2.17 Ch4 Lesson5 Multi­StepEquations Special Cases ADVANCED.notebookOctober 29, 2018

1.) Camdyn and Ellise are saving money to go on a trip. Camdyn has $200 saved and earns $10 per week doing chores. Ellise has $250 saved and also earns $10 per week doing chores. Will the 2 girls ever have the same amount of money at the same time? If so, after how many weeks?

Chapter 4 Lesson 5Multi­Step Equations

SPECIAL CASESNumber of Solutions

Null Set One Solution IdentityNO solution ONE solution Infinitely MANY solutions

a = b x = a a = a

3x + 4 =3x

4 = 0Since 4 = 0,

there is no solution.

2x = 20

x = 10

4x + 2 = 4x + 22 = 2

One SolutionSince 2 = 2 is true, then there are infinitely many solutions that make this equation true.

Examples: SPECIAL CASES

2.) Solve. 6(x ­ 3) + 10 = 2(3x ­ 4)DCVC

istribute

ombine like terms

ariables to the left

onstants to the right

3.) Solve. 8(4 ­ 2x) = 4(3 ­ 5x) + 4xDCVC

istribute

ombine like terms

ariables to the left

onstants to the right

Now try these...

c.) 3(6 ­ 4x) = ­2(6x ­ 9) d.) 2(3x + 5) = 5(2x ­ 4)­4x

Example:

4.) At the fair, Hunter bought 3 snacks and 10 ride tickets. Each ride ticket costs $1.50 less than a snack. If he spent a total of $24.00, what was the cost of each snack?

variable:

equation:

13 h ­ 4( h ­ 3) = h ­ 62

323

5.) Solve.

6.) 4(5 + 2x) ­ 5 = 3(3x + 7)

2.17 Ch4 Lesson5 Multi­StepEquations Special Cases ADVANCED.notebookOctober 29, 2018