Page 182 - Algebra 1

Lesson Practice
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Solvefory: _3y=4_7. *2. Solveforp: 3p-4-6=2(p-5). 4 8 (28)
Formulate You have $3 in bills and a certain number of nickels in one pocket. In the other pocket you have $2 in bills and a certain number of dimes. You have the same number of dimes as nickels and the same amount of money in each pocket. Write an equation to find the number of dimes and nickels you have.
Error Analysis Two students used the Distributive Property to solve the same multi-step equation. Which student is correct? Explain the error.
Solve each equation. Justify each step. Check the solution. a. 6x=3x+27
(Ex 1)
b. 2+3(3x-6)=5(x-3)+15 (Ex 2)
Solve each equation. Justify each step. If the equation is an identity, write identity. If the equation has no solution, write no solution.
(Ex 3)
c. 2(x+3)=3(2x+2)-4x
d. 3(x+4)=2(x+5)+x
e. MembershipRates Afitnesscenterhasamembershipfeeof$125.
(Ex 4)
Members only pay $5 per day to work out at the center. A nonmember pays $10 per day to work out. After how many work-out days is the total cost for members, including the membership fee, the same as the total cost for nonmembers?
Practice
Distributed and Integrated
Student A
4x - 2(12 - x) = 18 4x - 24 - x = 18 3x - 24 = 18 3x = 42 x = 14
Student B
4x - 2(12 - x) = 18 4x - 24 + 2x = 18 6x - 24 = 18 6x = 42
x=7
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Wages A worker at one farm is paid $486 for the week, plus $0.03 for every pound of apples she picks. At another farm, a worker is paid $490 for the week, plus $0.02 for every pound of apples. For how many pounds of apples are the workers paid the same amount?
Multiple Choice What is the value of x when (x + 15)_1 = 2x - 1? 3
A 18 B 5 C 18 D 7 ____
5 18 7 18
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