James’ uncle is thirteen less than three times James’ age. Which of the equations represents James’ uncle’s age (m) as it relates to James’ (n)?
A. m=13-3n
B. n=3m-13
C. m=13-3n
D. m=3n-13
in this case, we express James’ uncle’s age in terms of James’ age. From the equation:
James’ age is n
James’s uncle’s age is m=3n-13
Thus, the relation that relates James’ uncle’s age in terms of James’ age is m=3n-13.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: A bag contains six green balls, three red balls, and five yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is red?
A. ½
B. 5/14
C. 3/7
D. 3/14
Answer Explanation
To find the probability of an event, we use the following the formula
To find the probability of drawing the red ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=6+3+5=14 balls
The probability of drawing a red ball from the bag is 3/14.
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Q #2: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 1.5 feet above the sidewalk?
A. 22 feet
B. 19.5 feet
C. 32.5 feet
D. 18 feet
Answer Explanation
The slope represents the ratio of rise to run. Let p be the minimum length of the ramp, we can set a ratio equation as follows. Then,
The minimum length of the ramp needed is 18 feet to access to a door that is 1.5 feet above the sidewalk.
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Q #3: 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 14 feet? (Round to the nearest tenth.)
A. 6 feet
B. 15.6 feet
C. 9.8 feet
D. 20 feet
Answer Explanation
The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows.
The value of x is found as:
The value of the unknown leg side of a triangle is about 9.8 feet.
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Q #4: Which of the following is the best approximation of 6 times the positive square root of 42?
A. 60.3
B. 44.7
C. 30.0
D. 38.9
Answer Explanation
In this case, we use a calculator to estimate the positive square root of 42.
Then, multiplying the square root above with 6 becomes
Then, the approximate value of 6 time the positive square root of 42 is 38.9.
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Q #5: A child has a bottle full of pennies, nickels, dimes, and quarters. There are four as many quarters as pennies, two times as many as nickels as pennies, and seven times as many dimes as nickels. How many more dimes does the child have than nickels?
A. 7 times as many
B. 5 times as many
C. 2 times as many
D. 10 times as many
Answer Explanation
This problem asks us to compare the number of dimes to nickels.
If we let p be number of pennies in the bottle. Then,
Number of quarters in the bottle = 4p
Number of nickels in the bottle = 2p
Number of dimes in the bottle =7(2p)=14p
To find the number of dimes the child has than nickels, we use the ratio:
\(\frac{Dimes}{nickels} =\frac {14p}{2p}\ =\ 7\)
Thus, there are 7 times as many dimes as nickels in the box.
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Q #6: To determine the cost of a phone, the seller considers the brand name, size of the RAM, and size of the battery. Which of the following is the dependent variable?
A. Cost of a phone
B. Brand name
C. Size of the RAM
D. Size of the battery
Answer Explanation
A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change in brand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.
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Q #7: A recipe calls for 3.4 teaspoons of milk. 1 teaspoon equals approximately 5 mL. Which of the following is the correct amount of milk in mL?
A. 16.8 mL
B. 17.0 mL
C. 10.5 mL
D. 6.8 mL
Answer Explanation
we are asked to find the amount of milk in mL using the given information.
If we let x represent the amount of milk in mL, we set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.
A recipe of 3.4 teaspoons is equal to 17.0 mL.
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Q #8: Which of the following is the decimal form of 67.9%?
A. 67.9
B. 6,790
C. 0.679
D. 8.75
Answer Explanation
percentages are fractions with denominator equal to 100. Then, in decimal form:
The decimal form of 67.9% is 0.679.
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Q #9: Soft Drinks Shop Orange: Two 24-packs for $15; one 24-pack for $9 Root Beer: One 24-pack for $14 Cream Soda: One 12-pack for $5 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 2 pack of Orange and 2 packs of Cream Soda
B. 3 packs of Root Beer
C. 1 pack of orange, 2 packs of Root Beer and 1 pack of Cream Soda
D. 4 packs of cream Soda
Answer Explanation
Choice A: 2 packs of Orange and 2 packs of Cream Soda
- Total drinks: 48 + 24 = 72 drinks
- Total cost: (2 * $15) + (2 * $5) = $30 + $10 = $40
- This choice not only meets the requirement of at least 60 drinks but also offers the best value in terms of cost per drink, making it the most cost-effective option.
Choice B: 3 packs of Root Beer
- Total drinks: 3 * 24 = 72 drinks
- Total cost: 3 * $14 = $42
- While this choice meets the requirement of at least 60 drinks, it's not the most cost-effective, as it costs $42 for 72 drinks.
Choice C: 1 pack of Orange, 2 packs of Root Beer, and 1 pack of Cream Soda
- Total drinks: 24 + 48 + 12 = 84 drinks
- Total cost: $9 + (2 * $14) + $5 = $9 + $28 + $5 = $42
- This choice provides more than 60 drinks, but it's not the most cost-effective due to its higher cost of $42, same as choice B.
Choice D: 4 packs of Cream Soda
- Total drinks: 4 * 12 = 48 drinks
- Total cost: 4 * $5 = $20
- While this choice is the most cost effective, it falls short of providing the desired number of drinks.
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Q #10: Which of the following is the decimal equivalent of 9/20?
A. 0.45
B. 3.4
C. 3.57
D. 0.18
Answer Explanation
9/20 is the same as 9 divided by 20, which is evaluated 9÷20. The value becomes 0.45.
Thus, 9/20 is equal to 0.45.
