Question 1

Which of the following is the correct value for $$7 + 8 	imes 2$$ according to the order of operations?

Accepted Answer

$$23$$

Question 2

Which property is illustrated by the equation $$a + 0 = a$$ for any real number $$a$$?

Accepted Answer

Additive Identity Property

Question 3

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

Accepted Answer

$$x + 12$$

Question 4

Which of the following is the solution to the equation $$2x - 5 = 11$$?

Accepted Answer

$$x = 8$$

Question 5

A chemist mixes $$2.5$$ liters of a $$40\%$$ saline solution with $$1.5$$ liters of a $$60\%$$ saline solution. What is the concentration of the resulting mixture?

Accepted Answer

$$48\%$$

Question 6

Which of the following is equivalent to $$\dfrac{3}{4} - \dfrac{1}{6}$$?

Accepted Answer

$$\dfrac{7}{12}$$

Question 7

If $$f(x) = 2x^2$ - 3x + 1$$, what is $$f(-2)$$?

Accepted Answer

$$15$$

Question 8

Which of the following is the slope of the line passing through the points $$(2, 5)$$ and $$(6, 13)$$?

Accepted Answer

$$2$$

Question 9

Solve for $$x$$: $$\dfrac{2x}{5} = 8$$

Accepted Answer

$$x = 20$$

Question 10

Which of the following is the correct scientific notation for $$0.00056$$?

Accepted Answer

$$5.6 	imes 10$$^{-4}$$

Question 11

Which equation represents a line with a slope of $$-3$$ and a $$y-$$intercept of $$5$$?

Accepted Answer

$$y = -3x + 5$$

Question 12

What is the result when you multiply $$(2x - 3)(x + 4)$$?

Accepted Answer

$$2x^2 + 5x - 12$

Question 13

Which of the following is the solution to the inequality $$3x - 7 \u003c 2x + 5$$?

Accepted Answer

$$x \u003c 12$$

Question 14

A car rental company charges a flat fee of $$\25$ plus $$\$$0.20$$ per mile driven. If a customer paid $$\65$, how many miles did they drive?

Accepted Answer

$$200$$

Question 15

Simplify: $$5x^2 - 3x$$ + $$2x^2 + 7x$

Accepted Answer

$$7x^2 + 4x$

Question 16

Which of the following is the solution to $$\dfrac{1}{2}x + 4 = 10$$?

Accepted Answer

$$x = 12$$

Question 17

If $$a = 3$$ and $$b = -2$$, what is the value of $$2a^2 - 3b$?

Accepted Answer

$$18$$

Question 18

Which of the following is the correct simplification of $$\dfrac{5}{8} \div \dfrac{1}{4}$$?

Accepted Answer

$$2.5$$

Question 19

Which of the following is the solution to $$|2x - 5| = 9$$?

Accepted Answer

$$x = 7, x = -2$$

Question 20

A rectangle has a length that is $$3$$ units more than twice its width. If the perimeter is $$36$$ units, what is the width?

Accepted Answer

$$5$$

Beginning Algebra: Homework and Test Overview with Key Concepts

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