Question

Write and solve the equation.

The sum of a number and twelve is thirty-five.



Which equation and solution is correct?
Write the equation as x – 12 = 35 and add 12 to both sides. The answer is 47.
Write the equation as x + 12 = 35 and subtract 12 from both sides. The answer is 23.
Write the equation as x + 12 = 35 and subtract 12 from 12. The answer is 35.
Write the equation as x – 12 = 35 and add 12 to 12. The answer is 24.

Answer 1

B

Explanation:

Edge 2020

Answer 2

Write the equation as x + 12 = 35 and subtract 12 from both sides. The answer is 23.

Explanation:

"Sum" indicates addition. So, "the sum of a number and 12" means ...

x + 12 . . . . . . when x is used to represent "a number."

"Is" in this context means "equals". So, the direct translation from English to Math is ...

the sum of a number and 12 is 35

x + 12 = 35

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This is most easily solved by adding the opposite of 12 to both sides of the equation. Adding -12 is the same as subtracting 12. We do this to both sides, because that is required by the addition/subtraction property of equality.

x +12 -12 = 35 -12

Simplifying gives the solution:

x = 23

Comparing this process to the answer choices, we select ...

Write the equation as x + 12 = 35 and subtract 12 from both sides. The answer is 23.