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Final Exam Review Task

Total questions: 35

Worksheet time: 3hrs 55mins

Name
Class
Date
1.

Jayden filled his 290 gallon pool with water in 10 hours.

What is the unit rate of filling his pool?

a)

2.9 gal/hour

b)

29 gal/min

c)

29 gal/hour

d)

2.9 gal/min

2.

Sophia earned $480 in 32 hours.  How much would she earn in 40 hours?  

a)

$15

b)

$560

c)

$600

d)

$660

3.

Mike is planning a company party. Last time he went for pizza he paid $68 for 4 pizzas.  How many pizzas would he be able to get for $1071.

a)

17

b)

63

c)

68

d)

47

4.

If this triangle is translated 6 units down and 5 units right, which quadrant would it be located in?

a)

I

b)

II

c)

III

d)

IV

5.

If the triangle in the diagram is reflected across the y-axis what quadrant will it end up in?

a)

I

b)

II

c)

III

d)

IV

6.

If this triangle was reflected across the y-axis, what would the coordinates of B' be?

a)

(5,2)\left(5,-2\right)

b)

(5, 2)\left(-5,\ 2\right)

c)

(5,2)\left(-5,-2\right)

d)

(5, 2)\left(5,\ 2\right)

7.

These two triangles are similar. What is the measure of side x?

a)

5

b)

14

c)

12

d)

20

8.

What is the measure of the missing side?

a)

15

b)

12

c)

9

d)

cannot be determined

9.

What is the measure of angle H?

a)

31°

b)

32°

c)

117°

d)

148°

10.

This dilation is showing a(n)

a)

enlargement

b)

reduction

c)

congruency

d)

none of these

11.

Assume a dilation from pre-image triangle ABC to image triangle DEF. What is the scale factor?

a)

1/2

b)

1

c)

1 1/2

d)

2

12.

What is the scale factor in the dilation in the figure?

a)

0.5

b)

1.0

c)

1.5

d)

2.0

13.

Angle 1 and Angle 3 are

a)

Opposite angles and congruent.

b)

Vertical angles and similar.

c)

Adjacent angles and 90°.

d)

Corresponding angles and congruent.

14.

Angle 7 is equal to 30°.

What is the measure of Angle 1 ?

a)

150°

b)

180°

c)

30°

d)

Not enough information to know.

15.

Angle 2 measures 110°.

What would the measure of Angle 3?

a)

110°

b)

70°

c)

180°

d)

Not enough information to know.

16.

Select angles that are congruent to Angle 4 given that it measures 125°.

a)

1, 3

b)

5, 7

c)

2, 6

d)

3, 6

17.

What is the value of f(x) if x = 3f\left(x\right)\ if\ x\ =\ 3 for the function f(x)=4x3f\left(x\right)=4x-3 ?

a)

15-15

b)

99

c)

1515

d)

None of these.

18.

Which graph(s) represent a function?

a)

A

b)

B

c)

Both A & B

d)

Neither are function graphs.

19.

Does this table represent a proportional relationship?

a)

Yes

b)

No

20.

Does this table represent a proportional or non-proportional relationship?

a)

Proportional

b)

Non-proportional

21.

Proportional or Not Proportional

a)

Proportional

b)

Not proportional.

22.

What is the equation of the line on the graph?

a)

y=x+1y=-x+1

b)

y=12x+1y=\frac{1}{2}x+1

c)

y=4x+1y=4x+1

d)

y=3x+1y=-3x+1

23.

What is the equation of the line shown?

a)

y=32x+3y=\frac{3}{2}x+3

b)

y=23x+3y=\frac{2}{3}x+3

c)

y=23x+3y=-\frac{2}{3}x+3

d)

y=32x+3y=-\frac{3}{2}x+3

24.

What is the equation of the line?

a)

f(x)=14x+1f\left(x\right)=-\frac{1}{4}x+1

b)

f(x)=14x+2f\left(x\right)=\frac{1}{4}x+2

c)

f(x)=4x+1f\left(x\right)=4x+1

d)

f(x)=4x+1f\left(x\right)=-4x+1

25.

What is the solution to the systems of equations graphed here?

a)

(1, 3)\left(1,\ 3\right)

b)

(3, 1)\left(3,\ 1\right)

c)

(3, 1)\left(3,\ -1\right)

d)

(4, 0)\left(4,\ 0\right)

26.

What are the values below that apply to the linear equation graph?

a)

b=6, m=3b=6,\ m=-3

b)

m=12, b=3m=-\frac{1}{2},\ b=-3

c)

m=12, b=6m=\frac{1}{2},\ b=6

d)

b=3, m=12b=-3,\ m=\frac{1}{2}

27.

In what quadrant are the coordinates of a point both negative?

a)

I

b)

II

c)

III

d)

IV

28.

What is the correct equation to calculate the slope of the line?

a)

m=314(1)m=\frac{3-1}{4-\left(-1\right)}

b)

m=1314m=\frac{-1-3}{1-4}

c)

m=413(1)m=\frac{4-1}{3-\left(-1\right)}

d)

None of these.

29.

Calculate the slope between the points:

(3, 4) and (5, 8)\left(3,\ 4\right)\ and\ \left(5,\ 8\right)

a)

22

b)

2-2

c)

12-\frac{1}{2}

d)

12\frac{1}{2}

30.

Calculate the slope between the points:

(3, 2) and (4, 6)\left(3,\ 2\right)\ and\ \left(-4,\ -6\right)

a)

87\frac{-8}{7}

b)

78\frac{-7}{8}

c)

87\frac{8}{7}

d)

78\frac{7}{8}

31.

Solve the systems of equations.

x+7y=0x+7y=0

2x8y=222x-8y=22

a)

(7, 1)\left(7,\ 1\right)

b)

(7, 1)\left(-7,\ 1\right)

c)

(7, 1)\left(-7,\ -1\right)

d)

(7, 1)\left(7,\ -1\right)

32.

Solve the system of equations:

4xy=204x-y=20

2x2y=10-2x-2y=10

a)

(3, 8)\left(3,\ 8\right)

b)

(8, 3)\left(8,\ 3\right)

c)

(3, 8)\left(3,\ -8\right)

d)

(3, 8)\left(-3,\ 8\right)

33.

Solve the system of equations:

y=7y=-7

3x5y=173x-5y=17

a)

(6, 7)\left(6,\ -7\right)

b)

(5, 7)\left(5,\ -7\right)

c)

(6, 7)\left(-6,\ -7\right)

d)

(5, 7)\left(-5,\ -7\right)

34.

The Delish Ice-Cream Shop sell sundaes for $2.00 and banana splits for $3.00. On one hot summer day they sold 8 more sundaes than banana splits and made $156.00. How much money was made on banana splits sales?

a)

80

b)

82

c)

84

d)

86

35.

Stephan's school is having a drama performance. On day 1 of ticket sales the school sold three senior citizen tickets and one child ticket for a total of $38.00. On day 2 the school collected $52.00 by selling three senior citizen tickets and two child tickets. How much is the price of a senior citizen ticket?

a)

$14.00

b)

$10.00

c)

$8.00

d)

$6.00