Math / Algebra

QuestionSelect all the expressions that represent the verbal the difference of 12 and $20 \%$ of a number $x$ $2.4 x$ $-0.2 x+12$ $12-20 x$ $12-0.2 x$ $-20 x+12$

Studdy Solution

STEP 1

What is this asking? We need to find which expressions show 12 minus 20% of some number x. Watch out! Don't mix up 20% with just 20!
Remember 20% means 20 out of 100!
Also, "difference" means subtraction, and the order matters!

STEP 2

1. Convert the percentage
2. Write the expression
3. Check the options

STEP 3

Let's change 20% into a decimal.
Remember, "percent" means "per hundred," so 20% is the same as $\frac{20}{100}$ .

STEP 4

To convert a fraction to a decimal, we divide the numerator (the top number) by the denominator (the bottom number).
So, $\frac{20}{100} = 0.2$ .
This is our percentage as a decimal.

STEP 5

The problem says "the difference of 12 and 20% of a number $x$ ”. "Difference" means subtraction.

STEP 6

We're subtracting 20% of $x$ from 12. "20% of $x$ " can be written as $0.2 \cdot x$ .
So, the whole expression is $12 - 0.2 \cdot x$ .

STEP 7

Let's look at the options and see which ones match our expression.
Remember, $12 - 0.2 \cdot x$ is the same as $-0.2 \cdot x + 12$ , because adding and subtracting is like moving back and forth on a number line!

STEP 8

$2.4x$ is definitely not it!
This is just $x$ multiplied by $2.4$ .

STEP 9

$-0.2x + 12$ looks good!
It's the same as our expression, just written in a different order.

STEP 10

$12 - 20x$ is not correct.
We need $0.2x$ , not $20x$ .

STEP 11

$12 - 0.2x$ is exactly what we got!
This one's correct.

STEP 12

$-20x + 12$ is also incorrect for the same reason as $12 - 20x$ .
We're looking for $0.2x$ , not $20x$ .

STEP 13

The correct expressions are $-0.2x + 12$ and $12 - 0.2x$ .

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QuestionSelect all the expressions that represent the verbal the difference of 12 and $20 \%$ of a number $x$ $2.4 x$ $-0.2 x+12$ $12-20 x$ $12-0.2 x$ $-20 x+12$

Studdy Solution

STEP 1

What is this asking? We need to find which expressions show 12 minus 20% of some number x. Watch out! Don't mix up 20% with just 20!
Remember 20% means 20 out of 100!
Also, "difference" means subtraction, and the order matters!

STEP 2

1. Convert the percentage
2. Write the expression
3. Check the options

STEP 3

Let's change 20% into a decimal.
Remember, "percent" means "per hundred," so 20% is the same as $\frac{20}{100}$ .

STEP 4

To convert a fraction to a decimal, we divide the numerator (the top number) by the denominator (the bottom number).
So, $\frac{20}{100} = 0.2$ .
This is our percentage as a decimal.

STEP 5

The problem says "the difference of 12 and 20% of a number $x$ ”. "Difference" means subtraction.

STEP 6

We're subtracting 20% of $x$ from 12. "20% of $x$ " can be written as $0.2 \cdot x$ .
So, the whole expression is $12 - 0.2 \cdot x$ .

STEP 7

Let's look at the options and see which ones match our expression.
Remember, $12 - 0.2 \cdot x$ is the same as $-0.2 \cdot x + 12$ , because adding and subtracting is like moving back and forth on a number line!

STEP 8

$2.4x$ is definitely not it!
This is just $x$ multiplied by $2.4$ .

STEP 9

$-0.2x + 12$ looks good!
It's the same as our expression, just written in a different order.

STEP 10

$12 - 20x$ is not correct.
We need $0.2x$ , not $20x$ .

STEP 11

$12 - 0.2x$ is exactly what we got!
This one's correct.

STEP 12

$-20x + 12$ is also incorrect for the same reason as $12 - 20x$ .
We're looking for $0.2x$ , not $20x$ .

STEP 13

The correct expressions are $-0.2x + 12$ and $12 - 0.2x$ .

