Question 1

Which of the following is the correct solution to the linear equation $$2x - 5 = 9$$?

Accepted Answer

$$x = 7$$

Question 2

A medical researcher uses the formula $$C = 2.5t + 10 to $$estimate the concentration $$C of a $$drug in the bloodstream $$t$$ hours after injection. What is the concentration after 4 hours?

Accepted Answer

Question 3

Which of the following is the solution set for the inequality $$3x + 2 \u003c 11$$?

Accepted Answer

$$x \u003c 3$$

Question 4

If $$|x - 4| = 7$$, what are the possible values for $$x$$?

Accepted Answer

$$x = 11 or$$ $$x = -3$$

Question 5

Simplify the rational expression $$\frac{6x}{3x}.$$

Accepted Answer

$$2$$

Question 6

A chemical reaction requires mixing two solutions in a ratio of $$\frac{2}{3}. If $$you have 12 mL of the first solution, how many mL of the second solution do you need?

Accepted Answer

18 mL

Question 7

Which of the following is the simplified form of $$\sqrt{50}$$?

Accepted Answer

$$5\sqrt{2}$$

Question 8

Solve the equation $$x^2 - 5x + 6 = 0$.

Accepted Answer

$$x = 2 or$$ $$x = 3$$

Question 9

A biologist models population growth with the function $$P(t) = 100e$$^{0.05t}$$. What is the population after 10 years?

Accepted Answer

$$P(10) = 100e$$^{0.5}$$

Question 10

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

Accepted Answer

$$m = 2$$

Question 11

If $$f(x) = 3x - 7$$, what is $$f(4)$$?

Accepted Answer

$$f(4) = 5$$

Question 12

Solve the system of equations: $$x + y = 8$$ and $$x - y = 2.$$

Accepted Answer

$$x = 5, y = 3$$

Question 13

Which of the following is the correct factorization of $$x^2 - 9$?

Accepted Answer

$$(x - 3)(x + 3)$$

Question 14

A recipe calls for a mixture to be diluted in a ratio of $$1:4. If $$you have 20 mL of concentrate, how much water should you add?

Accepted Answer

80 mL

Question 15

Which of the following is the solution to the equation $$\frac{2}{x} = 4$$?

Accepted Answer

$$x = 0.5$$

Question 16

Simplify the expression $$\frac{3x^2$ - 6x}{3x}.$$

Accepted Answer

$$x - 2$$

Question 17

Which of the following is the correct solution to the quadratic equation $$x^2 + 4x + 4 = 0$?

Accepted Answer

$$x = -2$$

Question 18

A car rental company charges a flat fee of $$\25$ plus $$\$$0.20$$ per mile driven. If a customer pays $$\45$, how many miles did they drive?

Accepted Answer

100 miles

Question 19

Which of the following is the correct simplified form of $$\sqrt{72}$$?

Accepted Answer

$$6\sqrt{2}$$

Question 20

If $$x$$ and $$y$$ are solutions to the system $$2x + 3y = 12$$ and $$x - y = 1$$, what is the value of $$y$$?

Accepted Answer

$$y = 2$$

Intermediate Algebra Syllabus and Course Structure Study Guide

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