a straight line.

d)

Nonlinear because the graph is a straight line.

31.

Why is this function nonlinear?

a)

This is a nonlinear function because it is vertical

b)

This is a nonlinear function because it is a straight line.

c)

This is a nonlinear function because it goes up and down.

d)

This is a nonlinear function because it is curved.

32.

Is this function linear or nonlinear?

a)

linear function

b)

nonlinear function

33.

Discrete or continuous data?

a)

Discrete

b)

Continuous

34.

Discrete or continuous data?

a)

Discrete

b)

Continuous

35.

Is the graph pictured discrete or continuous?

a)

Discrete

b)

Continuous

36.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

37.

What is the maximum height?

a)

200

b)

50

c)

3

d)

0

38.

What is the y-intercept?

a)

(6, 0)

b)

(0, 6)

c)

(-3, 0)

d)

(0, -3)

39.

What are the green dots called?

a)

y-intercepts

b)

maximum

c)

minimum

d)

x-intercepts

40.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

41.

What is the minimum of this graph?

a)

(-2,6)

b)

(-0.5,-3.5)

c)

(-1,-3)

d)

(3,0)

42.

On what interval is the graph decreasing?

a)

(∞, 3)

b)

(3, -∞)

c)

(3, ∞)

d)

(-∞, 3)

43.

On which interval is the graph constant?

a)

[-5,-3]

b)

[-3,-1]

c)

[1,4]

d)

(-∞,-5]

44.

Identify the domain of the function.

a)

$\left(1,\infty\right)$

b)

$\left[1,\infty\right)$

c)

$\left(2,\infty\right)$

d)

$\left[2,\infty\right)$

45.

Identify the range of the function.

a)

$\left(1,\infty\right)$

b)

$\left[1,\infty\right)$

c)

$\left(2,\infty\right)$

d)

$\left[2,\infty\right)$

46.

Identify the domain of the function.

a)

$\left[-4,4\right]$

b)

$\left(-\infty,\infty\right)$

c)

$\left[-4,\infty\right)$

d)

$\left[-\infty,4\right]$

47.

$y=x^2+3x+9$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

48.

$y=7x^8-9x^2+33$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

49.

Determine if the following graph is EVEN, ODD, or NEITHER.

a)

Even

b)

Odd

c)

Neither

50.

Determine if the following graph is EVEN, ODD, or NEITHER.

a)

Even

b)

Odd

c)

Neither

Final Exam Review (May 2023)

Total questions: 50

Worksheet time: 2hrs 55mins

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