Free Printable 2.1 - 2.4 Review

1.

What is the domain of the function

f\left(x\right)=2x^2+3x-7

?

a)

All Real Numbers

b)

$\left(-\infty,-7\right]$

c)

$\left[-7,\infty\right)$

d)

$\left\{-4,-3,-1,0,2,7\right\}$

2.

Determine the Range of the relation

$\left\{\left(1,-2\right),\left(-3,4\right),\left(5,-6\right),\left(-7,8\right)\left(0,0\right)\right\}$

a)

All Real Numbers

b)

$\left\{1,-3,5,-7,0\right\}$

c)

$\left\{-6,-2,\ 0,\ 4,\ 8\right\}$

d)

Not enough information provided

3.

Determine whether the graph represents a function or not.

a)

Yes, it is a function.

b)

No, it is not a function.

4.

Which of the following intervals represents the decreasing interval of the pictured function?

a)

$\left(-\infty,0\right)\cup\left(2,\infty\right)$

b)

$\left(0,2\right)$

c)

The graph is constant.

5.

Which of the following represents an equation in point slope form?

a)

$f\left(x\right)=4x-10$

b)

$y-5=\frac{2}{3\ }\left(x-7\right)$

c)

$x=8$

d)

$y=-3$

6.

Which of the following represents the equation for a vertical line?

a)

$f\left(x\right)=4x-10$

b)

$y-5=\frac{2}{3\ }\left(x-7\right)$

c)

$x=8$

d)

$y=-3$

7.

Which two equations are perpendicular?

a)

$y=-\frac{2}{3\ }x+5$

b)

$y=\frac{2}{5}x-6$

c)

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

d)

$y=-\frac{3}{2\ }x-8$

8.

Which of the following two equations are parallel?

a)

$x=4$

b)

$x=-9$

c)

$y=-1$

d)

$y=4x$

9.

Determine the x-intercept and y-intercept of the equation

2x+4y-8=0

a)

(4,0) and (0,2)

b)

(0,4) and (2,0)

c)

(-4,0) and (0,-2)

d)

(0,-4) and (-2,0)

10.

Which could be the graph of the equation $f\left(x\right)=\frac{1}{3}x-2$

a)

b)

c)

d)

11.

Find the slope.

a)

²/₅

b)

^-2/₅

c)

⁵/₂

d)

^-5/₂

12.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

13.

Identify the y-intercept in y = 3x + 5

a)

0

b)

3

c)

-2

d)

5

14.

What is the slope in the equation: y = 4x+3

a)

3

b)

4x

c)

4

d)

x

15.

Which graph represents the table?

a)

b)

c)

d)

16.

Find the slope given the following points:
(-1, 2) (3, 5)

a)

Zero

b)

7/4

c)

3/4

d)

undefined

17.

FInd the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

18.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

a)

$2

b)

$308

c)

$1.57

d)

$265

19.

In a direct variation, y = 39 when x = 3. Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

20.

Is this a direct variation?
y=2x

a)

yes

b)

no

21.

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

a)

$394

b)

$440

c)

$472.80

d)

$512.20

22.

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. Find the amount of pay for 31 hours of work.

a)

$3813

b)

$620

c)

$190.65

d)

$4.96

23.

Write an equation for this relationship.

a)

y=4x

b)

y=1/8x

c)

y=1/4x

d)

y=8x

24.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

25.

What does the Direct Variation Equation look like?

a)

y= kx

b)

y = mx + b

c)

y = b

d)

y = x

26.

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

a)

y=20x

b)

y=84x

c)

y=7/3x

d)

y=3/7x

27.

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

a)

y=1344x

b)

y=100x

c)

y=5.25x

d)

y=4/21x

28.

If x and y vary directly, what is the missing value in the points (x, 4) and (-14, -8)?

a)

x = -7

b)

x = -2.3

c)

x = 2.3

d)

x = 7

29.

Is the given table a direct variation? If so, what is the constant?

a)

Yes; 1/4

b)

Yes; 4

c)

Yes; 2

d)

No

30.

If y varies jointly with the product of x and z, and y = 105 when x = 5 and z = 7, find y when x = 9 and z = 10.

a)

270

b)

180

c)

360

d)

255

31.

If y varies jointly with the product of x and z, and y = 1000 when x = 10 and z = 20, find y when x = 8 and z = 10.

a)

100

b)

200

c)

300

d)

400

32.

The variable x is in joint variation with y and z. When the values of y and z are 4 and 6, x is 16. What is the value of x when y = 8 and z =12?

a)

32

b)

64

c)

48

d)

96

33.

A is in joint variation with B and square of C. When A = 144, B = 4 and C = 3. Then what is the value of A when B = 6 and C = 4?

a)

12

b)

24

c)

36

d)

384

34.

