Algebraic expressions (Part 1)INTRODUCTION TO ALGEBRAThe two terms shown here are like terms:2g3;−g32𝑔3;−𝑔3Why are these like terms? Select the best explanation from the list below.Answer:

Algebraic expressions (Part 1)INTRODUCTION TO ALGEBRAHere are two terms:Term one−5a4Term two−4h2Term oneTerm two−5𝑎4−4ℎ2Are these like terms or not?Answer:

𝑓(𝑥)=2𝑥2+4𝑥−5f(x)=2x 2 +4x−5𝑔(𝑥)=6𝑥3−2𝑥2+3g(x)=6x 3 −2x 2 +3Find (𝑓−𝑔)(𝑥)(f−g)(x).A.(𝑓−𝑔)(𝑥)=6𝑥3−4𝑥2−4𝑥+8(f−g)(x)=6x 3 −4x 2 −4x+8B.(𝑓−𝑔)(𝑥)=−6𝑥3+4𝑥2+4𝑥−8(f−g)(x)=−6x 3 +4x 2 +4x−8C.(𝑓−𝑔)(𝑥)=6𝑥3+4𝑥−2(f−g)(x)=6x 3 +4x−2D.(𝑓−𝑔)(𝑥)=−6𝑥3+4𝑥2+4𝑥−2(f−g)(x)=−6x 3 +4x 2 +4x−2SUBMITarrow_backPREVIOUS

3ab, 6𝑎𝑏56𝑎𝑏5, 2ba are like terms True False

𝑓(𝑥)=2𝑥2+6𝑥−4f(x)=2x 2 +6x−4𝑔(𝑥)=5𝑥3−6𝑥2−3g(x)=5x 3 −6x 2 −3Find (𝑓+𝑔)(𝑥)(f+g)(x).A.(𝑓+𝑔)(𝑥)=5𝑥3−4𝑥2+6𝑥−7(f+g)(x)=5x 3 −4x 2 +6x−7B.(𝑓+𝑔)(𝑥)=5𝑥3+2𝑥2−7(f+g)(x)=5x 3 +2x 2 −7C.(𝑓+𝑔)(𝑥)=−5𝑥3+8𝑥2+6𝑥−1(f+g)(x)=−5x 3 +8x 2 +6x−1D.(𝑓+𝑔)(𝑥)=7𝑥3−7(f+g)(x)=7x 3 −7SUBMITarrow_backPREVIOUS

Algebraic expressions (Part 2): ExponentsALGEBRAIC FRACTIONSSimplify each of the following expressions:INSTRUCTION: Use the ^ symbol to type an exponent if necessary. For example for g2𝑔2 type g^2.Answer:1. 6g4×4g22g=6𝑔4×4𝑔22𝑔= 2. 6g4+4g22g=6𝑔4+4𝑔22𝑔=2 attempts remaining