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QuestionSelect all the expressions that represent the verbal the difference of 12 and 20%20 \%20% of a number xxx 2.4x2.4 x2.4x −0.2x+12-0.2 x+12−0.2x+12 12−20x12-20 x12−20x 12−0.2x12-0.2 x12−0.2x −20x+12-20 x+12−20x+12

Studdy Solution

STEP 1

What is this asking? We need to find which expressions show 12 *minus* 20% of some number *x*. Watch out! Don't mix up 20% with just 20!Remember 20% means 20 *out of* 100!Also, "difference" means subtraction, and the order matters!

STEP 2

1. Convert the percentage2. Write the expression3. Check the options

STEP 3

Let's change 20% into a decimal.Remember, "percent" means "per hundred," so 20% is the same as 20100\frac{20}{100}10020​.

STEP 4

To convert a fraction to a decimal, we **divide** the numerator (the top number) by the denominator (the bottom number).So, 20100=0.2\frac{20}{100} = 0.210020​=0.2.This is our **percentage as a decimal**.

STEP 5

The problem says "the difference of 12 and 20% of a number xxx”. "Difference" means subtraction.

STEP 6

We're subtracting 20% of xxx *from* 12. "20% of xxx" can be written as 0.2⋅x0.2 \cdot x0.2⋅x.So, the whole expression is 12−0.2⋅x12 - 0.2 \cdot x12−0.2⋅x.

STEP 7

Let's look at the options and see which ones match our expression.Remember, 12−0.2⋅x12 - 0.2 \cdot x12−0.2⋅x is the same as −0.2⋅x+12-0.2 \cdot x + 12−0.2⋅x+12, because adding and subtracting is like moving back and forth on a number line!

STEP 8

2.4x2.4x2.4x is definitely not it!This is just xxx multiplied by 2.42.42.4.

STEP 9

−0.2x+12-0.2x + 12−0.2x+12 looks good!It's the same as our expression, just written in a different order.

STEP 10

12−20x12 - 20x12−20x is not correct.We need 0.2x0.2x0.2x, not 20x20x20x.

STEP 11

12−0.2x12 - 0.2x12−0.2x is exactly what we got!This one's correct.

STEP 12

−20x+12-20x + 12−20x+12 is also incorrect for the same reason as 12−20x12 - 20x12−20x.We're looking for 0.2x0.2x0.2x, not 20x20x20x.

STEP 13

The correct expressions are −0.2x+12-0.2x + 12−0.2x+12 and 12−0.2x12 - 0.2x12−0.2x.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSelect all the expressions that represent the verbal the difference of 12 and $20 \%$ of a number $x$ $2.4 x$ $-0.2 x+12$ $12-20 x$ $12-0.2 x$ $-20 x+12$

What is this asking? We need to find which expressions show 12 minus 20% of some number x. Watch out! Don't mix up 20% with just 20!
Remember 20% means 20 out of 100!
Also, "difference" means subtraction, and the order matters!

1. Convert the percentage
2. Write the expression
3. Check the options

Let's change 20% into a decimal.
Remember, "percent" means "per hundred," so 20% is the same as $\frac{20}{100}$ .

To convert a fraction to a decimal, we divide the numerator (the top number) by the denominator (the bottom number).
So, $\frac{20}{100} = 0.2$ .
This is our percentage as a decimal.

The problem says "the difference of 12 and 20% of a number $x$ ”. "Difference" means subtraction.

We're subtracting 20% of $x$ from 12. "20% of $x$ " can be written as $0.2 \cdot x$ .
So, the whole expression is $12 - 0.2 \cdot x$ .

Let's look at the options and see which ones match our expression.
Remember, $12 - 0.2 \cdot x$ is the same as $-0.2 \cdot x + 12$ , because adding and subtracting is like moving back and forth on a number line!

$2.4x$ is definitely not it!
This is just $x$ multiplied by $2.4$ .

$-0.2x + 12$ looks good!
It's the same as our expression, just written in a different order.

$12 - 20x$ is not correct.
We need $0.2x$ , not $20x$ .

$12 - 0.2x$ is exactly what we got!
This one's correct.

$-20x + 12$ is also incorrect for the same reason as $12 - 20x$ .
We're looking for $0.2x$ , not $20x$ .

The correct expressions are $-0.2x + 12$ and $12 - 0.2x$ .