Free Printable Mega Algebra Bank

1.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

2.

Slope is know as

rise/______

a)

run

b)

fall

c)

none

d)

rise

3.

Find the slope of the line below using rise/run.

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

3

d)

$\frac{1}{3}$

4.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

5.

What is the formula for finding slope?

a)

$y=mx+b$

b)

$Ax+By=C$

c)

$\frac{y_2-y_1}{x_2-x_1}$

6.

What is the slope of a line between (-4,14) and (-16,8)?
Reminder!

Formula:

$m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$

(a)

7.

Find the slope. Simplify, if you can.

a)

$\frac{2}{5}$

b)

$\frac{5}{2}$

c)

$2\ \frac{1}{2}$

d)

2

8.

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

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

9.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

10.

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

a)

2

b)

3

c)

5

d)

Cannot be Determined

11.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

12.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

13.

Find the slope from the given points:

(3,-1) (4,7)

(a)

14.

Write a equation: A plumber charges $50 for a house call plus $12 per hour for labor.

a)

y = 50 x + 12

b)

y =12 x + 50

c)

y = 62 x

d)

x = 50 + 12y

15.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

16.

What is the y-intercept?

a)

-2

b)

2

c)

-4

d)

4

17.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

18.

What is the slope and y-intercept of the table?

a)

m=5/6 b=6

b)

m=-5/6 b=5

c)

m=6/5 b=0

d)

m=-6/5 b=-1

19.

Which y - intercept and slope applies to the graph?

a)

y - intercept = 2, slope = 2

b)

y - intercept = -2, slope = 1/2

c)

y - intercept = -2, slope = 2

d)

y - intercept = 1, slope = 2

20.

y -intercept is where the line ______________.

a)

begins

b)

crosses the x-axis

c)

crosses the y-axis

d)

crosses each other

21.

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

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

22.

What is the slope of the table?

a)

1/4

b)

4

c)

-6

d)

-4

23.

What is the y-intercept?

a)

-1/3

b)

3

c)

0

d)

8

24.

What is the y-intercept?

a)

-5

b)

24

c)

0

d)

3

25.

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)

26.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

27.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

28.

Find the slope given these points:

(-5,3) & (3,5)

a)

1/4

b)

4

c)

1

d)

-1

29.

Which equation has the same slope and y-intercept as the graphed line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

30.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

31.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

32.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

33.

Identify the slope as positive, negative, zero or undefined.

a)

positive

b)

negative

c)

zero

d)

undefined

34.

What type of slope does the following graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

35.

What kind of slope does this line have?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

36.

What kind of slope does this line have?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

37.

What kind of slope is in this equation
y=2x-5

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

38.

What kind of slope is in this equation
y= 6x+1

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

39.

What kind of slope is in this equation
y=-3x+2

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

40.

What kind of slope is in this equation
y= -⅝+4

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

41.

What is the y-intercept
y=2x-5

a)

2

b)

-2

c)

5

d)

-5

42.

What is the y-intercept
y= -2x+4

a)

-2

b)

4

c)

2

d)

0

43.

What is the y-intercept
y= 6x+1

a)

6

b)

7

c)

1

d)

5

44.

What is the y-intercept?

a)

-1

b)

1

c)

3

d)

-3

45.

What is the y-intercept?

a)

15

b)

-1/5

c)

3

d)

2

46.

What is the y-intercept

a)

1

b)

-1

c)

0

d)

1.5

47.

In the equation y = 5x + 4 the slope is

a)

5

b)

x

c)

4

d)

y

48.

In the equation f(x)= 4x – 6 the y-intercept is

a)

4

b)

x

c)

6

d)

-6

49.

In the equation h=4t – 6 the input is

a)

h

b)

4

c)

t

d)

-6

50.

In the equation c(m)=50m + 79.50 the output is

a)

50

b)

m

c)

79.50

d)

c(m)

51.

