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Learn to rewrite equations without numbers, only letters, for better solving; practice solving literal equations & finding rates.
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Homework for 3-8 p.187 2, 5, 10, 11, 15, 18, 20, 26, 27, 32, 34
3-8 Rewrite Equations & Formulas Objective: rewrite equations and formulas, solve for variables.
Colby says, “A literal equation is an equation in which there are no numbers, only letters.”
Literal Equations • 2x + 5 = 11 and 6x + 3 = 15 have the general form ax + b = c. • ax + b = c is a literal equation. • Solving a literal equation can sometimes make solving an equation of the same form easier. • Tip: Circle the letter(or variable) that you are solving for.
Practice • Solve p + qx for x. x = (r-p)/q • Now solve 3 + 5x = -7 x = -2 • Write -2x + 3y = 6 so that y is a function of x. y = (2/3)x + 2
For a rectangle, A = lw. Solve the formula for the length. L = A / w Use the rewritten formula to find the length of this rectangle. L= 27cm. A = 351 cm2 13 cm.
Irina deposited $650 in a savings account. After two years her account balance was $682.50. Find the rate of interest for the two years. Use the formula A = P(1 + rt), where A is the account balance, P is principal, r is rate, and t is time. Rewrite the formula to isolate r and then solve. r = (A – P)/ Pt r = 2.5%