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7th grade pre alg review final

Total questions: 85

Worksheet time: 7hrs 5mins

Name
Class
Date
1.

Identify the slope of the following graph.

(a)  

2.

What is the slope of the table?

a)

1/2

b)

2

c)

-2

d)

3

3.

Find the equation from the table.

a)

y=−5x+4y=-5x+4  

b)

y=−14x+5y=-\frac{1}{4}x+5  

c)

y=−4x+5y=-4x+5  

d)

y=5x−4y=5x-4  

4.

Which equation represents the table?

a)

y=−2x+7y=-2x+7  

b)

y=2x+7y=2x+7  

c)

y=12x+7y=\frac{1}{2}x+7  

d)

y=7x−2y=7x-2  

5.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
6.

2319 kL = _______ mL

a)

2,319,000 mL

b)

2,319,000,000 mL

c)

2.319 mL

d)

0.0002319 mL

7.

0.563 L = _____ mL

a)

5,630 mL

b)

5.63 mL

c)

56.3 mL

d)

563 mL

8.

35,400 mg = ________g

a)

3.5400 g

b)

3,540 g

c)

35.4 g

d)

354,000 g

9.

34 m = _____ mm

a)

340 mm

b)

3400 mm

c)

0.034 mm

d)

34,000 mm

10.

1 mL = _____L

a)

0.001 L

b)

0.1 L

c)

0.01 L

d)

1000 L

11.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
12.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
13.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
14.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
15.
How do you write the algebraic notation when the scale factor is 3?
a)
(x, y) goes to (1/3x, 1/3y)
b)
(x, y) goes to (-3x, -3y)
c)
(x, y) goes to (x + 3, y + 3)
d)
(x, y) goes to (3x, 3y)
16.

An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.

a)

True

b)

False

17.
Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1).  What are the coordinates of A' after a dilation by a scale factor of 2.5?
a)
(-5, 5)
b)
(5, -5)
c)
(5, 10)
d)
(7.5, -2.5)
18.

160\sqrt{160} is between which two perfect squares?

a)

11

b)

12

c)

13

d)

14

19.

215\sqrt{215} is between which two perfect squares?

a)

12

b)

13

c)

14

d)

15

20.

What approximation is the most reasonable for the following: 126\sqrt[]{126}  

a)

11.1 or 11.2

b)

11.4 or 11.5

c)

11.6 or 11.7

d)

11.8 or 11.9

21.

Reflect (5, 9) over the y-axis.

a)

(-5,9)

b)

(-5,-9)

c)

(5,-9)

22.

Reflect (-2, 6) over the y-axis.

a)

(2,6)

b)

(-2,-6)

c)

(-2,6)

23.

Reflect (4, 0) over the y-axis.

a)

(-4,0)

b)

(0,4)

c)

(0,-4)

24.

Reflect (4, 0) over the y-axis.

a)

(-4,0)

b)

(0,4)

c)

(0,-4)

25.

Reflect (-7, -9) over the y-axis.

a)

(7,-9)

b)

(-7,-9)

c)

(7,9)

26.

Reflect (2,1) over the x-axis.

a)

(-2,1)

b)

(-2,-1)

c)

(2,-1)

27.

Kate spun the spinner 75 times and landed on "3" thirty times.

What is the experimental probability as a percentage?

a)

20%

b)

30%

c)

40%

d)

50%

28.

Jill rolled a "5" fifteen times out of 20 rolls on a dice.

What is the experimental probability as a SIMPLIFIED FRACTION!

a)

3/7

b)

3/6

c)

3/5

d)

3/4

29.

The spinner was spun 30 times and landed on blue 12 times. What was the experimental probability of the spinner landing on colors that were not blue?

a)

2/5

b)

3/5

c)

4/5

d)

1/5

30.

Tammy rolled a die five times.

Here is what she got on her five rolls: 1, 3, 3, 4, & 4

Find the experimental probability:

P(3) =

a)

3/5

b)

1/6

c)

2/5

d)

1/3

31.

Solve for the variable.

8x - 8 = -4x + 16

a)

x = 8

b)

x = 16

c)

x = 24

d)

x = 2

32.

Solve for k.

-5k + 10 = -2k - 14

a)

k = 8

b)

k = -8

c)

k = 2

d)

k = -2

33.
Solve for x:
4(1-x)+3x=-2(x+1)
a)
x = -6
b)
x = 6
c)
x = 3
34.
Solve:
5y+34 = -2(-7y+1)
a)
y = -4
b)
y = 9
c)
y = 4
d)
y = 36/19
35.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
36.
What is the solution to the equations?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
37.

Identify the type of solution.

a)

Infinite solutions

b)

One solution

c)

No solution

38.
a)

3

b)

4

c)

0.5

d)

2

39.

Solve for d

−14.3=1.4−3d-14.3=1.4-3d  

a)

5.2

b)

4.3

c)

-5.2

d)

-4.3

40.

Solve the equation:

10.35+2.3h=−9.210.35+2.3h=-9.2  
your answer should be a decimal



(a)  

41.
Which box and whisker plot has the highest median?
a)
Top plot
b)
Bottom plot
42.
Which family on average is shorter?
a)
Maggie's 
b)
Lexi's
43.
What is the interquartile range of plot A?
a)
6
b)
8
c)
15
d)
28
44.

