Free Printable Pre-Algebra Final Review 2 (Slope, Graphing, Geo, Systems)

1.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

2.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

3.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

4.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

5.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

6.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

7.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

8.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

9.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

10.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

11.

What type of slope?

a)

zero slope

b)

undefined

c)

negative

d)

positive

12.

What does "m" stand for in the slope formula?

a)

y axis

b)

slope

c)

y coordinate

d)

x coordinate

13.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

14.

Find the slope given the points (3,18) and (0,18).

a)

undefined

b)

0

c)

22

d)

6

15.

Find the slope given the points (1,4) and (5,9).

a)

5/4

b)

4/5

c)

-5/4

d)

2/3

16.

Find the slope

a)

5/2

b)

-5/2

c)

2/5

d)

-2/5

17.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2/1

d)

-2/1

18.

What is the slope of the line pictured?

a)

2

b)

-2

c)

1/2

d)

-1/2

19.

What is the slope of the line that passes through the points (2, 7) and (8, -5)?

a)

2

b)

-2

c)

1/3

d)

-1/3

20.

Which line is the steepest?

a)

1st

b)

2nd

c)

3rd

d)

All are the same steepness

21.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

22.

The graph of a linear function is always straight?

a)

true

b)

false

23.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

24.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

25.

Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

26.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

27.

What is the slope of the graph?

a)

-2

b)

2

c)

1/2

d)

-1/2

28.

The starting point in a situation is represented by the _______________

a)

slope

b)

y-intercept

c)

m

d)

x value

29.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

30.

How would you write the equation with a slope of -3 and a y-intercept of 1

a)

y= -3x + 1

b)

y= -x - 3

c)

y= -3x - 1

d)

y= x + 3

31.

How would you write the equation with a slope of 4/5 and a y-intercept of -1

a)

y= -x + 4/5

b)

y= x + 4/5

c)

y= 4/5x - 1

d)

y= 2/5x + 4/5

32.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

33.

This line has a __________ slope.

a)

Negative

b)

Positive

c)

Undefined

d)

No Slope

34.

What is the slope?

$y=2x-5$

(a)

35.

What is the slope?

$y=x+3$

(a)

36.

What is the slope?

$y=\frac{3}{5}x-1$

(a)

37.

What is the y-intercept of the line graphed below?

a)

3
3

b)

4

c)

-3

d)

4/3

38.

What is the slope of Line A?

a)

1/2

b)

-1/2

c)

2

d)

-2

39.

Determine the slope and y-intercept. $y=\frac{3}{2}x+3$

a)

slope: 5

y-intercept: 3/2

b)

slope: 3/2

y-intercept: 3

c)

slope: 4

y-intercept: 3/2

d)

slope: 1/5

y-intercept: 5

40.

What is the slope of the graph?

a)

-2

b)

2

c)

1/2

d)

-1/2

41.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

42.

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.

a)

C = 50h + 25

b)

C = 25h + 50

c)

C = 50h - 25

d)

H = 25h - 50

43.

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation.

a)

y = - 2,000x + 30,000

b)

y = - 2,000x - 30,000

c)

y = 30,000x + 2,000

d)

y = -30,000x + 2,000

44.

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

a)

y = 30x + 20

b)

y = 20x + 30

c)

y = 50x

d)

y = 60x

45.

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

a)

y = 4x + 1.50

b)

y = 1.50x + 4

c)

y = -4x +1.50

d)

y = 4x - 1.50

46.

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

a)

y = 20x + 5

b)

y = 5x +20

c)

y=-5x + 20

d)

y = 5x - 20

47.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

48.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

49.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

50.

What is the equation of this line?

a)

y= -2/3 x -2

b)

y= 2/3 x -2

c)

y= -2/3 x + 2

d)

y= 2

51.

Which could be the graph of the equation y = 1/3x - 2?

a)

b)

c)

d)

52.

Which graph best represents the equation y = -3x + 4?

a)

b)

c)

d)

53.

Which is the graph of the equation y = -2x + 1?

a)

b)

c)

d)

54.

Which graph represents y = 3x?

a)

b)

c)

55.

This line has a __________ slope.

a)

Negative

b)

Positive

c)

Undefined

d)

No Slope

56.

This lines has a __________ slope.

a)

Undefined

b)

Positive

c)

Negative

d)

No Slope

57.

The y intercept is AWESOME! It helps us to know...

a)

Where our line will end.

b)

If our line is positive or negative.

c)

Where to start graphing our line.

58.

Which variable represents slope in the linear equation y=mx+b?

a)

y

b)

x

c)

m

d)

b

59.

Which variable represents y-intercept in the linear equation y=mx+b?

a)

y

b)

x

c)

m

d)

b

60.

What is the equation of the line graphed?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

61.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

62.

