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Algebra Mastery Quiz

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Algebra essentials

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Mexico

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Algebra Mastery Quiz
 

Algebra Mastery QuizOnline version

Algebra essentials

by Frida Lissete
1

Solve for x: 2x + 3 = 11.

2

Factor: x^2 - 5x + 6 = ?

3

Solve for y: 3y - 4 = 2y + 7.

4

Simplify: (2x^3)(3x^2).

5

Rule: (a^4)/(a^2) = ?

6

Solve for x: 5x = 0.

7

Factor: x^2 - 4x - 5 = 0.

8

Solve inequality: 2x+3 > 7.

9

Compute left side: 3(2x - 4).

10

Solve for t: t^2 = 16.

Feedback

Subtract 3 from both sides, then divide by 2 to get x = 4.

Look for two numbers that multiply to 6 and add to 5: 2 and 3.

Move 2y to left and 4 to right, then divide by 1.

Multiply coefficients and add exponents: 2*3=6, x^{3+2}=x^5.

Subtract exponents: a^{4-2} = a^2.

If a product equals zero, at least one factor is zero; here x must be 0.

Find factors that multiply to -5 and sum to -4.

Subtract 3 and divide by 2; inequality keeps direction since dividing by positive 2.

Distribute 3: 3*2x = 6x, 3*(-4) = -12.

Square root gives ±4; principal root is 4.

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