Question 1

Which of the following is an algebraic expression?

Accepted Answer

$$3x - 5$$

Question 2

Evaluate the expression $$2x + 3y$$ when $$x = 4$$ and $$y = -5.$$

Accepted Answer

$$-2$$

Question 3

Simplify the expression $$4x + 6 - 3(x + 2).$$

Accepted Answer

Question 4

Which rule is used to simplify $$(a^m)^n$$?

Accepted Answer

Power Rule

Question 5

Simplify the expression $$\frac{6x^3$y^2$$}{$$4x^2y^5$}.$$

Accepted Answer

$$\frac{3x}{2y^3$}$$

Question 6

Which of the following is a trinomial?

Accepted Answer

$$x^2 + 2x + 1$

Question 7

Write $$x^2 + 5x + 6$ in factored form.

Accepted Answer

$$(x + 2)(x + 3)$$

Question 8

Multiply the polynomials $$(x + 4)(x - 2)$$ using the FOIL method.

Accepted Answer

Question 9

Which of the following is the correct simplification of $$\sqrt{18x^2$}$$?

Accepted Answer

$$3x\sqrt{2}$$

Question 10

Rationalize the denominator: $$\frac{1}{\sqrt{3}}.$$

Accepted Answer

$$\frac{\sqrt{3}}{3}$$

Question 11

Which of the following is the conjugate of $$2 + \sqrt{5}$$?

Accepted Answer

$$2 - \sqrt{5}$$

Question 12

Rewrite $$\sqrt[3]{x^5$}$$ using rational exponents.

Accepted Answer

$$x^{5/3}$$

Question 13

Which of the following is a difference of squares?

Accepted Answer

$$x^2 - 16$

Question 14

Factor $$x^2 - 25$ using special product formulas.

Accepted Answer

$$(x + 5)(x - 5)$$

Question 15

Simplify $$\frac{\sqrt{64x^4$}}{\sqrt{9x^2$}}.$$

Accepted Answer

$$\frac{8x^2$}{3x}$$

Question 16

Which of the following is NOT a polynomial?

Accepted Answer

$$x^{-1} + 2$

Question 17

What is the degree and leading coefficient of $$5x^3$$ - $$3x^2 + 2x - 7$?

Accepted Answer

Degree: $$3$$, Leading Coefficient: $$5$$

Question 18

Which of the following is the correct simplification of $$\sqrt{50} + \sqrt{18}$$?

Accepted Answer

Question 19

Which of the following is the correct result of multiplying $$(x + 3)^2$?

Accepted Answer

$$x^2 + 6x + 9$

Question 20

Which of the following is the correct simplification of $$\sqrt{x^7$}$$?

Accepted Answer

$$x^3$$\sqrt{x}$$

Fundamental Concepts of Algebra: Precalculus Study Notes

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