7th Grade Math

Chapter Study Guide and Review 117

Multi-Part Lesson Review

Integers and the Coordinate Plane

Integers and Absolute Value (Lesson 1B)

Write an integer for each situation.

10. a loss of $150


11. 350 feet above sea level


12. a loss of 8 yards


13. JUICE Mavis drank 48 milliliters of apple
    juice before replacing the carton in the
    refrigerator. Write an integer that shows
    the change in the volume of juice in
    the carton.

Evaluate each expression.

14. ⎪ 100 ⎥


15. ⎪- 32 ⎥


16. ⎪- 16 ⎥ + ⎪ 9 ⎥


17. ⎪ 7 + 12 ⎥ + ⎪- 14 ⎥


18. PLANETS The average temperature
    of Saturn is 218°F below zero. What
    is the absolute value of the integer
    that represents this temperature?

EXAMPLE 1 Write an integer for an

altitude of 8 feet.

Since this situation represents an elevation

above the ground, 8 represents the situation.

EXAMPLE 2 Write an integer for a loss

of 5 pounds.

This situation represents a decrease in

weight, so -5 represents this situation.

EXAMPLE 3 Evaluate ⎪- 10 ⎥.

On the number line, the graph of -10 is

10 units from 0.

10 units

• 10 - 9 - 8 - 7 - 6 - 5 - 4 - 3 - 2 - 10
  So, ⎪- 10 ⎥ = 10.

The Coordinate Plane (Lesson 1C)

Graph and label each point on a coordinate

plane.

19. F(1, -4) 20. G(-4, 2)


20. H(-2, -3) 22. I(4, 0)


21. ROUTES Starting at the school, Pilar
    walked 1 block east and 3 blocks south.
    From there, she walked 5 blocks west
    and 4 blocks north to the park. If the
    school represents the origin, what is the
    ordered pair for the park?

EXAMPLE 4 Graph and label the point

S(3, -1).

Draw a coordinate y

x

S( 3 , - 1 )

O

plane. Move 3 units

to the right. Then

move 1 unit down.

Draw a dot and

label it S(3, -1).

Lesson 1

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