Question 1

Solve for $$x in $$the equation $$\frac{x}{a} - bx = c.$$

Accepted Answer

Question 2

Solve for $$L in $$the equation $$S = 2LW + 2LH + 2HW.$$

Accepted Answer

$$L = \frac{S - 2HW}{2W + 2H}$$

Question 3

Solve for $$c in $$the equation $$\frac{1}{a} + \frac{1}{b} - \frac{1}{c} = d.$$

Accepted Answer

$$c = \frac{1}{\frac{1}{a} + \frac{1}{b} - d}$$

Question 4

A rectangular box has a surface area $$S = 2LW + 2LH + 2HW. If $$the surface area is doubled while $$W$$ and $$H$$ remain constant, what happens to $$L$$?

Accepted Answer

$$L is $$doubled

Question 5

Given $$\frac{x}{a} - bx = c$$, which of the following steps is correct to isolate $$x$$?

Accepted Answer

Combine like terms to get $$x(\frac{1}{a} - b) = c$$

Question 6

If $$\frac{1}{a} + \frac{1}{b} - \frac{1}{c} = d$$ and $$a = 2$$, $$b = 3$$, $$d = \frac{1}{6}$$, what is the value of $$c$$?

Accepted Answer

$$c = 6$$

Question 7

Which of the following best describes the process of solving for a variable in a literal equation?

Accepted Answer

Isolate the variable using inverse operations and algebraic manipulation

Question 8

If $$S = 2LW + 2LH + 2HW$$ and $$S = 100$$, $$W = 4$$, $$H = 3$$, what is $$L$$?

Accepted Answer

$$L = 5$$

Question 9

Given $$\frac{x}{a} - bx = c$$, which of the following is equivalent to the equation?

Accepted Answer

$$x\left(\frac{1}{a} - b\right) = c$$

Question 10

If $$\frac{1}{a} + \frac{1}{b} - \frac{1}{c} = d$$, and $$a, b, d \u003e 0$$, which of the following must be true for $$c to be $$positive?

Accepted Answer

$$\frac{1}{a} + \frac{1}{b} \u003e d$$

Solving for the Indicated Variable – College Algebra Practice

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