Find the Unit Rate.
405 rotations in 5 minutes

a)

81 rotations per minute

b)

73 rotations per minute

c)

18 rotations per minute

d)

810 rotations in 10 minutes

63.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

64.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

65.

A job pays $56 for 8 hours of work. How much money does the job pay per hour?

a)

$7 per hour

b)

$8 per hour

c)

$6 per hour

d)

$7.50 per hour

66.

Is this graph proportional?

a)

Yes

b)

No

67.

How do you find k?

a)

x/y

b)

y/x

c)

y=kx

d)

x ⋅ y

68.

Identify the constant of proportionality. Write an equation to relate weight, w, to the price, p.

a)

k = .45; p = .45w

b)

k = .22; p = .22w

c)

k = 45; p = 45w

d)

k = 22; p = 22w

69.

Is this graph proportional?

a)

Yes

b)

No

70.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

1/14

71.

What does the point (2, 94) represent in this situation?

a)

Every week, they earn $94.

b)

After 94 weeks, they save $2.

c)

After 1 week, they save $47.

d)

After 2 weeks, they save $94.

72.

What does the ordered pair (20, 3000) represent?

a)

The machine folds 3,000 sheets in 20 minutes.

b)

The machine folds 20 sheets in 3,000 minutes.

c)

There are 3,000 sheets in 20 minutes.

d)

There are 20 sheets in 3,000 minutes.

73.

Perry earned $96 shoveling snow from 8 driveways. At that rate, how much would he have made if he had shoveled only 6 driveways?

a)

$120

b)

$12

c)

$84

d)

$72

74.

Aniyah's car can travel 228 miles on 6 gallons of gas. Which is the equation to represent the distance traveled y, in terms of the number of gallons x.

a)

x=38y

b)

x=0.03y

c)

y=0.03x

d)

y=38x

75.

y=3x represent the relationship between the number of miles y, and time in hours. If Ms. Dolan travels 15 miles, how many hours did it take?

a)

45

b)

1/5

c)

5

d)

18

76.

a)

Ballon A- y=4x

b)

Ballon A- y=9x

c)

Balloon B= y=0.25x

d)

Ballon B- y=4x

77.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

78.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

79.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

80.

The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

a)

x=8

b)

x=3

c)

x=11

d)

x=5

81.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

82.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

a)

1s + 3c = 38
2s + 3c = 52

b)

3s + 1c = 38
3s + 2c = 52

c)

s + c = 38
s + c = 52

d)

3s + 3c = 38
1s + 2c = 52

83.

Chase is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, Chase made a total of $78.50 and sold a total of 87 nachos and sodas combined. How much of each item did he sell?

a)

35 nachos, 52 sodas

b)

18 nachos, 69 sodas

c)

52 nachos, 35 sodas

d)

61 nachos, 26 sodas

84.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

85.

Will the solution (-3, -7) make the following system of equations a true statement?
y = 4x + 5
y = x – 4

a)

YES

b)

NO

86.

Find the value of "c"

a)

c = 8

b)

c = 10

c)

c = √52

d)

c = √20

87.

What is the length of the hypotenuse in the triangle shown?

a)

3

b)

4

c)

5

d)

8

88.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.5 feet

c)

13 feet

d)

11.6 feet

89.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

a)

9ft

b)

11ft

c)

6ft

d)

14ft

90.

List in order from greatest to least.
56%, $\frac{\sqrt{3}}{5},$ $\frac{\pi}{10},$ 1.07

a)

56%, 1.07, $\frac{\sqrt{3}}{5}$ $\frac{\pi}{10}$

b)

56%, $\frac{\pi}{10}\$ , 1.07 ,

c)

$\frac{\pi}{10}$ , $\frac{\sqrt{3}}{5}$ 56%, 1.07

d)

1.07, 56%, $\frac{\sqrt{3}}{5},$ $\frac{\pi}{10}$

91.

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

a)

75 cm²

b)

105 cm²

c)

135 cm²

d)

30 cm²

92.

Which of the following sentences would belong in the proof that describes this image?

a)

The sum of the areas of the two smaller squares is equal to the area of the large square.

b)

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

c)

The difference of the areas of the two smaller squares is equal to the area of the large square.

d)

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

93.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

94.

If a triangle has a hypotenuse with a length of 12 cm and a leg with a length of 10 cm, how long is the other leg rounded to the nearest tenth?

a)

22.2 cm

b)

6.6 cm

c)

2.4 cm

95.

Paula completely covered a square wall using 87.5ft ²of wallpaper without any overlap. Which measurement is closest to the side length of this wall in feet?

a)

22 ft

b)

44 ft

c)

9 ft

d)

7 ft

96.

a)

The diagonal is 26 ft

b)

The diagonal is 31 ft

c)

The diagonal is 21.8 ft

d)

The diagonal is 20.9 ft

97.

a)

20 cm

b)

400 cm

c)

10 cm

d)

29.2 cm

98.

a)

A.

b)

B.

c)

C.

