Question 1

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

Accepted Answer

$$x = 8$$

Question 2

A cafeteria offers a meal plan where the total cost $$C (in $$dollars) is given by $$C = 5m + 20$$, where $$m is $$the number of meals purchased. If a student spends $$70$$, how many meals did they buy?

Accepted Answer

$$m = 14$$

Question 3

Which of the following is the solution set for the inequality $$3x + 4 \u003c 19$$?

Accepted Answer

$$x \u003c 5$$

Question 4

A rectangular garden has a length that is 3 meters more than twice its width. If the perimeter is 36 meters, what is the width of the garden?

Accepted Answer

$$w = 6$$

Question 5

Which of the following is the correct graph of the equation $$y = -2x + 3$$?

Accepted Answer

A line with slope $$-2$$ and $$y-$$intercept $$3$$

Question 6

Solve the system of equations: $$\begin{cases} x + y = 7 \ 2x - y = 1 \end{cases}$$

Accepted Answer

$$(x, y) = (3, 4)$$

Question 7

Which of the following is the correct solution to the quadratic equation $$x^2 - 5x + 6 = 0$?

Accepted Answer

$$x = 2$$ and $$x = 3$$

Question 8

A chemical reaction requires mixing two solutions. Solution A contains $$x$$ grams of salt per liter, and Solution B contains $$2x$$ grams per liter. If you mix 3 liters of A and 2 liters of B to get a mixture with 12 grams of salt per liter, what is the value of $$x$$?

Accepted Answer

$$x = 4$$

Question 9

Which of the following is the correct simplification of the expression $$2(x - 3) + 4x$$?

Accepted Answer

$$6x - 6$$

Question 10

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

$$200$$ miles

Question 11

Which of the following is the correct solution to the inequality $$-2x + 7 \geq 1$$?

Accepted Answer

$$x \leq 3$$

Question 12

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

Accepted Answer

$$f(-2) = 17$$

Question 13

Which of the following is the correct solution to the equation $$\frac{3x}{4} = 9$$?

Accepted Answer

$$x = 36$$

Question 14

A student scored 80, 85, and 90 on three tests. What score must they get on the fourth test to have an average of 88?

Accepted Answer

$$97$$

Question 15

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

Accepted Answer

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

Question 16

A cell phone plan charges $$\40$ per month plus $$\$$0.10$$ per text message. If a bill was $$\55$, how many text messages were sent?

Accepted Answer

$$150$$

Question 17

Which of the following is the correct solution to the equation $$5(x - 2) = 3x + 6$$?

Accepted Answer

Question 18

Which of the following is the correct solution to the equation $$5(x - 2) = 3x + 6$$?

Accepted Answer

Question 19

A rectangle has a length that is 4 meters more than its width. If its area is $$60$$ square meters, what is the width?

Accepted Answer

$$w = 10$$

Syllabus and Study Guide: Math 0955 – Beginning Algebra (Cuyahoga Community College)

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