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`