EOC Review - Day 3

EOC Review

Day 3 - Exponent Rules & Factoring

Exponent Rules

​Add exponents

3⁸ x¹² Multiply Coefficients

8x⁵y⁶

​POW! POW!

Multiply Now!

​

5¹² y^{33 Raise coefficients to the power}

1296x¹⁶y³²z⁴

​x⁰ = 1 1 1 1

3

​Subtract!

3⁷ y¹¹ 1/3x⁶

​NEVER LEAVE A

NEGATIVE EXPONENT 1/3⁴ 1/x⁶ 8/x⁸

Match

Match the following.

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• $$x^3\cdot x^6$$

• $$\frac{z^8}{z^4}$$

• $$\left(y^2\right)^4$$

Match

Match the following.

• $$\frac{c^7}{c^3}$$

• $$w^2\cdot w^7$$

• $$\left(m^3\right)^{-4}$$

Add the exponents

Subtract the exponents

Multiply the exponents

• Add the exponents

• Subtract the exponents

• Multiply the exponents

Multiple Choice

Simplify: $$\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$$  

• $$16a^8b^9c^9$$  

• $$8a^8b^9c^9$$  

• $$8a^6b^5c^6$$  

• $$16a^5b^5c^6$$  

Multiple Choice

Simplify: $$\frac{12x^5y^4}{2x^9y}$$  

• $$6x^{-4}y^3$$  

• $$\frac{6y^3}{x^4}$$  

• $$\frac{12y^3}{2x^4}$$  

• $$\frac{6x^{-4}}{y^3}$$  

Multiple Choice

Simplify: $$\left(3x^5\right)^6$$  

• $$18x^{30}$$  

• $$729x^{11}$$  

• $$3^6x^{30}$$  

• $$729x^{30}$$  

Multiple Choice

Simplify: $$\left(4y\right)^{-3}$$  

• $$\frac{1}{64y^3}$$  

• $$64y^{-3}$$  

• $$-12y^{-3}$$  

• $$\frac{64}{y^3}$$  

Multiple Choice

Simplify: $$\left(-x^3\right)\left(-5x\right)$$  

• $$5x^4$$  

• $$-5x^4$$  

• $$5x^3$$  

• $$-5x^3$$  

Multiple Choice

Simplify: $$\frac{k^3}{5k}$$  

• $$5k^2$$  

• $$\frac{5}{k^2}$$  

• $$\frac{k^2}{5}$$  

• $$\frac{k^4}{5}$$  

Multiple Choice

Simplify: $$\left(3k^5\right)\left(-2k^3\right)$$  

• $$6k^8$$  

• $$-6k^{15}$$  

• $$6k^{15}$$  

• $$-6k^8$$  

Simplifying Polynomials

​1. Distribute (remember to add exponents)

2. CLT (same base, same exponent)

​5a³ + 2a² - 12a

*answers are always highest exponent to

lowest exponent*

Multiple Choice

Add or Subtract to Simplify:
 (4x - 2x³) + (5x³ - 4x + 5)

• 3x³ + 5

• 3x³ + 8x + 5

• 3x² + 5

• 7x³ + 8x + 5

Multiple Choice

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Simplify:

1.

(x - 4)(x + 6)

2.

(x - 3)(x - 3)

3.

(x + 5)(x - 5)

​ 1. x² + 2x -24

2. x² -6x +9

3. x² - 25

Multiple Choice

Find the product:
(3x + 2)(2x + 4)

• 6x² + 16x + 8

• 5x² +11x + 6

• 5x² + 16x + 6

• 6x² + 11x + 8

Multiple Choice

Find the product:
(n - 5)(n - 1)

• n² - 5n + 5

• n² - 6n + 5

• n² + 5

• n² + 6n + 5

Factoring GCF:

 

​7a(2 +3a +3a²) n(10n² - 9n + 1)

​-6r⁴(r + 1)

Multiple Choice

Factor out the GCF:  2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Multiple Choice

Factor out the GCF

10x² + 15x-5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Factoring quadratics:

​(x-9)(x+2) (x-7)(x+2)

​If a is not 1, use the quadratic formula

Multiple Choice

Factor
r² -16r + 60

• (r - 15)(r + 4)

• (r - 6)(r + 10)

• (r - 6)(r - 10)

• (r +30)(r - 2)

Multiple Choice

Factor
x²+12x+35

• (x+5)(x+7)

• (x+4)(x+3)

• (x+7)(x-5)

• Prime

Multiple Choice

Factor
x² + 4x + 3

• (x - 1)(x - 3)

• (x + 1)(x + 3)

• (x - 1)(x + 3)

• (x + 1)(x - 3)