Free Printable 7th Final Review 2 (Circles, Equations, Angles, Probability)

1.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

2.

What is the area of this circle? Use the Pi button.

a)

452.39 cm²

b)

139.12 cm²

c)

113.1 cm²

d)

84.23 cm²

3.

What is circumference?

a)

The distance around a circle.

b)

The space inside the circle.

c)

A line from side to side passing through the center.

d)

A line from the center to the side.

4.

What is the area of a circle?

a)

The distance around a circle.

b)

The space inside the circle.

c)

A line from side to side passing through the center.

d)

A line from the center to the side.

5.

The homeowners association wants to enclose the playground in a fence. How much fencing will they need to purchase?

Would you need to find the Area or Circumference?

a)

area

b)

circumference

c)

neither

6.

What is the radius of this circle?

a)

18

b)

36

c)

9

d)

8

7.

Steven purchases a bowl. The diameter of the

bowl is 14 cm. What is the distance around the bowl? Use the Pi button.

a)

21.98 cm

b)

43.98 cm

c)

87.96 cm

d)

7 cm

8.

What is the formula for area of a circle?

a)

A = π×r²

b)

A = 2×π×r

9.

Which of the following is the most accurate definition of π ?

a)

The ratio of the circumference of any circle to its diameter.

b)

It is exactly 3.14

c)

It is exactly 3.1415

d)

It is exactly 3.141593

10.

The radius is....

a)

a line that crosses through the center and touches each edge

b)

the center point of a circle

c)

a line from the center point to the edge of the circle

d)

an element in science

11.

Find the area of the circle below. Use 3.14 for Pi.

a)

100 cm²

b)

225 cm²

c)

9 cm²

d)

28.26 cm²

12.

What is the circumference of a circle with a diameter of 19.1 ft? Use 3.14 for Pi.

a)

60.00 ft

b)

35.17 ft

c)

28.67 ft

d)

47.17 ft

13.

A minute hand (radius) of a clock is 13.8 meters long. What is the circumference of the clock? Use 3.14 for Pi.

a)

86.70 meters

b)

76.66 meters

c)

66.66 meters

d)

96.66 meters

14.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

15.

If my radius is 10ft, what is my diameter?

a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

16.

If my diameter is 19 inches, what is my radius?

a)

38 inches

b)

9.5 inches

c)

59.66 inches

d)

119.32 inches

17.

What is the formula for finding the circumstance for a circle with just the radius?

a)

2*π*r

b)

1/2 b*h

c)

a+b/2*h

d)

I do not know

18.

What is the formula for finding the circumstance of a circle with just the diameter?

a)

π*d

b)

b*h

c)

l*w*h

d)

I do not know

19.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

20.

What is the formula for area of a circle given the radius?

a)

A = πr

b)

A = 2πr

c)

A = πd

d)

A = πr²

21.

What is the area of a circle with a radius of 21 cm?

a)

1384.74 cm²

b)

2142.12 cm²

c)

4348.08 cm²

d)

1289.12 cm²

22.

what is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

23.

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

a)

11.5cm2

b)

9.42 cm2

c)

unicorns are awsome

d)

45.3 cm2

24.

What is the equivalent percent to 0.05?

a)

50%

b)

500%

c)

5%

d)

0.05%

25.

What is the equivalent decimal to 14%?

a)

0.14

b)

1.4

c)

14.00

d)

0.014

26.

Find the PERCENT of change.
20 dogs to 5 dogs

a)

Decrease 15%

b)

Increase 15%

c)

Increase 75%

d)

Decrease 75%

e)

Decrease 5%

27.

Find the PERCENT of Change.
The original cost was $50 and the new cost is $60.

a)

Increase 20%

b)

Increase 16.67%

c)

Increase $10

d)

Decrease $10

e)

Increase 10%

28.

Find the percent of change if the original cost was $5 and the new cost is $1.

a)

Increase $4

b)

Decrease $4

c)

Decrease 80%

d)

Decrease 400%

29.

Find the percent increase. Round to the nearest percent.

