Question 1

Which of the following is the correct solution to the equation $$9(x + 2) = 3(x - 2)$$?

Accepted Answer

$$x = -5$$

Question 2

A chemist is mixing two solutions. The equation $$7(x + 2) = 6(x - 1)$$ models the number of milliliters of each solution needed for a reaction. What is the value of $$x$$?

Accepted Answer

$$x = 5$$

Question 3

Solve for $$x in $$the equation $$3x - 11 = 4x + 9.$$

Accepted Answer

$$x = -20$$

Question 4

A store offers a discount such that $$4(x + 3) = 3(x - 2). $$What is the value of $$x$$?

Accepted Answer

$$x = -15$$

Question 5

Which value of $$x$$ satisfies the equation $$6(x + 3) = 5(x - 7)$$?

Accepted Answer

$$x = -38$$

Question 6

A medical dosage calculation uses the equation $$9(x + 2) = 2x + 7. $$What is the correct value of $$x$$?

Accepted Answer

$$x = -0.71$$

Question 7

Solve for $$x in $$the equation $$0.7x - 2.1 = 3.5x - 2.7.$$

Accepted Answer

$$x = 0.2$$

Question 8

Which of the following is the solution to $$0.2x - 1.4 = 1.2x - 3.2$$?

Accepted Answer

$$x = 2$$

Question 9

A recipe requires solving $$\frac{5x}{3} + \frac{4}{3} = \frac{20}{3}. $$What is the value of $$x$$?

Accepted Answer

$$x = 3.2$$

Question 10

Solve for $$x in $$the equation $$\frac{3x}{4} = \frac{5}{8}.$$

Accepted Answer

$$x = \frac{5}{6}$$

Question 11

A pharmacist needs to solve $$\frac{2x}{5} = \frac{3}{10} to $$determine the correct dosage. What is $$x$$?

Accepted Answer

$$x = \frac{3}{4}$$

Question 12

Solve for $$x in $$the equation $$\frac{7}{3} = x - \frac{5}{6}.$$

Accepted Answer

$$x = \frac{19}{6}$$

Question 13

Which value of $$x$$ solves $$\frac{2x}{3} = \frac{5}{6}$$?

Accepted Answer

$$x = \frac{5}{4}$$

Question 14

A student solves $$3x - \frac{5}{4} = \frac{4x}{5}$$ for $$x. $$What is the solution?

Accepted Answer

$$x = \frac{5}{8}$$

Question 15

Solve for $$x in $$the equation $$\frac{3x}{4} + \frac{2}{3} = \frac{7x}{6}.$$

Accepted Answer

$$x = 4$$

Solving Linear Equations: Study Notes and Practice

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