Unit 1 Review

Adding/Subtracting Polynomials

100

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

200

(2r² - 5r + 7) + (3r³ - 6r)

3r³ + 2r² -11r + 7

300

(4x² + 2x) + (x² + 6x)

5x² +8x

400

(2x² + 5x - 3) - (3x³ + 2x - 5)

-3x³ + 2x² +3x + 2

500

(4 - x - 2x²) - (-2 + 3x - x³)

x³ - 2x² - 4x + 6

Multiplying Polynomials

100

(4m + 2)(4m + 5)

16m² + 28m + 10

200

(x²yz)(x²y⁴)

x⁴y⁵z

300

3x²(2x - 4)

6x³ - 12x²

400

(x⁴+3x)(2x² - 4x +8)

2x⁶ - 4x⁵ +8x⁴+6x³ -12x² 24x

500

(2x³y⁴)(5xy)

What is 10x⁴y⁵?

Dividing Polynomials

100

(3x²+7x-20) / (x+4)

3x-5

200

2x³-3x²-18x-8) / (x-4)

2x²+5x+2

300

(x²-7x+10)/ (x+3)

x-10 + 40/(x+3)

400

(x³+27) / (x+3)

x²-3x+9

500

Is x +3 a factor of x³+7x²+10x 

no. there is a remainder when division is performed.

Equation and Inequality Grab Bag

100

4x + 9 = 33

x = 6

200

x + 3x > -8

x > -2

300

−12(x − 12) = −9(1 + 7x)

x = -3

400

−3(1 + 6r) = 14 − r

r = -1

500

−11 + 10( p + 10) = 4 − 5(2p + 11)

p = -7

Word Problems

100

WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.

200

Mr. Coleman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Coleman buy?

n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99

300

Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?

a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.

400

Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?

r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87

500

When you count by ones fron many integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?

n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.