Question

What is the number if the algebraic expression is "2(x - 6) + 2 = 8"?

A) 3
B) 2
C) 4
D) 5

2. What is the number if the algebraic expression is "30 / (7x) = 1"?
A) 4
B) 5
C) 6
D) 7

Answer 1

To find the value of the variable x in the algebraic expression 2(x - 6) + 2 = 8, distribute the 2 and simplify the equation step by step. The value of x is 9. For the algebraic expression 30 / (7x) = 1, multiply both sides by 7x and solve for x. The value of x is approximately 4.29.

Step-by-step explanation:

To find the value of the variable in the algebraic expression 2(x - 6) + 2 = 8, we need to simplify and solve the equation step by step. Here's how:

1. Distribute the 2 outside the parentheses to the terms inside: 2x - 12 + 2 = 8
2. Combine like terms on the left side: 2x - 10 = 8
3. Add 10 to both sides of the equation: 2x = 18
4. Divide both sides by 2 to isolate the variable: x = 9

Therefore, the value of the variable x in the algebraic expression is 9.

For the second question, the algebraic expression 30 / (7x) = 1 can be solved by following these steps:

1. Multiply both sides by 7x to eliminate the denominator: 30 = 7x
2. Divide both sides by 7 to solve for x: x = 30 / 7
3. Simplify the fraction: x = 4.29

Hence, the value of the variable x in the algebraic expression is approximately 4.29.