7th Grade EOG Prep - Ratios and Proportions

John and Kamira are playing a game. John's score (J) and Kamira's score (K) after round 1 are shown on the number line.

The score recorded at the end of the first round is 2. What could this score represent?

• the sum of John's score and Kamira's score

• the difference between John's score and Kamira's score

• the absolute value of the difference of John's score and Kamira's score

• the sum of the absolute value of John's score and the absolute value of Kamira's score

• -798

• -79.8

• 79.8

• 798

During one week, Sheila made several changes to her bank account. She made four withdrawals of $40 each from an ATM. She also used her check card for a $156 purchase. Then she deposited her paycheck of $375.

By how much did the amount in her bank account change during that week?

• $59 increase

• $59 decrease

• $691 increase

• $691 decrease

Last year at a track meet, runner A and runner B both ran each of 4 laps in a race in 1.5 minutes. Runner A set a goal for this year of changing his total time for the race by -0.12 minutes with equal times for all four laps. Runner B set a goal for the year of changing his time on each lap by -0.025 minutes.

Runner A's goal is to change his time in each lab of the race by how many minutes?

• -0.48

• -0.12

• -0.03

• 0.03

• 0.48

Last year at a track meet, runner A and runner B both ran each of 4 laps in a race in 1.5 minutes. Runner A set a goal for this year of changing his total time for the race by -0.12 minutes with equal times for all four laps. Runner B set a goal for the year of changing his time on each lap by -0.025 minutes.

Runner B's goal is to change his total time by how many minutes?

• -0.025

• -0.1

• -0.00625

• 0.00625

• 0.1

The average rate of hair growth is 2.5 centimeters every 2 months. At that rate, how many months will it take to grow 22.5 centimeters of hair?

• 9 months

• 18 months

Consider the graph.

What does point A represent on this graph?

• When there are 12 web site visits, there are 4 downloads

• When there are 12 downloads, there are 4 website visits

• As the number of web visits increases by 12, the number of downloads decreases by 4.

• As the number of web visits decreases by 12, the number of downloads increases by 4.

During cooking, chicken loses 10% of its weight due to water loss. In order to obtain 1,170 grams of cooked chicken, how many grams of uncooked chicken must be used?

• 1,053 grams

• 1,287 grams

• 1,300 grams

• 1,340 grams

A satellite is 18 meters wide. A model of it was built with a scale of 1 centimeter : 3 meters. How wide is the model?

• 6 meters

• 6 centimeters

• 54 meters

• 54 centimeters

The points on the coordinate grid represent the costs for the different numbers of peaches.

Select THREE statements that are true about the grapsh

• There is proportional relationship between the number of peaches and the cost because a line can be drawn passing through the origin and connecting all the points shown.

• The point (1, 0.75) can be used to represent the unit rate of 0.75 dollars per peach.

• The point (1, 0.75) can be used to determine the total cost by subtracting 0.25 from the number of peaches

• The point (4, 3) represents the cost of $4 for 3 peaches.

• The point (4, 3) represents 4 peaches at a cost of $3.