Question 1

Which of the following values for $$x is a $$solution to the equation $$8x - 1 = 7(x - 3)$$?

Accepted Answer

$$x = 2$$

Question 2

Solve for $$x in $$the equation $$0.8x = 36.$$

Accepted Answer

$$x = 45$$

Question 3

If $$6m + 5 = 10m - 12$$, what is the value of $$m$$?

Accepted Answer

$$m = -4.25$$

Question 4

Which of the following is the correct first step to solve the equation $$\frac{2}{3}(2x + 1) = 30$$?

Accepted Answer

Multiply both sides by $$\frac{3}{2}$$

Question 5

A rectangle has a perimeter of $$150 ft $$and a width of $$20 ft. $$What is the length $$l$$?

Accepted Answer

$$l = 55 ft$$

Question 6

What is $$35\% of$$ $$80$$?

Accepted Answer

$$28$$

Question 7

If $$P = a - c$$, solve for $$c.$$

Accepted Answer

$$c = a - P$$

Question 8

Which equation represents the area $$A of a $$trapezoid with bases $$b_1$$, $$b_2$$, and height $$h$$?

Accepted Answer

$$A = \frac{1}{2}(b_1$ + b_2$)h$$

Question 9

A store reduces the price of shoes from $$\82$ to $$\$$67. $$What is the percent decrease?

Accepted Answer

$$15.9\%$$

Question 10

Solve for $$y in $$the equation $$18 = 0.3y.$$

Accepted Answer

$$y = 60$$

Question 11

Which of the following is an equivalent equation to $$x + 10 = 23$$?

Accepted Answer

$$x = 13$$

Question 12

If $$K = 917 - 6(w + n - a)$$, solve for $$w.$$

Accepted Answer

$$w = \frac{917 - K}{6} - n + a$$

Question 13

What is the decimal equivalent of $$78\%$$?

Accepted Answer

$$0.78$$

Question 14

Solve for $$x in $$the equation $$\frac{3}{5}x = 30.$$

Accepted Answer

$$x = 50$$

Question 15

Which of the following best describes the process to clear fractions from an equation?

Accepted Answer

Multiply both sides by the least common denominator

Question 16

If $$y = -\frac{1}{2}x + \frac{3}{2}$$, what is $$y$$ when $$x = 2$$?

Accepted Answer

$$y = 0.5$$

Question 17

A nutrition formula is $$K = 917 - 6(w + n - a). If$$ $$K = 850$$, $$n = 10$$, and $$a = 5$$, what is $$w$$?

Accepted Answer

$$w = 7$$

Question 18

Which formula gives the circumference $$C of a $$circle with radius $$r$$?

Accepted Answer

$$C = 2\pi r$$

Question 19

If $$0.91 - 0.2m = 1.23 - 0.6m$$, what is the value of $$m$$?

Accepted Answer

$$m = 0.8$$

Question 20

Which of the following is the correct formula for the area of a parallelogram with base $$b$$ and height $$h$$?

Accepted Answer

$$A = bh$$

Beginning Algebra Study Notes: Solving Linear Equations, Applications, and Formulas

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