From $5 to $10.

a)

5%

b)

50%

c)

100%

d)

10%

e)

150%

30.

Find the percent decrease. Round to the nearest percent.

From $10 to $5.

a)

5%

b)

50%

c)

100%

d)

10%

e)

150%

31.

Find the percent increase. Round to the nearest percent.

From $8 to $10.

a)

8%

b)

10%

c)

20%

d)

25%

e)

2%

32.

Find the percent decrease. Round to the nearest percent.

From $10 to $8.

a)

8%

b)

10%

c)

20%

d)

25%

e)

2%

33.

Find the percent of change if Eddie started with 20 tickets and ended with 30 tickets.

a)

Increase 10 tickets

b)

Increase 50%

c)

Increase 33%

d)

Decrease 50%

e)

Decrease 33%

34.

A pair of boots are $94.99. They are 25% off. With this discount, what is the sale price? Round to nearest cent if necessary.

a)

$71.24

b)

$118.74

c)

23.7475

d)

$23.75

35.

A $10 shirt is on sale for 25% off the price. What is the sale price of the shirt?

a)

$7.50

b)

$2.50

c)

$12.50

d)

$17.50

36.

A grocery store has a 20% markup on bottle of soda. The bottle of soda costs the store $1.25. Find the selling price. Round to nearest cent if necessary.

a)

$1.5

b)

$1.50

c)

$0.25

d)

$1.00

37.

What is the total price of a book if Barnes and Nobles gets it for $4.25 and the markup is 30%?

a)

$55.25

b)

$1.28

c)

$5.53

d)

$4.38

38.

Jan bought a new sweater. It was priced at $32.00 and there was a 25% discount. She gave the cashier $40.00. What was her change?

a)

$24.00

b)

$16.00

c)

$8.00

d)

Jan did not get any change.

39.

Betty saw a pair of shoes that was $65 retail prices. But the store had a sale of 30% off! How much money is the discount? (Just put the number)

(a)

40.

Jacob wants a $400 gaming system that is 60% off! How much does he end up paying for the gaming system? (Just put the number)

(a)

41.

The original price of a pair of shoes is $29.99 and their is a mark down of 10% because the shop is having a black friday sale. What is the sale amount of the pair of shoes?

a)

$2.99

b)

$32.99

c)

$27

42.

A basketball backboard set that sold for $79 is discounted 15%. What is the sale price?

a)

$67.15

b)

$11.85

c)

$90.88

d)

$68.85

43.

During a back-to school sale, a store sold jeans at a 25% discount. If one pair of jeans originally cost $ 35, what was its price during the sale?

a)

$ 17.50

b)

$ 21.75

c)

$ 8.75

d)

$ 26.25

44.

What is the retail price for a shirt that a store buys for $10 after a 30% markup?

a)

$7.00

b)

$3.00

c)

$13.33

d)

$13.00

45.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

46.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

47.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

48.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

49.

^x/₄- 3 = 9

a)

48

b)

24

c)

3

d)

36

50.

Solve for x. Round to the nearest hundredth if necessary.

2.2x + 8.45 = 15.05

a)

x = 3

b)

x = 1.52

c)

x = 2.04

d)

x = 4.4

51.

$Solve\ for\ k:\ 4\ +\ \frac{1}{2}k\ =\ 3$

a)

14

b)

-14

c)

4

d)

-2

52.

Translate this sentence: Four less than six times a number is 14.

a)

$4<6x=14$

b)

$4-6x=14$

c)

$6x-4=14$

d)

$6\left(x-4\right)=14$

53.

-27 = - 7 - 4c

a)

5

b)

6

c)

13

d)

4

54.

Solve $2.5p-4.1=1.5$

a)

$p=0.26$

b)

$p=0.764$

c)

$p=2.24$

d)

$p=22.4$

55.

Solve for x:

a)

4 ¾

b)

3 ⅓

c)

5 ⅜

d)

3 ⅙

56.

Translate this sentence: Seven more than three times a number is 19.

a)

$7+3x=19$

b)

$7\left(3x\right)=19$

c)

$7x+3=19$

d)

$7\left(3+x\right)=19$

57.

