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4(x-5)=8 Solve the equation above for x. Which of the following is the correct answer?

A. ¾

B. 3 ¼

C. -3

D. 7

Answer Explanation:

In order to solve for the value of x, we use the order of operations as follows:

The first step is to divide both sides by 4

Since 5 is subtracted, we add 5 to both sides to eliminate it from the left-hand side of the equation

Thus, the value of x is 7.

Therefore, the Correct Answer is D.

More Questions on TEAS 7 Math

  • Q #1: If x represents the width of a rectangle and length is four less than three times the width, which of the following expressions represents the length of the rectangle in terms of x?

    A. 4-3x

    B. 3-4x

    C. 4x-3

    D. 3x-4

    Answer Explanation

    To form an equation from the word problem, first break the given statement into smaller statements.

    First, we are given the width of the rectangle as x. We are told, the length is three times width. Mathematically, this means

    Length=3*width=3*x=3x

    Again, the length is 4 less than 3 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:

    Length =3x-4

    This is the required equation.

  • Q #2: A teacher has asked all the students in the class which days of the week they get up after 8 a.m. Which of the following is the best way to display the frequency of each day of the week?

    A. Histogram

    B. Scatterplot

    C. Pie graph

    D. Bar graph

    Answer Explanation

    The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using a bar graph. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.

    Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week. Histograms are useful for understanding the distribution of data, identifying patterns, and assessing the shape of the data distribution, such as whether it's normally distributed, skewed, or has multiple modes.

    As you can see below, the Histogram is used to depict a pattern/continuous/range data. While a bar graph does just fine even with discrete data.

  • Q #3: Which of the following is the greatest value?

    A. 34÷96

    B. 3/8

    C. 0.372

    D. 37%

    Answer Explanation

    we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.

    34÷96=

    3/8=3/8

    0.372=372/1000

    37%=37/100

    Now, we need to find the least common denominator of 48, 8, 1000, and 100, which is 6000. We multiply each fraction by 6000 as follows:

    17/48*6000=2125

    3/8*6000=2250

    372/1000*6000=2232

    37/100*6000=2220

    From the above calculations, arranging the fraction from the largest to the smallest in order is: 3/8, 372/1000,37/100, and 17/48.  Thus, the greatest value is 3/8.