Name:    Lesson 9.8: Solve Problems Using Logical Reasoning

1.

Ayla is considering the following problem.

The admission price for a child to the local zoo is \$2 less than the  admission price for a senior. The admission price for an adult is \$4 less than twice the admission price for a child. The admission price for a senior is \$14. What are the admission prices for adults and children?

Select the equation Ayla would use to solve the admission price for a child. In each equation, C represents the admission price for a child, S represents the admission price for a senior, and A represents the admission price for an adult.
 a. S C 2 b. A C + 2 c. A C 2 d. C S 2

2.

Select the equation Ayla would use to solve the admission price for an adult.
 a. S 2A 4 b. A 2C 4 c. A 2S 4 d. A 4 2C

3.

Use the correct equation from question 1 to select the correct admission price for a child.
 a. \$16 b. \$12 c. \$10 d. \$8

4.

Use the correct equation from question 2 and the correct solution from question 3 to select the correct admission price for an adult.
 a. \$20 b. \$12 c. \$24 d. \$10

5.

Derrick considers the following problem.

Alicia is 3 years younger than 2 times Clark’s age and Beverly is 7 years older than Clark. Clark is 9 years old. How old are Alicia and Beverly?

Select the equation that Derrick would use to solve Beverly’s age. In each equation, A represents Alicia’s age, B represents Beverly’s age, and C represents Clark’s age.
 a. B = A + 7 b. B = A 7 c. B = C + 7 d. C = B + 7

6.

Select the equation that Derrick would use to solve Alicia’s age.
 a. A = 2C 3 b. A = 2C + 3 c. A = 2B 3 d. C = 2A 3

7.

Use the correct equation from question 5 to determine Beverly’s age.
 a. 12 b. 16 c. 27 d. 20

8.

Use the correct equation from question 6, and the correct solution from question 7, to determine Alicia’s age.
 a. 15 b. 22 c. 19 d. 29

9.

Consider the following problem.

Taylor has \$84 in the bank. He deposits the same amount of money each week. After five weeks Taylor has \$359 in the bank. How much money did he deposit each week?

Select the correct equation that can be used to solve this problem.
 a. 359 5d – 84 b. 359 84 – 5d c. 359 84 + 5d d. 84 359 + 5d

10.

Use the correct equation from question 9 to solve the problem.
 a. \$55 b. \$14 c. \$35 d. \$28