Equivalent Expressions

1. Which algebraic expression is equivalent to the expression below?

3(x - 2) + 12(x + 8)

What are your choices?

3(x-2)+12(x+8)=

3*x-3*2+12*x+12*8=
3x-6+12x+96=
15x+90

3(x-2)+12(x+8)=15x+90

7(4x + 2y), which of these is an equivalent expression?

What are those

To find an algebraic expression that is equivalent to the given expression, we need to simplify it by applying the distributive property.

First, distribute the 3 to both terms inside the parentheses:
3(x) - 3(2) + 12(x) + 12(8)

This simplifies to:
3x - 6 + 12x + 96

Next, combine like terms by adding the coefficients of the same variables:
(3x + 12x) + (-6 + 96)

This can be further simplified to:
15x + 90

Therefore, the equivalent algebraic expression is 15x + 90.