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14 votes
HELP! 50 POINTS! 75 if I chose your answer as the best! easy!

HELP! 50 POINTS! 75 if I chose your answer as the best! easy!-example-1
HELP! 50 POINTS! 75 if I chose your answer as the best! easy!-example-1
HELP! 50 POINTS! 75 if I chose your answer as the best! easy!-example-2
HELP! 50 POINTS! 75 if I chose your answer as the best! easy!-example-3

2 Answers

7 votes

Question 1

There are 4 terms.

They are 4y, 6x^2, 5, and 9x.

Terms are separated by operation signs (+, -, ×, ÷).

Even if a constant is multiplied by a variable, if there isn't a multiplication sign, it's one single term.

Question 2

Use the distributive property. Multiply the term outside the variable by the terms inside.

4×6x = 24x

4×(-5)=-20 (there's a negative sign incase you don't see it)

24x-20-7x

Since 24x and 7x are like terms, you can subtract them.

24x-7x=17x

17x-20

You can see the first and second choices are correct.

Question 3

Combine the like terms.

The like terms are

3x and 11x

-8y and 5y

-4

Add them all.

3x+11x=14x

-8y+5y=-3y

-4

So the expression simplified is...

14x-3y-4

It's the third choice.

10 votes

Explanation:

Question 1:

In the expression 4y - 6x² + 5 + 9x, there are

4 terms. (4y/6x²/5/9x) A term consists of a coefficient and a variable, or otherwise a constant term like 5.

Question 2:

4(6x - 5) - 7x

= (24x - 20) - 7x

= 17x - 20.

Therefore the correct answers are

the 1st and 2nd options.

Question 3:

3x - 8y + 11x - 4 + 5y

= (3x + 11x) + (5y - 8y) - 4

= 14x - 3y - 4.

The 4th option is correct.

User Adenike
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