Which city has a lower IQR?

a)

City A

b)

City B

45.
What is the area of the composite figure?
a)
40 sq cm
b)
65 sq cm
c)
52.5 sq cm
d)
25 sq cm
46.
What is the area of the composite figure?
a)
80 cm2
b)
16 cm2
c)
96 cm2
d)
32 cm2
47.
Find the area of the composite figure.
a)
100
b)
178.5
c)
139.25
d)
175
48.
Find the area of the shaded region: 
a)
350 cm2
b)
137.5 cm2
c)
212.5 cm2
d)
484.2 cm2
49.
Find the area of the composite figure.
a)
100
b)
178.5
c)
139.25
d)
175
50.
Find the volume of the figure.
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
51.

find the volume. Round to the nearest hundredth. Be careful radius is half the diameter.

a)

1526.82mi

b)

1326cm3

c)

6104.16mi3

d)

1026.04mi3

52.

Rotate the point (-5,8) around the origin 180 degrees counterclockwise.

State the image of the point.

a)

(5, 8)

b)

(5, -8)

c)

(5, -8)

d)

(-5, 8)

53.

Rotate the point (-4,9) around the origin 270 degrees counterclockwise. State the image of the point.

a)

(9 , 4)

b)

(-9, 4)

c)

(9, -4)

d)

(-4, -9)

54.

Rotate the point (-1,-2) around the origin 180 degrees. State the image of the point.

a)

(-1,2)

b)

(1, -2)

c)

(1, 2)

d)

(-2, -1)

55.

Rotate A(-4,4) B(-5,1) C(-3, 1)....90 degrees clockwise

a)

A(4,4) B(-5,-1) C(3, -1)

b)

A(4, -4) B(1, -5) C(3, -1)

c)

A(-4, -4) B(-1, -5) C(-1,-3)

d)

A(4, 4) B(1,5) C(1,3)

56.

What is the new point for (-8, -8) after a 180 degree rotation

a)

(-8,8)

b)

(8,-8)

c)

(8,8)

d)

(-8, -8)

57.

For the transformation shown at the right, what is the measure of the angle of rotation of ABCD about the origin?

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

58.
a)
40 cm³
b)
11 cm
20 cm²
c)
20 cm³
d)
30 cm³
59.
Find the volume of the triangular prism.
a)
80 cm³
b)
15 cm²
c)
80 
d)
40 cm³
60.

If A(2,5) is to be translated by the following rule, where will A' be located? (x,y) --> (x+3, y-2)

a)

(-1,3)

b)

(5,3)

c)

(5,8)

d)

(3,5)

61.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

d)

(x-2, y+9)

62.

What would A' be after this translation. A(-3,4)

(x, y) ----> (x + 2, y - 3)

a)

A'(-6,6)

b)

A'(2,-3)

c)

A'(-1,1)

d)

A'(-5,1)

63.

Mrs. Liang spins each of the spinners one time. What is the probability that the first spinner will land on an odd number and the second will land on a vowel?

a)

1/12

b)

1/4

c)

1/3

d)

1/6

64.

Probability of:
Spinning a 4
Drawing an B or C

a)

1/2

b)

1/12

c)

1/16

d)

1/14

65.

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

a)

1 ⁄ 16

b)

1 ⁄ 2

c)

1 ⁄ 4

d)

1 ⁄ 8

66.
What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.
a)
561.5 in³
b)
267.9 in³
c)
201 in³
d)
803.8 in³
67.
Find the Volume of the Sphere
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
68.

A bag is filled with 4 red marbles, 3 blue marbles, 3 yellow marbles, and 2 green marbles. You randomly choose one marble from the bag. Find the number of ways the event can occur.

a)

12

b)

4

c)

3

d)

2

69.
Sadie used a container shaped like a cylinder to catch rainwater. The dimensions of the container are shown below. Which measurement is closest to the volume?
a)
1,527cm3
b)
4,072cm3
c)
1,018cm3
d)
3,054cm3
70.
Find the volume of this shape
a)
1520.53
b)
276.46
c)
552.93
d)
6082.12
71.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
72.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
73.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
74.
Triangle B is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
75.
Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
76.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
77.
What kind of slope would this line have?
a)
positive 
b)
negative 
c)
zero 
d)
undefined 
78.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
79.

If one gallon is approximately 3.8 liters, how many liters are in 4.5 gallons?

a)

17.1 liters

b)

17.1

c)

17.01 liters

d)

17.1 lt

80.

A brownie recipe calls for 3 eggs for 18 brownies. How many eggs would be needed to make four dozen brownies?

a)

8 eggs

b)

0.67 eggs

c)

1 egg

d)

4 eggs

81.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
216 yd3
b)
108 yd3
c)
72 yd3
d)
36 yd3
82.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
21 m3
b)
64 m3
c)
32 m3
d)
11 m3
83.

Elena is cutting a 30-foot piece of ribbon for a craft project. She cuts off 7 feet, and then cuts the remaining piece into 9 equal lengths of feet each. Which equation matches the situation?

a)

7 + 9x = 30

b)

30 = x - 7 - 9

c)

30/x = 9-7

d)

x - 30 = 7(9)

84.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

a)

10.95x + 12.57 = 89.22

b)

12.57x + 10.95 = 89.22

c)

89.22x -10.95 = 12.57

d)

12.57 + 10.95 = 89.22

85.

Jim works at a local restaurant. He earns $8 an hour, plus tips. If Jim earned $350 last week, which included $270 in tips, how many hours did he work?

a)

8/h + 270 = 350

b)

350 = 270 + 8 + h

c)

350 = 270 + 8h

d)

350 -270 = h

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