Question

An equation is shown below:

-2(4x - 1) - 7 = 5

Which statement shows a correct next step in solving the equation?

The equation can become -2(4x - 1) = -2 by applying the distributive property.

The equation can become -2(4x - 1) = 12 by applying the addition property of equality.

The equation can become -2(4x - 1) = 12 by applying the commutative property of addition

The equation can become -2(4x - 1) = -2 by applying the subtraction property of equality.

Answer 1

Please help

Answer 2

@nincompoop

Answer 3

@noseboy908 can you help

Answer 4

To solve this, think about what happened to the right side of the equation to move the "-7" over. What does one do to eliminate it from the left side?

Answer 5

you would have to do the opposite

Answer 6

Yep. What is the opposite function of "-7"?

Answer 7

7

Answer 8

You are correct, I think, but make sure to put the addition sign in front of it. It is assumed, but it's just good form to do so.

Answer 9

ok srry

Answer 10

Not a problem, it simply helps with combining parts. Now, since you seem to know somewhat about simplifying these equations, how do you move the -7 to the right? What is done to the 5?

Answer 11

?

Answer 12

Do what you did before: do the opposite of what's being done on a number to both sides. You're presently subtracting 7, so what's the opposite of that?

Answer 13

i do not know

Answer 14

@dan815

Answer 15

please help

Answer 16

You told me before what the opposite of -7 is. Just restate that.

Answer 17

i still do not understand

Answer 18

Just restate what you said was the opposite function of "-7". You literally just need to scroll up.

Answer 19

oh 7

Answer 20

i mean +7 sorry

Answer 21

Yes. So knowing that, add 7 to both sides. What is the equation once you do so?

Answer 22

i do not know

Answer 23

Just try to do as I instruct: Add 7 to both sides of "-2(4x - 1) - 7 = 5". On the left, you're adding 7 to -7. On the right, you're adding 7 to 5.

Answer 24

-2(4x-1) - 7 = 5 + 7

Answer 25

Where's the 7 you add to the left side?

Answer 26

i do not know where it is supposed to be

Answer 27

You just have to add it to the -7 already there. It cancels out.

Answer 28

so show me where you put it

Answer 29

ok

Answer 30

Now simplify the right side. Add the two values.

Answer 31

is it 12

Answer 32

Correct, which leaves only two possible answers. What's left is to decide if we used the communicative property or the addition property. So ask yourself this: Did we simply show how when adding two values together, it does not matter what order they're in, or did we show how to add in an inequality?

Answer 33

we simplified how when adding two values together

Answer 34

You might have it, I just don't understand how you worded it. Which of the two possibilities did we do? Try to word it as I have, for clarity sake.

Answer 35

communicative property i think right

Answer 36

Did we show how if A + B can be rewritten as B+A, for example? That is the communicative property.

Answer 37

ok?

Answer 38

I ask again, did we show how the order of a addition problem does not matter? Yes or no?

Answer 39

no

Answer 40

Correct. And that is the definition of the communicative property. Thus, what is our answer?

Answer 41

no

Answer 42

no what????

Answer 43

oh our answer communicative property

Answer 44

We just eliminated that as a solution.

Answer 45

oh so it is addition property

Answer 46

Yes, but I fear that you guessed. Can you explain why it's the addition property?

Answer 47

because we showed the order of the addition problem does not matter

Answer 48

i mean does sorry

Answer 49

No, that's the reason that it was not communicative. Why is it addition?

Answer 50

i don't know then to be honest i just felt that it was

Answer 51

Think about it, what did we do to simplify the equation in the beginning? What function?

Answer 52

we used addition

Answer 53

Yes. That, in short, is why we used the addition property. We'd of used the comm. property if we showed how the parts of an addition problem can be moved w/o changing the answer, but we didn't.

Answer 54

ok thank you may i ask a few more questions please

Answer 55

Ask.

Answer 56

ok

Answer 57

An equation and the steps to solve it are shown below:

2x - one over four (12x + 4) = 3

Step 1: 2x + 3x + 1 = 3
Step 2: 5x + 1 = 3
Step 3: 5x + 1 - 1 = 3 - 1
Step 4: 5x = 2

In which step was the error made and why?

Step 1, because incorrect signs have been used

Step 2, because the terms have been added incorrectly

Step 3, because a number has been subtracted from both sides of the equation

No error was made

Answer 58

are you still there

Answer 59

Yep

Answer 60

\[2x-(1/4)(12x+4)=3\]

Answer 61

Is that it?

Answer 62

no

Answer 63

you have to answer the question that it says

Answer 64

I am aware of that. I'm asking if that is the original equation.

Answer 65

yes

Answer 66

Then start by simplifying. What do you get after you distribute? Try to not look at their steps.

Answer 67

do parentheses first

Answer 68

Yes, but what is the result?

Answer 69

i don't know i am not very good at these kind of equations

Answer 70

When you distribute, you have to, in this equation, apply the multiplication factor (1/4 here) to all parts within the parenthesis. Example to follow.

Answer 71

ok

Answer 72

\[1/2(10x-8) distributes \to5x-4\]

Answer 73

ok

Answer 74

So try to distribute 1/4 to 12x+4. What is the result?

Answer 75

i need help

Answer 76

Distribute by multiplying each part of "12x+4" by 1/4. AKA, divide each part by 4.

Answer 77

ok so it would be 12x+1

Answer 78

You got the second part right, but make sure to divide the 12 too.

Answer 79

3x+1

Answer 80

right

Answer 81

Completely. Now please restate the equation I wrote out, with 3x+1 in place of 1/4(...)

Answer 82

ok 2x-1/4(3x+1)=3

Answer 83

No, we already distributed teh 1/4, so it's gone now.

Answer 84

ok so take that out and that would be the equation right there right?

Answer 85

Yes. Please restate it as so.

Answer 86

i am very sorry i am in a hurry may you please tell me the answers flat out i am not trying to take advantage but please i am in a rush to finish this, because i have to do something really important to me

Answer 87

I'll never just given answers, but I can give you the steps for finishing this one: Rewrite the equation as we've gotten it thus far, after distributing. Look for errors. If there is none, then keep simplifying until you either find one or decide there is none.

Answer 88

its fine i will just have to wait sadly lets just keep on going

Answer 89

Then go ahead and restate the equation after you distribute.

Answer 90

ok

Answer 91

2x-(3x+1)=3