Free Printable Slope , ordered pairs, word problems

1.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

2.

What is the slope?

a)

1/2

b)

2

c)

7

d)

3

3.

Find the slope of the line through each pair of points.

a)

A

b)

B

c)

C

d)

D

4.

Alex cycles 5 kilometers during each trip to school. Write an equation that shows the relationship between the number of trips to school x and the total distance cycled y.

a)

$y=5x$

b)

$y=x+5$

c)

$x=5y$

d)

$x=y+5$

5.

Find the slope of the line through each pair of points.

a)

A

b)

B

c)

C

d)

D

6.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

7.

What is the slope between the points
(-3, -4) & (7, 6)?

a)

0

b)

Undefined

c)

-1

d)

1

8.

Find the slope of the line that passes through
(19, -2) and (-11, 10)

a)

-2/5

b)

2/5

c)

5/2

d)

-5/2

9.

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

a)

2/11

b)

13/2

c)

3/10

d)

11/2

10.

Find the slope of the line that passes through:
(5, -10) and (5, -4)

a)

undefined

b)

0

c)

- 14/10

d)

10/14

11.

Find the slope of the line that passes through:
(-2, 8) and (0, 8)

a)

0

b)

-2

c)

2

d)

1/2

12.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

13.

What is the slope?

a)

0

b)

Undefined

c)

4

d)

1/4

14.

Teja has already baked 4 cakes, and she can bake 1 cake with each additional stick of butter she buys. Write an equation that shows the relationship between the number of additional sticks of butter x and the number of cakes y.

a)

$y=\left|4x\right|$

b)

$y=\frac{x}{4}$

c)

$y=4x$

d)

$y=x+4$

15.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

16.

Which axis runs horizontally?

a)

x

b)

y

17.

Which axis runs vertically?

a)

x

b)

Y

18.

In the ordered pair (4,9), which number is the y-coordinate?

a)

4

b)

9

c)

neither

d)

both

19.

What is Coordinate N?

a)

(7,6)

b)

(5,5)

c)

(6,6)

d)

(7,7)

20.

What letter is located at (8, 5)?

a)

A

b)

B

c)

C

d)

D

21.

What is meant by the ordered pair (7, 700) ?

a)

In 7 months, I made $700

b)

In 7 months, $700 was raised for the science fair

c)

In 700 months, $7 was made

d)

In 7 months, I made $200

22.

How far did this person travel in 60 minutes?

a)

5 feet

b)

50 miles

c)

they never drove 60 minutes

d)

1 mile

23.

Which is the ordered pair?

a)

(4,1)

b)

(0,4)

c)

(4,0)

d)

None of the above

24.

Determine whether the ordered pair is a solution of y=2x-4.
(3,2)

a)

Yes

b)

No

25.

What vaules of y would be found in a table of solutions for the given values?
y = 2x - 2 for x=1,2,3,4

a)

1.5, 2, 2.5, 3

b)

1,2,3,4

c)

0, 2, 4, 6

d)

2,4,5,6

26.

What vaules of y would be found in a table of solutions for the given values?
y = 2x - 2 for x=1,2,3,4

a)

1.5, 2, 2.5, 3

b)

1,2,3,4

c)

0, 2, 4, 6

d)

2,4,5,6

27.

A set of two real numbers that locate a point on a plane is called __________________.

a)

Origin

b)

Coordinate Plane

c)

Ordered Pair

d)

Graph

28.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

29.

Where is T?

a)

(-3, -2)

b)

(-2,-3)

c)

(3,2)

d)

(-3,2)

30.

The __ - axis is vertical in the coordinate plane.

a)

X

b)

Y

c)

Z

d)

None of the above

31.

The __ - axis is horizontal to the horizon.

a)

X

b)

Y

c)

Z

d)

None of the above

32.

The point at which the X and Y axis intersect on the coordinate plane is called _______________.

a)

Graph

b)

Axis

c)

Quadrant

d)

Origin

33.

The coordinates for the origin in the coordinate plane are________?

a)

(1,1)

b)

(0,0)

c)

(0,1)

d)

(1,0)

34.

In what order do you follow ordered pairs?

a)

vertex first then y

b)

y first then x

c)

none of these

d)

x first then y

35.

If you were to plot the point (4, -12) what would be the correct method?

a)

Up 4, left 12

b)

Right 4, up 12

c)

Down 4, left 12

d)

Right 4, down 12

36.

What are the correct dance moves to help you remembered ordered pairs?

a)

Start at x then jump up to y

b)

Slide to x then jump up to y

c)

start at 0, jump up to y and slide to x

d)

start at 0, slide to x and jump to y

37.

