warm-up 8/26/13 add, subtract, or multiply, then simplify. 1. 2. 3

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WARM-UP 8/26/13 1. 2. 3. Add, subtract, or multiply, then simplify.

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Honors Warm-up 8/26/13 Write an expression for the perimeter of the figure at the right. What is the simplified version of this expression? 2.

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Page 1: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

WARM-UP 8/26/13

1.

2.

3.

Add, subtract, or multiply, then simplify.

Page 2: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

HONORS WARM-UP 8/26/131. Write an expression for the

perimeter of the figure at the right. What is the simplified version of this expression?

2.

Page 3: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

POLYNOMIAL WORD PROBLEMSGoal:Use polynomials to represent real-life situations.

Page 4: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

WORD PROBLEMS Decide if the problem involves addition,

subtraction or multiplication.

If polynomials are given: add, subtract or multiply like normal.

If polynomials are not given: use a formula. Area = length times width Perimeter = add all sides

Page 5: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

WORD PROBLEM #1From 1991 through 1998, the number of

commercial C and education E Internet websites can be modeled by the following equations, where t is the number of years since 1991.

C = 0.321t2 – 1.036t + 0.698E = 0.099t2 – 0.120t + 0.295

Find a model for the total number of commercial and education sites.

T = 0.42t2 – 1.156t + 0.993

Page 6: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

WORD PROBLEM #2From 1890 through 1990, the number of men

M and women W in the US labor force can be modeled by the following equations, where t is the number of years since 1890.

M = 0.0016t2 + 0.315t + 19.467W = 0.007t2 – 0.228t + 5.908

Find a model for the total number of people in the US labor force.

T = 0.0086t2 + 0.087t + 25.375

Page 7: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

WORD PROBLEM #3A triangle has 3 sides with lengths 8x + 6, 5x –

5, and -6x + 12. What is the perimeter of the triangle?

7x + 13

Page 8: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

WORD PROBLEM #4The dimensions of a window are 3x + 10 and

2x + 6. What is the area of the window?

6x2 +38x + 60

Page 9: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

WORD PROBLEM #5Find the area of the figure below.

15

x

x

4

Page 10: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

WORD PROBLEM #6Find the area of the figure below.

2x2 + 14x + 24

8 2x

x

3

Page 11: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

WORD PROBLEM #7Find the area of the blue region.

6x2 + 11x + 42

3x

6

2x

7

Page 12: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

WORD PROBLEM #8The cost of a video game can be modeled by

the equation C = 3x + 2. The number of games sold can be modeled by the equation N = 8x – 7. Write a model for the revenue from the sale of the games.

R = 24x2 – 5x – 14

Page 13: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

PRACTICE Worksheet – “Polynomial Word Problems”

Page 14: Warm-up 8/26/13 Add, subtract, or multiply, then simplify. 1. 2. 3

HOMEWORK Page 581 #65, 67 Page 588 #54, 56, 58