Free Printable 7th gr. 2nd Semester Final Review

Worksheets

7th gr. 2nd Semester Final Review

Total questions: 57

Worksheet time: 5hrs 41mins

Name

Class

Date

150 grams of fertilizer is required for a land area of 6 square acres. At this rate, how many grams of fertilizer is needed for 13 square acres?

25 grams

300 grams

325 grams

310 grams

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?

87 km

216 km

33 km

192 km

The triangles are similar, solve for the question mark.

12.5

4 ft

15 ft

18 ft

2 ft

The regular price of a sofa is $599.99.
If there is a 20% discount and
the sales tax is 6%
(based on the discounted price),
How much will the sofa cost?

$508.79

$479.99

$635.99

$489.59

Tickets to Disney World are $100.The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?

25%

18%

20%

50%

6.25

5.5

5.75

At the same time a 6 foot person casts a 2 foot shadow, a nearby flagpole casts a ten foot shadow. How tall is the flagpole?

3 feet

10 feet

16 feet

30 feet

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

10.

Find the slope

-5/3

-3/5

5/3

3/5

11.

Write the equation of the graph in slope-intercept form

$y=-2x-4$

$y=2x\ -\ 4$

$y=\frac{1}{2}x-4$

$y=-\frac{1}{2}x-4$

12.

Graph the line with the equation
$y\ =\ -\frac{1}{3}x\ -\ 4$

13.

What is the slope in the equation y=2x + 3?

Cannot be Determined

14.

What is the y-intercept in the equation y= -2x + 5

-2

Cannot be Determined

15.

What is the slope of the line that passes through the points (4, 9) and (1, 6)?

-3

-1

16.

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?

1/2

-1/2

-2

17.

What is the slope of the line that passes through the points (4, -3) and (8, -3)?

-3/2

3/2

undefined

18.

Find the slope of the line that passes through (-9, -6) and (-9, -10)

Undefined

-3

-9

19.

Find the measure of angle b.

Hint: Identify the angle relationship.

115

20.

Solve for x

140

21.

Angles A and B create what type of angle?

Complementary Angle

Supplementary Angle

Vertical Angle

Obtuse Angle

22.

Using the diagram, find the value of x.

*Hint: determine the relationship between the angles first. Are they equal, complementary, supplementary?

(a)

23.

Use the diagram to determine the relationship between the angles. Find the value of x.

(a)

24.

Does a triangle with these side lengths exist?
15, 12, 9

Yes

I don't know.

25.

Can the sides of a triangle have lengths 3, 4, and 9?

Yes

26.

Can the sides of a triangle have lengths 4, 11, and 13?

Yes

27.

Mrs. Apple just bought a new dinning room table. She needs to make a table cloth for decoration. What amount of fabric should she buy if the table has a diameter of 5 feet? Choose the equation that would best help solve this problem.

C = π5

C = (2)(π)(2.5)

A = π x 5 x 5

A = π x 2.5 x 2.5

28.

A lawn sprinkler sprays water 5 ft in every direction as it rotates. What is the area of the sprinkled lawn?

$78.5\ ft^2$

$39.25\ ft^2$

$15.7\ ft^2$

$80.1\ ft^2$

29.

Find the volume.

55 yd³

121 yd³

22 yd³

330 yd³

30.

A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 50% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?

27,143.36 ft³

3392.92 ft³

13,571.68 ft³

6,785.84 ft³

31.

Victoria bought coffee in a cup shaped like a cylinder with a radius of 5 centimeters and a height of 15 centimeters. Victoria fills the cup with coffee, but she leaves 4.5 centimeters of space at the top to have room for cream. What is the volume of coffee in her cup?

824.7 cm.3

10.5 cm.3

667.25 cm.3

253.2 cm.3

32.

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

5/11

5/6

1/3

33.

You roll a six sided die. What is the probability of rolling an even number three times in a row?

3/100

1/2

1/6

1/8

34.

The value of y varies directly with x. Which function represents the relationship between x and y if y = 14 when x = 6.

y=20x

y=84x

y=7/3x

y=3/7x

35.

Which of the given graphs is a direct variation?

36.

Is this a direct variation equation?
y=2x

yes

37.

What is the constant of proportionality (in miles per hour) based on the table?

135

38.

Experimental Probability is:

What Will happen

What actually happens

What should happen

What I think Happens

39.

Dylan made 15 out of 35 free throws.

What's his experimental probability as a simplified fraction?

3/7

15/35

1/2

5/7

40.

Brooke has a box of crayons. 45 are yellow, 12 are green, 25 are blue, and 7 are red. If Brooke selects a crayon at random, which color crayon would she be most likely to select?

yellow

green

blue

red

41.

Find the experimental probability:
Roll dice: 1, 3, 3, 4, 4
P(1) =

3/5

1/6

2/5

1/5

42.

The _____ is the distance from the center to any point on the circle.

diameter

radius

center

43.

Find the radius of the circle

20 ft

10 ft

5.5 ft

44.

find the diameter of the circle

14 m

7 m

3.5 m

45.

The diameter of a circle is 3 centimeters. What is the circumference?

11.5cm2

9.42 cm2

unicorns are awsome

45.3 cm2

46.

What is the area of this circle?

50.27

78.23

98.12

201.06

47.

Bald eagles have made an amazing recovery from the brink of extinction. In the mid-1960s, there were only 450 breeding pairs in the lower 48 states. Since that time, the bald ealges have made a comeback due to habitat restoration. There are now about 10,000 breeding pairs in the lower 48 states. By about what percent has the number of bald eagle breeding pairs increased?

54%

95%

10%

2,122%

48.

Bees are responsible for the pollinaton that leads to the production of 1/3 of all our food. Sadly, the number of hives has declined drastically in recent years. In Central Texas, the number of hives has dropped from 276 to 125 in the last ten years. Which is closest to the percent decrease in the number of bee hives in central Texas?

55%

151%

120%

90%

49.

^{_{What is the Lateral Area of the Figure}}

163in³

188.5in²

283in²

324in³

50.

Find the total surface area of the cylinder.

456.33m²

1445.1m²

1245.m²

6666m²

51.

What is the volume of the following triangular prism?

45 cubic in

36 cubic in

108 cubic in

54 cubic in

52.

What is the total surface area of this rectangular prism is square inches?

85 in squared

102 in squared

256 in squared

222 in squared

53.

Find the volume

40π m³

160π m³

400π m³

100π m³

54.

$75 dress shirt; 20% discount

$2.36

$70.20

$60.00

$20.00

55.

Find the total cost. $20 meal; 9% sales tax; 20% gratuity after the sales tax has been added

$ 1.80

$ 4.00

$26.16

$29.20

56.

What is the slope and y-intercept of the linear function given by the equation 4x - 3y = 6

m = 4/3, b = -2

m = 4, b = 2

m = -4/3, b = -2

m = 4, b = -2

57.

Write the slope intercept form of the equation x - 3y = 6

y = -x - 2

y = x + 2

y = 1/3x - 2

y = -1/3x + 2

100 %

7th gr. 2nd Semester Final Review

Total questions: 57

Worksheet time: 5hrs 41mins

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