Question

2)Kendra is 3 times her daughter's age plus 7 years, Kendra is 49 years old. Write an equation to find her daughter's age. (2)​

Answer 1

Equation: 49 = 3x + 7

Answer: x = 14

Explanation:

Let Kendra's daughter's age be denoted by the variable, x.

Set the equation. Note that:

Kendra is 49 years old.

Kendra is 3 times her daughter's age (x) plus 7 years.

Equation: 49 = 3x + 7

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 7 from both sides of the equation:

49 (-7) = 3x + 7 (-7)

49 - 7 = 3x

42 = 3x

Next, divide 3 from both sides of the equation:

(42)/3 = (3x)/3

x = 42/3

x = 14

14 is your answer.

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