Factor 60 y-90-20 x to identify the equivalent expressions. Choose 2 answers: A 5(14 y-16-4x) B 2(30-45-10) C 5(12 y-18-4x) D 10(6y-9-2x)

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms in the expression 60y - 90 - 20x. The terms are 60y, -90, and -20x. The GCF of 60, 90, and 20 is 10.Factor out GCF: Factor out the GCF from each term in the expression. Divide each term by the GCF (10) and write the factored expression. 60y ÷ 10 = 6y -90 ÷ 10 = -9 -20x ÷ 10 = -2x The factored expression is 10(6y - 9 - 2x).Check equivalent expressions: Check the answer choices to see which ones are equivalent to the factored expression 10(6y - 9 - 2x). Choice A: 5(14y - 16 - 4x) is not equivalent because when distributed, it does not give the original expression. Choice B: 2(30 - 45 - 10) is not equivalent because when distributed, it does not give the original expression. Choice C: 5(12y - 18 - 4x) is not equivalent because when distributed, it does not give the original expression. Choice D: 10(6y - 9 - 2x) is equivalent because when distributed, it gives the original expression 60y - 90 - 20x.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor
60 y-90-20 x to identify the equivalent expressions.
Choose 2 answers:
A
5(14 y-16-4x)
B
2(30-45-10)
C
5(12 y-18-4x)
D
10(6y-9-2x)

Factor $60 y-90-20 x$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ A $5(14 y-16-4 x)$ $\newline$ B $2(30-45-10)$ $\newline$ C $5(12 y-18-4 x)$ $\newline$ D $10(6 y-9-2 x)$

View step-by-step help

Home

Math Problems

Grade 7

Write variable expressions: word problems

Full solution

Q. Factor

60 y-90-20 x

to identify the equivalent expressions.

\newline

Choose

2

answers:

\newline

5(14 y-16-4 x)

\newline

2(30-45-10)

\newline

5(12 y-18-4 x)

\newline

10(6 y-9-2 x)

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms in the expression $60y - 90 - 20x$ . $\newline$ The terms are $60y$ , $-90$ , and $-20x$ . $\newline$ The GCF of $60$ , $90$ , and $20$ is $10$ .
Factor out GCF: Factor out the GCF from each term in the expression. $\newline$ Divide each term by the GCF ( $10$ ) and write the factored expression. $\newline$ $60y \div 10 = 6y$ $\newline$ $-90 \div 10 = -9$ $\newline$ $-20x \div 10 = -2x$ $\newline$ The factored expression is $10(6y - 9 - 2x)$ .
Check equivalent expressions: Check the answer choices to see which ones are equivalent to the factored expression $10(6y - 9 - 2x)$ . $\newline$ Choice A: $5(14y - 16 - 4x)$ is not equivalent because when distributed, it does not give the original expression. $\newline$ Choice B: $2(30 - 45 - 10)$ is not equivalent because when distributed, it does not give the original expression. $\newline$ Choice C: $5(12y - 18 - 4x)$ is not equivalent because when distributed, it does not give the original expression. $\newline$ Choice D: $10(6y - 9 - 2x)$ is equivalent because when distributed, it gives the original expression $60y - 90 - 20x$ .