1.5 Notes Alg1.notebook September 10, 2012
Simplify.1. 4x 10x 2. –7(x – 3)
3. 4. 15 – (x – 2)
Solve.
5. 3x + 2 = 8 6.
15 Solving Equations with Variables on Both Sides
1.5 Notes Alg1.notebook September 10, 2012
1.5 Solving Equations with Variables on Both Sides
Solving equations in one variable that contain variable terms on both sides.
For Example...
1) 7n – 2 = 5n + 6. 2) 4b + 2 = 3b.
3) 0.5 + 0.3y = 0.7y – 0.3
I. Solving Both Sides
1.5 Notes Alg1.notebook September 10, 2012
4) 4 – 6a + 4a = –1 – 5(7 – 2 a)
II. Solving Harder "Both Sides"
5. 6. 3x + 15 – 9 = 2(x + 2)
Solve
1.5 Notes Alg1.notebook September 10, 2012
Move variables first to avoid confusion!
3x + 7 = 3x + 7
versus 3x + 7 = 3x + 7
1.5 Notes Alg1.notebook September 10, 2012
7) Solve 10 – 5x + 1 = 7x + 11 – 12x.
III. Solving Infinite and No Solutions
8) Solve 60 + 3x = 10 + 3(x 1)
1.5 Notes Alg1.notebook September 10, 2012
8) Solve 12x – 3 + x = 5x – 4 + 8x.
9) Solve 4y + 7 – y = 10 + 3y.
10) Solve 2c + 7 + c = –14 + 3c + 21.
Jon and Sara are planting tulip bulbs. Jon has planted 60 bulbs and is planting at a rate of 44 bulbs per hour. Sara has planted 96 bulbs and is planting at a rate of 32 bulbs per hour. In how many hours will Jon and Sara have planted the same number of bulbs? How many bulbs will that be?
Expression for Jon:
Expression for Sara:
SET EQUAL
IV. Application
1.5 Notes Alg1.notebook September 10, 2012
Check!
Four times Greg's age, decreased by 3 is equal to 3 times Greg's age increased by 7. How old is Greg?
11.
Let g represent Greg's age, and write expressions for his age.
1.5 Notes Alg1.notebook September 10, 2012
1.5 Lesson Quiz
1. 7x + 2 = 5x + 8 Solve each equation.
2. 4(2x – 5) = 5x + 4
3. 6 – 7(a + 1) = –3(2 – a)
4. 4(3x + 1) – 7x = 6 + 5x – 2
5.
A painting company charges $250 base plus $16 per hour. Another painting company charges $210 base plus $18 per hour. How long is a job for which the two companies costs are the same?
6.
1.5 Notes Alg1.notebook September 10, 2012
1.5 Page 43, #1535, 3751 odd, 5263, 6669