Review_for_Exam_1

# Review_for_Exam_1 - Math 105 Review for Exam 1 1 There are...

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1 Math 105 Review for Exam 1 1. There are G gallons of antifreeze in a container. If 3 1 of the antifreeze in the container is poured out and then another 1 2 1 gallons are poured out, then how much antifreeze is left in the container? Write a formula in terms of G. Then evaluate your formula when G = 4. [See Section 13.1, Practice Problems 9 – 12 and Class Activities 13G, 13H, and 13I.] 2. Abby had A cards in her card collection. After Abby gave away 4 1 of her collection she got another 12 cards. Then Abby gave away 3 1 of her cards. Write an expression in terms of A for the number of cards that Abby has now. [See Section 13.1, Practice Problems 9 – 12 and Class Activities 13G, 13H, and 13I.] 3. Bob had B marbles in his marble collection. After Bob got another 15 marbles, he gives away 5 1 of his marbles. Then Bob has 32 marbles. Write an equation, involving B, that corresponds to this situation. [See Section 13.1, Practice Problems 9 – 12 and Class Activities 13G, 13H, and 13I.] 4. There are 1 2 1 times as many girls as boys in a club. Write an equation that corresponds to this situation and uses G for the number of girls and B for the number of boys in the club. [See Section 13.1, Practice Problem 13 and Class Activity 13H.] 5. Create story problems for each of the following expressions or equations and solve for x : a. 30 5 4 N b. ) 30 ( 5 4 N c. 100 20 3 1 x d. 100 ) 20 ( 3 1 x e. 150 30 3 2 x f. 150 ) 30 ( 3 2 x g. 24 4 3 2 1 3 2 x

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2 h. 24 4 1 2 1 3 1 x 6. April spent 9 4 of her money. She has \$20 left. How much money did she have at first? Solve this problem in two ways: with the aid of a diagram and with equations. Explain your reasoning. [See Section 13.2, Practice Problems 3 – 5 and Class Activity 13M.] 7. Mr. Smith gave 5 3 of his money to his wife and spent 4 1 of the remainder. If he has \$150 left, how much money did he have at first? Solve this problem in two ways: with the aid of a diagram and with equations. Explain your reasoning.[See Section 13.2, Practice Problems 3 – 5 and Class Activity 13M.] 8. Bob had a marble collection. After Bob got another 15 marbles, he gives away 1 5 of his marbles. Then Bob has 32 marbles. How many marbles did Bob have at first? Solve this problem and
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Review_for_Exam_1 - Math 105 Review for Exam 1 1 There are...

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