99.

a)

A.

b)

B.

c)

C.

d)

D.

100.

What is the longest side of a right triangle called?

a)

A. Leg A

b)

B. Leg B

c)

C. Hypotenuse

d)

D. Pythagorean Theorem

101.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

42 miles

c)

37 miles

d)

40 miles

102.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

103.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

104.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

105.

What is the area of this composite shape?

a)

14 in²

b)

68 in²

c)

36 in²

d)

24 in²

106.

Find the area of the figure

a)

43 sq inches

b)

102 sq inches

c)

37 inches

d)

90 sq inches

107.

Find the area of this shape

a)

296.96 m2

b)

248.96 m2

c)

98.24 m2

d)

73.12 m2

108.

Find the perimeter of this shape, use 3.14 for pi

a)

25.76 m

b)

42.56 m

c)

38.96 m

109.

Find the area of this shape

a)

153.93 in2

b)

115.43 in2

c)

230.86 in2

110.

What is the area of this shape?

a)

108 cm²

b)

60 cm²

c)

432 cm²

d)

216 cm²

111.

What is the area of this composite shape?

a)

14 in²

b)

68 in²

c)

36 in²

d)

24 in²

112.

What is the area of the composite shape?

a)

50cm²

b)

25cm²

c)

40cm²

d)

35cm²

113.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

114.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

250

b)

200

c)

283

d)

180

115.

Michael has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?

a)

4239 in³

b)

423.9 in³

c)

1695.6 in³

d)

1695.6 in²

116.

A cylinder has a height of 4 m and a diameter or 4 m. What is the volume? Uses the π key.

a)

201.06 m³

b)

50.27 m³

c)

201.06 m²

d)

50.27 m²

117.

A cylinder has a height of 3 inches and a radius of 3 inches. What is the volume? Use the π key.

a)

28.27 in³

b)

84.82 in³

c)

254.47 in³

d)

9.42 in³

118.

Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?

a)

377 cubic feet

b)

942 cubic feet

c)

2,958 cubic feet

d)

3,768 cubic feet

119.

What does the "B" in the volume formula V = B x h stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

120.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

121.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

40 cm²

c)

80 cm²

d)

40 cm³

122.

Find the volume of this triangular prism.

a)

1440 cm³

b)

60 cm³

c)

720 cm³

d)

180 cm³

123.

Find the volume of the figure.

a)

210 in3

b)

260 in3

c)

2160 in3

d)

2610 in3

124.

Find the volume of this prism.

a)

360 m³

b)

242 m³

c)

288 m³

d)

576 m³

125.

Find the volume

a)

900 yd³

b)

180 yd³

c)

1800 yd³

d)

150 yd³

126.

What is the volume of both shapes?

a)

150 cm³

b)

65 cm³

c)

300 cm³

d)

225 cm³

127.

What is the volume of the solid shown below?

a)

225 in

b)

255 in

c)

285 in

d)

360 in

128.

What is the volume of this figure?

a)

24.6 yd^3

b)

12.75 yd^3

c)

27.5 yd^3

d)

25.5 yd^2

129.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

130.

6 - 3a = 21

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

131.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

132.

3\ +\ \frac{1}{4}a\ =\ 31

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

133.

20 = 2 - a

a)

a= 18

b)

a= -18

c)

a= -10

d)

a= 12

134.

7\ +\ \frac{a}{3}=\ 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

135.

-5 - 6a = -59

a)

a= 11

b)

a= -6

c)

a= 9

d)

a= 2

136.

9 = 2s + 1

a)

4

b)

-4

c)

3.5

d)

5

137.

4c - 6 = 2

a)

2

b)

-2

c)

1

d)

3

138.

5d - 6 = 9

a)

3

b)

-3

c)

0.67

d)

10

139.

2k + 12 = -4

a)

-8

b)

8

c)

-10

d)

4

140.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

141.

-5 = 3m - 14

a)

3

b)

-3

c)

12

d)

-6.3

142.

Which step should you perform first in the following equation:

\frac{2}{3}x\ +\ 7\ =\ 15

a)

Add 7 to both sides

b)

Subtract 7 from both sides

c)

Multiply both sides by $\frac{2}{3}$

d)

Multiply both sides by $\frac{3}{2}$

143.

Which step should you perform first in the following equation:

21\ =\ 9\ -\ 4g

a)

Divide both sides by -4

b)

Divide both sides by 4

c)

Add 9 to both sides

d)

Subtract 9 from both sides

Pre-Algebra Final Review 2 (Slope, Graphing, Geo, Systems)

Total questions: 143

Worksheet time: 9hrs 9mins

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