Advanced Algebra

Find the sum.

(2x² + 5x - 7) + ( 3 - 4x² + 6x)

(Hint: drop the parentheses and combine like terms)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x²+ 5x -7

• -2x² + 11x -4

(x³-x²+4) - (3x³-2x²+3)

• -2x³-3x²+7

• -2x³+x²+1

• 2x³-3x³-1

• 4x³-3x²+7

Simplify

3√18 - 2√2

(Hint: Simplify the radicands before combining your coefficients and radicals)

Remember you can only add or subtract radicands when they are the same!

• 7√2

• √16

• √2

• Already simplified

Simplify

(Hint: multiply the coefficients together and the radicands together and then simplify)

• 
• 
• 
• 
• 

Solve: 2(m + 3) = 2m + 12

(Hint: remember to solve the equation x = a 1 sol., -3 = 4 no sol., and 0 = 0 infinite sol.)

• No Solution

• One Solution

• Infinite Solutions

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4 

8x - 8 = - 4x + 16

(Hint: use inverse operations to solve the equation)

• 8

• 16

• 24

• 2

Solve the equation

12x - 15 = 3(2x + 3)

(Hint: use the distributive property first and this use inverse operations to solve the equation)

• x = 4

• x = -4

• x = 2

• x = -2

• 7√2

• 7√4

• 4√7

• 2√7