A balloon is released from the top of a building that is 50 meters tall. The balloon rises at the rate of 4 meters per second. Which equation represents the situation?

a)

y = 4x + 50

b)

y = - 4x + 50

c)

y = 50 - 4x

d)

y = 4x - 50

38.

What is the slope of a line that passes through the ordered pairs (1, 8) and (3, 12)?

a)

4

b)

2

c)

-2

d)

1/2

39.

A swimming pool had a leak. After 2 hours it had 800 gallons in it and then after 6 hours it had gone down to 600 gallons. Which equation represents this situation?

a)

y = - 50x + 900

b)

y = - 200x + 900

c)

y = 200x

d)

y = 4x

40.

What is the slope of the graph?

a)

-2

b)

2

c)

1/2

d)

-1/2

41.

What is the y-intercept of the graph?

a)

2

b)

2.5

c)

7

d)

5

42.

The starting point in a situation is represented by the _______________

a)

slope

b)

y-intercept

c)

m

d)

x value

43.

Which equation has a positive slope and a negative y-intercept?

a)

y = - 2x + 6

b)

y = 0.5x + 8

c)

y = 4/3x - 12

d)

y = - 6x - 16

44.

Which equation has a positive slope and a positive y-intercept?

a)

y = x + 4

b)

y = 6x - 2

c)

y = 3/2x - 3/8

d)

y = - x + 24

45.

What is the equation that represents a line that passes through the ordered pairs (1, 7) and (2, 12)?

a)

y = 5x + 2

b)

y = 2x + 5

c)

y = 1/5x

d)

y = - 5x - 2

46.

Name the slope

a)

3

b)

Zero slope

c)

Undefined

d)

1

47.

Name the slope.

a)

Zero slope

b)

1

c)

Undefined

d)

-1

48.

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

49.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

50.

Marianna takes 3 pages of notes during each hour of class. Write an equation that shows the relationship between the time in class x and the number of pages y.

a)

$y=x+3$

b)

$y=3x$

c)

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

d)

$y=3x+1$

51.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

52.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

53.

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

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

54.

Before beginning voice lessons, SG already knew how to sing 7 songs, and she expects to learn 2 new songs during each week of lessons. Write an equation that shows the relationship between the number of weeks x and the number of songs learned y.

a)

$y=2x+7$

b)

$y=7x+2$

c)

$y=x+9$

d)

$y=x+14$

55.

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

56.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

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

d)

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

57.

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

a)

b)

c)

d)

58.

Graph the line with the equation
$x\ =\ -3$

a)

b)

c)

d)

59.

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

a)

b)

c)

d)

60.

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

a)

b)

c)

d)

61.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

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

d)

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

62.

Write the equation of the graph

a)

$y=1$

b)

$x=1$

c)

$y=x+1$

d)

$y=x$

63.

Is this line increasing or decreasing?

a)

Increasing

b)

Decreasing

64.

Which statement best describes "b"?

a)

x-intercept

b)

y- intercept

c)

Slope

d)

Bee

65.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

66.

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

67.

Convert the standard form equation into slope-intercept form.
x + y = -1

a)

y = x - 1

b)

y = 27, 239, 430

c)

y = -1x

d)

y = -x - 1

68.

a)

y=-3x+1

b)

y=3x+1

c)

y=1/3x+1

d)

y=-1/3x-1

69.

a)

y=-4x-12

b)

y=4x+12

c)

y=-4x+12

d)

y=-4x+3

70.

Seb has already learned 2 Tik Tok dances, and he expects to learn 1 new dance every day of vacation. Write an equation that shows the relationship between the days of vacation x and the total number of Tik Tok dances Seb has learned y.

a)

$x=2y$

b)

$y=x+2$

c)

$x=y+2$

d)

$y=2x$

71.

a)

y=-x-9

b)

y=x-9

c)

y=-x+9

d)

y=x+9

72.

a)

y=-5x+5

b)

y=-x+5

c)

y=x+1

d)

y=-x+1

73.

a)

y=-4x+20

b)

y=4x-20

c)

y=4x+20

d)

y=-4x-20

74.

a)

y=-4x+20

b)

y=4x-20

c)

y=4x+20

d)

y=-4x-20

75.

a)

y=8x

b)

y=-8x-8

c)

y=8x+8

d)

y=-8x

76.

