warm-up exercises subtract b from each side. write original equation. solve ax + b = c for x. step 1...

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Warm-Up Exercises Subtract b from each side. Write original equation. Solve ax + b = c for x. STEP 1 SOLUTION Solve ax + b = c for x. Then use the solution to solve 2x + 5 = 11. Solve a literal equation EXAMPLE 1 x c – b a = ax + b = c ax = c – b Assume a 0. Divide each side by a.

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Page 1: Warm-Up Exercises Subtract b from each side. Write original equation. Solve ax + b = c for x. STEP 1 SOLUTION Solve ax + b = c for x. Then use the solution

Warm-Up Exercises

Subtract b from each side.

Write original equation.

Solve ax + b = c for x.STEP 1

SOLUTION

Solve ax + b = c for x. Then use the solution to solve 2x + 5 = 11.

Solve a literal equationEXAMPLE 1

xc – b

a=

ax + b = c

ax = c – b

Assume a 0. Divide each side by a.

Page 2: Warm-Up Exercises Subtract b from each side. Write original equation. Solve ax + b = c for x. STEP 1 SOLUTION Solve ax + b = c for x. Then use the solution

Warm-Up ExercisesGUIDED PRACTICE for Example 1

1. a – bx = c; 12 – 5x = –3

Solve the literal equation for x. Then use the solution to solve the specific equation

Page 3: Warm-Up Exercises Subtract b from each side. Write original equation. Solve ax + b = c for x. STEP 1 SOLUTION Solve ax + b = c for x. Then use the solution

Warm-Up ExercisesGUIDED PRACTICE for Example 1

2. ax = bx + c; 11x = 6x + 20

Solve the literal equation for x. Then use the solution to solve the specific equation

Page 4: Warm-Up Exercises Subtract b from each side. Write original equation. Solve ax + b = c for x. STEP 1 SOLUTION Solve ax + b = c for x. Then use the solution

Warm-Up Exercises

Divide each side by 2.

Write original equation.

Write 3x + 2y = 8 so that y is a function of x.

EXAMPLE 2 Rewrite an equation

Subtract 3x from each side.

3x + 2y = 8

2y = 8 – 3x

32

y = 4 – x

Page 5: Warm-Up Exercises Subtract b from each side. Write original equation. Solve ax + b = c for x. STEP 1 SOLUTION Solve ax + b = c for x. Then use the solution

Warm-Up ExercisesGUIDED PRACTICE

3. Write 5x + 4y = 20 so that y is a function of x.

Page 6: Warm-Up Exercises Subtract b from each side. Write original equation. Solve ax + b = c for x. STEP 1 SOLUTION Solve ax + b = c for x. Then use the solution

Warm-Up Exercises

Page 7: Warm-Up Exercises Subtract b from each side. Write original equation. Solve ax + b = c for x. STEP 1 SOLUTION Solve ax + b = c for x. Then use the solution

Warm-Up ExercisesGUIDED PRACTICE for Examples 2 and 3

The perimeter P of a rectangle is given by the formula P = 2l + 2w where l is the length and w is the width.

a. Solve the formula for the width w.

4 .

Page 8: Warm-Up Exercises Subtract b from each side. Write original equation. Solve ax + b = c for x. STEP 1 SOLUTION Solve ax + b = c for x. Then use the solution

Warm-Up Exercises

Use the rewritten formula to find the height of the triangle shown, which has an area of 64.4 square meters.

b.

Solve the formula for the height h.a.

EXAMPLE 3 Solve and use a geometric formula

The area A of a triangle is given by the formula A = bh where b is the base and h is the height.

12

Page 9: Warm-Up Exercises Subtract b from each side. Write original equation. Solve ax + b = c for x. STEP 1 SOLUTION Solve ax + b = c for x. Then use the solution

Warm-Up ExercisesEXAMPLE 4 Solve a multi-step problem

You are visiting Toronto, Canada, over the weekend. A website gives the forecast shown. Find the low temperatures for Saturday and Sunday in degrees Fahrenheit. Use the formula C = (F – 32) where C is the temperature in degrees Celsius and F is the temperature in degrees Fahrenheit.

59

Temperature

Page 10: Warm-Up Exercises Subtract b from each side. Write original equation. Solve ax + b = c for x. STEP 1 SOLUTION Solve ax + b = c for x. Then use the solution

Warm-Up Exercises

Simplify.

Write original formula.

EXAMPLE 4 Solve a multi-step problem

Multiply each side by , the reciprocal of .

9

55

9

Add 32 to each side.

SOLUTION

STEP 1 Rewrite the formula. In the problem, degrees Celsius are given and degrees Fahrenheit need to be calculated. The calculations will be easier if the formula is written so that F is a function of C.

(F – 32)59C =

F – 32C95

=

95C + 32 =F

· (F – 32)95

59C9

5=

Page 11: Warm-Up Exercises Subtract b from each side. Write original equation. Solve ax + b = c for x. STEP 1 SOLUTION Solve ax + b = c for x. Then use the solution

Warm-Up Exercises

1. Write the equation 15 = 5y – 4x so that y is a function of x.

2. Solve C = 2r for r.

3. Solve V = Bh for B.13

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