Question 1

Evaluate the expression $$4(4a - 1) - 2(4a - 1). $$What is the simplified result?

Accepted Answer

$$8a - 2$$

Question 2

Which of the following is the correct result for $$-3(7 - x) + 4x$$?

Accepted Answer

$$-21 + 7x$$

Question 3

Convert $$7.2 	imes 10^3$ from scientific notation to ordinary notation.

Accepted Answer

$$7200$$

Question 4

Which of the following is the correct scientific notation for $$0.00032$$?

Accepted Answer

$$3.2 	imes 10$$^{-4}$$

Question 5

Subtract $$(2x^2 + 3x - 7$$)$$ from (4x^2$ - 5x + 9). $$What is the result?

Accepted Answer

$$2x^2 - 8x + 16$

Question 6

Multiply $$(2x^2y)(-3xy^2$)$. What is the result?

Accepted Answer

$$-6x^3y^3$

Question 7

Divide $$\dfrac{8x^5$y^3$$}{$$2x^2y$$}$ and simplify.

Accepted Answer

$$4x^3y^2$

Question 8

Solve for $$x$$: $$3x + 2 = 17$$

Accepted Answer

$$x = 5$$

Question 9

Solve the inequality $$2x - 3 \u003c 7$$ and choose the correct solution set.

Accepted Answer

$$x \u003c 5$$

Question 10

If five times a number is 25, what is the number?

Accepted Answer

$$5$$

Question 11

Multiply $$(x - 2)(x + 3). $$What is the expanded form?

Accepted Answer

$$x^2 + x - 6$

Question 12

Divide $$\dfrac{15x^3$y^2$$}{3x}$ and simplify.

Accepted Answer

$$5x^2y^2$

Question 13

Solve for $$y$$: $$2y - 4 = 10$$

Accepted Answer

$$y = 7$$

Question 14

Which of the following is the correct result for $$-2(3x - 4) + 5x$$?

Accepted Answer

$$-x + 8$$

Question 15

Three times a number is 2 more than the number. What is the number?

Accepted Answer

$$3$$

Question 16

If five times a number is increased by 11, the result is 8 less than 8 times the number. What is the number?

Accepted Answer

$$6$$

Question 17

Multiply $$(x + 2)(x - 2). $$What is the result?

Accepted Answer

$$x^2 - 4$

Question 18

Divide $$\dfrac{12x^4$y^2$$}{$$4x^2y$$}$ and simplify.

Accepted Answer

$$3x^2y$

Question 19

Solve for $$x$$: $$2x + 5 = 3x - 7$$

Accepted Answer

$$x = 12$$

Question 20

Which of the following is the correct result for $$-4(2x - 3) + 7x$$?

Accepted Answer

$$-x + 12$$

Operations with Signed Numbers, Polynomials, and Linear Equations: College Algebra Review

Study Guide - Practice Questions