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7x - 6= 3x - 26 Solve the equation above for x. Which of the following is the value for x?

A. -5

B. 6

C. 5

D. -8

Answer Explanation:

Here we collect like terms together and solve for the unknown value of x.

7x-6=3x-26

Add 6 to both sides of the equation

7x-6+6=3x-26+6

7x=3x-20

Subtract 3x from both sides of the equation

7x-3x=-20

4x=-20

Divide both sides by 4

4x/-4=-20/4

x = -5

The value of x = -5

Therefore, the Correct Answer is A.

More Questions on TEAS 7 Math

  • Q #1: Which of the following is the value of x in the equation below? 4x- 3- 5x=24

    A. -27

    B. -6

    C. 3

    D. 21

    Answer Explanation

    to solve for x, we order like terms together and proceed as follows:

    4x-3-5x=24

    Add 3 to both sides of the equation

    4x-3+3-5x=24+3

    4x+3-3-5x=27

    4x-5x=27

    -x=27

    Divide both sides by -1

    -x/-1=27/-1

    x= -27

    Thus, the unknown value of x is -27

  • Q #2: Which of the following values is the greatest?

    A. 9/2

    B. 10/3

    C. 4.4

    D. 4.25

    Answer Explanation

    We are given a mix of fractions and decimals and to compare the numbers, we convert the given decimals to fractions.

    4.4 becomes 44/10

    4.25 becomes 425/100

    Now the set of fractions for comparison are: 9/2, 10/3, 44/10, and 425/100. The least common denominator for 2, 3 and 10 is 300. Then,

    9/2*300=1350

    10/3*300=1000

    44/10*300=1320

    425/10*300=1275

    From the above products, 9/2 gives the greatest value when the fractions are compared with the least common denominator of the given denominators.

  • Q #3: A recipe calls for 2.5 teaspoons of vanilla, 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?

    A. 12.325 mL

    B. 5.32 mL

    C. 7.43 mL

    D. 0.507 mL

    Answer Explanation

    We are given that 1 teaspoon=4.93 mL, we can interpret it as:

    Or

    Since we are to find the amount in mL, we look for an option that will cancel teaspoon and remain with mL. The second option is the required conversion, and we proceed as follows:

    Therefore, 2.5 teaspoons hold about 12.325 mL.