Download 10-28 Grocery Store Worksheet

Name
CHAPTER
3
Date
Class
Performance Assessment Teacher Support
Grocery Store Game
Purpose
This performance task assesses the student’s ability to write and solve
compound inequalities, specifically intersections.
Time
30–45 minutes
Grouping
Individuals or partners
Preparation Hints
Review the two types of compound inequalities, intersections and
unions, and remind students of some of the application problems where
intersections were used to find an unknown value in a given range.
Overview
This task uses a game from a popular TV show in which contestants try to
buy between $20 and $21 of grocery-store items. Compound inequalities
are used to figure out prices and quantities that would meet the target
criteria. Students also use number sense to round appropriately and find
values within the range of the inequality that meet given conditions.
Introduce the Task
Ask students if they have ever seen the Grocery Game on The Price is
Right. If students are familiar with the games on The Price is Right, ask
what other games could be described by inequalities. Examples include
Cliff Hangers (the sum of differences between guessed prices and actual
prices must be less than $25), the Range Game (the actual price must
be in a range of $600), and Shopping Spree (the sum of three out of four
prizes must be greater than a target price).
Performance Indicators
_____ Writes compound inequalities.
_____ Solves compound inequalities.
_____ Explains how to round values given the context of the problem.
_____ Explains how to graph points and/or inequalities on a number line.
_____ Identifies whole-number or decimal values that satisfy conditions.
Scoring Rubric
Level 4: Student solves problems correctly and gives good explanations.
Level 3: Student solves problems but does not give satisfactory
explanations.
Level 2: Student solves some problems but does not give satisfactory
explanations.
Level 1: Student is not able to solve any of the problems.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
59
Holt Algebra 1
Name
CHAPTER
3
Date
Class
Performance Assessment
Grocery Store Game
Justin is a lucky guy! He has a chance to win a trip on the TV game show
You Can Price Like a Pro. All he has to do is win the Grocery Store Game.
In this game, Justin is shown six grocery-store items without being shown
the prices. He must buy multiples of items until he has a total between $20
and $21 inclusive. If he doesn’t reach $20 with his first item, he continues
buying items and adding to his total, until he either wins or goes over $21.
1. Justin begins by buying six bottles of hand lotion.
a. Write a compound inequality to find the range
of prices for one bottle of lotion that would make
Justin win instantly.
b. Solve the compound inequality. Round each
answer to the hundredths place.
c. In your work for part b, you should have gotten a repeating decimal.
Explain how you decided whether to round this number up or down.
d. Explain how you would graph the solutions in part b on a number line.
2. One bottle of lotion actually costs $2.99. That gives Justin a running total
of $17.94. He now considers buying packages of gum.
a. Justin guesses that one package of gum costs
$0.50. Write a compound inequality to find how
many packages he should buy.
b. Solve your compound inequality from part a.
Write your answer as a compound inequality.
c. Justin can only buy whole packages of gum.
Assuming each package actually costs $0.50,
how many could he buy to win the game?
3. Justin plays it safe and buys four packages of gum, and he wins!
a. Write a compound inequality to find the range
of actual prices for one package of gum.
b. Solve your compound inequality from part a.
Don’t round your answers.
c. If the actual price of one package of gum ends
with a 9, what could the price have been?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
60
Holt Algebra 1
Answer Key
continued
17. 13 c 6
14
12
10
8
19. x 0.5 OR x 0.25
20. no solutions, 20. 1 x 5
21. z 2 OR z z 1
21. all real numbers, ⺢
Chapter 3 Performance Assessment
Chapter 3 Free-Response Test Form C
1 a. 20 6b 21
1. all real numbers greater than or equal to 9
b. 3.34 b 3.50
c. Possible answer:
The repeating
_
decimal 3.33 needs to be rounded up
because 6($3.33) $19.98, which
would not win the game.
3. x 2
4. t thickness; t 4
d. Possible answer: The values in the
compound inequality represent
dollars and cents, so you should graph
solid points at 3.34, 3.35, 3.36, and so
on, up to 3.50.
2
5. y 5__
3
19. x 1 OR x 1
2.
18. a 4 OR a 7.5
6
18. a 3 OR a 10
2 a. 20 0.50p 17.94 21
b. 4.12 p 6.12
6. f 1
c. 5 or 6 packages
3 a. 20 4g 17.94 21
7. 24 x 64; x 40
1
8. x __
2
9. d 45
b. 0.515 p 0.765
c. $0.59 or $0.69
Chapter 3 Cumulative Test
10. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10 nights
2
11. n __
5
12. a 16
1. C
13. greater than 67
4. A
14. no solutions
9
15. y ___
10
16. at least 17 baskets
5. D
2. B
3. B
6. C
7. C
17. 8 n 9
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
8. A
240
Holt Algebra 1