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Algebra Essentials Quiz

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Test your algebra skills

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Algebra Essentials Quiz
 

Algebra Essentials QuizOnline version

Test your algebra skills

by jessica rosas
1

Solve for x: 2x + 7 = 15. What is x?

2

Factor the expression: x^2 - 9.

3

If y = 3x + 2, what is y when x = -4?

4

Solve for x: 5x - 2 = 3x + 14. x equals?

5

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

6

Which is the solution to (x + 4)(x - 2) = 0?

7

What is the slope of the line in y = 3x + 7?

8

Compute (2^3) * (2^2).

9

If f(x) = x^2 - 4, what is f(3)?

10

Solve for x: 1/2 x = 7. x =?

Explicación

Subtract 7 from both sides: 2x = 8, so x = 4.

Difference of squares: a^2 - b^2 = (a - b)(a + b) with a = x, b = 3.

Plug in: y = 3(-4) + 2 = -12 + 2 = -10.

Subtract 3x: 2x - 2 = 14; add 2: 2x = 16; x = 8.

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

Product zero when either factor equals zero.

In y = mx + b, slope m = 3.

Add exponents: 2^(3+2) = 2^5 = 32.

9 - 4 = 5.

Multiply both sides by 2: x = 14.

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