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Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = - 3x + 10x 3. 4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are on sale for 40% off of the regular price. What is the sale price of the clubs? 16 8 4 10 c

Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

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Page 1: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Warm-Up1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x

3. 4. 145 secs= ? mins

5. What percent of 99 is 72?

6. A set of golf clubs that costs $600 are on sale for 40% off of the regular price. What is the sale price of the clubs?

16

8

4

10 c

Page 2: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Warm-Up Work

Page 3: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Literal EquationsSeptember 16

Page 4: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

A literalequation is an equation where the variable is solved in terms of at least one different variable.

Mathformulas are examples of literal equations.

Page 5: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Can you recall a math formula from prior learning?

Remember a math formula is an example of a literal equation.

Area Formulas Perimeter or Circumference Formulas

Page 6: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

A literal equation is solved in the same manner as any equation. You must apply the properties of equality.

This means that you must perform the same operation on both sides of the equation!!!!

Whatever is performed on one side of an equation MUST BE performed on the other side of the equation.

Page 7: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

ExamplesSolve for x.1. x + y = z

2. x – 2w = 13

Page 8: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

You TrySolve for c.1. 4a + c = b

2. C – 2b = 5a

Page 9: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

ExamplesSolve for x.1. 2x = y

2. = 2z2

x

Page 10: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Multi-step Literal Equations

Solve the following for y. 3z + x = 2y – 4

Solve the following for w. m= wx + y

Page 11: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Formula Examples1. A = ½ BH ; solve for B

2. V = /3 R2H ; solve for H

Page 12: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

You Try1. P = 2w + 2l ; solve for w

2. C = 2πr, solve for r

Page 13: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Simple Interest

Formula:

I = Prt

Page 14: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Example #1:If you invest $50 at a simple interest

rate of 3.5% per year for 3 years, how much interest will you earn?

Page 15: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Example #2:You deposited $125 in a savings account

that earns a simple interest rate of 1.75% per year. You earned a total of $8.75 in interest. For how long was your money in the account?

Page 16: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

You Do:You deposited $840 in a savings account

that earns a simple interest rate of 4.5% per year. You want to keep the money in the account for 4 years. How much interest will you earn?

Page 17: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

THINK/PAIR/SHARECompare and contrast equations and

literal equations. How are they similar? How are they different?THINK silently for 30 secondsPAIR discuss with your partner for 30

secondsSHARE with the class

Page 18: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Relay!The person at the front of the row should copy the

problem onto their whiteboard and start solving the problem for the given variable.

Once that person completes the first step, they should pass the whiteboard behind them to their next teammate.

That teammate should first check the work that has been done. If you have a question about the work, discuss with your teammate in front of you. Then continue with the second step toward solving the equation.

Repeat until the equation is solved for the given variable. Hold up your board when you think you have finished solving the literal equation.

Page 19: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Relay!Your team will earn points for correctly

solving the literal equation first (3pts), second (2pts), or third (1pt).

The team with the most points at the end of the relay races will win a PRIZE!

QUESTIONS?

Page 20: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Relay Race #13x – 4y = 7, for x.

Page 21: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Relay Race #24b – 5 = -t, for b.

Page 22: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Relay Race #3y = mx + b, for m.

Page 23: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Relay Race #4½y + a = b, for y.

Page 24: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Relay Race #5

𝑦+𝑎3

=𝑐 , 𝑓𝑜𝑟 𝑦

Page 25: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Relay Race #6

I = prt, for r.

Page 26: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Relay Race #7

5𝑥+7𝑎

=2 , 𝑓𝑜𝑟 𝑎

Page 27: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Relay Race #8p(t + 1) = -2, for t.

Page 28: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

HomeworkWorkbook: p. 55 # 9 – 14 Workbook p. 56 # 23, 24, 27

Page 29: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Ticket OutSolve the following problems with your partner.

You only need to turn in one sheet of paper, but make sure that both of your names are on it.Solve V=IR, for R.

Solve p = 4 + at, for a.

Erma has $175,000 in a retirement account that earns simple interest at a rateof 9% per year. How much interest will the money have earned after 25 years?

Page 30: Warm-Up 1. -15 = 5(3q – 10) – 5q 2. 5x + 2x – 3 = -3x + 10x 3.4. 145 secs= ? mins 5. What percent of 99 is 72? 6. A set of golf clubs that costs $600 are

Quiz ReturnAs I give the quizzes back to you, look at the

ones you missed. We will go over some of the trickier ones so you can ACE your test on Wednesday!