Question 1

Solve for $$x$$: $$9(x + 2) = 3(x - 2)$$

Accepted Answer

$$x = -4$$

Question 2

Which of the following is the solution to $$7(x - 2) = 6(x - 1)$$?

Accepted Answer

$$x = 1$$

Question 3

If $$3x + 11 = 4x - 9$$, what is the value of $$x$$?

Accepted Answer

$$x = 20$$

Question 4

A chemist mixes two solutions. The equation $$4(x + 3) = 7(x - 2)$$ models the relationship between the amounts. What is $$x$$?

Accepted Answer

$$x = 4.8$$

Question 5

Solve for $$x$$: $$8(x - 3) = 3(x + 7)$$

Accepted Answer

$$x = 6$$

Question 6

A patient’s medication dosage is modeled by $$9(x + 2) = 2x + 7. $$What is the correct dosage $$x$$?

Accepted Answer

$$x = 1.57$$

Question 7

Solve for $$x$$: $$0.7x - 2.1 = 5x + 2.7$$

Accepted Answer

$$x = -1.05$$

Question 8

Which value of $$x$$ solves $$0.2x - 1.4 = 1.3x - 3.2$$?

Accepted Answer

$$x = 2$$

Question 9

Solve for $$x$$: $$\frac{5x}{3} - \frac{4}{3} = 2$$

Accepted Answer

$$x = 2.8$$

Question 10

A recipe requires $$\frac{3x}{4} = 6. $$How much of the ingredient $$x is $$needed?

Accepted Answer

$$x = 8$$

Question 11

Solve for $$x$$: $$\frac{2x}{5} = \frac{3}{10}$$

Accepted Answer

$$x = 0.5$$

Question 12

If $$7 - 3x = 2x + 12$$, what is $$x$$?

Accepted Answer

$$x = -1$$

Question 13

Solve for $$x$$: $$\frac{2x}{3} - \frac{5}{6} = \frac{3}{2}$$

Accepted Answer

$$x = 3.75$$

Question 14

A business splits profits using $$3x - \frac{1}{2} = 4x. $$What is $$x$$?

Accepted Answer

$$x = 0.5$$

Question 15

Solve for $$x$$: $$\frac{3x}{4} = \frac{2x}{3} + 2$$

Accepted Answer

$$x = 24$$

Solving Linear Equations: Study Notes and Practice

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