# 7th Grade Ratios and Proportional Relationships

## SBAC Math Practice

This quiz illustrates the range of difficulty expected by the following Common Core State (CCS) standards:

 Question Common Core Standard # CCSS Math Excerpts 1 7.RP.1 ...compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units... 2 7.RP.1 ...compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units... 3 7.RP.2a ...decide whether two quantities are in a proportional relationship, e.g., by 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... 4 7.RP.2b ...identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships... 5 7.RP.2b ...identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships... 6 7.RP.2c ...represent proportional relationships by equations... 7 7.RP.2d ...explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0,0) and (1,r) where r is the unit rate... 8 7.RP.3 ...use proportional relationships to solve multistep ratio and percent problems... 9 7.RP.3 ...use proportional relationships to solve multistep ratio and percent problems... 10 7.RP.3 ...use proportional relationships to solve multistep ratio and percent problems...

Question 1: Half a pound of flour is poured into a jar. If the flour occupies two fifths of the jar, what quantity of flour could be stored in the jar?

Question 2: Three fourths of two thirds of a meter is:

Question 3: Line v in the coordinate graph below represents the distance in time travelled by a vehicle. What is the distance travelled after 75 minutes?

Question 4 and 5: The revenue of an online store is proportional to the monthly marketing budget of the store, as can be seen in the table below:

 Month Marketing Budget(\$) Online Revenue(\$) January 105,000 262,500 February 140,000 350,000 March 70,000 175,000 April 140,000 350,000

The constant of proportionality between the online revenue and the marketing budget is . If the marketing budget for the month of May was \$128,000, the online revenue of the same month was \$.

Question 6: If the average duration of a song on a CD is x, the number of songs on the CD is n, and the total duration of the songs from the CD is q, then:

Question 7: In the coordinate plane below, the equation of the line that passes through the points O(0,0) and A(1,n) is:

Question 8: There were 260 students enrolled in a school last year and 40 teachers employed by the same school. This year the number of students increased by 10% but the number of teachers decreased by 5%. Find the percent change of the student per teacher ratio of the school.

Question 9: The average price of a gallon of gas increased by 12% in 2010 and by 10% in 2011. By what percentage did the average price of a gallon of gas increase between January 1st 2010 and January 1st 2012?

Question 10: A school has 500 students and 30 English teachers and 20 math teachers. The ratio between the number of math teachers and the number of students of the school is .

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