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Ch 6 Extended Response - Algebra A

Last updated over 5 years ago

6 questions

1

Question 1

1.

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You've earned the following scores on your science tests: 75, 82, 90, 84, and 71. You want to have an average scores of at least an 80 after you take the 6th test.
a. List key information from this problem.
b. Describe how you would find average (step-by-step).
c. Find possible scores you can earn on your 6th test to meet your goal.
d. If the greatest score you can earn on a test is 100, is it possible to earn a score of 90? Explain your reasoning.

Question 2

2.

You have a $300 gift card to use at a sporting goods store. You want to use your giftcard to buy two pairs of shoes for $85 each and several pairs of socks. How much money can you spend on socks?
a. List key information from this problem.
b. Develop a model to represent this situation (an equation, inequality, picture, graph, table, etc.).
c. Solve the problem.

Question 3

3.

Referring to the previous problem, suppose socks cost $4.75 per pair. Write and solve an inequality to find the possible number of pairs of socks you can buy using the card.

Question 4

4.

Explain when a compound inequality has no solution. Write an example problem to support your answer.

Question 5

5.

True or false. If false, explain your answer using an example.

I a is a solution of x<5, then a is also a solution to

Question 6

6.

Write an inequality of the form ax>4 such that the solution is all real number greater than 4.