Free Printable Final Review 2022

1.

The interior angles of a triangle add to (a) degrees.

2.

Simplify (2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

3.

Simplify the expression.
x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

4.

Using exponents, simplify the following expression:

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

5.

Simplify: $\frac{\left(4x^2y^3\right)^0}{8x^3}$

a)

$\frac{1}{8x^3}$

b)

$\frac{y^3}{2x}$

c)

$\frac{4y^3}{8x}$

d)

$1$

6.

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x).

a)

14x-10

b)

-8x+2

c)

2x+2

d)

2x-2

7.

f(x) = 9-3x
g(x) = 5x-7
Find f(x) - g(x).

a)

14x-16

b)

-8x+16

c)

2x+2

d)

2x-2

8.

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

a)

4x²+24

b)

4x²+20x+24

c)

4x²+12x+24

d)

4x²+4x+24

9.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

10.

Given f(x) = 2x and g(x) = x²+ 3

find f(g(x)).

a)

x²+ 2x + 3

b)

4x²+ 3

c)

2x²+ 3

d)

2x²+ 6

11.

p(x) = 3x + 4

q(x) = 2x²

Find p(q(x))

a)

10x²

b)

18x² + 4

c)

6x² + 4

12.

Given f(x)= 10 + xand g(x)= 2,

find $\frac{f\left(x\right)}{g\left(x\right)}$

a)

5 + x

b)

5

c)

5 + x/2

d)

2/10 + x

13.

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

a)

8

b)

-8

c)

28

d)

None of these.

14.

a² + b² = c² $b=35\ \&\ c=37$

a)

a = 12

b)

a = 11

c)

a = 18

d)

a = 14

15.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be? (to the nearest foot)

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

16.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

17.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

18.

Choose the correct set up to find the length of the side x.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

19.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

20.

What is the correct set up for the problem to find the measure of the indicated angle?

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

21.

Find the length of side x.

a)

10

b)

11.3

c)

12.0

d)

15.0

22.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

23.

Find the ratio for tanA. (Reduce the fraction)

a)

36/27

b)

4/3

c)

36/45

d)

4/5

24.

Which side is adjacent to angle A?

a)

5

b)

12

c)

13

25.

Is this mapping a function and how can you tell?

a)

Yes its a function cause all the numbers have lines

b)

No it's not a function because there a 5 in both ovals

c)

No it's not a function because the x value 5 has y values of 2 & 9

d)

No it's not a function because the y value 5 has x values of 2 & 9

26.

Which graph is not a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

27.

Function or not?

a)

Function

b)

Not a Function

28.

What percentage of the boys had red hair?

a)

5%

b)

10%

c)

12%

d)

4%

29.

How many people purchased no food and no drink?

a)

60

b)

10

c)

20

d)

200

30.

What percentage of SUV's are driven by women?

a)

56.25%

b)

75%

c)

83.25%

d)

86.5%

31.

Which of the following is the equation of a circle with a center at (-1,3) and a radius of 4?

a)

(x-1)²+(y+3)²=4

b)

(x-1)²+(y+3)²=16

c)

(x+1)²+(y-3)²=4

d)

(x+1)²+(y-3)²=16

32.

What is the equation of this circle? Whose center is (-2,-1)

a)

(x - 2)² + (y - 1)² = 4

b)

(x + 2)²+(y + 1)²=16

c)

(x + 2)² + (y - 1)² = 4

d)

(x + 2)²+(y - 1)²=16

33.

Solve.

a)

386.97 cm²

b)

122.5 cm²

c)

50.3 cm²

d)

102.4 cm²

34.

Find the area of the largest triangle shown.

a)

39

b)

78

c)

30.8

d)

24

35.

Find the area of the trapezoid in square yards.

a)

59.5

b)

119

c)

71.5

d)

40

36.

Name a tangent of the circle.

a)

$\overline{AH}$

b)

$\overline{DA}$

c)

$\overline{GE}$

d)

$\overline{CH}$

37.

What is the area of a circle with a circumference of $16\pi$ ?

a)

None of these

b)

$8\pi$

c)

$64\pi$

d)

$256\pi$

38.

If the measure of arc ABC = 210°, what is the measure of arc AC?

a)

150°

b)

100°

c)

210°

d)

105°

39.

The central angle of a circle is defined as…

a)

An angle whose vertex is on the circle

b)

An angle whose vertex lies somewhere inside the circle and rays extent to intersect the circle

c)

An angle whose vertex is at the center of the circle

d)

And angle that lies outside the circle and whose rays touch the circle at one point.

40.

What shape does this cross section make?

a)

Rectangle

b)

Circle

c)

Triangle

d)

Square

41.

The net of a specific polyhedron is shown. Which image represents this net?

a)

b)

c)

d)

42.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

43.

If the legs of a triangle are $2\sqrt{22}\ and\ 3\sqrt{15}$ What is the length of the hypotenuse ?

a)

$\sqrt[]{223}$

b)

$\sqrt[]{89}$

c)

$9.4$

d)

$\sqrt[]{47}$

44.

How many roots does this graph have?

a)

0

b)

1

c)

3

d)

2

45.

If $f\left(x\right)=4x-5$ and $g\left(x\right)=x^2$ , what is $f\left(g\left(2\right)\right)$ ?

a)

$5$

b)

$7$

c)

$11$

d)

$13$

46.

f(x)=x²-1
g(x)=x-1
Find $\frac{f\left(x\right)}{g\left(x\right)}$

a)

x+1

b)

x²+1

c)

x

d)

x²-1

47.

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

48.

Simplify

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

49.

Multiply and Simplify

a)

$\frac{4\left(x+3\right)}{\left(x+2\right)}$

b)

$\ \frac{\left(x+2\right)}{4\left(x+1\right)}$

c)

$\frac{4\left(x+2\right)}{\left(x+3\right)}$

d)

$\frac{\left(x+2\right)}{4\left(x+3\right)}$

50.

To find the area of this figure:

a)

Use r=26 and r=7 find the areas of each circle and subtract.

b)

Use r = 13 and r = 7 find the areas of each circle and subtract.

c)

Use r = 26 and r = 33 find the areas of each circle and subtract.

d)

Use r = 13 and r = 20 find the areas of each circle and subtract.

Final Review 2022

Total questions: 50

Worksheet time: 2hrs 59mins

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