Factorize Algebraic Expressions by Grouping

Simplify 2x^2+3x−4x^2+5

• −2x^2+3x+5

• −2x^2−x+5

• −2x^2−x−5

• −2x^2−4x+5

Simplify 4y+2(y−3)−3(2y+1)

• −2y−5

• 6𝑦−56y−5

• −6y−7

• 
  2𝑦−52y−5

Fill in the blank: 2𝑥^2+3𝑥-_______𝑥^2+5

Simplify 3a^2 - 2a + 4a^2 - 5

• 7a^2 - 2a - 5

• 7a^2 + 3a - 5

• a^2 - 2a - 5

• a^2 + 3a - 5

Simplify 5b - 2(3b + 4) + 3(2b - 1)

• 5b - 2

• 11b - 11

• 11b - 2

• 5b - 11

Simplify 2x^3 + 4x^2 - 3x^3 + 5

• -x^3 + 4x^2 + 5

• -x^3 + 4x^2 - 5

• -x^3 - 4x^2 + 5

• -x^3 - 4x^2 - 5

Suppose you have a part-time job where you earn $15 per hour. You work 𝑥x hours per week. Your weekly earnings can be represented by the expression:

• 15𝑥
  

• 15𝑥+10
  

• 10𝑥+15
  

• 10𝑥

A car rental company charges a flat fee of $50 plus $20 per day for renting a car. If you rent the car for 𝑥x days, the total cost can be represented by the expression:

• 50𝑥+20
  

• 20𝑥+50
  

• 20𝑥+70
  

• 70𝑥

Simplify the expression 5(𝑥−____)+2(4−𝑥)+3(2𝑥+1)5(x−​)+2(4−x)+3(2x+1).

If a store sells shirts for $20 each and you buy 𝑥x shirts, how much will you spend in total?

• 20𝑥

• 20+𝑥

• 20𝑥+20

• 20+20𝑥