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Worksheets

OUR Unit 3 Review

Total questions: 80

Worksheet time: 3hrs 18mins

Name
Class
Date
1.

How would the line y=3xy=3x  and y=3x+2y=3x+2  be related

a)

y=3x+2y=3x+2  would be two units higher.

b)

They would be parallel

c)

They have the same slope

d)

They have the same y-intercept

2.

How are the lines y=2x+3y=2x+3  and y=12x+3y=\frac{1}{2}x+3  related?

a)

The slopes are opposite

b)

The y-intercept is the same

c)

They are perpendicular

d)

y=2x+3y=2x+3  is one and a half units higher

3.

What is the slope of the following line:

y=4x+75y=4x+75  

(a)  

4.

What is the slope of the following line:

y=2x+1y=2x+1  

(a)  

5.

What is the slope of the following line:

y=13x+7y=\frac{1}{3}x+7  

(a)  

6.

What is the y-intercept of the following line:

y=3x+1y=3x+1  

(a)  

7.

What is the y-intercept of the following line:

y=2x+6y=2x+6  

(a)  

8.

What is the y-intercept of the following line:

y=13x+79y=\frac{1}{3}x+79  

(a)  

9.

What is the y-intercept of the following line:

y=56xy=56x  

(a)  

10.

What is the slope of the following line:

y=x+5y=x+5  

(a)  

11.

What is the slope of this equation?

y = 3x - 4 

(a)  

12.

Which of these is the vertical intercept of the following equation?

y = 5x + 8 

a)
(0, 5)
b)
(5, 0) 
c)
(0, 8) 
d)
(8, 0) 
13.

What is the slope of the line?

(a)  

14.
Which runner was faster?
a)
Runner A
b)
Runner B
15.

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

(a)  

16.

What is the slope in the following equation?

y = 2x + 3

(a)  

17.

Which of the following equations have a slope of 23\frac{2}{3}   and a vertical intercept of (0,3)(0,-3)  

a)

y=32x+3y=\frac{3}{2}x+3  

b)

y=233y=\frac{2}{3}-3  

c)

y=23x3y=\frac{2}{3}x-3  

d)

y=23x+3y=\frac{2}{3}x+3  

18.

Which equation represents a proportional relationship?

a)
y = x + 3
b)
y = x - 9
c)
y = 7x
d)
y = 4x + 1
19.

Are the following ratios proportional? 34,4664\frac{3}{4},\frac{46}{64}  

a)
yes
b)
no
20.

Are the following ratios proportional? 810, 2835\frac{8}{10},\ \frac{28}{35}  

a)
yes
b)
no
21.

Choose the equation that matches the chart.

a)

y=12xy=\frac{1}{2}x  

b)

y=2xy=2x  

c)

y=3xy=3x  

d)

y=13xy=\frac{1}{3}x  

22.

Choose an equation that matches the table.

a)

x=12yx=12y  

b)

y=12xy=12x  

c)

y=x12y=\frac{x}{12}  

d)

x=y12x=y\cdot12  

23.

Choose an equation that reflects this relationship:

a)

t=46dt=46d  

b)

d=t46d=\frac{t}{46}  

c)

d=46td=46t  

d)

t=d46t=\frac{d}{46}  

24.
Which line has a slope of 0?
a)
Line A
b)
Line B
c)
Line C
d)
Line D
25.

Which of these equations match the graph?

a)

y = 3x + 2

b)

y = 2x - 3

c)

y = 1/2x - 3

d)

y = -2x + 3

26.

Which of these equations match the graph?

a)

x = 2

b)

y = 2

c)

y = 2x

d)

x = -2

27.

What is the slope between these points?

(5, 7) and (3, 10)

(a)  

28.
Find the equation of the line that has a slope of 3 and passes through (-4, 1).
a)
y = 3x - 11
b)
y = 3x + 13
c)
y = -4x - 13
d)
y = x + 11
29.

Find the equation of the line that passes through the points (2, -6) and (0, -3)

a)

y=32x3y=-\frac{3}{2}x-3

b)

y=32x+3y=\frac{3}{2}x+3

c)

y=23x6y=\frac{2}{3}x-6

d)

y=32x6y=-\frac{3}{2}x-6

30.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
31.
Write an equation for this situation.
a)
y = 9.75x
b)
y = 19x
c)
y = 19.25x
d)
y = 9.5x
32.
What is the equation for this line?
a)
y = x - 2
b)
y = x + 2
c)
y = 2x
d)
y = -x + 2
33.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
34.

The table shows the relationship between y, the cost to rent a boat, and x, the amount of time the boat is rented. Which graph best represents the relationship between x and y shown in the table? (7.7A)

a)
b)
c)
d)
35.

Determine the missing value in the table.

(a)  

36.

What is the slope of the line with the equation y = 4x + 12

(a)  

37.

Find the slope of the line that passes through (1, -4) and (-2, -7)

(a)  

38.

Find the slope.

(a)  

39.
What are the coordinates of point a? 
a)
(2,4)
b)
(2, -4)
c)
(-2, -4)
d)

(-2, 4)

40.

Find the slope. 

(a)  

41.

For the line y = 2x + 3, what are:

a) the slope

b) the y-intercept?

a)

a) Slope = 2

b) y-intercept = 3

b)

a) Slope = -2

b) y-intercept = 3

c)

a) Slope = 3

b) y-intercept = 2

d)

a) Slope = -3

b) y-intercept = 2

42.