The amount Mike gets paid weekly can be represented by the equation p(α)=2.75a + 200, where a is the number of fashion accessories he sells that week.

Which of the following statements is true?

I. 2.75 is the amount he gets paid per cellphone accessory

II. a is the number of accessories he sells that week

III. p(a) is the total amount he gets paid

IV. 200 is the amount he is gaurranteed to be paid each week

a)

Statement I only

b)

Statements I and II

c)

Statements I, II, and IV only

d)

All statements I, II, III and IV, are true

52.

Each day, a local cat shelter spends an average of $2.00 on food per cat. The manager estimates the shelter’s daily expenses, assuming there is at least one cat in the shelter, using the function E(x)= 25 + 2.00x.

Select all the statements below that are true.

a)

E(x) is the input

b)

25 represents the shelter's daily nonfood expenses

c)

x represents the number of cats at the shelter

d)

25 is the slope

e)

25 is the constant term

53.

Select all the statements that are true.

a)

" Cookies eaten" is the input

b)

"Calories Consumed" is the output

c)

The point (6,320) means 320 cookies eaten and 6 calories consumed

d)

The slope of the scenario means calories consumed per cookies eaten

54.

The slope in this scenario is... and means....

a)

$0; how much 0 gallons of gas costs

b)

$3.75; the cost of gas per gallon

c)

$15; the cost of gas

d)

4 gallons; the number of gallons

55.

The slope of this table is...

a)

1/3

b)

3 or 3/1

c)

-3 or -3/1

d)

-1/3

56.

The slope of the line between that passes through (-9,0) and (-4, 5) is...

a)

-9

b)

5/-13

c)

-1

d)

1

57.

The y-intercept in the table is...

a)

(0,3)

b)

(-3,0)

58.

Find the y-intercept, b, of the line that passes through the point (5,8) and a slope 3.

a)

b = –7

b)

b = 8

c)

b = 5

d)

b = –16

59.

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

a)

The daily fee for the moving truck

b)

The per-mile fee for the moving truck

c)

How much Charlie paid for the truck

d)

The number of miles he drove

60.

The graph represents gasoline consumption when driving a certain distance in km. What is the meaning of the slope?

a)

The tank started with 50 L of gasoline

b)

the amount of gasoline consumed per km driven

c)

the distance it takes to lose a Liter of gas

d)

the gasoline is leaking because the slope is negative.

61.

The table represents a used car salesman's monthly salary including commission made on the sale of cars. What is the y-intercept and what does it represent?

a)

The y-intercept is $850/car and it represents the commission per car sold.

b)

The y-intercept is $1500/car and it represents the commission per car sold.

c)

The y-intercept is $1500 and it represents the monthly salary before commission.

d)

The y-intercept is $2775 and it represents the monthly salary before commission.

62.

The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes. What is the meaning of the slope of the equation?

a)

For $1.00, you can rent a kayak for 20 minutes.

b)

It costs $0.20 per minute to rent the kayak.

c)

You have to pay $0.20 up front before using the kayak at all.

d)

Every .2 minutes, you have to pay $1.00.

63.

What does the slope represent in this situation?

a)

The sloth runs 1 feet in 3 minutes

b)

The sloth runs 3 feet in 1 minute

c)

The sloth runs fast

d)

The sloth runs 6 feet in 1 minute

64.

What is the meaning of the y-intercept?

a)

The hamburger will cost $1.90 without any toppings.

b)

The hamburger will cost $1.40 without any toppings.

c)

The cost of the hamburger is $1.90 with one topping

d)

The cost of the hamburger doesn't change no matter how many toppings there are.

65.

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

a)

200

b)

150

c)

300

d)

75

66.

Which statement matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

67.

The cost of staying at a hotel can be found using the function y=129x+9.95, where x is the number of days a guest stays at the hotel and y is the cost in dollars. The cost includes a flat fee for Internet access. If the fee for Internet access is not included, which statement is true?

a)

The cost is $9.95 less per day

b)

The cost is $9.95 less

c)

The cost is $9.95 more per day

d)

The cost is $9.95 more

68.