$\frac{3}{4}x+1=1\frac{9}{20}$

a)

$\frac{3}{5}$

b)

$\frac{1}{2}$

c)

3

d)

4

58.

-3 + 5x = 17.5

a)

15.5

b)

6.5

c)

2.9

d)

4.1

59.

Solve the equation for x:
2x + 3x + 4 = 44

a)

x = 8

b)

x = 9

c)

x = 10

d)

x = 11

60.

a)

-49

b)

153/5

c)

49

d)

85

61.

Solve by clearing the fractions first:

a)

x = -4

b)

x = 4

c)

x = 3

d)

x = -12

62.

Solve the equation for x:
8x - 6x + 4 + 5 = 19

a)

x = 4

b)

x = 5

c)

x = 6

d)

x = 7

63.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

64.

What was done to solve the equation?

(Line 1) 5x - 8 = 32

(Line 2) 5x = 40

(Line 3) x = 8

a)

add 8 to both sides, then divide both sides by 5

b)

add 8 to both sides, then divide both sides by 40

c)

subtract 8 from both sides, then divide both sides by 5

d)

subtract 8 from both sides, then multiply both sides by 5

65.

What is the first step to solve for x. $-9\ +\ 3x\ =\ 10$

a)

Subtract 9 from both sides of the equation.

b)

Add 9 to both sides of the equation.

c)

Subtract 3 from both sides of the equation.

d)

Add 10 to both sides of the equation.

66.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

67.

The goal of solving two-step equations is to:

a)

francine

b)

Find the coefficient

c)

Find the value of the variable

68.

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

a)

Inverse operations

b)

math

c)

variable

d)

PEMDAS

69.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

70.

^{(a + 3)}⁄₇= 3

a)

a= 18

b)

a= 21

c)

a= 4

d)

a= 11

71.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

72.

3c + 5 = 23

(a)

73.

a)

145

b)

165

c)

180

d)

190

74.

Solve the equation

a)

28

b)

32

c)

29

d)

-28

75.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

76.

In the equation 4y +-9 =-36
y = -4

a)

True

b)

francine

c)

False

77.

Solve for x.

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

78.

Solve. -3x - 12 = 15

a)

9

b)

-1

c)

27

d)

-9

79.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

80.

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

81.

5x-1=19

a)

$x=4$

b)

$x=10$

c)

$x=5$

d)

$x=15$

82.

$\frac{x}{4}+8=10$

a)

$x=-4$

b)

$x=-8$

c)

$x=8$

d)

$x=16$

83.

Solve for y.
-2y=20

a)

y=-10

b)

y=2

c)

y=-20

d)

y=15

84.

$5x\ -\ 7\ \ge\ 8$

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

85.

6 + 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

86.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

87.

-4x + 14 ≤ 54

a)

x ≥ -10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

88.

4x + 1 > 13

a)

x > 48

b)

x < 3

c)

x > 3.5

d)

x > 3

89.

2x+6>12

a)

x>9

b)

x>3

c)

x<9

d)

x<3

90.

-4x-7≥21

a)

x≥7

b)

x≥-7

c)

x≤8

d)

x≤-7

91.

Solve:
8m - 9 > 71

a)

m > 10

b)

m > 1

c)

m < 1

d)

m > -48

92.

3x - 2 < 13

a)

x > 3.67

b)

x > 5

c)

x < 5

d)

x < 3.67

93.

2x + 3 ≤ 15

a)

x ≤ 6

b)

x ≥ -6

c)

x ≤ 9

d)

x≤ -9

94.

Write the phrase as an expression.
twice a number x plus 8 is greater than 12

a)

2 + 8x < 12

b)

2x + 8 > 12

c)

2(x+8) ≠ 12

d)

8(2+x)

95.

hint: move 11 first

a)

x ≤ 12

b)

x ≥ 12

c)

x ≥ 14

d)

x ≥ 23

96.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

97.

