Question

The sum of two and eight times a number is -134. What is the number?

A) Translate the statement above into an equation that you can solve to answer this question. Do not solve
it yet. Use z as your variable.
The equation is
B) Solve your equation in part [A] for x.
Answer: x =

Answer 1

A) 2 + 8x = -134

B) x = -17

Explanation:

Note: I am assuming the question says use x as a variable, not z. Otherwise part B does not make sense

If we let variable x be the number then
8 times a number ==> 8x

2 and 8 times a number ==> 2 + 8x

2 and 8 times a number is -134 ==> 2 + 8x = -134

A) Equation form is 2 + 8x = -134

B) Equation is
2 + 8x = -134

Subtract 2 from both sides:
2 - 2 + 8x = -134 - 2
8x = -136

Divide both sides by 8 to give
8x/8 = -136/8
x = - 17