Question

Which of these expressions is equivalent to 3(x-2)?

a. 3x - 6
b. 3r - 2
c. 3x + 2
d. 3x + 6

Which of these expressions is equivalent to -2(x-5)?
a. -2x - 5
b. -2x + 5
c. -2x + 10
d. -2r - 10

For each expression, combine like terms and write an equivalent expression with fewer terms.
a. 7x
b. 8x + 4
c. 2x + 8
d. 3x - 5
e. 13x - 7

For each equation, find a value for x that makes the equation true.

Answer 1

The equivalent expressions for 3(x-2) and -2(x-5) are 3x-6 and -2x+10, respectively. The simplified expressions are 7x, 8x+4, 2x+8, 3x-5, and 13x-7.

Step-by-step explanation:

To simplify the expression 3(x-2), we distribute the 3 to both terms inside the parentheses. This gives us 3x - 6. Therefore, the equivalent expression is 3x - 6 (option a).

Next, to simplify the expression -2(x-5), we distribute the -2 to both terms inside the parentheses. This gives us -2x + 10. Therefore, the equivalent expression is -2x + 10 (option c).

Now, let's simplify the given expressions:

1. a. 7x
2. b. 8x + 4
3. c. 2x + 8
4. d. 3x - 5
5. e. 13x - 7

We have eliminated all like terms and simplified each expression as much as possible.