Name:    Lesson 7: Solving Equations by Graphing

1.

Danielle earns \$9 per hour plus \$25 a week in tips working at Mike’s Car Wash during the summer. Select the equation that represents the amount she earns, A, after she works h hours in a week.
 a. A + 9h = 25 b. A = 9h + 25 c. A = 9h 25 d. 25 = A 9h

2.

Select the table of values that matches the equation from question 1.

A.
 Number of hours, h 5 7 9 11 Amount earned, A 70 88 106 124

B.
 Number of hours, h 5 7 9 11 Amount earned, A 25 43 61 79

C.
 Number of hours, h 5 7 9 11 Amount earned, A 70 95 120 145

D.
 Number of hours, h 5 7 9 11 Amount earned, A 45 63 81 99
 a. A b. B c. C d. D

3.

Select the graph that matches the equation from question 1.
 a. c. b. d. 4.

Use the graph to determine Danielle’s earnings if she works 25 h in a week. a. \$240 b. \$260 c. \$250 d. \$270

5.

Use the graph in question 4 to determine how many hours Danielle would have to work in a week to earn \$169.
 a. 15 hours b. 18 hours c. 17 hours d. 16 hours

6.

Gary used toothpicks to design this pattern of hexagons. Select the table of values that represents the pattern.

A.
 Figure number 1 2 3 4 5 Number of toothpicks 6 12 18 24 30

B.
 Figure number 1 2 3 4 5 Number of toothpicks 5 11 17 23 29

C.
 Figure number 1 2 3 4 5 Number of toothpicks 6 11 16 21 26

D.
 Figure number 1 2 3 4 5 Number of toothpicks 5 10 16 23 31
 a. A b. B c. C d. D

7.

Gary drew this graph to represent the number of toothpicks used for each figure in the pattern of hexagons. Use Gary’s graph to select the number of toothpicks used in Figure 13.
 a. 51 b. 81 c. 76 d. 66

8.

Use Gary’s graph from question 7 to determine which figure uses 86 toothpicks.
 a. 12 b. 17 c. 10 d. 18

9.

The graph represents the equation y = 4x + 5, where y is the term value and x is the term number. Use the graph to determine the term value for the 9th term number.
 a. 41 b. 49 c. 37 d. 53

10.

Use the graph from question 9 to determine which term number gives a term value of 69.
 a. 11 b. 18 c. 16 d. 14