Three friends are sharing a pizza. One friend eats three-quarters of the pizza. The other two friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?

A. 1/6

B. 3/4

C. 2/3

D. 1/5

Answer Explanation:

Therefore, the Correct Answer is A.

Q #1: ((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).
Q #2: Which of the following is the weight of the cargo in a truck if 3/5 of the cargo weighs 615 pounds (lb)?

A. 1025 lb

B. 1320 lb

C. 1548 lb

D. 788 lb

Answer Explanation

In this problem, we assume the truck carry a whole cargo to carry. Thus, total weight is found by dividing 615 lb by 3/5. Thus,

We change the division sign to product and multiply 615 by reciprocal of 3/5. Then,

(615 * frac{5}{3} = 1025 lb)

The weight of the cargo in the truck will be 1025 lb.
Q #3: Which of the following is the decimal form of 34.9%?

A. 3,490

B. 3.49

C. 0.349

D. 34.9

Answer Explanation

To convert a percentage to a decimal, divide the given percentage by 100. So, 34.9% becomes:

The decimal form of 34.9% is 0.349.
Q #4: Which of the following is the independent variable in the equation below? y(x)=7+8x

A. y

B. 7

C. x

D. 8

Answer Explanation
Q #5: As the number of working hours increases, the company experiences an increase profit, production, and a decrease in overhead costs. Which of the following is the independent variable?

A. Profit

B. Working hours

C. Production

D. Overhead costs

Answer Explanation
Q #6: How many liters are there in 560 milliliters?

A. 5.6

B. 0.56

C. 56

D. 5600

Answer Explanation
Q #7: Which of the following is the value of x in the equation below. (|2x - 4| - 10 = 2)

A. x=4 or x=-8

B. x=-4 or x=8

C. x=-2 or x=1

D. x=-3 or x=5

Answer Explanation

Explanation:

We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.

Add 10 to both sides of the equation

Next, we apply the absolute rule:

If , a>0, then u=a or u=-a

In this case a=12, which is greater 0. Then, the first condition becomes

Solving for x

The second condition becomes

Solving for x

Then, the value of x is -4 or 8.
Q #8: The length of a rectangular room is 9 feet greater than its width. Which of the following equations represents the area (A) of the room?

A. A=9x

B. A=2x+2(x+9)

C. A=x(x+9)

D. A=x+(x+9)

Answer Explanation

we are asked to find the area of the room from the given information.

The first step is to find equation relating the length of the room to its width. If we let the width of the room to be x. Then,

Width of the rectangle= x

Length of rectangle = (x+9)

Area of the rectangle, A= Length*width = (x+9)*x

A=x(x+9)

Therefore, the area of the rectangular room is x(x+9).
Q #9: To determine the cost of producing the phone, the manufacturing company considers the location of raw materials, tax percent, and the price of chips. Which of the following is the dependent variable?

A. Price of chips

B. Cost of the phone

C. Raw materials

D. Tax percent

Answer Explanation
Q #10: Joe’s uncle is eight less than four times Joe’s age. Which of the equations represents Joe’s uncle’s age (u) as it relates to Joe’s age (k)?

A. u=8-4k

B. k=4u-8

C. k=8-4u

D. u=4k-8

Answer Explanation

We are asked to form an equation to find Joe’s uncle’s age to the age of Joe.

First, we find Joe’s age which is k. We know that Joe’s uncle’s age is four times that of Joe less 8. Then,

Joe’s uncle’s age, u = 4k-8.

Thus, the age of Joe’s uncle is u=4k-8.