What is the meaning of the y-intercept?

a)

Mrs. Franklin's meal will cost $6.85 if she brings no grandchildren.

b)

Mrs. Franklin's meal will cost $2.95 if she brings no grandchildren.

c)

Mrs. Franklin's bill will increase by $2.95 for every grandchild she brings.

d)

Mrs. Franklin's meal will decrease by $2.95 for every grandchild she brings.

69.

Based on the scatterplot, what is the best prediction of a person's average typing speed if the person has spent 70 hours learning to type?

a)

100 words per minute

b)

55 words per minute

c)

85 words per minute

d)

70 words per minute

70.

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

a)

y = 61.93x - 1.79

b)

y = -1.79x + 61.93

c)

y = 0.016x + 0.03

d)

y = 0.03x + 0.016

71.

The sign of the correlation coefficient tells you whether you have

a)

a positive relationship (m+)

b)

a negative relationship (m-)

c)

Both are true

72.

Based on this scatterplot, approximately what score would a student with 6 absences expect to receive on the final exam?

a)

65

b)

92

c)

67

d)

76

73.

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)

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.

Write an equation
m = 5/4 through (-4, -3)

a)

y = 5/4x +2

b)

y = -5/4x + 2

c)

y = 2x - 5/4

d)

y = 3/4x + 2

76.

What letter do we use to represent correlation coefficient?

a)

c

b)

r

c)

p

d)

h

77.

Write an equation in slope-intercept form of the line that passes through the given points: (-4,-7) and (-6,9)

a)

y = 8x + 39

b)

y = -8x - 39

c)

y = -8x - 32

d)

y = 8x + 32

78.

Based on the scatterplot, what is the best prediction of the average amount of money spent on groceries for a household of 7 people?

a)

$240

b)

$190

c)

$210

d)

$300

79.

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)

80.

Based on the scatterplot, what is the best prediction of the resting heart rate of a person who exercises an average of 8 hours each week?

a)

30 beats per minute

b)

50 beats per minute

c)

55 beats per minute

d)

60 beats per minute

81.

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

a)

-4

b)

-4x

c)

5

d)

-5

82.

The correlation coefficient is a number "r" such that:

a)

-1<r<1

b)

-1>r>1

c)

-1≤r≤1

d)

-1≥r≤1

83.

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

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

84.

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

a)

3

b)

4x

c)

4

d)

x

85.

Write an equation in slope-intercept form of the line that passes through the given points: (2, 8) and (1, 3)

a)

y = 6x - 2

b)

y = 6x + 2

c)

y = 5x – 2

d)

y = -5x + 2

86.

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

87.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

88.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

89.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

90.

Write an equation
m = 5 through (-1, -3)

a)

y = 5x + 2

b)

y = -5x - 5

c)

y = -5x + 2

d)

y = 2x - 5

91.

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)

92.

Give the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

93.

The total number of washcloths, y, contained in x packages can be represented by the equation y = 6x + 8 . Which of the following graphs best represents this situation?

a)

b)

c)

d)

94.

What is the equation of a line with a slope of 3 and a y-intercept of (0, 6)?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

95.

Which equation identifies the relationship in the table?

a)

y = 2x - 5

b)

y = -2x + 5

c)

y = 2x + 5

d)

y = -2x - 5

96.

Given the graph, what is the equation of the line in point slope form?

a)

y - 20 = ½(x - 4)

b)

y - 20 = 5(x - 4)

c)

y + 20= 5(x + 4)

d)

y - 20 = 1(x - 4)

97.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

98.

Using the data plotted on the scatterplot, which equation most closely describes a line of best fit for the data?

a)

y = 2x - 4

b)

y = 2x + 5

c)

y = x + 6

d)

y + 3x - 4

99.