If a varies jointly as b and the square root of c, and a = 21 when b = 5 and c = 36, find a when b = 9 and c = 225.

a)

94.5

b)

196

c)

256

d)

289

35.

z varies jointly with x and y. If x = 2, y = 3 and z = 4, find z when x = -6 and y = 2.

a)

-6

b)

-8

c)

-10

d)

-12

36.

z varies jointly with x and y. If x = 5, y = -1, and z = 10. Find z when x = -1/2 and y = 7.

a)

5

b)

6

c)

7

d)

8

37.

z varies jointly with x and y. If x = 7, y = 3 and z = -14, find y when z = -8 and x = 3.

a)

3

b)

4

c)

5

d)

6

38.

z varies jointly with x and y. If x = 8, y = -3 and z = -6, find x when z = 12 and y = -16.

a)

-3

b)

-4

c)

-6

d)

-9

39.

The equation for a Joint Variation is represented as:

a)

y = kx

b)

y = k/x

c)

y = kxz

d)

y = kx/z

40.

Suppose y varies directly as x.
If y = 22.5 when x = 15, find y when x = 20.

a)

1.5

b)

337.5

c)

30

d)

16.875

41.

Suppose y varies jointly as x & z.
If y = -180 when z = 15
and x = -3,
then find y when x = 7 and z = -5.

a)

-140

b)

140

c)

-4

d)

4

42.

Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.

a)

300

b)

75

c)

1,875

d)

12

43.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

44.

The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 3 cm on a side.

a)

12 g

b)

6 g

c)

27 g

d)

54 g

45.

The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 65 miles per hour?

a)

308.05 ft

b)

295.75 ft

c)

296.09 ft

d)

253.5 ft

46.

The volume of wood in a tree varies jointly as the height of the tree and the square of the distance around the tree trunk. If the volume of wood is 15.84 cubic feet when the height is 22 feet and the distance around the trunk is 3 feet, what is the volume of wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk?

a)

44.96 ft³

b)

49.96 ft³

c)

40.96 ft³

d)

32.96 ft³

47.

If f varies jointly as q² and h, and f = 96 when q = 4 and h = 3, find q when f = 48 and h = 6.

a)

4

b)

2

c)

6

d)

3

48.

If m varies directly as p, and m = 35 when p = 5, find m when p is 6.

a)

42

b)

36

c)

25

d)

49

49.

If x varies inversely as v, and x = 35 when v = 3, find x when v = 15.

a)

7

b)

9

c)

5

d)

21

50.

The frequency of a vibrating string varies inversely as its length. A string 3 feet long vibrates 175 cycles per

second. Find the frequency of a 5 foot string.

a)

105 cycles

b)

291.7 cycles

c)

2625 cycles

d)

332 cycles

51.

The force of the wind blowing on a vertical surface varies jointly as the area of the surface and the square of the

velocity. If a wind blowing at 50 mph exerts a force of 75 pounds on a surface of 500 ft², how much force will a

wind of 75 mph place on a surface of 10 ft²?

a)

2.25 pounds

b)

3.375 pounds

c)

0.67 pounds

d)

1 pound

52.

The time required to process a shipment of goods at Wal-Mart varies directly with the number of items in the

shipment and inversely with the number of workers assigned. If 15,000 items can be processed by 8 workers in 10 hours, then how long would it take 12 workers to process 20,000 items?

a)

6.5 hours

b)

7.75 hours

c)

8.9 hours

d)

10.2 hours

53.

HyVee found that the demand for Coke products varies inversely as the price of the product. When the price of a Coke product is $2.75, the weekly demand is 1250. Find the weekly demand if the price is raised to $4.00.

a)

859.4

b)

1818.2

c)

1604.4

d)

723.5

54.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

55.

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

56.

Write the equation of the line

in Point-Slope form that goes through

the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

57.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

58.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

59.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

60.

For the equation
y - 3 = 2(x + 4),
which of the following is true?

a)

The line has m = 2 passing through the point (4, -3)

b)

The line has m = 2 passing through the point (3, -4)

c)

The line has m = 2 passing through the point (-4, 3)

d)

The line has m = 2 passing through the point (-3, 4)

61.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

62.

What is the y intercept of

the line with the equation

y - 6 = -2(x + 5)

a)

-4

b)

-5

c)

-10

d)

6

63.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

64.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

65.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

66.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

67.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

68.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

69.

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

70.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

71.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

72.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

73.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

74.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

75.

Which equation matches the graph?

a)

y= 2x + 5

b)

y= 2x

c)

y= -2x + 5

d)

y= -2x

76.

Which equation matches the graph?

a)

y= 2x + 5

b)

y= 2x

c)

y= -2x + 5

d)

y= -2x

77.

Which equation matches the graph?

a)

y= 1x + 3

b)

y= 1x

c)

y= -1x + 3

d)

y= -1x

78.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

79.

What would the slope of the graph be?

a)

Positive

b)

Negative

c)

0

d)

Undefined

80.

Write the equation of the line in slope-intercept form.

a)

y = -2x - 5

b)

y = 2x - 5

c)

y = -2x

d)

y = -1/2x - 5

81.