Kate has already written 1 page, and she expects to write 1 page for every additional hour spent writing. Write an equation that shows the relationship between the hours spent writing x and the total pages written y.

a)

$y=\frac{1}{x}$

b)

$y=x+1$

c)

$y=1x$

d)

$y=x$

77.

a)

y=2x+4

b)

y=-2x-4

c)

y=2x-2

d)

y=2x-4

78.

a)

y=1/2x+5

b)

y=-1/2x+5

c)

y=-1/2x-5

d)

y=1/2x-5

79.

Convert the standard form equation into slope-intercept form.
x - y = 2

a)

y = -x + 2

b)

y = x - 2

c)

x = 2

d)

y = 27, 239, 430

80.

Convert the standard form equation into slope-intercept form.
x + y = 2

a)

y = -x + 2

b)

y = x - 2

c)

x = 2

d)

y = 27, 239, 430

81.

What day is six days after the day before Saturday?

a)

Monday

b)

Tuesday

c)

Wednesday

d)

Thursday

e)

Saturday

82.

Ella collects hats. She has 6 hats already, and collects 2 hats per week.

a)

y = 2x + 6

b)

y = 6x + 2

c)

y = 2x - 6

d)

y = 6x - 2

83.

After 2.5 hours, how far had this person traveled?

a)

about 120 miles

b)

about 120 mila kunises

c)

about 180 miles

d)

about 100 miles

84.

What is meant by the ordered pair (8, 900) ?

a)

In 8 months, I made $900

b)

In 8 months, $900 was raised for the science fair

c)

That is not an ordered pair on this graph

d)

In 7 months, I made $200

85.

If you receive a 45/50 on your test, what is your percent correct?

a)

45%

b)

80%

c)

90%

d)

70%

86.

How many quadrants are in a coordinate plane?

a)

1

b)

2

c)

3

d)

4

87.

Which quadrant has a positive X but a negative Y (x,-y)?

a)

1

b)

2

c)

3

d)

4

88.

In what Quadrant would you find the ordered pair (-3, -2)

a)

I

b)

II

c)

III

d)

IV

89.

What is the distance between the following ordered pairs (2,6) and (5,6)?

a)

3 units

b)

6 units

c)

2 units

d)

1 units

90.

Ryan's Auto Wash earns revenues of $9 per customer. Write an equation that shows the relationship between the number of customers x and the revenue y.

a)

$y=9x$

b)

$x=9y$

c)

$y=x^9$

d)

$y=x+9$

91.

Luca already owns 1 necklace, and additional necklaces are priced at 2 for a dollar. Write an equation that shows the relationship between the money spent on additional necklaces x and the total number of necklaces y.

a)

$y=\frac{x}{1}+2$

b)

$y=1x+2$

c)

$y=\frac{2}{x}+1$

d)

$y=2x+1$

92.

When shopping online, Kate takes 4 seconds to select each product and 4 seconds to check-out. Write an equation that shows the relationship between the products being purchased x and the time y.

a)

$y=\frac{x}{4}+4$

b)

$y=4x-4$

c)

$y=8x$

d)

$y=4x+4$

93.

Frodo journeys 3 km per day toward Mordor. Write an equation that shows the relationship between the days x and the distance y.

a)

$y=x+3$

b)

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

c)

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

d)

$y=3x$

94.

A plumber charges $50 to make a house call plus $40 for each hour worked. What is the expression and what does he make if he worked 5 hours?

a)

50x + 40; $290

b)

50x + 40x; $450

c)

50 + 40x; $250

d)

90x; $450

95.

Shanelle has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Shanelle has on her giftcard after x months?

a)

y = 3x + 20

b)

y = 3 + 20x

c)

y = -3x + 20

d)

y = -20x + 3

96.

What could this represent? 7x + 2 = 30

a)

Buying pet turtles for $7 each plus two cans of turtle food cost $30.

b)

Seven bags of candy plus 2 extra snickers bars equals 30 dollars.

c)

Two yoyos plus seven frisbees is thirty cents.

d)

Buying seven calculators plus $2 per bundle of pencils is $30.

97.

Six decreased by twice a number.

a)

2x - 6

b)

6 < 2x

c)

6 - x

d)

6 - 2x

98.

What is the answer? 3 ( x - 2 )

a)

3x - 2

b)

3x - 2x

c)

3 - 2x

d)

3x - 6

99.

The graph shows the cost of renting a moving truck, y, depending on the number of miles, x, the truck is driven.

What is the rate of change of the cost with respect to the number of miles driven?

a)

The daily fee of renting the truck is $40.00.

b)

The cost per mile to rent a truck is $0.50.

c)

The maximum amount of miles the truck can be driven is 24.5.

d)

The cost of renting a truck cannot exceed $53.00.