6(n + 2) < -72

a)

n < -14

b)

n < 35/3

c)

n < -10

d)

∞

98.

Solve the inequality.
-8k - 4 ≤ -60

a)

k < 7

b)

k > 7

c)

k ≤ 7

d)

k ≥ 7

99.

Two angles added together to produce 90 degrees

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

100.

Find the missing angle.

a)

60

b)

70

c)

50

d)

140

101.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

102.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

103.

Find the missing angle.

a)

47

b)

37

c)

57

d)

137

104.

complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

105.

complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

106.

What is the measure of the missing angle?

a)

76

b)

66

c)

156

d)

154

107.

What is the definition of a supplementary angle?

a)

Two angles that measure 180 degrees

b)

A right angle

c)

Two angles that measure 90 degrees

d)

Two angles that have the same measure

108.

What is the definition of a complementary angle?

a)

Two angles that have the same measure

b)

A straight line that equals 180 degrees

c)

Two angles that measure 90 degrees

d)

Two angles that measure 180 degrees

109.

What is an example of a pair of complementary angles?

a)

45° and 48°

b)

79° and 30°

c)

150° and 32°

d)

36° and 54°

110.

Find the missing angle.

a)

28°

b)

118°

c)

62°

d)

180°

111.

An angle measures 14°. What is the measure of the complementary angle?

a)

76°

b)

166°

c)

14°

d)

68°

112.

What is an example of a pair of complementary angles?

a)

13° and 45°

b)

10° and 170°

c)

81° and 9°

d)

90° and 3°

113.

What is the measure of the missing angle?

a)

76

b)

86

c)

166

d)

156

114.

If ∠H and ∠J are complementary, and the measure of ∠H is 35°, what is the measure of ∠J?

a)

145

b)

55

c)

60

d)

65

115.

If ∠A and ∠B are supplementary, and the measure of ∠A is 120°, what is the measure of ∠B?

a)

180

b)

50

c)

60

d)

80

116.

Choose all answers that apply. Which of the following angles are supplementary?

a)

42 and 48

b)

12 and 78

c)

78 and 102

d)

38 and 142

117.

How are these angles related?

a)

Vertrical

b)

Complementary

c)

Adjacent

d)

Supplementary

118.

Choose all that apply: Which angle measurements below are supplementary to each other?

a)

144 and 36

b)

36 and 54

c)

40 and 50

d)

126 and 54

e)

21 and 159

119.

a)

1/2, 50%

b)

1/3, 33.3%

c)

2/3, 66.7%

d)

1/5, 20%

120.

a)

0%

b)

1/6, 16.7%

c)

1/2, 50%

d)

6/6 100%

121.

a)

0%

b)

1/4, 25%

c)

1/2, 50%`

d)

100%

122.

a)

0%

b)

1/2, 50%

c)

1/6, 16.7%

d)

100%

123.

a)

1/5, 20%

b)

4/5, 80%

c)

2/3, 66.7%

d)

0% impossible

124.

a)

0%

b)

1/2, 50%

c)

2/3, 66.7%

d)

100%

125.

a)

0%

b)

100%

c)

2/3, 66.7%

d)

3/5, 60%

126.

a)

1/6, 16.7%

b)

5/6, 83.3%

c)

1/5, 20%

d)

100%

127.

a)

0%

b)

1/4, 25%

c)

1/2, 50%

d)

100%

128.

a)

0%

b)

1/3, 33.3%

c)

3/4, 75%

d)

100%

129.

a)

2/9, 22%

b)

5/9, 56%

c)

1/9, 11%

d)

7/9, 78%

130.

a)

0%

b)

1/5, 20%

c)

4/5, 80%

d)

100%

131.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

132.

Cristian was headed to work. What is the probability that he misses the bus and is still on time to work?

a)

1/4

b)

1/2

c)

3/4

d)

1

133.

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?

a)

2/18

b)

1/9

c)

2/20

d)

1/10

7th Final Review 2 (Circles, Equations, Angles, Probability)

Total questions: 133

Worksheet time: 6hrs 23mins

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