$$20.00 - [3 \times 1.85 + 8.95] \times 1.06$$

$$\dfrac{(6 \times 90) - 75}{5}$$

Question 1

Solve for $$x in $$the equation $$x + a = b.$$

Accepted Answer

$$x = b - a$$

Question 2

Given the formula for the area of a rectangle $$A = lw$$, solve for $$w.$$

Accepted Answer

$$w = \dfrac{A}{l}$$

Question 3

If $$ax = b$$, what is $$x in $$terms of $$a$$ and $$b$$?

Accepted Answer

$$x = \dfrac{b}{a}$$

Question 4

The formula for the area of a parallelogram is $$A = bh. $$Solve for $$b.$$

Accepted Answer

$$b = \dfrac{A}{h}$$

Question 5

Otis paid $$20.00 for 3 pairs of socks at 1.85$ per pair and a T-shirt at 8.95$. The sales tax was 6$$\%$. How much money should he get back?

Accepted Answer

$$20.00 - [3 	imes 1.85 + 8.95] 	imes 1.06$$

Question 6

If the spinner is spun once, what are the odds that it will land on a one-digit prime number?

Accepted Answer

Number of one-digit primes divided by total sections

Question 7

Brenda's average score after 6 tests is 90. If her lowest score, 75, is not counted, what is her average score on the remaining 5 tests?

Accepted Answer

$$\dfrac{(6 	imes 90) - 75}{5}$$

Question 8

Justin finished 3 problems in 4 minutes. At that rate, how long will it take him to finish 27 problems?

Accepted Answer

$$\dfrac{27}{3} 	imes 4$$

Question 9

The ratio of residents to visitors in a pool is $$2:3. If $$there are 60 people in the pool, how many are visitors?

Accepted Answer

$$\dfrac{3}{5} 	imes 60$$

Question 10

The dog groomer's clientele increased $$25\%$$ this year to 80 clients. How many clients did the groomer have last year?

Accepted Answer

$$\dfrac{80}{1.25}$$

Question 11

What is the cube root of $$-64$$?

Accepted Answer

$$-4$$

Question 12

Write an equation to solve: What number is $$225\% of$$ $$40$$?

Accepted Answer

$$x = 2.25 	imes 40$$

Question 13

Sixty-six is $$66\frac{2}{3}\% of $$what number?

Accepted Answer

$$x = \dfrac{66}{0.6667}$$

Question 14

Seventy-five percent of what number is $$24$$?

Accepted Answer

$$x = \dfrac{24}{0.75}$$

Question 15

Multiply and write the product in scientific notation: $$(4.8 	imes 10$$^{-10}$$)(6 	imes 10$$^{-6}$$).$$

Accepted Answer

$$2.88 	imes 10$$^{-16}$$

Question 16

Evaluate $$x^2 + bx + c$ if x = -3$, b = -5$, and c = 6$.

Accepted Answer

$$30$$

Question 17

Solve for $$w in $$the equation $$6w - 2(4 + w) = w + 7.$$

Accepted Answer

$$w = 3$$

Question 18

Solve the inequality $$6x + 8 \u003c 14$$ and graph its solution.

Accepted Answer

$$x \u003c 1$$

Question 19

Simplify: $$25 - [32 + 2(5 - 3)]$$

Accepted Answer

$$-11$$

Step-by-Step Guidance for Solving Literal Equations and Transforming Formulas

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