Review - Exponent Rules and Add/Subtracting Polynomials

Rule # 1: Multiplying with exponents

Rule #2: Power of zero

Rule #5: Raising a power to a power

Multiple Choice

Simplify:

$$b^3\cdot b^4\cdot b^7\cdot b$$  

• $$b^{15}$$  

• $$b^{14}$$  

• $$b^{84}$$  

• $$b^{49}$$  

Multiple Choice

Simplify:

$$7^0$$  

• 1

• 7

• 0

• 70

Multiple Choice

Simplify:

$$\left(7xy\right)^2$$  

• $$49x^2y^2$$  

• $$14x^2y^2$$  

• $$49x^3y^3$$  

• $$14x^3y^3$$  

Multiple Choice

Simplify:

$$8x^0$$  

• 8

• 1

• 0

• x

Multiple Choice

Simplify:

$$6x^5\cdot3x^5\cdot x^0$$  

• $$18x^{10}$$  

• $$9x^{10}$$  

• $$18x^{25}$$  

• $$9x^{25}$$  

Multiple Choice

Simplify:

$$\left(5x^2y^4\right)^3$$  

• $$125x^6y^{12}$$  

• $$15x^6y^{12}$$  

• $$8x^5y^7$$  

• $$15x^5y^7$$  

Adding Polynomials

Multiple Choice

Simplify:

$$\left(4+2n^3\right)+\left(5n^3+2\right)$$

• 9n³ + 4n

• 7n³ + 6

• -3n³ + 2

• 7n⁶ + 6

Multiple Choice

Simplify:

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x

• 2x³+6x²+9x

• -2x³-6x²+9x

• 2x³-6x²+9x

Multiple Choice

Simplify:

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 20a - 7 

• 5a³ - 9a² - 20a - 7

Multiple Choice

Simplify:

 (4x - 2x³) + (5x³ - 4x + 5)

• 3x³ + 5

• 3x³ + 8x + 5

• 3x² + 5

• 7x³ + 8x + 5

Multiple Choice

Simplify:

(4a + 6ab - b) + (-2a - ab + 3b)

• 2a + 7ab + 2b

• 6a + 5ab - 2b

• 6a + 7ab + 4b

• 2a + 5ab + 2b

Multiple Choice

Simplify:

(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3

• 4y² + 3y³ - y + 3

• -y⁴ + 2y³ -y - 4

• 4y³ + 3y² -3y + 1

Multiple Choice

Simplify:

(2x² + 5x - 7) + (3 - 4x² + 6x)

• 2x² + 3x + 1

• -2x² - 11x - 4

• 2x²+ 5x - 7

• -2x² + 11x - 4

Subtracting Polynomials

Multiple Choice

Simplify:

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3

• -7n² - 8n + 3

• -6n² - 8n + 3

• -7n² - 4n + 3

Multiple Choice

Simplify:

(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Multiple Choice

Simplify:

(3x + 4y - 3z) - (2x - 6y + 7z)

• x + 10y - 10z

• -x +10y - 10z

• x -10y - 10z

• -x -10y - 10z

Multiple Choice

Simplify:

(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 4

• b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 7

Multiple Choice

Simplify:

(3- 2x + 2x²) - (4x -5 +3x²)

• x² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

Multiple Choice

Simplify:

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24

• 4x⁴ - 9x³ - 10x² - 2x - 24

• 4x⁴ - 9x³ - 10x² + 2x - 24

• -4x⁴ - 9x³ - 10x² - 24