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WorksheetsRatios, Proportions and Slope Review for Test
Total questions: 60
Worksheet time: 1hrs 29mins
Name
Class
Date
1.
Simplify the ratio of
35 : 14
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
2.
88 students for 4 classes
How many students per class?
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
3.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
4.
a)
a
b)
b
c)
c
d)
d
5.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
6.
Which one is a real life example of a RATIO?
a)
12 noodles
b)
4 meatballs : 1 cup of sauce
c)
1 jar of sauce
d)
15 desserts
7.
a)
20 pencils
b)
24 pencils
c)
96 pencils
d)
48 pencils
8.
If we have the following recipes for juice, which one will taste the most cherry:
Sam: 1 part cherry, 4 parts sprite
Katie: 2 parts cherry, 4 parts sprite
Michael: 6 parts cherry, 8 parts sprite
Sam: 1 part cherry, 4 parts sprite
Katie: 2 parts cherry, 4 parts sprite
Michael: 6 parts cherry, 8 parts sprite
a)
Michael
b)
Katie
c)
Sam
9.
What is the ratio of flames to arms on the candle?
a)
3:2
b)
3:5
c)
11/10
10.
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 minutes
b)
9 minutes
c)
16 minutes
d)
18 minutes
11.
Express the ratio as a fraction in simplest form:
18 ounces to 3 cups
18 ounces to 3 cups
a)
6 to 1
b)
1/6
c)
18/3
d)
3/18
12.
Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.
a)
7:5
b)
5:7
c)
3:5
d)
5:3
13.
A class has 15 boys and 20 girls. What is the boy:girl ratio in simplest form?
a)
4 to 5
b)
10 to 13
c)
3:4
d)
3:5
14.
Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?
a)
3:5
b)
1:3
c)
3:11
d)
3:10
15.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
16.
Tommy has a bag of LEGOS. There are 6 yellow, 3 red, and 8 blue LEGOS. What is the ratio in simplest form of red to yellow LEGOS?
a)
1/2
b)
6/3
c)
2/1
d)
3/6
17.
Which ratio represents the relationship of bananas to apples?
a)
3:8
b)
8:3
c)
3:2
d)
2:3
18.
Which represents the relationship of oranges to fruit?
a)
2:6
b)
2:4
c)
4:6
d)
4:2
19.
The Northwestern huskies had a record of 25 wins and 45 losses. What was the ratio of wins to losses?
a)
9:5
b)
5:9
c)
5:3
d)
3:5
20.
Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?
a)
$50 per hour
b)
$12 per hour
c)
$192 per hour
d)
$25 per hour
21.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
22.
Ben drinks tea at a relatively quick rate. He drinks 1/2 liter of tea every 2/3 of an hour. How much tea does Ben drink per hour?
a)
1 and 1/3 of an hour per liter
b)
3/4 of a liter per hour
c)
1 and 1/3 liter per hour
d)
3/4 of an hour per liter
23.
Jada can read 3/5 of a book in 1/4 of an hour. How long would it take her to read one whole book?
a)
2 and 2/5 books per hour
b)
2 and 2/5 hours per book
c)
5/12 of an hour per book
d)
5/12 of a book per hour
24.
What was Brian's unit rate?
a)
3/2 word per minute
b)
30 minutes per word
c)
60 minutes per word
d)
30 words per minute
25.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
26.
Find the slope from the graph
a)
0
b)
undefined
c)
5
d)
-5
27.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
28.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
29.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
30.
The car travels 440 miles in 8 hours. What is the unit rate?
a)
12 miles per hour
b)
55 miles per hour
c)
110 miles per hour
d)
44 miles per hour
31.
Find the unit rate.
A fertilizer covers 5 /8 square foot in 1/ 4 hour
A fertilizer covers 5 /8 square foot in 1/ 4 hour
a)
1.5 square feet per hour
b)
1 square foot per hour
c)
2 square feet per hour
d)
2.5 square feet per hour
32.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
33.
The constant of proportionality can be found by finding the __________ _____________.
a)
unit rate
b)
ratio rate
c)
proportion answer
d)
rational number
34.
What makes a graph proportional?
a)
Straight line
b)
The line goes through the origin
c)
Curvy line
d)
Straight line and the line goes through the origin
35.
Determine the constant of proportionality.
a)
5
b)
0.2
c)
1
d)
1.4
36.
a)
$15
b)
$20
c)
$60
d)
$180
37.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
38.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
39.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
40.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
41.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
42.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
43.
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
44.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
45.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
46.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
47.
find the slope
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
48.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
49.
Find the slope of the line that passes through (-9, -6) and (-9, -10)
a)
0
b)
Undefined
c)
-3
d)
-9
50.
At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. What is her rate in feet per second?
a)
10 feet per second
b)
5 feet per second
c)
2 feet per second
d)
6 feet per second
51.
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
52.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
53.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
54.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
55.
Determine the slope and y-intercept. 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)
56.
Amy is on a weight loss show. When the show began, she weighed 231 pounds. During the show, she lost 4 pounds per week. Which equation represents the amount of weight she lost?
a)
y = 4 - 231x
b)
y = 231x - 4
c)
y = 231 - 4x
d)
y = 4x + 231
57.
If Karen is making cupcakes represented by the equation y=12x where y is the number of cupcakes and x is the number of hours spent cooking, and Sarah makes cupcakes as represented in the table, who is faster?
x 0 1 2 3
y 0 16 32 48
x 0 1 2 3
y 0 16 32 48
a)
Karen
b)
Sarah
58.
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 = 30,000ft - 2,000ft(x)
b)
y = 30,000ft + 2,000ft(x)
c)
y = 30,000ft(x) - 2,000ft
59.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?
a)
Beth's service ($38 vs. $40) is cheaper
b)
Nate’s service ($42 vs. $44) is cheaper
c)
Nate’s service ($38 vs. $40) is cheaper
d)
Beth's service ($42 vs. $44) is cheaper
60.
Which company should you use if you rent the raft for 9 hours?
a)
Water's Edge Rafts
b)
Ryan's Rafts
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