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TEAS 7 Math Custom TEAS Math Practice Test 1 Which of the following is the length of ...

Which of the following is the length of the unknown leg of a right triangle that has one leg length of 5 feet and a hypotenuse of 17 feet? (Round to the nearest tenth.)

A. 18 feet

B. 14.4 feet

C. 9.8 feet

D. 16.2 feet

Answer Explanation:

We are asked to find the one of the lengths of a right-angled triangle, we use the Pythagoras theorem to find the unknown length.

First, we label the triangle as below and let the unknown length be x.

Then, we apply the Pythagoras theorem to find the value of x as:

We take square-root on both sides

The value of the unknown length is 16.2 feet.

Therefore, the Correct Answer is D.

More Questions on TEAS 7 Math

  • Q #1: Which of the following is the value of x in the equation below? (left|3x-7 ight|-13=2)

    A. x = 21/3, x=22/3

    B. x = 7/3, x=9/3

    C. x = 15/2, x=9/3

    D. x = 22/3, x=-8/3

    Answer Explanation

    1. Add 13 to both sides to isolate the absolute value term, resulting in ( left|3x-7 ight|= 15)

    2. Consider two cases:

      • When  (+(3x-7)) is positive, solve for x to get (3x = 15 + 7) then (3x=22) (finally x=frac{22}{3})
      • When (-(3x-7)) is negative (but the absolute value makes it positive). Solve for x to get (-3x = 15 - 7) then (-3x=8) (finally x=- frac{8}{3})

    So, there are two possible solutions: (x=frac{22}{3} or x=- frac{8}{3})

  • Q #2: A motor company’s stock price was $33.20 on Tuesday. On Wednesday, the price went up $2.45. On Thursday, the price decreased from Wednesday’s price by $1.50. On Friday, the price went up $1.62 from Thursday’s price. Which of the following was the final price on Friday?

    A. $35.65

    B. $34.15

    C. $35.77

    D. $34.82

    Answer Explanation

  • Q #3: The data below represents students’ test scores. Which of the following is the median of the set data? 80, 76, 92, 96, 44, 86, 56, 93, 69

    A. 86

    B. 69

    C. 44

    D. 80

    Answer Explanation

    Explanation: the median of a data set is the element that is found on the middle position.

    To find median, organize the given data from the smallest to largest.

    44, 56, 69, 76, 80, 86, 92, 93, 96

    Now, the number of elements in the date set is 9, which is an odd number. The median falls in the position

    (N+1)/2=(9+1)/2=10/2=5.

    The number that falls in the 5th position is 80. Thus, 80 is the median of the data.

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