The length of a rectangular room is 8 feet greater than its width. Which of the following equations represents the area (A) of the room?

A. A = w(w+8)

B. A = 2w+2(w+8)

C. A = 5(w+8)

D. A = w+(w+8)

Answer Explanation:

To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then

Width of the rectangle= w

Length of rectangle=(w+8)

Area of the rectangle, A= Length*width=(w+8)*w

A=w(w+8)

Thus, the area of the rectangular room is w(w+8).

Therefore, the Correct Answer is A.

Q #1: As the number of opening hours a bank opens in a week increases, the amount of transaction, the number of deposits, and the number of loans available also increase. Which of the following is the independent variable?

A. Opening hours

B. Amount of transactions

C. Number of loans available

D. Number of deposits

Answer Explanation

Based on the given case, the outcome of measuring the duration of opening the bank is the amount of transaction, the number of deposits, and the number of loans available. The three outcomes are dependent variables while the number of opening hours is the independent variable.
Q #2: Soft Drinks Orange Two 24-packs for $15; one 24-pack for $9 Root Beer One 24-pack for $14 Cream Soda One 12-pack for $3 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?

A. 2 two-24 packs of Orange and 1 pack of Cream Soda

B. 3 one 24-pack of Orange

C. 2 packs of Root Beer and 1 pack of Cream Soda

D. 5 packs of cream Soda

Answer Explanation

To find the cheapest option, we find the expenditure on each given option.:

2 two-24 packs of Orange and 1 pack of Cream Soda=2($15)+$3=$33

3 one 24-pack of Orange=3($9)=$27

2 packs of Root Beer and 1 pack of Cream Soda=2($14)+$3=$31

5 packs of cream Soda=5($3)=$15

Spending 5 packs of cream soda is the cost-effective option.
Q #3: Which of the following is the independent variable in the equation below? F(z)=9z+28

A. F

B. 9

C. 28

D. z

Answer Explanation

Given the equation F(z)=9z+28

To find the value of F(z), we need to vary the value of z. In this case, z is the independent variable while F(z) is what we measure, which is the dependent variable.

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The length of a rectangular room is 8 feet greater than its width. Which of the following equations represents the area (A) of the room?

More Questions on TEAS 7 Math

Q #1: As the number of opening hours a bank opens in a week increases, the amount of transaction, the number of deposits, and the number of loans available also increase. Which of the following is the independent variable?

Answer Explanation

Q #2: Soft Drinks Orange Two 24-packs for $15; one 24-pack for $9 Root Beer One 24-pack for $14 Cream Soda One 12-pack for $3 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?

Answer Explanation

Q #3: Which of the following is the independent variable in the equation below? F(z)=9z+28

Answer Explanation

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