Warm-up Jan. 27

HW: Finish midterm review packet & study.Midterm is tomorrow!

1. 2. What are the zeros of the polynomial defined by the function y = x2 – 16x + 28?

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T 4. One root of the equation 2x2 = x + 15

2x2 – x – 15 = 0 (2x + 5)(x – 3) = 02x + 5 = 0 x = 3 -5 -5 2x = -5 2 2

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a 12. Justin’s part-time job pays him $155 a week. If he has already saved $375, what is the minimum number of weeks he needs to work in order to have enough money to buy a dirt bike for $900? 1) 8 2) 9 3) 3 4) 4

155x + 375 ≥ 900 -375 -375 155x ≥ 625 155 155 x ≥ 4.03

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6x3 – 2x2 – 4x2x(3x2 – x – 2)2x(3x + 2)(x – 1)

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x y

2 -3

5 1+3 +4

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3(2x) + 5 = 7x – 2 6x + 5 = 7x – 2 -6x -6x 5 = x – 2 +2 +2 7 = x

a 21. The solution set of the equation |2x – 1| + 4 = 8

|2x – 1| + 4 = 8 -4 -4 |2x – 1| = 4

4 = -(2x – 1) 2x – 1 = 44 = -2x + 1 +1 +1-1 -1 2x = 5 3 = -2x 2 2 -2 -2

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  (7x – 42)

(4x + 21)

27. In the diagram on the right, line l and line m are parallel. Solve for x. What is the measure of the angle represented by 7x – 42?

4x + 21 = 7x – 42 -4x -4x 21 = 3x – 42 +42 +42 63 = 3x 3 3 21 = x

7(21) – 42147 – 42 105

e 28. Find two consecutive negative integers such that the product is 42.

Let 1st CNI = x 2nd CNI = x + 1

x(x + 1) = 42x2 + x = 42 -42 -42x2 + x – 42 = 0(x + 7)(x – 6) = 0x = -7 x = 6

reject

= -7= -6

Team

33. J.Crew is having their winter sale on all items in the store. The winter sale is 35% off the original price. If a customer has a J.Crew credit card, then they get an additional 10% off the sale price. A lambswool cable crewneck sweater sells for $98.00, how much will a J.Crew cardholder customer saved over a regular customer? Include a sales tax of 8.625%.

Discount = 0.35(98) = 34.30

Sale price w/discount = 98.00 -34.30 63.70

Tax = 0.08625(63.70) = 5.49

Total w/tax = 5.49 +63.70 $69.19

Additional 10% = 0.10(63.70) = 6.37

Sale price w/10% = 63.70 additional -6.37 57.33

w/tax = 0.08625(57.33) = 4.94

Total = 62.27

69.19 – 62.27 = 6.92

A jcrew cardholder saves by $6.92

Work

29. The larger of two positive integers is five more than twice the smaller integer. The product of the integers is 52. Find the larger integer.

Let 1st PI = x 2nd PI = 2x + 5

x(2x + 5) = 522x2 + 5x = 52 -52 -522x2 + 5x – 52 = 0(2x )(x ) = 0

Is 30. Ashley has $1.35 in nickels and dimes in her purse. In all there are 15 coins. How many coins of each kind are there?

type Value in cents

amount total

nickel 5 x = 5x

dime 10 15 – x = 10(15 – x)

5x + 10(15 – x) = 1355x + 150 – 10x = 135 -5x + 150 = 135 -150 -150 -5x = -15 -5 -5 x = 3

Answer:3 nickels12 dimes

Awesome

32. The cost of 3 markers and 2 pencils is $1.80. The cost of 4 markers and 6 pencils is $2.90. What is the cost of each item? Include appropriate units in your answer.

Let x = $ marker y = $ pencil

-3(3x + 2y) = 1.80 -9x – 6y = -5.40 4x + 6y = 2.90 4x + 6y = 2.90 -5x = -2.50 -5 -5 x = 0.50

4(0.5) + 6y = 2.90 2 + 6y = 2.90 -2 -2 6y = 0.9 6 6 y = 0.15

= $0.50= $0.15