Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Tell whether the given equation has the ordered pair as a solution.

8. y = x + 6; (0, 6)
9. y = 1 − x ; ( 2 , 1 ) y equals 1 minus x semicolon open 2 comma 1 close
10. y = − x + 3 ; y equals negative x plus 3 semicolon  (4, 1)
11. y = 6x; (3, 16)
12. − x = y ; ( − 3.1 , 3.1 ) negative x equals y semicolon open negative 3.1 comma 3.1 close
13. y = − 4 x ; ( − 2 , 8 ) y equals negative 4 x semicolon open negative 2 comma 8 close
14. y = x + 2 3 ; ( 1 , 1 3 ) y equals x plus , 2 thirds , semicolon . open . 1 comma , 1 third . close
15. y = x − 3 4 ; ( 2 , 1 1 4 ) y equals x minus , 3 fourths , semicolon . open . 2 comma 1 , and 1 fourth . close
16. x 5 = y ; ( − 10 , − 2 ) x over 5 , equals y semicolon open negative 10 comma negative 2 close

See Problem 2.

Use a table, an equation, and a graph to represent each relationship.

17. Ty is 3 years younger than Bea.
18. The number of checkers is 24 times the number of checkerboards.
19. The number of triangles is 1 3 1 third  the number of sides.
20. Gavin makes $8.50 for each lawn he mows.

See Problem 3.

Use the table to draw a graph and answer the question.

21. The table shows the height in inches of stacks of tires. Extend the pattern. What is the height of a stack of 7 tires?

    Stacks of Tires

    Number of Tires, x	Height of Stack, y
    1	8
    2	16
    3	24
    4	32

22. The table shows the length in centimeters of a scarf you are knitting. Suppose the pattern continues. How long is the scarf after 8 days?

    Knitted Scarf

    Number of Days, x	Length of Scarf, y
    1	12.5
    2	14.5
    3	16.5
    4	18.5

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