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EXAMPLE Warm-Up1Exercises Solve a literal equation Solve ax + b = c for x. Then use the solution to solve 2x + 5 = 11. SOLUTION STEP 1 Solve ax + b = c for x. ax + b = c ax = c – b c–b x= a Write original equation. Subtract b from each side. Assume a 0. Divide each side by a. Warm-Up Exercises GUIDED PRACTICE for Example 1 Solve the literal equation for x. Then use the solution to solve the specific equation 1. a – bx = c; 12 – 5x = –3 Warm-Up Exercises GUIDED PRACTICE for Example 1 Solve the literal equation for x. Then use the solution to solve the specific equation 2. ax = bx + c; 11x = 6x + 20 Warm-Up2Exercises EXAMPLE Rewrite an equation Write 3x + 2y = 8 so that y is a function of x. 3x + 2y = 8 2y = 8 – 3x y = 4 – 3x 2 Write original equation. Subtract 3x from each side. Divide each side by 2. Warm-Up Exercises GUIDED PRACTICE 3. Write 5x + 4y = 20 so that y is a function of x. Warm-Up Exercises Warm-Up Exercises GUIDED PRACTICE 4. 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. Warm-Up3Exercises EXAMPLE Solve and use a geometric formula 1 The area A of a triangle is given by the formula A = bh 2 where b is the base and h is the height. a. Solve the formula for the height h. b. Use the rewritten formula to find the height of the triangle shown, which has an area of 64.4 square meters. Warm-Up4Exercises EXAMPLE Solve a multi-step problem Temperature You are visiting Toronto, Canada, over the weekend. A website gives the forecast shown. Find the low temperatures for Saturday and Sunday in degrees 5 Fahrenheit. Use the formula C = (F – 32) where C is 9 the temperature in degrees Celsius and F is the temperature in degrees Fahrenheit. Warm-Up4Exercises EXAMPLE Solve a multi-step problem 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. 5 C = 9 (F – 32) Write original formula. 9 5 9 C = · (F – 32) 5 9 5 9 C = F – 32 5 9 C + 32 = F 5 9 Multiply each side by , the 5 reciprocal of 5 . 9 Simplify. Add 32 to each side. Warm-Up Exercises 1. Write the equation 15 = 5y – 4x so that y is a function of x. 2. Solve C = 2pr for r. 3. Solve V = 1 Bh for B. 3