= 31 = – 31 Find the difference. EXAMPLE 1 Subtract real numbers a. – 12 – 19 b. 18 – (–7) = – 12 + ( – 19) = 18 + 7.

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Presentation transcript:

= 31 = – 31 Find the difference. EXAMPLE 1 Subtract real numbers a. – 12 – 19 b. 18 – (–7) = – 12 + ( – 19) =

GUIDED PRACTICE for Example 1 = – 9 Find the difference. 1. – 2 – 7 = – (– 5) 1 3 – – 1 6 =

EXAMPLE 2 Evaluate a variable expression Substitute – 2 for x and 7.2 for y. Add the opposite – 2. = Evaluate the expression y – x when x = – 2 and y = 7.2. y – x = 7.2 – (–2) = 16 Add.

One of the most extreme temperature changes in United States history occurred in Fairfield, Montana, on December 24, At noon, the temperature was 63°F. By midnight, the temperature fell to – 21°F. What was the change in temperature ? SOLUTION The change C in temperature is the difference of the temperature m at midnight and the temperature n at noon. EXAMPLE 3 Evaluate Change Temperature

Substitute values. Add the opposite of 63. = – 21 – 63 Write equation. Find the change in temperature. Write a verbal model. Then write an equation. STEP 1 STEP 2 = – 84 Add – 21 and – 63. Evaluate Change EXAMPLE 3 C mn =– C m – n = = – 21 + (– 63)

The change in temperature was – 84°F. ANSWER EXAMPLE 3 Evaluate Change

GUIDED PRACTICE for Example 2 and 3 Evaluate the expression when x = – 3 and y = x – y + 8 = – 0.2= – y – (x – 2) = (y – 4) – x = 4.2= 4.2 A new car is valued at $15,000. One year later, the car is valued at $12,300. What is the change in value of car ? 7. Car values – $2700 ANSWER