Question

If x = 4, and y = 3x + 5, then 2y - 1 equals

• A. 47
• B. 22
• C. 15
• D. 33
• E.

Hint:

This type of problem tests your ability to follow steps methodically. Don't try to combine the steps in your head. Write down the value of the intermediate variable (y) before moving on to the final calculation to avoid simple errors.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
This is a two-step algebraic evaluation problem. First, we need to find the value of y by substituting the given value of x. Second, we use that value of y to evaluate the final expression.
Step 2: Key Formula or Approach:
1. Substitute \(x=4\) into the equation \(y = 3x + 5\) to find the value of y. 2. Substitute the calculated value of y into the expression \(2y - 1\).
Step 3: Detailed Explanation:
Step 1: Find y
We are given \(x=4\). Substitute this into the equation for y: \[ y = 3(4) + 5 \] \[ y = 12 + 5 \] \[ y = 17 \]
Step 2: Evaluate 2y - 1
Now substitute the value \(y=17\) into the final expression: \[ 2y - 1 = 2(17) - 1 \] \[ = 34 - 1 \] \[ = 33 \] Step 4: Final Answer:
The value of \(2y - 1\) is 33.