Algebra I Unit 8 Test Review

Exponent Rules

100

(x)(3x)(5x)

15x^3

200

13x^-5y^2

(13y^2)/x^5

300

(10m^25)/(8m^15)

(5m^10)/4

400

(30n^5)/(10n^7)

3/n^2

500

-3b^4times3b^-2

-9b^2

600

x(5x^2-x+20)

5x^3-x^2+20x

Multiplying Polynomials

100

(2x-3)(4x+9)

8x^2+6x-27

200

-x^2(3x-1)

-3x^3+x^2

300

(4x-5)^2

16x^2-40x+25

400

-4(x-1)^2

-4x^2+8x-4

500

(x-1)(2x+3)(x-4)

2x^3-7x^2-7x+12

600

-5(x-1)(2x+3)

-10x^2-5x+15

Factoring

100

x^2-10x+25

(x-5)^2

200

x^2+16x+39

(x+3)(x+13)

300

x^2-29x+78

(x-3)(x-26)

400

The area of a rectangle can be calculated using the formula A=bh. If a rectangle has an area of x²-18x-63 inches², write an expression that can be used to represent the base multiplied by the height of the rectangle. (hint: factor)

(x+3)(x-21)

500

Which expression is a factor of 81a²-1?

a. 9a+1

b. 81a+1

c. a2-1

d. 9a+12

DOUBLE POINTS!!!!!

a. 9a+1

600

Which expression is equivalent to 14k² - 32k + 8? 

a. (2k - 1)(7k - 8)

b. (k + 8)(14k + 4)

c. (7k + 4)(2k - 8)

d. (14k - 4)(k - 2)

d. (14k - 4)(k - 2)

Mix

100

x^2-4

(x+2)(x-2)

200

x^2+6x+5

(x+1)(x+5)

300

Which expression is equivalent to 24c²-40c?

a. 8c(3c-5)

b. 8(3c²-5)

c. 4c(6c²-10)

d. 4(6c-15) 

DOUBLE POINTS!!!!!!

a. 8c(3c-5)

400

The expression w⁵⁵/w¹⁹ is equivalent w^a when fully simplified. What is the value of a?

36

500

Factor g²+64

Not factorable

600

4g^4(g^48)^(1/2)

4g^28