Pre-Algebra Unit #2 Review

Translating

100

The sum of twice a number and sixteen.

2x + 16

200

One-half of a number subtracted from thirty-five.

35 - 1/2x

300

fifteen less than the quotient of seven and a number.

7/x - 15

400

The difference of a number and twelve all multiplied by three, divided by seven

[3(x - 12)]/7

500

The product of a number squared and five added to the quotient of triple a number and eight.

5x² + 3x/8

Simplifying Expressions

100

-4(3x² - 5x - 2)

-12x² + 20x + 8

200

4x - 2x² + 7 - 9x² - 3 + 2x

-11x² + 6x + 4

300

2(3x - 1) - 4(5x - 6) + 8(6 - 3x)

-38x + 70

400

-4x -(-7 - 6x) - 3x + 2(5 - 7x)

-15x + 17

500

3x²y - 3x² - 4xy + 2x² - 6y² - 9y - 2yx² + 5xy - 7x + 3y² - 4x

x²y - x² + xy - 3y² - 11x - 9y

Factoring by GCF

100

36x - 54

18(2x - 3)

200

16x - 24y

8(2x - 3y)

300

45x² - 60x - 75

15(x²- 4x -5)

400

10x⁴ - 15x³ - 25x²

5x²(2x² - 3x - 5)

500

16x² - 28x - 40

4(4x² - 7x - 10)

Exponent Laws

100

x¹⁴ • x¹⁹

x³³

200

x⁹y⁷ • x³y^-11

x¹²/y⁴

300

(6m²n^-5)(3m^-6n²)

18/m⁴n³

400

(-2x⁵y^-3)³

-8x¹⁵/y⁹

500

(3x³y⁴)³ - 5x²y^-5 • 4x⁷y¹⁷

7x⁹y¹²

Grab Bag

100

x^-9/x^-15

x⁶

200

(4x - 2x² - 9) - (5 - 5x + 3x²)

-5x²+ 9x -14

300

3(2x-5) -(5x-2) + 7x -3(x - 1) given in factored form

5(x -2)

400

[(4x²y⁸/9x³)⁷ • 2x/5x³ - 3x]⁰

1

500

Translate and then simplify: The sum of four times a number "x" to the third a second number "y" to the seventh, and the product of the number "x" to the third and "y" to the seventh.

5x³y⁷