Find the slope of the line.

(a)  

43.

Find the slope of the line.

(a)  

44.

What does mm stand for in the equation:

y=mx+by=mx+b  

a)

y-axis

b)

slope

c)

y-intercept

d)

vertical intercept

45.

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

(a)  

46.

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

a)

y=36y=3-6

b)

y=3x6y=3x-6

c)

y=3x+6y=3x+6

d)

y=6x+3y=6x+3

47.

Explain how you know if a slope is negative or positive.

4 lines
48.

A positive slope means...

a)

The x and y values can be positive

b)

As the x value increases the y value decreases

c)

As the x value decreases the y value decreases

d)

As the x value increases the y value increases

49.

A negative slope means...

a)

The x and y values can be negative

b)

As the x value increases the y value decreases

c)

As the x value decreases the y value decreases

d)

As the x value increases the y value increases

50.

Find the slope

(a)  

51.

Find the slope:

(a)  

52.

Find the slope of the line.

(a)  

53.

The table shows a proportional relationship between the distance a spring stretches and the weight the spring is holding in newtons.

What value should go in the highlighted cell?

(a)  

54.

The table shows a proportional relationship between the distance a spring stretches and the weight the spring is holding in newtons.

What value should go in the highlighted cell?

(a)  

55.

The table shows a proportional relationship between the distance a spring stretches and the weight the spring is holding in newtons.

What value should go in the highlighted cell?

(a)  

56.

What is the constant of proportionality (slope) in this line?

(a)  

57.

Nancy can type 50 words per minute. Look at the table to decide which equation that matches the data.

a)
m=50 + w
b)
w= 50m
c)
w= 50 + m
d)
m= 50 - w
58.

A proportion is two ratios that are __________.

a)

parallel

b)

equal

c)

not equal

d)

in deep, deep love with each other

59.

When figures are similar, their corresponding sides are__________________.

a)

congruent

b)

proportional

c)

complimentary

d)

supplementary

60.

Select ALL the true statements

a)

The blue line is moving twice as fast as the black line.

b)

The black line is moving twice as fast as the blue line.

c)

The blue line is moving at 1 mph.

d)

The black line is moving at 5 mph.

e)

t

61.

When looking at a graph of a proportional relationship what would I expect to see?

a)

The graph will pass through the origin (0, 0)

b)

The graph will be a straight line

c)

The graph will be be curved

d)

The x and y values will be equal

62.

A farm is advertising 3.50/5 lb pumpkin. How much would you expect to pay for an 8 lb pumpkin?

(a)  

63.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

64.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
65.

Which graph represents 2x + 4y = 12?

a)
b)
c)
d)
66.

What is the slope-intercept form of a line?

a)

Ax + By = C

b)

y = mx + b

c)

y - y1 = m(x - x1)

d)

y = Ax + By

67.
What is the y-intercept of
2x-5y=35?
a)
(0,-7)
b)
(-7,0)
c)
(35/2, 0)
d)
(0,35/2)
68.

 Is (3, 4) a solution to the following equation:

y=3x+4y=3x+4

a)

Yes

b)

No

69.

 Is (1, 7) a solution to the following equation:

y=3x+4y=3x+4

a)

Yes

b)

No

70.

 Is (-3, 5) a solution to the following equation:

y=3x+4y=3x+4

a)

Yes

b)

No

71.

 Is (-3, 5) a solution to the following equation:

y=3x+4y=-3x+4

a)

Yes

b)

No

72.

 Is (-1, 7) a solution to the following equation:

y=3x+4y=-3x+4

a)

Yes

b)

No

73.

 Is (1, 7) a solution to the following equation:

y=3x+4y=-3x+4

a)

Yes

b)

No

74.

 Is (1, 1) a solution to the following equation:

y=3x+4y=-3x+4

a)

Yes

b)

No

75.

 If xx is 3 in the following equation

  y=3x+4y=3x+4  

What is the value of yy ?



(a)  

76.

Jacob collects hats. He has 36 hats already, and he collects 2 hats a month. Which equation could be used to determine the total number of hats Jacob has, y, after x months have passed.

a)

y=2x+36y=2x+36

b)

y=36x+2y=36x+2

c)

y=2x36y=2x-36

d)

y=36x2y=36x-2

77.

A plant is 5 cm tall and is growing at a rate of 3 cm a month. Which equation could be used to calculate the height (cm) of the plant, y, in x months?

a)

y=5+3y=5+3

b)

y=5x+3y=5x+3

c)

y=3x+5y=3x+5

d)

y=3x+5xy=3x+5x

78.

Which equation would fit the given graph?

a)

y=360x20y=360x-20

b)

20x+y=36020x+y=360

c)

20y+x=36020y+x=360

d)

y=20x+360y=20x+360

79.
What is the meaning of the slope in the context of the problem?
a)
It costs $3 for each book.
b)
The cost of 3 books.
c)
Each book costs $1.
d)
$1 for 3 books.
80.

You're looking at stock options and find that Green Hills, Inc has options that cost $4.35 each. Pear, Inc. cost $6.25. You have $125 to invest. Using p as the number of Pear stocks and g as the number of Green Hills stocks, which equation represents the number of each stock you could buy?

a)

4.35g+6.25p=1254.35g+6.25p=125

b)

4.35p+6.25g=1254.35p+6.25g=125

c)

4.35g6.25p=1254.35g-6.25p=125

d)

4.35+6.25=1254.35+6.25=125