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Back to Tutor Intake Assessment: Ratios and Proportional Relationships

7.RP Tutor Intake — Ratios, Proportional Relationships, and Percents

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Grade 7·11 problems·~18 min·Common Core Math - Grade 7·domain·7-rp
Work through problems with immediate feedback
A

Concepts

1.

A graph shows two quantities plotted on a coordinate plane. Which
property confirms the two quantities are in a proportional
relationship?

2.

The point (1,6.5)(1, 6.5) is on the graph of a proportional relationship.
What does this point tell you about the relationship?

3.

A jacket originally costs $80. The store marks it up 15% for retail,
then applies a 10% discount for a sale. Which type of percent
problem gives you the final sale price?

B

Procedures

1.

A car travels 34\dfrac{3}{4} mile in 12\dfrac{1}{2} hour. What is
the unit rate in miles per hour?

2.

Compute: 5/62/3\dfrac{5/6}{2/3}. Simplify completely and enter your
answer as a fraction or decimal.

3.

The table shows values for a proportional relationship.

xxyy
27
414
621

What is the constant of proportionality kk?

4.

A proportional relationship has constant of proportionality k=4k = 4.
Write an equation of the form y=kxy = kx for this relationship, then
find the value of yy when x=9x = 9. Enter only the value of yy.

5.

A pair of shoes costs $60 and is marked down 20%. What is the sale
price? Enter a dollar amount (e.g., $48).

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