Algebraic Expressions ChallengeOnline version Algebra basics quiz by Ahmad Tufail 1 Simplify the expression 3x + 5x - 2x. a 8x b 6x c 6 d x 2 Factor out the greatest common factor from 6x^2 + 9x. a 3(2x^2+3x) b 6x^2+9x c 3x(2x+3) d 3x(2x+3x) 3 Evaluate 2a - 4 when a = 5. a 0 b -6 c 6 d 14 4 Expand 4(x - 3). a -4x-12 b x - 12 c 4x+3 d 4x - 12 5 Combine like terms: 7y + 3 - 2y + 4. a 5y-7 b 5y + 7 c 9y+4 d 7 6 What is the coefficient of x in 9x^2 - 4x + 7? a 9 b -4 c 0 d 7 7 Compute 5x^2 + 3x^2. a 2x^2 b -2x^2 c 8x d 8x^2 8 Expand (x+4)(x+2). a x^2 + 8x + 8 b x^2 + 6x - 8 c x^2 + 6x + 8 d x^2 + 2x + 8 9 Factor out the greatest common factor from 8x^3 + 4x^2. a 4x(2x+1) b 4x^2(2x+1) c 8x^3+4x^2 d 2x^2(4x+2) 10 Simplify: 2(a - 3) + 4a. a 6a b -6 c -2a - 6 d 6a - 6 Feedback 1 Correct: combine like terms: 3+5-2 = 6. 2 Factoring out the GCF 3x gives 3x(2x+3). 3 Substitute a=5: 2(5) - 4 = 10 - 4 = 6. 4 Distribute 4 to both terms inside parentheses. 5 Combine y-terms: 7y-2y = 5y; constants 3+4=7. 6 The coefficient of x is the numeric factor of x, which is -4. 7 Like terms 5x^2 and 3x^2 add to 8x^2. 8 Use FOIL: x^2 + 2x + 4x + 8 = x^2 + 6x + 8. 9 GCF is 4x^2: 4x^2(2x+1). 10 2a - 6 + 4a = 6a - 6.