Which example shows CAUSATION?

a)

Stress level and desire for chocolate.

b)

Eating more butter and increased divorce rates.

c)

It started raining and the baseball game was delayed.

100.

For the equation
y - 3 = 2(x + 4),
what is the ordered pair?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

101.

What is the correlation between length of running start and distance of jump?

a)

positive: the further you run the further you jump

b)

negative: the less you run the less distance of your jump

c)

positive: the further your running start the less your distance

102.

Write the equation of the line.

a)

y=-3x-4

b)

y=-4x-3

c)

y=(-3/4)x-3

d)

y=(-4/3)x-3

103.

The scatterplot shows the average selling price of cars and the age of the cars. Based on the graph, approximately what selling price shouild an owner of a 4 year old car expect?

a)

$6,500

b)

$8,500

c)

$10,750

d)

$12,500

104.

Describe the association for the graph.

a)

Linear and Positive

b)

Linear and Negative

c)

Non-Linear and Positive

d)

Non-Linear and Negative

e)

Non-Linear and No Association

105.

Based on the scatterplot, if Leo spends 2 hours playing video games, how many hours does he spend sleeping?

a)

7 hours

b)

8 hours

c)

10 hours

d)

9 hours

106.

If h(a) = 3 - 2a
Find h(-3).

a)

12

b)

-2

c)

-3

d)

9

107.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

108.

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

a)

Translation left 2 units

b)

Translation right 2 units

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

109.

Compare the equations f(x) = 12x + 2 and g(x) = 6x – 2. Which best describes the transformation(s) from f(x) to g(x)?

a)

Vertical shift down 2, less steep slope

b)

Vertical shift up 4, double the slope

c)

Vertical shift down 4, half the slope

d)

Steeper by 2

110.

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

a)

f(x) = 7x

b)

f(x) = x - 7

c)

f(x) = x + 7

d)

f(x) = 7x - 7

111.

How did the equation shift from the parent function? y = -3f(x) + 5

a)

Reflection over x-axis, steeper, up 5

b)

Reflection over y-axis, less steep, right 5

c)

Steeper, left 5

d)

reflection over x-axis, less steep, up 5

112.

Find the slope.

a)

3/5

b)

-3/5

c)

5/3

d)

-5/3

113.

Find the slope.

a)

-2

b)

2

c)

¹/₂

d)

-¹/₂

114.

What is the slope of the line represented by the table?

a)

-3/2

b)

3/2

c)

2/3

d)

-2/3

115.

Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?

a)

64

b)

128

c)

32

d)

16

116.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

117.

Describe the transformation that occurred

k(x) = f(x) - 9

a)

vertical compression

b)

Down 9 units

c)

Left 9 units

d)

Right 9 Units

118.

Based on the scatterplot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant?

a)

$135

b)

$115

c)

$105

d)

$150

119.

Graph. y = -4

a)

a

b)

b

c)

c

d)

d

120.

Given the table, what is the equation of the line in point slope form?

a)

y - 12 = ½(x - 6)

b)

y - 4 = ½(x - 8)

c)

y + 2 = ½(x + 4)

d)

y + 6 = ½(x +12)

121.

Find the slope

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

122.

Given h(x) = -9x +5, find h(8).

a)

h(8) = -360

b)

h(8) = -67

123.

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

a)

2 hours

b)

3 hours

c)

4 hours

d)

5 hours

124.

^{What is the zero of the line?}

a)

x = 1

b)

x = 2

c)

x = -1

d)

x = -2

125.

Find the x and y-intercepts:
y = 5x + 20

a)

x-intercept: (0, -4)
y-intercept: (20, 0)

b)

x-intercept: (-4, 0)
y-intercept: (0, 20)

c)

x-intercept: (5, 20)
y-intercept: (20, 5)

d)

x-intercept: (5, 1)
y-intercept: (20, 5)

126.

For the function f(x) = -3(x-1) find f(0).

a)

0

b)

-3

c)

3

d)

-1

127.