Write an equation for the line in slope-intercept form.

a)

y = 1/2x

b)

y = -1/2x

c)

y = 2x + 1

d)

y = -2x - 2

82.

Stephanie owes her mom $80 for a recent trip to the mall. She plans to payback $15 a month until it is paid back. Write an equation in slope-intercept form that relates the amount she owes, y, to the amount of months, x.

a)

y = 15x - 80

b)

y = 15x + 80

c)

y = -15x + 80

d)

y = -15x - 80

83.

At 10:00 pm, there was already 8.6 inches on the ground. If it is to snow 2 inches per hour after, what equation could be used to model the situation after x amount of hours.

a)

y = 2x + 8.6

b)

y = 2x - 8.6

c)

y = -2x + 8.6

d)

y = 1/2x + 8.6

84.

Write an equation for the table in slope-intercept form.

a)

y = -2x + 5

b)

y = 1/2x + 5

c)

y = 5x - 2

d)

y = 3x - 6

85.

What is the graph's equation?

a)

y = 4/3x - 1

b)

y = -4/3x - 1

c)

y = 3/4x + 1

d)

y = - 3/4x - 1

86.

Write an equation for the table relating x and y in slope-intercept form.

a)

y = 2x + 2

b)

y = -3x + 2

c)

y = 6x + 5

d)

y = -2x - 2

87.

What is the equation for the table above?

a)

y = -3x + 20

b)

y = 3x + 20

c)

y = -1/3x + 20

d)

y = 6x - 2

88.

Which value is the slope in the equation:

y= 4x + 2

a)

4

b)

2

c)

x

89.

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

a)

4

b)

-5

c)

5

d)

1/5

90.

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

a)

undefined

b)

0

c)

22

d)

6

91.

What is the slope formula?

a)

b)

c)

d)

92.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

93.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

94.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

95.

Find the slope and y-intercept of the following:

3x - y = 9

a)

Slope = 3, y-intercept = -9

b)

Slope = 9, y-intercept = 3

c)

Slope = 3, y-intercept = 9

d)

Slope = -1, y-intercept = 3

96.

Find the slope and y-intercept of:

2x - 3y = -12

a)

slope = 2/3, y-intercept = -12

b)

slope = -2/3, y-intercept = -3

c)

slope = 2/3, y-intercept = 4

d)

slope = -12, y-intercept = -3

97.

What is the slope:

5x + 10y = 30

a)

m = -1/2

b)

m = 1/2

c)

m = 3

d)

m = 1/3

98.

What is the y-intercept:

7x + y = 10

a)

b = -10

b)

b = 1/7

c)

b = 7

d)

b = 10

99.

Find the slope given:

Remember your formula..

(-3, 8) and (10, 4)

a)

-4/13

b)

-6/5

c)

-13/4

d)

5/6

100.

What is the standard form of a linear equation?

a)

y = mx + b

b)

Ax + By = C

101.

Find the slope and y-intercept of the following:

y = -8x + 13

a)

slope = -8/13, y-intercept = 1

b)

slope = -8, y-intercept = 13

c)

slope = 8/13, y -intercept = -8

d)

slope = 13, y-intercept = -8

102.

What is the slope of the line:

8x - 24y = 32

a)

m = 3

b)

m = 8

c)

m = 1/3

d)

m = -24

103.

What is the y - intercept of the following:27x - 9y = 27

a)

y-intercept = -3

b)

y-intercept = 3

c)

y-intercept = 1

d)

y-intercept = 27

104.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

105.

What is the domain of the graph?

a)

y≥1

b)

x ≥ 1

c)

All real numbers

d)

none of these

106.

What is the range of the graph?

a)

y≥1

b)

x≥1

c)

All real numbers

d)

none of these

107.

What is the domain?

a)

x = 2

b)

−∞ < x < ∞

c)

y = 2

d)

none of these

108.

What is the range?

a)

x = 2

b)

−∞ < x < ∞

c)

y = 2

d)

none of these

109.

What is the proper domain?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

110.

What is the domain of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

111.

What is the domain?

a)

-3 < y ≤ 3

b)

-4 ≤ y ≤ 5

c)

-4 ≤ x ≤ 5

d)

-3 < x ≤ 3

112.

What is the range?

a)

-3 < y ≤ 3

b)

-4 ≤ y < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

113.

What is the domain?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

114.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

115.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

116.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

117.

What is the Domain of this linear function?

a)

-6 ≤ x ≤ 6

b)

0 ≤ x ≤ 7

c)

2 ≤ x ≤ 7

d)

No Solution

118.

What is the Range of this linear function?

a)

-6 ≤ y ≤ 6

b)

0 ≤ y ≤ 6

c)

No Solution

d)

4 ≤ y ≤ 3

119.

What is the range?

a)

-7≤x≤6

b)

-7<x<6

c)

-8<y<2

d)

-8≤y≤2

2.1 - 2.4 Review

Total questions: 119

Worksheet time: 8hrs 13mins

Similar Resources on Wayground