The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A=w+(w+5)
B. A=2w+2(w+5)
C. A=5(w+8)
D. A=w(w+5)
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+5)
Area of the rectangle, A= Length*width=(w+5)*w
A=w(w+5)
Thus, the area of the rectangular room is w(w+5).
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: Which of the following is the median of the date set below? 3, -5, 9, -1, 0
A. 9
B. -5
C. -1
D. 0
Answer Explanation
The median of a data set is a number that falls in the middle of the data set. To find the median, the numbers in the data set are arranged from the smallest to the largest. In the given data set, the organized arrangement is:
-5, -1, 0, 3, 9
There are five elements in the data set, and the median falls in the third position from either side. Thus, 0 falls in the third position.
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Q #2: Which of the following is the best approximation of 3 times the positive square root of 19?
A. 57
B. 13.1
C. 21.7
D. 6.9
Answer Explanation
We use the calculator to find the positive square root of 19, which is then multiplied by 3.
Using the calculator,
Multiplying the square root above with 3 becomes
The approximate value of 3 times the square root of 19 is 13.1.
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Q #3: Which of the following is the best estimate of the number of centimeters (cm) in 9 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A. 775 cm
B. 780 cm
C. 823 cm
D. 830 cm
Answer Explanation
Here we utilize the dimensional analysis of units of measurement of length to convert yards to cm as follows
9 yards is equal to 822.96 cm, which is about 823 cm.
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Q #4: A teacher has asked all the students in the class what is their favorite color is and separates the responses into five categories. The results are shown in the table below. which of the following is the best way to display the frequency for each color? Color Red Black Green White Other Number of students 12 25 8 5 10
A. Histogram
B. Pie chart
C. Scatter plot
D. Line graph
Answer Explanation
A histogram is used to visualize the frequency of a one variable over the other while a line graph is used to compare two variables.
A scatter plot used to show the correlation between two variables.
A pie chart is used to show the proportion of the given information in circle, with each section of a circle representing a given fraction of a whole.
From the given information, a pie chart is an appropriate tool show the frequency of the students choosing their favorite color.
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Q #5: A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, three times as many as nickels as pennies, and six times as many dimes as nickels. How many more dimes does the child have than quarters?
A. 10 times as many
B. 5 times as many
C. 6 times as many
D. 9 times as many
Answer Explanation
In this task, we use the relation from the given scenario to compare the number of dimes to quarters.
If we let p be number of pennies in the bottle. Then,
Number of quarters in the bottle = 2p
Number of nickels in the bottle = 3p
Number of dimes in the bottle =6(3p)=18p
Now relating dimes to quarters, we have
Thus, there are 9 times as many dimes as quarters in the box.
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Q #6: Which of the following is an appropriate unit of measure to express the length of a chair?
A. Centimeters
B. Kilometers
C. Micrometers
D. Milligrams
Answer Explanation
The length of the chair could be appropriately measured in centimeters. Kilometers are used to measure long distances while micrometers could be used to measure the length of small microorganism in microbiology lab. However, milligrams are used to measure the masses of small quantities.
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Q #7: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 10 feet and a hypotenuse of 24 feet? (Round to the nearest tenth.)
A. 21.8 feet
B. 25 feet
C. 13.6 feet
D. 17.7 feet
Answer Explanation
Let the unknown length of the x. The resulting triangle is shown below.
We use the Pythagoras theorem as follows to find the unknown value of x as:
Thus, the value of unknown side of the triangle is 21.8 feet.
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Q #8: As the dollar rate increases in a day, the amount of investment, stock prices, and forex exchange deposit available also decreases. Which of the following is the independent variable?
A. Amount of investment
B. Dollar rate
C. Stock prices
D. Forex exchange deposit
Answer Explanation
Based on the given scenario, the outcome of measuring the daily dollar rate is the decline in investment, stock prices, and forex exchange. The three outcomes are dependent variables while the dollar rate is the independent variable.
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Q #9: A recipe calls for 2/9 cup of flour for every 1 2/5 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 12 1/5 cups
B. 12 3/5 cups
C. 8 1/25 cups
D. 10 3/25 cups
Answer Explanation
The number of cups of milk to make a bigger batch, we proceed as follows:
First convert the mixed number 1 2/5 as
Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator
Find the value of x by cross-products
2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.
Per means division. The above equation becomes
When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus
The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.
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Q #10: Which of the following is the appropriate unit of a measure to express the weight of a mobile phone?
A. Liter
B. Milliliter
C. Gram
D. Milligram
Answer Explanation
Here, we are required to find the unit of measuring mass. The SI unit of mass is kilogram but other derived units are grams, milligrams, microgram and more.
A kilogram is a large quantity for measuring heavier objects but grams can used to measure small and light objects such as the mass of the mobile phone. Therefore, gram is the appropriate unit for measuring weight of a mobile phone.
