Algebra Unit 1 Review

Factor by GCF

100

Factor by GCF: 9x + 36

9(x+4)

200

Factor by GCF: 30x² +24

6(5x²+4)

300

Factor by GCF: 63x¹² - 35x⁶

7x⁶(9x⁶ -5)

400

Factor by GCF: 9x⁶ -63x³ -90x²

9x²(x⁴ - 7x - 10)

500

Factor by GCF: -3k³ + 15k² -6k

3k(-k² +5k -2) OR -3k(k² - 5k +2)

Combine Like Terms

100

In order to be like terms, they must have the same ________ and _________.

Variable and exponent

200

Combine like terms: -12c + 6c - 4c

-10c

300

Combine like terms:

9x³ - 7x² + 4x² - x + 4x³ + 3x²

13x³ - x

400

Combine like terms: 

5xy² + 10 - 3yx² + 2xy² - 8x²y

7xy² - 11x²y + 10

500

Combine like terms: 

4(2x² + 8x) -2(3x - 9) +5x²

13x² + 26x +18

Distributing

100

2(x+4)

2x+8

200

6(4x-10)

24x-60

300

-7(-x²+6)

7x²-42

400

3x(9x+7)

27x²+21x

500

9(4x²-3x+2) +7x

36x²-20x+18

Polynomials

100

What is the degree of the polynomial: 3x²+4x-8x⁴+9

Degree is 4

200

What is the leading coefficient of the following polynomial: 4x³+2x-7x⁵

Leading coefficient: -7

300

Write the polynomial in standard form:

8x + 5x² - 10 +9x³

9x³+5x²+ 8x-10

400

Classify the polynomial by degree and number of terms:

7x² +2x -5

Cubic Trinomial

500

Subtract:

(8x³+2x²)-(14x³-10x²+9)

-6x³+12x²-9

Exponents

100

Write 7⁶ in expanded form as repeated multiplication

7*7*7*7*7*7

200

Write (-8x²)³ as an extended product.

8*x*x*8*x*x*8*x*x

300

Simplify: 2x⁹ * 7x⁷

14x¹⁶

400

Simplify: (4x⁵)³

64x¹⁵

500

Simplify: (2x⁵y⁷)⁵

32x²⁵y³⁵