Question 1

Solve the linear equation $$2x - 5 = 9. $$What is the value of $$x$$?

Accepted Answer

$$x = 7$$

Question 2

Which of the following is the solution set for the inequality $$3x + 4 \leq 10$$?

Accepted Answer

$$x \leq 2$$

Question 3

A chemist needs to prepare a solution by mixing water and acid. If the equation $$w + 2a = 10$$ represents the total volume in liters, where $$w is $$water and $$a is $$acid, how much acid is needed if $$w = 4$$ liters?

Accepted Answer

$$a = 3$$

Question 4

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

Accepted Answer

$$x = 8$$

Question 5

A car rental company charges a flat fee of $$\50$ plus $$\$$20$$ per day. If your total bill was $$\130$, how many days did you rent the car?

Accepted Answer

$$4$$ days

Question 6

Solve for $$x$$: $$\frac{2x}{3} + 5 = 11$$

Accepted Answer

$$x = 6$$

Question 7

Which of the following is a solution to the inequality $$-2x + 7 \u003e 1$$?

Accepted Answer

$$x \u003c 3$$

Question 8

A cell phone plan costs $$\30$ per month plus $$\$$0.10$$ per text message. If your bill was $$\45$, how many text messages did you send?

Accepted Answer

$$150$$

Question 9

Which of the following equations represents the statement: 'The sum of twice a number and 8 is equal to 20'?

Accepted Answer

$$2x + 8 = 20$$

Question 10

If $$y = 3x - 4$$ and $$y = 8$$, what is the value of $$x$$?

Accepted Answer

$$x = 4$$

Question 11

A patient is prescribed a medication where the dosage in mg is given by $$d = 5w + 10$$, where $$w is $$the patient's weight in kg. If the patient weighs $$60 kg$$, what is the dosage?

Accepted Answer

$$310 mg$$

Question 12

Which of the following is the solution set for $$4x - 7 \geq 9$$?

Accepted Answer

$$x \geq 4$$

Question 13

A store offers a discount such that the sale price $$S is $$given by $$S = p - 0.2p$$, where $$p is $$the original price. If the sale price is $$\80$, what was the original price?

Accepted Answer

$$\100$

Question 14

Solve for $$x$$: $$7x + 2 = 4x + 11$$

Accepted Answer

$$x = 3$$

Question 15

Which of the following is the correct interpretation of the solution to $$x + 5 = 0$$?

Accepted Answer

$$x = -5$$

Linear Equations: Solutions, Equalities, and Applications

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