((frac{x}{y}) + rw = z) Solve for x in the equation above.

A. x=y(z-rw)

B. x=rw(y-z)

C. x=w(z+ry)

D. x=rwy-z

Answer Explanation:

The question requires us we make x the subject of the formula.

First, we subtract rw to both sides of the equation

Multiply both sides by y

Thus, the formula for finding the value of x is y(z-rw).

Therefore, the Correct Answer is A.

Q #1: Solve for p in the equation above.

A. p=1/v * (q - x/y)

B. p=1/q * (v - x/y)

C. p=qv+x/y

D. p=qx-vy

Answer Explanation
Q #2: Which of the following is the appropriate unit of a measure to express the mass of a needle?

A. Gram

B. Milliliter

C. Meter

D. Kilogram

Answer Explanation
Q #3: Simplify the expression above. Which of the following is correct?

A. 33

B. 44

C. 25

D. 12

Answer Explanation

Let's simplify the expression step by step:

Step 1: Inside the square brackets, perform the operation within parentheses first:

([4(3+6?5)]=[4(3+30)] )

Step 2: Continue simplifying inside the square brackets:

([4(3+30)]=[4ast33])

Step 3: Calculate the value inside the square brackets:

([4ast33]=132)

Step 4: Now, deal with the denominator:

((20÷5)=4)

Step 5: Finally, divide the result from step 3 by the result from step 4:

(132/4=33)

So, the simplified expression is 33.
Q #4: A recipe calls for 4 teaspoons of vanilla. 1 teaspoon equals approximately 4.98 mL. Which of the following is the correct amount of vanilla in mL?

A. 5.35 mL

B. 50.7 mL

C. 19.92 mL

D. 12.25 mL

Answer Explanation

We need to find the mL in 4 teaspoons from the given information.

If we let x represent the amount of vanilla in mL, and set a proportion equation with number of teaspoons as numerator and mL as denominator, then:

Find the value of x by cross-products

Therefore, 4 teaspoons equal 19.92 mL.
Q #5: Which of the following is the appropriate unit of a measure to express the weight of a pen?

A. Liter

B. Milliliter

C. Gram

D. Kilogram

Answer Explanation

Although we can measure the mass of the pen in kilogram, the unit is quite large and is not appropriate for measuring small objects. Liter and milliliter are units of measuring volume. Thus, gram is the appropriate unit for measuring weight of a pen.
Q #6: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:10. Which of the following is the minimum length of a ramp needed to provide access to a door that is 2.3 feet above the sidewalk?

A. 23 feet

B. 14 feet

C. 32 feet

D. 30 feet

Answer Explanation
Q #7: A person weighed themselves at 120 lb. Three months later they weighed themselves at 160 lb. Which of the following is the percent of weight the person gained over 3 months? (Round to the nearest percent.)

A. 66%

B. 33%

C. 35%

D. 30%
Answer Explanation

We need to find the percent change in weight of a person. To find the percent change, follow the following steps:
- Find absolute change in weight
- Find relative change
- Find the percent change from relative change.
Absolute change is the difference between the final value and initial value. Our initial value is 120 lb and final value is 160 lb. Then,

Relative change is given by

Percent change is determined by

To the nearest whole number, the percent change is 33%.
Q #8: Which of the following is the decimal form of 235.8%?

A. 2358

B. 23.48

C. 0.2358

D. 2.358

Answer Explanation
Q #9: Which of the following is the value of x in the equation below? (left|3x-7 ight|-13=2)

A. x = 21/3, x=22/3

B. x = 7/3, x=9/3

C. x = 15/2, x=9/3

D. x = 22/3, x=-8/3
Answer Explanation
1. Add 13 to both sides to isolate the absolute value term, resulting in ( left|3x-7 ight|= 15)
2. Consider two cases:
  - When (+(3x-7)) is positive, solve for x to get (3x = 15 + 7) then (3x=22) (finally x=frac{22}{3})
  - When (-(3x-7)) is negative (but the absolute value makes it positive). Solve for x to get (-3x = 15 - 7) then (-3x=8) (finally x=- frac{8}{3})
So, there are two possible solutions: (x=frac{22}{3} or x=- frac{8}{3})
Q #10: There are 900 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the respiratory care program?

A. 162

B. 171

C. 378

D. 189

Answer Explanation

we use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.

If we let x represent the number of students enrolled in the respiratory care program, we can set a proportion equation with number of students on the numerator and percentages on the denominator.

Find the value of x by cross-products

Divide both sides of the equation by 100%

Thus, 171 students out of 900 students will enroll for a respiratory care program.