Questions: Evaluating Algebraic Expressions Quiz HS Pre Algebra - Semester 1 - CAD/PAY (Fall 2024) / Integers and Expressions 2. You buy a pair of jeans () that cost 12, two pair of socks (s) for 2 each, and three tops (t) that cost 6 each. Which expression represents this situation and how much did you spend? ○ 1 + 2s + 3t = 34 ○ 3j + 2s + 1 = 36 Previous 2 of 5 Next

Solution Steps

To solve this problem, we need to create an algebraic expression that represents the total cost of the items purchased. We will then calculate the total cost by substituting the given values for each item into the expression.

1. Identify the cost of each item:

   • Jeans (j) cost $12.
   • Socks (s) cost $2 each, and you buy 2 pairs.
   • Tops (t) cost $6 each, and you buy 3 tops.

2. Formulate the expression for the total cost:

   • Total cost = cost of jeans + cost of socks + cost of tops.

3. Substitute the given values into the expression to find the total amount spent.

Let:

• \( j = 12 \) (cost of jeans)
• \( s = 2 \) (cost of each pair of socks)
• \( t = 6 \) (cost of each top)

The total cost can be expressed as: \[ \text{Total Cost} = j + 2s + 3t \] Substituting the values: \[ \text{Total Cost} = 12 + 2(2) + 3(6) \]

Calculating each term: \[ \text{Total Cost} = 12 + 4 + 18 \] Now, summing these values: \[ \text{Total Cost} = 34 \]

Final Answer