Question

Write an equivalent expression for 6x+5y+7x

Answer 1

Answer:

(a)

Given the expression: $6x+5y+7x$

to find the equivalent expression:

Like terms states that in algebraic expressions, like terms are terms that contain the same variables raised to the same power.

Here, 6x and 7x are like terms

then:

by combine like terms in the given expressions we get;

$14x+5y$

Therefore, the equivalent expression of $6x+5y+7x$ is $14x+5y$

(b)

Given the expression:  4g +2

Distributive property states that when a number is multiplied by the sum of two numbers, then the first number can be distributed to both of those numbers and multiplied by each of them separately.

i.e $a\cdot (b+c) = a\cdot b+a\cdot c$

$4g+2 = 2\cdot 2g + 2 \cdot 1$

by distributive property:

$4g + 2 = 2\cdot (2g+1)$

therefore, the equivalent expression of 4g +2 is, 2(2g+1)