If f(x) = x - 5, what is the value of x when f(x) = 15?

a)

20

b)

10

c)

5

d)

0

128.

What is the domain of the function

f(x) = -3x – 1 when the range is

{5, -1, -10}?

a)

{-16, 0, 3}

b)

{14, 2, -31}

129.

Select the explicit rule that represents the sequence.

a)

11 - 68(n - 1)

b)

68 - 9(n - 1)

c)

68 - 11(n - 1)

d)

9 + 68(n - 1)

130.

What is the explicit form for the following sequence

3, 13, 23, 33, 43...

a)

f(n)= 3 + 10(n-1)

b)

f(n)= 10 + 3(n-1)

c)

f(n)= 5(n-1) + 3

d)

f(n) = 5(n-1) -3

131.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

132.

a)

x ≥ 2

b)

x ≥ -2

c)

x ≤ 2

d)

x ≤ -2

133.

a)

n ≤ 6

b)

n ≤ -6

c)

n ≥ 6

d)

n ≥ -6

134.

-2x - 69 = -9x + 29

a)

12

b)

11

c)

14

d)

10

135.

Does the table represent y as a function of x?

a)

function

b)

not a function

136.

What does the rate of change (slope) tell you about this situation?

a)

He ate 1 cookie in 2 minutes.

b)

He ate 4 cookies per minute.

c)

He ate 2 cookies per minute

d)

He ate 1/2 cookies every minute

137.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

138.

a)

F

b)

G

c)

H

d)

J

139.

What is the Range of this linear function?

a)

-6 ≤ y ≤ 6

b)

0 ≤ y ≤ 6

c)

No Solution

d)

4 ≤ y ≤ 3

140.

a)

{-2, 3, 7}

b)

{-2, 3}

c)

{1, 2, 2, 3, 4}

d)

{1, 4}

141.

Write the equation of point slope form given the following
(2,6), (5, 18)

a)

y-2=4(x-6)

b)

y-6=4(x-2)

c)

y+2=4(x+6)

d)

y+6=4(x+2)

142.

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

143.

What is the slope of the linear function given by the equation 2x + 3y = -6

a)

-2/3

b)

2

c)

2

d)

2/3

144.

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.

a)

7x + 13y < 81

b)

7x + 13y ≥ 81

c)

7x + 13y ≤ 81

d)

7x + 13y > 81

145.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

146.

A line is perpendicular to 2x - y = 7.

What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

147.

What is the equation of a line parallel to the graphed line?

a)

y = 2x + 7

b)

y= -1/2x - 3

c)

y = -1/2x + 7

d)

y = 2x - 5

148.

Determine the equation of the line that is PERPENDICULAR to the line

3x + 12y = 1

and contains the point

(-2, 6).

a)

y - 6 = 4(x + 2)

b)

y - 6 = 4(x + 2)

c)

y - 6 = -1/4(x + 2)

d)

y - 6 = 1/4(x + 2)

149.

What is the equation of a line that is parallel to the points in the table?

a)

y =1/4x -3

b)

y =4x - 3

c)

y = 1/4x + 7

d)

y = 4x + 12

150.

What is the SLOPE of a line that passes through (4, 9) and has zero slope?

a)

x = 4

b)

x = 9

c)

y = 9

d)

y = 4

151.

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

152.

What is the slope intercept form of this inequality?

3x - 4y ≤ 24

a)

y ≤ 3/4 x + 6

b)

y ≥ 3/4 x - 6

c)

y ≥ -3/4x + 6

d)

y ≤ -3/4x - 6

153.

Write the equation of the graph in standard form.

a)

-3x +2y = -6

b)

3x + 2y = 6

c)

y= 3/2x - 6

d)

-3x + 2y = -12

154.

Write the standard form linear inequality that represents the graph

a)

x + 2y > 6

b)

-x + 2y < 6

c)

x - 2y > 6

d)

x - 2y < 6

155.

