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Solve for z in the equation above.

A. z=rwy+x

B. z=rw+(y/x)

C. z=y(x+rw)

D. z=rw-(y/x)

Answer Explanation:

We are asked to make z the subject of the formula.

First, we subtract y/x from both sides of the equation

Thus, the formula for finding the value of z is  .

Therefore, the Correct Answer is D.

More Questions on TEAS 7 Math

  • Q #1: 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

    Answer Explanation

    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.

  • Q #2: There are 800 students enrolled in four allied health program at a local community college. The percent students in each program is displayed in the pie chart. Which of the following is the number of students enrolled in the dental hygiene program?

    A. 168

    B. 144

    C. 336

    D. 152

    Answer Explanation

    we are to use the pie chart to find the number of students enrolled in dental hygiene care.

    Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,

    We solve the value of x by cross-products.

    Therefore, 144 students will enroll for a dental hygiene program.

  • Q #3: Which of the following is the appropriate unit of a measure to express the weight of a sheet of paper?

    A. Liter

    B. Milliliter

    C. Gram

    D. Kilogram

    Answer Explanation

    We required to find the units of finding the weight of a sheet of paper. The SI unit of mass of an object is kilogram. However, kilogram is a large quantity that cannot be used to measure smaller objects.

    Thus, derived units of mass are used to find the mass of other objects. In this case, the mass of a sheet paper can be recorded in grams.

  • Q #4: A teacher has asked all the students in the class which days of the week they get up after 9 a.m. which of the following is the best way to display the frequency for each day of the week?

    A. Bar graph

    B. Pie graph

    C. Scatter plot

    D. Histogram

    Answer Explanation

    A histogram will be appropriate to represent the time the students wake up every day of the week. The histogram is used to represent the frequency of the variable with another variable. In our case the vertical axis will represent the number of students (frequency) while the time of waking up on the horizontal axis.

  • Q #5: A bucket containing 3 3/5 gallons of water is 2/3 full. How many gallons of water is in one fully filled bucket?

    A. 13/15

    B. 6 7/15

    C. 8 2/5

    D. 5 2/5

    Answer Explanation

    we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.

    Letting x be the number of gallons in full tank and setting the proportion equation with 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.

    x 1 full tank=185 gallons23full tank

    A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.

  • Q #6: Which of the following values is the greatest?

    A. 25/2

    B. 12.35

    C. 40/3

    D. 11.46

    Answer Explanation

    To find the greatest number from the given set, we first convert the decimal numbers into fractions.

    12.35 becomes 1235/100

    11.46 becomes 1146/10

    Then, the LCM for the denominators of the given fractions of 2, 100, 3 and 10 is 300. Now we multiply each fraction with 300, which we will use to compare the give set.

    25/2*300=3750

    1235/100*300=3705

    40/3*300=4000

    1146/10*300=3438

    From the calculated values, 4000 is the greatest value. Then, 40/3 is the greatest value.

  • Q #7: Which of the following is the mean of the test scores listed below? 99, 93, 67, 48, 92, 87

    A. 67

    B. 48

    C. 99

    D. 81

    Answer Explanation

    the mean of a data set is the sum of the scores divided by the number of tests.

    Total test scores =99+93+67+ 48+ 92+ 87=486

    Number of tests =6

    Mean test score =486/6=81

    The mean test score is 81.

  • Q #8: Which of the following is an appropriate unit of measure to express the length of a width of a window?

    A. Hectometers

    B. Kilometers

    C. Centimeter

    D. Liters

    Answer Explanation

    The SI units of measuring length is meter. However, a meter can be a large unit or small quantity depending what is being measured. Therefore, derived units of meters are used to measure the length of an object. In our case, centimeters is the appropriate unit to measure the width of the window.

  • Q #9: A baker is using a cookie recipe that call for 5 ¼ cups of flour to yield 40 cookies. How much flour will the baker need to make 120 cookies using the same recipe?

    A. 15 ¾ cups

    B. 5 7/8 cups

    C. 14 1/8 cups

    D. 15 ¼ cups

    Answer Explanation

    we are tasked to find the number of cups of flour that will be used to make 90 cookies.

    This is a proportion equation, and letting x be the number of cups of flour we set the equation as follows:

    Solve the value of x by cross-products

    Next, we convert the mixed fraction into improper fraction in order to carry out multiplication

    The baker needs 15.75 cups of flour to make 120 cookies.  15.75 in mixed fraction is  

  • Q #10: 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.