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Algebraic Expressions Challenge

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Algebraic Expressions Challenge

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Algebra basics quiz

Created by

Ahmad Tufail
Ahmad Tufail
United States

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Algebraic Expressions Challenge
 

Algebraic Expressions ChallengeOnline version

Algebra basics quiz

by Ahmad Tufail
1

Simplify the expression 3x + 5x - 2x.

2

Factor out the greatest common factor from 6x^2 + 9x.

3

Evaluate 2a - 4 when a = 5.

4

Expand 4(x - 3).

5

Combine like terms: 7y + 3 - 2y + 4.

6

What is the coefficient of x in 9x^2 - 4x + 7?

7

Compute 5x^2 + 3x^2.

8

Expand (x+4)(x+2).

9

Factor out the greatest common factor from 8x^3 + 4x^2.

10

Simplify: 2(a - 3) + 4a.

Feedback

Correct: combine like terms: 3+5-2 = 6.

Factoring out the GCF 3x gives 3x(2x+3).

Substitute a=5: 2(5) - 4 = 10 - 4 = 6.

Distribute 4 to both terms inside parentheses.

Combine y-terms: 7y-2y = 5y; constants 3+4=7.

The coefficient of x is the numeric factor of x, which is -4.

Like terms 5x^2 and 3x^2 add to 8x^2.

Use FOIL: x^2 + 2x + 4x + 8 = x^2 + 6x + 8.

GCF is 4x^2: 4x^2(2x+1).

2a - 6 + 4a = 6a - 6.

 
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