What is the slope of a line that is perpendicular to

6x-y=9?

a)

9/6

b)

6

c)

-1/6

d)

-6

156.

What is the slope of a line that is parallel to the line y + 7 = -1/4(x - 4)

a)

-1/4

b)

1/4

c)

4

d)

-4

157.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

158.

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)

a)

-4, 4, 8, 9

b)

-2, 3, 8, 10

c)

(9, -2) ( 4, 3)

d)

(8, 10) (-4, 8)

159.

Which graph is NOT a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

160.

Which of these relations is a function?

a)

b)

c)

d)

161.

Which set of ordered pairs represents a function?

a)

{(3, 2), (4, 4), (6, 3), (4, 5)}

b)

{(4, –3), (4, –1), (4, 3), (4, 6)}

c)

{(–4, 4), (–2, 4), (1, 4), (5, 4)}

d)

{(–3, –3), (–2, –4), (–2, –1), (–1, –5)}

162.

$0.75\left(x+20\right)=2+0.5\left(x-2\right)$

Which value of x makes the equation true?

a)

64

b)

-64

c)

56

d)

-56

163.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

164.

a)

A

b)

B

c)

C

d)

D

165.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

166.

$-6\left(\frac{1}{3}x-1\right)+5x\ge3x+4$

a)

All Real Numbers are solutions

b)

No Solution

c)

x $\ge\frac{2}{3}$

d)

x $\ge\frac{-2}{3}$

167.

The graph of $2x-y=-5$ is shown. Determine if the following points are in the solution set of $2x-y>5$ ? Select all that apply.

a)

$\left(0,\ 0\right)$

b)

$\left(4,\ 3\right)$

c)

$\left(6,\ 2\right)$

168.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

169.

Solve for g

$5g-3r<15$

a)

$g<\frac{3}{5}r+3$

b)

$g>\frac{3}{5}r+3$

c)

$g<\frac{3}{5}r-3$

d)

$g>\frac{3}{5}r-3$

170.

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

a)

x + 2y < 240

b)

x + 2y > 240

c)

x + 2y ≤ 240

d)

x + 2y ≥ 240

171.

Check ALL points that are solutions of the graph.

a)

(1,3)

b)

(4,0)

c)

(-2,2)

d)

(2,2)

e)

(1,2)

172.

Solve: 2(4x - 3) - 8 = 4 + 2x

(a)

173.

Determine which number(s) are part of the solution set of the given inequality. Select all that apply. $3\left(-2-3k\right)\ge-11k-4$

a)

$-6$

b)

$10$

c)

$1$

174.

At Most

a)

<

b)

>

c)

≤

d)

≥

175.

At Least

a)

<

b)

>

c)

≤

d)

≥

176.

Below

a)

<

b)

>

c)

≤

d)

≥

177.

No More Than

a)

<

b)

>

c)

≤

d)

≥

178.

Will you need to flip the inequality sign for this problem?
-5x > 25

a)

Yes

b)

No

179.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

180.

Will you need to flip the inequality sign for the following problem? -3 + x > 19

a)

Yes

b)

No

181.

Will you need to flip the inequality sign for this problem?

-7x + 750 > -5x + 600

a)

Yes

b)

No

182.

What is a possible solution set to the following problem?
-8m > 40

a)

-5, -4, -3

b)

-4, -3, -2

c)

-5, -6, -7

d)

-6, -7, -8

183.

Is 2 a possible solution for b<-3 ?

a)

Yes

b)

No

184.

Is 0 a possible solution for p<-4 ?

a)

Yes

b)

No

185.

Is -2.5 a possible solution for y ≤ -3 ?

a)

Yes

b)

No

186.

Is 6.8 a possible solution for p ≤ 7 ?

a)

Yes

b)

No

187.

Is -2 a possible solution for p ≤ -2 ?

a)

Yes

b)

No

188.

