7th Grade Fourth Six Weeks Test

Jared is making a scale drawing of his house. Some of the measurements in Jared's drawing are listed in the drawing below.

Based on the information in the table, which equation can be used to represent the constant rate of change between y feet and x inches.

• A y = x minus 1/2

• B 1 and 1/3 x

• C y = negative 3/4 x

• D y = 3/4 x

A certain cookie recipe calls for 2 cups of flour to make one batch of cookies. Which graph best represents the relationship between the amount of flour and the number of batches of cookies that can be made using this recipe?

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In science class, Antonio and Anna were using a science probe attached to a laptop to measure the speed of a marble as it exits from an 8-foot-long ramp. To double-check the speed, they measured a section of the floor that was 12.5 feet in length and used a stopwatch to mark the time each marble took to travel that distance. Antonio and Anna discovered that it took 2.1 seconds for a marble to travel 12.5 feet. They used the formula r equals d over t to determine their calculation where distance, d, was measured in feet, and time, t, was measured in seconds. What was the constant rate of change that the marble traveled in feet per second to the nearest hundredth?

• A 5.95 feet per second

• B 9.76 feet per second

• C 16.80 feet per second

• D 26.25 feet per second

The table shows a relationship between x and y.

What is the constant of proportionality, k , which relates the variable y to the variable x?

• F 3/4

• G 10/7

• H 4/3

• J 7/10

The table below shows the relationship between the side length of a polygon and its perimeter.

Which of the following is the constant of proportionality for this relationship?

• A 0.125

• B 8

• C 1

• D 4

George is at a motorcycle auction and is going to buy a new bike. A brand new bike is priced at x, which is 3/4 of the original price, with an additional discount of $600. Which of the following equations represents y, the price George paid for the motorcycle?

• F y = negative 3/4 x minus 600

• G y = 3/4 x plus 600

• H x = 3/4 y minus 600

• J x = 3/4 y plus 600

Which of these equations represents the graph?

• A y equals 3 x plus 2

• B y equals 2 x minus 3

• C y equals 2 x plus 3

• D y equals 3 x minus 2

Consider the graph.

Which equation represents the relationship between the x-values and y-values in the graph?

• F y equals 3/5 x minus 5

• G y equals 3/5 x plus 5

• H y = 5 x minus 3/5

• J y = negative 5 x plus 3/5

Triangle ABC and triangle DEF are similar.

Which proportion must be true?

• A $\frac{EF}{DF}\ =\ \frac{BC}{AC}$

• B $\frac{AB}{DE}\ =\ \frac{BC}{DF}$

• C $\frac{AC}{AB}\ =\ \frac{DE}{DF}$

• D $\frac{AB}{BC}=\ \frac{EF}{DF}$

The triangles in the diagram are similar.

Which statement about the triangles is true?

• F The corresponding angles are congruent, and the corresponding sides are proportional.

• G The corresponding angles are congruent, and the corresponding sides are congruent.

• H The corresponding angles are proportional, and the corresponding sides are proportional.

• J The corresponding angles are proportional, and the corresponding sides are congruent.