Math ยท Ratios
Proportional Relationships and Unit Rates
Find the constant of proportionality, solve proportions and spot proportional tables, graphs and equations.
- ๐ Grade 7
- ๐งฎ Math
- ๐ 7.RP.A.2
- โ 20 questions
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y is proportional to x. When x = 6, y = 24. What is the constant of proportionality?
- A 18
- B 1/4
- C 144
- D 4
k = y รท x = 24 รท 6 = 4
y = 3.5x. What is y when x = 8?
- A 11.5
- B 28
- C 4.5
- D 2.29
3.5 ร 8 = 28
Which equation shows a proportional relationship?
- A y = 5x + 2
- B y = x + 5
- C y = 5x
- D y = 5
Which set of (x, y) pairs is proportional?
- A (1, 3), (2, 5), (3, 7)
- B (1, 4), (2, 6), (3, 8)
- C (1, 3), (2, 6), (4, 12)
- D (2, 3), (4, 5), (6, 7)
A proportional graph is a straight line that passes through which point?
- A (1, 0)
- B (0, 1)
- C (1, 1)
- D (0, 0)
On a proportional graph, the point (1, r) shows what?
- A the unit rate r
- B the y-intercept
- C the x-intercept
- D the total
Apples cost $2.40 for 3 pounds. Which equation gives the cost c for p pounds?
- A c = 3p
- B c = 0.8p
- C c = 2.4p
- D c = p + 0.8
A car uses 4 gallons of gas for 112 miles. How far can it go on 10 gallons?
- A 448 miles
- B 118 miles
- C 1,120 miles
- D 280 miles
112 รท 4 = 28 mi/gal, ร 10 = 280
A map scale is 1 inch : 25 miles. Two towns are 3.5 inches apart. How far apart are they?
- A 75 miles
- B 28.5 miles
- C 7.14 miles
- D 87.5 miles
3.5 ร 25 = 87.5
Solve the proportion: 4/10 = x/25
- A x = 62.5
- B x = 16
- C x = 19
- D x = 10
4 ร 25 = 100, and 100 รท 10 = 10
Solve the proportion: 3/x = 9/24
- A x = 72
- B x = 8
- C x = 12
- D x = 18
3 ร 24 = 72, and 72 รท 9 = 8
Solve the proportion: 7/4 = 21/x
- A x = 3
- B x = 18
- C x = 12
- D x = 36.75
4 ร 3 = 12
Jen walks 1/2 mile in 1/4 hour. What is her speed in miles per hour?
- A 3/4 mile per hour
- B 1/8 mile per hour
- C 1/2 mile per hour
- D 2 miles per hour
1/2 รท 1/4 = 2
A recipe uses 2/3 cup sugar for 1/2 batch. How much sugar per full batch?
- A 1 1/6 cups
- B 2/3 cup
- C 1/3 cup
- D 1 1/3 cups
2/3 รท 1/2 = 4/3
Workers earn $13.50 per hour. Which table matches?
- A 2 h: $27, 4 h: $52
- B 2 h: $26, 4 h: $54
- C 2 h: $15.50, 4 h: $17.50
- D 2 h: $27, 4 h: $54
In y = kx, a store sells 6 pens for $9. What is k in dollars per pen?
- A 15
- B 0.67
- C 1.5
- D 54
A printer prints 45 pages in 3 minutes. Is pages vs. minutes proportional?
- A Yes, k = 1/15 page per minute
- B Yes, k = 3 pages per minute
- C No, the rate changes
- D Yes, k = 15 pages per minute
A taxi that charges $3 plus $2 per mile is a proportional relationship.
False The $3 start fee means the graph does not pass through (0, 0).
If y = 7x, then doubling x doubles y.
True
A 12-oz drink has 150 calories. How many calories in 20 oz?
- A 158
- B 250
- C 1,800
- D 180
150 รท 12 = 12.5 per oz, ร 20 = 250
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