Unit 4 Review for Post Test and Performance Task

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Name: Ms. Logan Class: Date: Unit 4 Review for Post Test and Performance Task 7.RP.2. Proportional Relationships 1. The I.S. 230 staff ordered 8 boxed lunches from Jax s Inn Diner for $81.20.

1 Name: Ms. Logan Class: Date: Unit 4 Review for Post Test and Performance Task 7.RP.2. Proportional Relationships 1. The I.S. 230 staff ordered 8 boxed lunches from Jax s Inn Diner for $ Each boxed lunch cost the same amount. Which equation represents the proportional relationship between y, the total cost of the boxed lunches, and x, the number of boxed lunches? A 10.15x = y B C 81.20x = y D 2. Mahnoor uses blue and orange fabric to make identical wall decorations. The graph below shows the relationship between the amounts of blue and orange fabric used. What is the constant of proportionality as shown in the graph? 1

2 3. Which table below contains values that represent a directly proportional relationship between x and y? X Y X Y A C X Y X Y B D The graph below shows the relationship between the number of people in a group and the total cost of admission tickets for a circus. Total Cost (dollars) y Circus Admission Number of People x What point on the graph represents the unit rate? 2

3 5. The cost of donuts in Dunkin Donuts is directly proportional to the number of donuts purchased. Justin paid $5.04 for 7 donuts. If c represents the cost, in dollars, and d represents the number of donuts purchased, which equation best represents this relationship? A c = 0.72d B c = 5.04d C c = 7d D c = 35.28d 6. Line KN represents a proportional relationship. Point N lies at (18, 12), as shown on the graph below. Which ordered pair could represent the coordinates of point K? A (12, 8) B (4, 6) C (1.5, 0) D (6, 0) 3

4 7. Nicole was shopping at the farmer s market. She observed the prices of the tomatoes at several stands. Which sign shows a proportional relationship in the pricing of the tomatoes? A Melina s Stand 5 tomatoes for $2.50 B Jaden s Stand 5 tomatoes for $ tomatoes for $ tomatoes for $ tomatoes for $ tomatoes for $ tomatoes for $ tomatoes for $7.00 C Umme s Stand 5 tomatoes for $1.50 D Frank s Stand 5 tomatoes for $ tomatoes for $ tomatoes for $ tomatoes for $ tomatoes for $ tomatoes for $ tomatoes for $ The cost of renting a boat for 4 hours is $65. If the cost of renting a boat is proportional to the number of rental hours, which of the following is not an equivalent rate? A 6 hours for $97.50 B 2 hours for $32.50 C 5 hours for $81.00 D 3 hours for $

5 9. The lines graphed below show the amounts of water in two tanks as they were being filled over time. For each tank, explain whether or not there is a proportional relationship between the amount of water, in gallons, and the time, in minutes. If there is a proportional relationship, identify the unit rate. Use specific features of the graph to support your answer. 7.RP.3. Percents 10. Ivan and Michelle each opened a savings account with a deposit of $200. Ivan earned 7.5% simple interest per year. Michelle earned 6% simple interest per year Neither of them made additional deposits or withdrawals. How much more did Ivan receive in interest than Michelle after three years? 5

6 11. A clothing store used the sign shown below to advertise a discount on sweaters. DISCOUNT Buy Two Sweaters Get 40% off Third Sweater Jessica wants to buy three sweaters, which were originally priced at $32.46 each. The store will discount the price of the third sweater and then apply an 8.75% tax to the total cost of all three sweaters. Including the tax, what will be the average cost of each sweater? 12. Last year 1,420 people attended the Macy s Thanksgiving day parade. This year 2,343 people attended. What was the percent increase in attendance from last year to this year? 13. A corporation had $250,000 in a bank account on January 20. On February 20, the amount of money in the account had decreased by 15%. On March 20, the amount of money in the account was a quarter of the amount that was in the account on February 20. How much money was in the account on March 20? 14. Devin wants to use his 12% employee discount to buy a video game that is priced at $ A 8.75% sales tax is applied to the discounted price. What will be the total cost of the video game, including the sales tax? 6

7 15. Target was selling basketballs for $20 each. A customer signed up for a free membership card and received a 10% discount off the price. Sales tax of 10% was applied after the discount. What was the final price of the basketball? 16. A rectangular brick walkway has a length of twenty feet and a width of eight feet. The length and the width of the walkway will each be expanded by 20%. What will be the increase in the area, in square feet, of the walkway? 17. Last week, Mr. Friedman paid $32.30 for gallons of gas. This week, he bought gallons of gas. The cost per gallon of gas increased by 7% between last week and this week. How much did Mr. Friedman pay for the gallons of gas this week? 18. A store held a going-out-of business sale where everything was 35% off. Jackson spent a total of $ What would he have spent on the same items if there had been no sale? 7

8 19. Three friends own architectural business. The number of hours each friend spent on the same project is shown in the table below. HOURS WORKED ON ARCHITECTURAL PROJECT Name Hours Worked Isabella 17 Kimberly 18 Shaiyar 14 In total, they earned $850 for the job. They put 15% of this amount into a joint savings account for future expenses. They then divided the rest proportionally based on the number of hours each worked. How much money did Shaiyar receive? 20. The coach for a basketball team wants to buy new shoes for her players. Foot Action is offering a 15% discount on each pair of shoes, which were originally priced $ A 7.25% sales tax will be applied to the discounted price. The same shoes are also available on Dick s Sporting Good s web site for $ An 8% processing fee will be applied to the cost of the shoes, plus a shipping fee of $3.99 for each pair. What is the difference in the total cost of the 16 pairs of shoes between the two stores? 8

KDS Grade 7 Math Comprehensive Assessment SBAC Assessment ID: dna ib

KDS Grade 7 Math Comprehensive Assessment SBAC Assessment ID: dna ib 1 Select the two tables that represent a proportional relationship between x and y. A. x 2 1 0 1 y 4 2 0 2 B. x 0 1 2 3 y 5 8 11 14 C. x 3 5 7 9 y 21 35 49 63 D. x 0 2 4 6 y 0 12 20 28 2 1 Timmy uses 1