Question 1

Solve for $$x$$: $$7x - (3x - 1) = 2$$

Accepted Answer

$$x = \frac{3}{2}$$

Question 2

A chemist mixes two solutions. The equation $$0.4x - 1.2y = 24$$ models the relationship between the amounts of two chemicals. If $$y = 2x$$, what is the value of $$x$$?

Accepted Answer

$$x = 36$$

Question 3

Solve for $$y$$: $$(y - 2) - 0.7y = 8 + 4y$$

Accepted Answer

$$y = -2.5$$

Question 4

A store sells packs of pens. The equation $$3(5x + 2) = 9$$ models the total cost in dollars. What is the value of $$x$$?

Accepted Answer

$$x = 0.4$$

Question 5

Solve for $$x$$: $$2(x + 4) = 9$$

Accepted Answer

$$x = 2.5$$

Question 6

A company’s profit is modeled by $$-2(4x - 5) = 8. $$What is the value of $$x$$?

Accepted Answer

$$x = 3$$

Question 7

Solve for $$y$$: $$1.3y + 0.9y = 1.2 - 1.5$$

Accepted Answer

$$y = -0.2$$

Question 8

Solve for $$x$$: $$1.4x - 1.1 = 0.2x + 1.3$$

Accepted Answer

$$x = 1.2$$

Question 9

Solve for $$x$$: $$\frac{5x}{2} - 4 = 1$$

Accepted Answer

$$x = 2$$

Question 10

A pharmacist needs to dilute a solution. The equation $$\frac{2x}{3} = 4$$ models the amount of water to add. What is $$x$$?

Accepted Answer

$$x = 12$$

Question 11

Solve for $$x$$: $$\frac{7}{x} = 10$$

Accepted Answer

$$x = 0.7$$

Question 12

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

Accepted Answer

$$x = 15$$

Question 13

A recipe calls for $$\frac{3x}{2} = 9$$ cups of flour. How many cups are needed?

Accepted Answer

$$x = 6$$

Question 14

Solve for $$x$$: $$\frac{2x}{3} - 1 = 5$$

Accepted Answer

$$x = 9$$

Question 15

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

Accepted Answer

$$x = 0$$

Solving Linear Equations: Study Notes and Practice Problems

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