100.

The ordered pair where the x- axis and y-axis intersect.

a)

(1,-1)

b)

(-1,1)

c)

(0,0)

101.

What is the x-intercept of the linear graph?

a)

(0, 3)

b)

(3,0)

c)

(4, 0)

d)

(0, 4)

102.

What is the slope of this linear graph?

a)

y = 8

b)

x = 8

c)

m = 0

d)

m = undefined

103.

Name the equation of the line.

a)

y = 8

b)

x = 8

c)

m = 0

d)

m = undefined

104.

Write the equation of the line with slope 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

105.

Write the equation of the line through the points (-6, -19) and (2, 5).

a)

y = -7/2x + 12

b)

y = 3x + 11

c)

y = -7/2x - 40

d)

y = 3x - 1

106.

Mr. Wood is climbing down from a 1000 meters high mountain descending 30 meters per minute.

a)

y = - 30x + 1000

b)

y = 1000 + 30x

c)

y = 1000x + 30

d)

y = 1000x - 30

107.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does 2.75 represent?

a)

The total cost of the fixed fee plus charge per mile

b)

The charge per mile

c)

Miles

d)

The fixed fee

e)

Karma

108.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does f(x) represent?

a)

The total cost of the fixed fee plus charge per mile

b)

The charge per mile

c)

Miles

d)

The fixed fee

e)

Karma

109.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does 4.25 represent?

a)

The total cost of the fixed fee plus charge per mile

b)

The charge per mile

c)

Miles

d)

The fixed fee

e)

Karma

110.

Write the equation that represents this word problem:

MG owes her parents $400 for a computer, so she babysits for $10 per hour.

a)

y= 10x + 400

b)

y= -10x - 400

c)

y=10x - 400

d)

y= -10x + 400

e)

Answer Not Here

111.

AL has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

112.

The graph relates temperature, y (in degrees Fahrenheit) to altitude, x (in thousands of feet).

Which statement best describes the x-intercept of the graph?

a)

The temperature drops 3.7 degrees for every 1000 feet the altitude increases.

b)

At sea level, the temperature is 59 degrees Fahrenheit.

c)

The temperature is 0 degrees Fahrenheit at about 15,885 feet.

d)

The average temperature change is 7 degrees Fahrenheit.

113.

Write the equation that represents this word problem:

KT makes tacos at a restaurant. She has already made 8 tacos, and can make 3 tacos per minute.

a)

y= 8x + 3x

b)

y= 3x + 8

c)

y= 8x + 3

d)

y= 3 + 8

e)

Answer Not Here

114.

Write the equation that represents this word problem:

EFMS runs every day after school. She has already run 4 miles, and she can run one mile per hour.

a)

y= x + 4

b)

y= -x + 4

c)

y= 4x + 1

d)

y= 4x - 1

e)

Answer Not Here

115.

Write the equation that represents this word problem:

Andrew notices that a tree grows by about one inch every month since bought it. When he bought the tree, it was 18 inches tall.

a)

y= 18x + 1

b)

y= 18x - 1

c)

y= x + 18

d)

y= x - 18

e)

Answer Not Here

116.

TS has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money TS has left on her account after x days?

a)

y = 40 + 2x

b)

y = - 2x + 40

c)

y = 2 + 40x

d)

y = 2 - 40x

117.

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 = 30 + 20x

c)

y = 50x

d)

y = 60x

118.

What is meant by the ordered pair (3, 300) ?

a)

In 3 months, I made $300

b)

In 3 months, $300 was raised for the science fair

c)

In 300 months, $3 was made

d)

In 3 months, I made $200

119.

The graph relates temperature, y (in degrees Fahrenheit) to altitude, x (in thousands of feet).

Which statement best describes the y-intercept of the graph?

a)

The temperature drops 3.7 degrees for every 1000 feet the altitude increases.

b)

At sea level, the temperature is 59 degrees Fahrenheit.

c)

The temperature is 0 degrees Fahrenheit at about 15,885 feet.

d)

The average temperature change is 7 degrees Fahrenheit.

120.

The graph shows the distance of an elevator from its destination as a function of time.

Which statement best describes the y-intercept of the graph?

a)

It takes the elevator 30 seconds to reach the ground from the top floor.

b)

The highest floor is 255 feet above the ground.

c)

The elevator travels 4.3 feet per second.

d)

The building has 25 floors.

Slope , ordered pairs, word problems

Total questions: 120

Worksheet time: 4hrs 6mins

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