1.4: Rewriting Formulas and Equations Page 6 3) {–2, –1, –3/4, 9/2, 5} All: Rational; –2, –1, 5: Integer; 5: Whole, Natural 5) {–5/4, –2/3, 1, √3, 2} √3: Irrational; –5/4, –2/3, 1, 2: Rational; 1, 2: Whole, Natural, Int 7) {–1, –0.4, 0, 3/2, √10} √10: Irrational; –1, –0.4, 0, 3/2: Rational; –1: Integer; 0: Whole 9) B 11) Associative Property of + 13) Communicative Property of x 15) Distributive Property 49) Always 51) Sometimes 53) 2/23/2019 1:48 AM 1.4: Rewriting Formulas and Equations

1.4: Rewriting Formulas and Equations Page 21 3) {3} 7) {6} 11) {4} 15) {18} 19) B 21) {1} 23) 25) {–7} 27) {–4/3} 29) 31) {–8/3} 33) 37) {–2} 41) 3/7 should be multiplied by 7/3 45) {60} 49) {5/3} 63) {Ø} 64) {All Reals} 65) 66) 2/23/2019 1:48 AM 1.4: Rewriting Formulas and Equations

Rewrite Formulas and Equations Section 1.4 2/23/2019 1:48 AM 1.4: Rewriting Formulas and Equations

1.4: Rewriting Formulas and Equations Literal Equations A literal equation is an equation that has more than one variable Literal in Latin means “letter.” Solve for the missing variable and substitute 2/23/2019 1:48 AM 1.4: Rewriting Formulas and Equations

1.4: Rewriting Formulas and Equations Steps Move the term and variables onto one side Isolate the variable Simplify Check 2/23/2019 1:48 AM 1.4: Rewriting Formulas and Equations

1.4: Rewriting Formulas and Equations Example 1 Solve the formula d = rt for t. Then, find the time it takes to travel 312 miles at an average rate of 48 miles per hour. 2/23/2019 1:48 AM 1.4: Rewriting Formulas and Equations

1.4: Rewriting Formulas and Equations Example 2 Solve the formula P = 2l + 2w for w. Then, find the width of a rectangle with a length of 12 meters and perimeter of 41 meters. 2/23/2019 1:48 AM 1.4: Rewriting Formulas and Equations

1.4: Rewriting Formulas and Equations Your Turn Using this formula given, V = 1/3πr2h, solve for h. Then, find the height if the volume is 900 cubic inches3 and the radius is 3 inches. Leave answers in π. 2/23/2019 1:48 AM 1.4: Rewriting Formulas and Equations

1.4: Rewriting Formulas and Equations Example 3 Solve 2y + xy = 6 for y. 2/23/2019 1:48 AM 1.4: Rewriting Formulas and Equations

1.4: Rewriting Formulas and Equations Example 4 Solve 2xy – x = 3 for y. 2/23/2019 1:48 AM 1.4: Rewriting Formulas and Equations

1.4: Rewriting Formulas and Equations Your Turn Solve 4x + 7y + 5xy = 0, x = 1 for y. 2/23/2019 1:48 AM 1.4: Rewriting Formulas and Equations

1.4: Rewriting Formulas and Equations Example 5 The HSPVA School Store is selling spirit shirts for $15 each and sweatshirts for $22 each. Write an equation for the bookstore’s revenue R from selling m t-shirts and n sweatshirts. Then, write an equation for m and figure out how many t-shirts can be bought if the Revenue totals $274 for the day and the amount of sweatshirts bought was 7. 2/23/2019 1:48 AM 1.4: Rewriting Formulas and Equations

1.4: Rewriting Formulas and Equations Assignment Pg 30: 3-31 odd (omit 27) 2/23/2019 1:48 AM 1.4: Rewriting Formulas and Equations