Quiz: Grade 7 – Proportional Relationships

Multiple Choice

1. How many weeks is this chapter designed to take?
A) 3 weeks
B) 4 weeks
C) 6 weeks
D) 8 weeks

2. What is the title of Section 4.1?
A) Understand and Apply Unit Rates
B) Construct and Analyze the Representations of Proportional Relationships
C) Analyze and Use Proportional Relationships and Models to Solve Real-World Problems
D) Tasting Lemonade

3. According to the resource, fractions represent which type of relationship?
A) Part-to-part
B) Part-to-whole
C) Whole-to-whole
D) Rate-to-ratio

4. In the walking example given in the standards, a person walks 1/2 mile in 1/4 hour. What is the unit rate?
A) 1/2 mile per hour
B) 1 mile per hour
C) 2 miles per hour
D) 4 miles per hour

5. Which equation is used as the example for representing total cost (t) proportional to number of items (n) at constant price (p)?
A) t = p + n
B) t = pn
C) n = tp
D) p = tn

6. Which of the following is NOT listed in the chapter's vocabulary list?
A) Constant of proportionality
B) Bar/Tape model
C) Percent change
D) Slope-intercept form

7. Standard 7.RP.2d gives special attention to which two points on the graph of a proportional relationship?
A) (1, 0) and (0, r)
B) (0, 0) and (1, r)
C) (0, 1) and (r, 0)
D) (r, r) and (0, 0)

8. Which of these is listed as an example of a multi-step problem type under 7.RP.3?
A) Simple interest
B) Long division
C) Prime factorization
D) Order of operations

Short Answer

9. Name two ways, according to the resource, that a proportional relationship can be tested to decide whether two quantities are proportional (as described in standard 7.RP.2a).

10. According to the "Prior Knowledge" section, what skills from 6th grade and earlier chapters should students already have before starting this chapter?

11. List the three main sections (4.1, 4.2, 4.3) of this chapter and briefly state what each one focuses on, based on their titles.

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Answer Key

1. C) 6 weeks
2. A) Understand and Apply Unit Rates
3. B) Part-to-whole
4. C) 2 miles per hour
5. B) t = pn
6. D) Slope-intercept form
7. B) (0, 0) and (1, r)
8. A) Simple interest

1. Testing for equivalent ratios in a table, or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

1. Students should be able to draw models of part-to-part and part-to-whole relationships, operate fluently with fractions and decimals (reducing fractions, representing division as a fraction, converting between mixed numbers and improper fractions), and solve percent problems using models; they also learned to write ratios (using fractions, colons, or words) in 6th grade.

2. 4.1: Understand and Apply Unit Rates
3. 4.2: Construct and Analyze the Representations of Proportional Relationships
4. 4.3: Analyze and Use Proportional Relationships and Models to Solve Real-World Problems