Japheth’s uncle is 10 less than three times Japheth’s age. Which of the equations represents Japheth’s uncle’s age (u) as it relates to Japheth’s age (k)?
A. u=10-3k
B. u=3k-10
C. k=3u-10
D. k=10-3u
We are asked to determine Japheth’s uncle’s age relating to Japheth’s age.
First, express Japheth’s uncle’s age in terms of Japheth’s age as follows
Japheth’s age=k
Japheth’s uncle’s age, u = 3k-10.
Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=3k-10.
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
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Q #1: Soft Drinks Orange Two 24-packs for $10; one 24-pack for $8 Root Beer One 24-pack for $11 Cream Soda One 12-pack for $6 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 1 two-24 packs of Orange and 2 packs of Cream Soda
B. 3 one 24-pack of Orange
C. 1 packs of Root Beer and 3 packs of Cream Soda
D. 4 packs of cream Soda
Answer Explanation
To find the cheapest option, we determine how much the consumer will spend in each option given above:
1 two-24 packs of Orange and 2 pack of Cream Soda=1($10)+2($6)=$10+$12=$22
3 one 24-pack of Orange=3($8)=$24
1 pack of Root Beer and 3 packs of Cream Soda=1($11)+3($6)=$11+$18=$29
4 packs of cream Soda=4($6)=$24
The cheapest option is spending $22 and the most expensive one is $29. Thus, the consumer should consider buying 1 two-24 packs of Orange and 2 packs of Cream Soda.
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Q #2: 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 #3: 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.
