The width of a rectangle is 4 inches (in) and the area of the rectangle is 32 in2. Which of the following is the length of the rectangle?
A. 8 in
B. 28 in
C. 36 in
D. 128 in
We need to find the length of the rectangle from the given area and width of the rectangle. Let L be length if the rectangle. Then,
Area of rectangle=Length*width
Substituting area=32 in2 and w=4 inches
32=L*4
32=4L
Divide both sides by 4
32/4=4L/4
8=L
The length of the rectangle is 8 inches.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: A lab scale weighs 3 pounds, 5 ounces. Which of the following is the scale's weight in ounces(oz)?
A. 29 oz
B. 41 oz
C. 35 oz
D. 53 oz
Answer Explanation
We convert the given weight in pounds to ounces and find total weight. 1 pound=16 ounces, which we interpret as
Or
Use the second option to convert pounds to ounces
Now, we can ounces to ounces as: 48 oz + 5 oz= 53 oz
Therefore, 3 pounds, 5 ounces is equal to 53 oz
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Q #2: A farmer needs to buy fertilizer for his farmland. The instructions on the bag of the fertilizer say 49.5 pounds of fertilizer is needed for 1 acre of land. The farmer buys 2,000 pounds of fertilizer. Which of the following is the approximate number of acres he can cover with the fertilizer he bought?
A. 40
B. 120
C. 300
D. 1000
Answer Explanation
From the given problem,
49.5 pounds of fertilizer is needed to farm 1 acre of land. This can be interpreted as:
Or
Now we are needed to find the acres of land that will be farmed using 2000 pounds of fertilizers. To solve this, we use the second option as follows:
2000 pounds of fertilizers can farm approximately 40 acres of land.
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Q #3: A local law school reports that 74% of last year's graduates are employed by law firms, 3% work for the government and 2% work for nonprofit organizations. The rest of the graduates work at jobs unrelated to law. Based on these outcomes, which of the following is the percentage of graduates working jobs unrelated to law?
A. 5%
B. 79%
C. 69%
D. 21%
Answer Explanation
Percentages always add up to 100%. If we let x be the percent of graduates working for jobs unrelated to law, then
74%+3%+2%+x=100%
79%+x=100%
Subtract 79% from both sides of the equation
79%-79%+x=100%
x=100%-79%
x=21%
So, the number of graduates working for jobs unrelated to law is 21%.
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Q #4: A bakery sells three varieties of muffins. On a recent morning, the bakery sold 41 blueberry muffins, 27 banana nut muffins, and 20 black muffins. Estimate the total number of muffins sold.
A. 70
B. 90
C. 80
D. 100
Answer Explanation
total muffin is equal to the sum of the different muffins sold.
Total muffins=41+27+20=88 muffins
Thus, the bakery sold about 90 muffins.
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Q #5: Which of the following is 3/8 divided by 5/8?
A. 10/9
B. 9/10
C. 3/5
D. 5/12
Answer Explanation
When dividing fractions, the division sign is changed into multiply sign and the first fraction is multiplied by the inverse of the second fraction.
Change division to multiply sign and find invers of 5/8. The inverse of a fraction is inverting the given fraction. The denominator becomes the numerator and the numerator becomes the denominator.
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Q #6: What is the area of a square that measures 3.1m on each side?
A. 12.4m2
B. 9.61m2
C. 6.2m2
D. 9.1m2
Answer Explanation
Here we are required to find the area of the square of sides 3.1 m. The square is a four-sided figure with each side equal and opposite sides making 90 degrees.
Area of the square =side*side
Side=3.1 m
Area of the square=3.1 m *3.1 m=9.61 m2
Note: 3.1 + 3.1 = 6.2 which is a wrong answer.
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Q #7: 7x - 6= 3x - 26 Solve the equation above for x. Which of the following is the value for x?
A. -5
B. 6
C. 5
D. -8
Answer Explanation
Here we collect like terms together and solve for the unknown value of x.
7x-6=3x-26
Add 6 to both sides of the equation
7x-6+6=3x-26+6
7x=3x-20
Subtract 3x from both sides of the equation
7x-3x=-20
4x=-20
Divide both sides by 4
4x/-4=-20/4
x = -5
The value of x = -5
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Q #8: A pudding recipe for 50 people calls for 4 cups of sugar. Each bag of sugar contains 6 cups. How many bags of sugar will be needed to make this recipe for 300 people?
A. 8 bags
B. 13 bags
C. 4 bags
D. 24 bags
Answer Explanation
We need to perform a series of numerical dimensional analysis to find the number of bags sugar needed for 300 people.
We are told that 50 people need 4 cups of sugar. This can be interpretated as:
Or
Also, one bag of sugar contains 6 cups. This can also be presented as:
Or
We use the second option relating number of people and cups, and second option relating cups of sugar and bag of sugar to find for number of bags of sugar needed for 300 people.
Therefore, 300 people will need 4 bags of sugar.
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Q #9: Using the table below, which of the following statements describes the relationship between days and dollars?
A. There is a positive correlation between days and dollars
B. There is a negative correlation between days and dollars
C. There is an inverse correlation between days and dollars
D. There is no correlation between days and dollars
Answer Explanation
To answer this question, we need to observe the trend of the number of days with dollars. On day 2, the dollars were 8, after 5 days, the dollars decreased to 3, after 13 days, the dollars increased to 10. After 14 days, the dollars declined to 6 and again rose to 16 dollars after 19 days.
From this observation, we cannot be able to establish any correlation between days and dollars.
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Q #10: Which of the following options correctly orders the numbers below from least to greatest? 235.971, 145.884, -271.906, -193.823
A. -271.906, -193.823, 145.884, 235.971
B. -271.971, 235.971, -193.823, 145.884
C. 145.884, -193.823, 235.971, -271.906
D. -193.823, -271.906, 145.884, 235.971
Answer Explanation
From the given options, we can arrange the numbers from the smallest to the largest as:
-271.906, -193.823, 145.884, 235.971
From the above, it can be noted that -271 is less than -193 while 235 is more than 145.
