Kwame’s uncle is seventeen less than three times Kwame’s age. Which of the equations represents Kwame’s uncle’s age (u) as it relates to Kwame’s age (k)?
A. u=17-3k
B. k=3u-17
C. k=17-3u
D. u=3k-17
We are asked to find the Kwame’s uncle’s age in terms of Kwame’s age.
First, we need to find the age of Kwame, which is k. Then, we know that Kwame’s uncle’s age is three times that of Kwame less 17. Then,
Kwame’s uncle’s age, u = 3k-17.
Thus, the relation that relates Kwame’s uncle’s age to that of Kwame is u=3k-17.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: A circle has an area of 49 in2. Which of the following is the circumference of the circle in terms of pi ( )?
A. 7 π in
B. 14 π in
C. 28 π in
D. 3.5 π in
Answer Explanation
We need to find the circumference of the circle from the given area.
To find the circumference, we need to find the radius of the circle from the given area.
Let r be the radius of the circle, and the area of the circle is given by
Substituting the value of area in the above equation becomes
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle is 7 in. and the circumference of the circle is given by the relation:
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Q #2: Which of the following is the equivalence in pounds for 50 kg? (2.2 lb=1 kg)
A. 52.2 lb
B. 22.7 lb
C. 110 lb
D. 220 lb
Answer Explanation
We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.
Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.
We find the value of x by cross-multiplication
The value of x is 110 lb.
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Q #3: Which of the following is the value of x in the equation below
A. x= -1/2 or x=3/2
B. x= -1 or x=2
C. x =-2 or x= 1
D. x= -3/2 or x= 1/2
Answer 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:
, a>0, then u=a or u=-aIn 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 -1 or 2.
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Q #4: Which of the following is the decimal equivalent of 7/25?
A. 0.28
B. 3.4
C. 3.57
D. 0.18
Answer Explanation
7/25 is the same as 7÷
25. The value becomes 0.28.Thus, 0.28 is the decimal equivalent of 7/25.
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Q #5: Which of the following is an appropriate unit of measure to express the length of a dollar bill?
A. Decameters
B. Kilometers
C. Centimeter
D. Meters
Answer Explanation
Centimeter is the appropriate unit to measure the length of a dollar bill.
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Q #6: A bucket containing 2 4/5 gallons of water is 1/3 full. How many gallons of water is in one fully filled bucket?
A. 14/15
B. 2 7/15
C. 8 2/5
D. 6 4/5
Answer Explanation
We are asked to find the number of gallons full tank can hold. The fraction of full tank is 1.
First, we let x be the number of gallons in full tank. Then, set the proportion equation by setting the number of gallons on the numerator and fraction of tank on denominator as follows.
Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.
Converting 42/5 to a mixed fraction is 8 2/5. Thus, when the tank is full, it holds 8 2/5 gallons of water.
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Q #7: A pharmaceutical company’s stock price was $50.33 on Monday. On Tuesday, the price went up $2.35. On Wednesday, the price decreased from Tuesday’s price by $1.07. On Thursday, the price went up $0.75 from Wednesday’s price. Which of the following was the final price on Thursday?
A. $54.50
B. $53.43
C. $52.36
D. $50.86
Answer Explanation
We need to find the price changes in each day of the week in order to find the price of the stock on Thursday.
Monday’s price was $50.33
Tuesday’s price went up by $2.35 from Monday’s price. The price was $(50.33+2.35)=$52.68
Wednesday’s price decreased by $1.07 from Tuesday’s price, and so the price of the stock was $(52.68-1.07)=$51.61
Thursday’s price increased by $0.75 from Wednesday’s price, which was $(51.61+0.75)=$52.36
Therefore, the price of the stock on Thursday was $52.36.
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Q #8: A recipe calls for 2.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 5.33 mL
B. 0.507 mL
C. 7.43 mL
D. 12.325 mL
Answer Explanation
We let x represent the amount of vanilla in mL, since this is what the question is asking us to find.
Next, we will set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.
Cross-multiply to find the value of x
A recipe of 2.5 teaspoons equals 12.325 mL.
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Q #9: Which of the following is the independent variable in the equation below? F(t) = 4t + 9
A. f
B. 9
C. t
D. 4
Answer Explanation
An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, t is an independent variable, which when changed changes the values of the f(t).
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Q #10: Which of the following is the best estimate of the number of centimeters (cm) in 1 yard? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A. 72 cm
B. 180 cm
C. 36 cm
D. 90 cm
Answer Explanation
We convert the given value in yard to the cm using the following set up.
The value 91.44 cm is close to 90 cm. Therefore, 1 yard is approximately 90 cm.
