Select the TWO expressions below that are equivalent to 5(x + 3) - 4(2 points) Responses 5x - 1 5x - 1 5x + 15 - 4 5x + 15 - 4 5x - 5 5x - 5 5x + 11 5x + 11 5x + 3 - 4
The two equivalent expressions are:
1) 5x - 1
2) 5x + 15 - 4
To determine the expressions that are equivalent to 5(x + 3) - 4, we need to simplify the given expression step-by-step.
Step 1: Distribute the 5 to both terms inside the parentheses:
5 * x = 5x
5 * 3 = 15
The expression becomes: 5x + 15 - 4
Step 2: Combine like terms:
(5x + 15) - 4 = 5x + 15 - 4
Simplifying further, we have: 5x + 11
Therefore, the two expressions that are equivalent to 5(x + 3) - 4 are:
1. 5x + 11
2. 5x + 11
To determine which expressions are equivalent to 5(x + 3) - 4, we need to simplify the given expression by distributing the multiplication and then combining like terms. Let's go through the process step by step.
Given expression: 5(x + 3) - 4
First, we can use the distributive property to multiply 5 by each term inside the parentheses:
5 * x = 5x
5 * 3 = 15
So, the expression becomes: 5x + 15 - 4
Next, we combine like terms. The terms 15 and -4 are constants, so we can combine them:
15 - 4 = 11
Now, the simplified expression is: 5x + 11
Therefore, the expression "5x + 11" is equivalent to 5(x + 3) - 4.