Algebra Ch 5 (5.3, 5.4, 5.5, 5.6) Review

Multiplying Monomials

100

What rule is used when multiplying monomials?

Multiply the coefficients, and add the exponents of like termed variables.

200

Solve: (x⁴)(x³)

x⁷

300

Solve: (6n²)(4n⁸)

24n¹⁰

400

Solve: (3x⁵)(-6x⁴y²)

-18x⁹y²

500

Solve: (-a⁴b³)(a²bc⁵)

-a⁶b⁴c⁵

Powers of Monomials

100

What rule is used when working with powers of a monomial/ powers to a power?

The exponent outside the parentheses is shared with all of the numbers and variable INSIDE the parenthesis. When sharing an exponent with an exponent, you multiply the two numbers.

200

In 5^3,  5 is used as a factor _____ times.

3 times

300

Solve: (c²)⁶

c¹²

400

Solve: (4n²)²

16n⁴

500

Solve: 4(2xy³)³

32x³y⁹

Polynomials Times Monomials

100

A monomials times a polynomial is similar to using what property of numbers?

The distributive property

200

Solve: -4(a+7)

-4a-28

300

Solve: 2n(3n+y)

6n²+2ny

400

Solve: 3x²(x²-4x+1)

3x⁴-12x³+3x²

500

Solve: xy(6x²y⁴-2x+x³y)

6x³y⁵-2x²y+x⁴y²

Multiplying Binomials

100

What method is used when multiplying binomials?

FOIL

200

Solve: (x+3)(x-5)

x²-2x-15

300

Solve: (2x+4)(5x+1)

10x²+22x+4

400

Solve: (x+y)(x+y)

x²+2xy+y²

500

Solve: (2a+b)(2ac+b)

4a²c+2ab+2abc+b²

Multiplying Polynomials

100

What method is used when multiplying polynomials? (Ex: binomial x trinomial)(Ex: trinomial x polynomial)

The box method

200

Solve: (n+2)(n²+4n+3)

n³+6n²+11n+6

300

Solve: (m-2)(m²+5m-3)

m³+3m²-13m+6

400

Solve: (a-b)(a³-b³)

a⁴-ab³-a³b+b⁴

500

Solve: (2a²-7a+9)(a³-3a-9)

2a⁵-7a⁴+3a³+3a²+36a-81