6
algebra

If x+7=22x + 7 = 22, what is the value of xx?

A

3.14

B

29

C

15

D

7

Correct Answer: C

Choice Bhoice D is the correct answer. We subtract the constant to isolate the variable.

  1. Start with the equation: x+7=22x + 7 = 22
  2. Subtract 7 from both sides: x=227x = 22 - 7
  3. Calculate: x=15x = 15
  4. Verify: 15+7=2215 + 7 = 22

This problem reinforces the standard pattern for solving one-step addition equations.

Choice Bhoice D is incorrect because this results from adding instead of subtracting: 22+7=2922 + 7 = 29. This is the opposite of what we need.

Choice Bhoice C is incorrect because this confuses the constant (7) with the solution. Just because 7 appears in the equation doesn't mean x=7x = 7.

Choice Bhoice C is incorrect because this results from dividing: 2273.14\frac{22}{7} \approx 3.14 (which happens to be close to π\pi). Division is not relevant for this equation.