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)
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.
More Questions on TEAS 7 Math
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Q #1: A baker is using a cookie recipe that calls for 3 ¼ cups of flour to yield 64 cookies. How much flour will the baker need to make 130 cookies using the same recipe?
A. 6 77/128 cups
B. 5 5/128 cups
C. 10 1/28 cups
D. 4 81/128 cups
Answer Explanation
we are asked to find the number of cups of flour that will be used to make 130 cookies.
First, we convert 3 ¼ into improper fraction as:
Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:
Solve the value of x by cross-products
Dividing both sides by 64, the above equation result to
Thus, the number of cups of flour needed to make 130 cookies is 845/128 cups, which is equal to 6 77/128 cups.
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Q #2: Which of the following is the best approximation of 5 times the positive square root of 29?
A. 100.0
B. 44.7
C. 20.5
D. 26.9
Answer Explanation
we use the calculator to determine the positive square root of 20, which is then multiplied by 20.
Using the calculator,
Multiplying the square root above with 5 becomes
The approximate value is 26.9.
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Q #3: John’s uncle is twelve less than five times John’s age. Which of the equations represents John’s uncle’s age (u) as it relates to John’s age (k)?
A. u = 12-5k
B. k = 5u-12
C. k = 12-5u
D. u = 5k-12
Answer Explanation
We are asked to determine John’s uncle’s age relating to John’s age.
First, express John’s uncle’s age in terms of John’s age as follows
John’s age=k
John’s uncle’s age, u = 5k-12.
Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=5k-12.
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Q #4: Which of the following is the total number of whole boxes that measure 3 ft * 3 ft * 3 ft that can be stored in a room that measures 15 ft * 15 ft * 15 ft, if the size of the boxes cannot be altered?
A. 125
B. 64
C. 92
D. 18
Answer Explanation
The number of boxes is found by volume of the room divided by volume of one box.
Number of boxes
The room can hold 125 boxes.
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Q #5: A recipe calls for 6 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 34.33 mL
B. 29.58 mL
C. 25.59 mL
D. 12.32 mL
Answer Explanation
To find the amount of vanilla in mL, we set up an equation in a way the unwanted units cancel out and leave the wanted unit we are looking for. Then,
Thus, a recipe of 6 teaspoons equals 29.58 mL.
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Q #6: Solve for w in the equation below.
A. w=rxy+z
B. w=(x/ry)+(z/r)
C. w=y(z+rx)
D. w=(x/ry)-(z/r)
Answer Explanation
We are asked to make w the subject of the formula.
First, we rearrange the equation by to ensure w is on the right hand of the equation.
Then, divide both sides by r
Multiply both sides by y
The above equation can be rearranged into
Thus, the formula for finding the value of w is (x/ry)-(z/r).
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Q #7: 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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Q #8: Which of the following is the appropriate unit of measure to express the weight of a knife?
A. Liter
B. Milliliter
C. Gram
D. Kilogram
Answer Explanation
The weight of the knife could be appropriately expressed in grams. Since a knife is a small object, we do not expect to measure its weight in kilograms. Liter and milliliter are units of measuring the volume of objects.
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Q #9: 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.
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Q #10: Which of the following is the mean of the test scores listed below? 80, 68, 74, 87, 96
A. 80
B. 78
C. 96
D. 81
Answer Explanation
the mean of a data set is the total scores divided by the number of tests.
Total test scores =80+68+74+87+96=405
Number of tests =5
Mean test score =405/5=81
The mean test score is 81.