Andrew solved the equation 3x + 5 = 4x + 2.5 and found the answer to be x = 2.5. Amanda says that he is wrong and the answer is x = 3.5. which statement below is true?

a)

Amanda is correct the answer is x = 3.5

b)

Andrew is correct the answer is x = 2.5

c)

neither of the students are correct

d)

both students are correct

189.

Find the error in the problem below

19 - 2k = 3k - 1

+3k +3k

19 + 1k = -1

-19 -19

k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

190.

At the beginning of the year, Ethan has $800 in his savings account and Faith has $1,280 in her savings account. Each month, Ethan deposits and additional $25 in his account, while Faith withdraws $15 from her account. Write an equation to show after how many months will Ethan’s account have a greater balance than Faith’s account?

a)

800 - 25x < 1280 - 15x

b)

800 + 25x < 1280 - 15x

c)

800 + 25x > 1280 - 15x

d)

800 + 25x > 1280 + 15x

191.

A hockey season ticket holder pays $72.48 for all of her tickets plus $6 for a program each game. A second person pays $18.08 for a ticket to each game, but doesn’t buy programs. Write an equation that shows when the two fans will pay the same amount.

In how many games will they have paid the same amount?

a)

8 games

b)

9 games

c)

6 games

d)

12 games

192.

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

a)

2 hours

b)

3 hours

c)

4 hours

d)

5 hours

193.

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

a)

25 - 2.5d > 50 - 3.25d

b)

25 - 2.5d < 50 - 3.25d

c)

25 + 2.5d > 50 + 3.25d

d)

25 + 2.5d < 50 + 3.25d

194.

Veronica is ordering trophies for her school. Company P charges $3.50 for each trophy and a one-time engraving fee of $25. Company R charges $7.50 for each trophy and a one-time engraving fee of $17. Which inequality can be used to find x, the minimum number of trophies that can be ordered so that the total charge at company P is less than the total charge at Company R?

a)

3.5 + 25x < 7.5 + 17x

b)

3.5 + 25x > 7.5 + 17x

c)

3.5x + 25 < 7.5x + 17

d)

3.5x + 25 > 7.5x + 17

195.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

a)

3 hours

b)

4 hours

c)

1 hour

d)

2 hours

196.

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

a)

2 hours

b)

3 hours

c)

4 hours

d)

5 hours

197.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

198.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

199.

Solve the equation:
7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

200.

8 - 9t = 21t - 17

a)

t = 6/5

b)

t = 5/6

c)

t = 1

201.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

202.

What is v?
-15v-40 = 23-8v

a)

v = 9

b)

v = -7

c)

v = -9

203.

-5k + 10 = -2k - 14

a)

8

b)

-8

c)

2

d)

-2

204.

^{What is the x- intercept of the line?}

a)

x = 1

b)

x = 2

c)

x = -1

d)

x = -2

205.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

206.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

207.

Find the slope of the line.

m = y₂- y_{1 /}x_{2 -}x₁

a)

Undefined

b)

0

c)

1

d)

-1

208.

Find the slope

m = y₂- y_{1 /}x_{2 -}x₁

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

209.

Find the x and y-intercepts:
y = 5x + 20

a)

x-intercept: (0, -4)
y-intercept: (20, 0)

b)

x-intercept: (-4, 0)
y-intercept: (0, 20)

c)

x-intercept: (5, 20)
y-intercept: (20, 5)

d)

x-intercept: (5, 1)
y-intercept: (20, 5)

210.

What would the graph of y = 8 look like?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

211.

Does the table represent y as a function of x?

a)

function

b)

not a function

212.

Does the table represent y as a function of x?

a)

function

b)

not a function

213.

Does the table represent y as a function of x?

a)

function

b)

not a function

214.

Does the table represent y as a function of x?

a)

function

b)

not a function

215.

Does the table represent y as a function of x?

a)

function

b)

not a function

216.

Does the table represent y as a function of x?

a)

function

b)

not a function

217.

Does the table represent y as a function of x?

a)

function

b)

not a function

218.

For the function f(x) = -3(x-1) find f(0).

a)

0

b)

-3

c)

3

d)

-1

219.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

220.

If f(x) = x - 5, what is the value of x when f(x) = 15?

a)

20

b)

10

c)

5

d)

0

221.

Given f(x) = 2x - 10 and f(x) = - 4.

Find x

a)

x = 3

b)

x = 5

c)

x = - 3

d)

x = 30

222.

Given g(x) =
4x - 7, find g(-9).

a)

g(-9) = 29

b)

g(-9) = -43

223.

Evaluate f(-2) if f(x) = x+3

a)

-1

b)

1

c)

5

d)

-5

224.

I throw a ball 10 feet in the air. If the domain is the number of seconds, what is a possible range for the function?

a)

All real numbers between 0 and 10

b)

Integers between 0 and 10

c)

Rational Numbers between 0 and 10

d)

Whole Numbers between 0 and 10

225.

What is the range of the function

f(x) = 3x – 1 when the domain is

{2, 17, 29}?

a)

{5, 50, 86)

b)

{1, 6, 10}

226.

What is the domain of the function

f(x) = -3x – 1 when the range is

{5, -1, -10}?

a)

{-16, 0, 3}

b)

{14, 2, -31}

227.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

228.

Select the explicit rule that represents the sequence.

a)

11 - 68(n - 1)

b)

68 - 9(n - 1)

c)

68 - 11(n - 1)

d)

9 + 68(n - 1)

229.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

230.

Identify the common difference.
3, 7, 11, 15, ...

a)

6

b)

5

c)

4

d)

2

231.

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)

a)

a_n = 4n + 29

b)

a_n = -4n + 25

c)

a_n= -4n + 29

d)

a_n = 4n + 25

232.

What is the explicit rule for the sequence:

11, 22, 33, 44..

a)

f(n) = 11 + 2(n-1)

b)

f(n) = 11 + 11(n-1)

c)

f(n) = 11 - 2(n-1)

233.

What is the explicit form for the following sequence

3, 13, 23, 33, 43...

a)

f(n)= 3 + 10(n-1)

b)

f(n)= 10 + 3(n-1)

c)

f(n)= 5(n-1) + 3

d)

f(n) = 5(n-1) -3

234.

Solve:
2x + 1 = 2x - 1

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

235.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

236.

a)

x ≥ 2

b)

x ≥ -2

c)

x ≤ 2

d)

x ≤ -2

237.

a)

x > 1

b)

x > -1

c)

x < 1

d)

x < -1

238.

a)

x ≤ 4

b)

x ≤ -4

c)

x ≥ 4

d)

x ≥ -4

239.

a)

n ≤ 6

b)

n ≤ -6

c)

n ≥ 6

d)

n ≥ -6

240.

a)

a ≥ 4

b)

a ≥ -4

c)

a ≤ 4

d)

a ≤ -4

241.

a)

{-7, -5, 2, 3, 7}

b)

{-7, 7}

c)

{1, 2, 3, 4, 5}

d)

{1, 5}

242.

a)

{-2, 3, 7}

b)

{-2, 3}

c)

{1, 2, 2, 3, 4}

d)

{1, 4}

243.

What is the Range of this linear function?

a)

-6 ≤ y ≤ 6

b)

0 ≤ y ≤ 6

c)

No Solution

d)

4 ≤ y ≤ 3

244.

What is the range?

a)

-7≤x≤6

b)

-7<x<6

c)

-8<y<2

d)

-8≤y≤2

245.

What is the range of the function?

a)

0≤h≤3

b)

0≤h≤36

c)

h<3

d)

t≤36

246.

a)

F

b)

G

c)

H

d)

J

Mega Algebra Bank

Total questions: 246

Worksheet time: 21hrs 23mins

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