QuestionWhich expression equals $11 y-5$ ? Choose Yes or No for each option: A. $\frac{1}{8}(88 y-40)$ B. $\frac{1}{2}(22 y-10)$ C. $3(33 y-15)$ D. $5-11 y$

Studdy Solution

STEP 1

Assumptions1. We are given the expression $11y -5$ . We are asked to find which of the provided options is equivalent to the given expression

STEP 2

Let's start with option A. We need to simplify the expression $\frac{1}{8}(88y -40)$ .

STEP 3

Apply the distributive property to simplify the expression.
$\frac{1}{8}(88y -40) = \frac{1}{8} \times88y - \frac{1}{8} \times40$

STEP 4

Calculate the simplified expression.
$\frac{1}{8} \times88y - \frac{1}{8} \times40 =11y -$

STEP 5

The simplified expression for option A is $11y -5$ , which is the same as the given expression. So, option A is correct.

STEP 6

Now, let's move to option B. We need to simplify the expression $\frac{1}{2}(22y -10)$ .

STEP 7

Apply the distributive property to simplify the expression.
$\frac{1}{2}(22y -10) = \frac{1}{2} \times22y - \frac{1}{2} \times10$

STEP 8

Calculate the simplified expression.
$\frac{1}{2} \times22y - \frac{1}{2} \times10 =11y -5$

STEP 9

The simplified expression for option B is $11y -5$ , which is the same as the given expression. So, option B is correct.

STEP 10

Now, let's move to option C. We need to simplify the expression $3(33y -15)$ .

STEP 11

Apply the distributive property to simplify the expression.
$3(33y -15) =3 \times33y -3 \times15$

STEP 12

Calculate the simplified expression.
$\times33y - \times15 =99y -45$

STEP 13

The simplified expression for option C is $99y -45$ , which is not the same as the given expression. So, option C is not correct.

STEP 14

Finally, let's move to option D. We need to simplify the expression $-11y$ .

STEP 15

The expression $5 -11y$ is not the same as the given expression $11y -5$ . So, option D is not correct.
The correct options are A and B.

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QuestionWhich expression equals $11 y-5$ ? Choose Yes or No for each option: A. $\frac{1}{8}(88 y-40)$ B. $\frac{1}{2}(22 y-10)$ C. $3(33 y-15)$ D. $5-11 y$

Studdy Solution

STEP 1

Assumptions1. We are given the expression $11y -5$ . We are asked to find which of the provided options is equivalent to the given expression

STEP 2

Let's start with option A. We need to simplify the expression $\frac{1}{8}(88y -40)$ .

STEP 3

Apply the distributive property to simplify the expression.
$\frac{1}{8}(88y -40) = \frac{1}{8} \times88y - \frac{1}{8} \times40$

STEP 4

Calculate the simplified expression.
$\frac{1}{8} \times88y - \frac{1}{8} \times40 =11y -$

STEP 5

The simplified expression for option A is $11y -5$ , which is the same as the given expression. So, option A is correct.

STEP 6

Now, let's move to option B. We need to simplify the expression $\frac{1}{2}(22y -10)$ .

STEP 7

Apply the distributive property to simplify the expression.
$\frac{1}{2}(22y -10) = \frac{1}{2} \times22y - \frac{1}{2} \times10$

STEP 8

Calculate the simplified expression.
$\frac{1}{2} \times22y - \frac{1}{2} \times10 =11y -5$

STEP 9

The simplified expression for option B is $11y -5$ , which is the same as the given expression. So, option B is correct.

STEP 10

Now, let's move to option C. We need to simplify the expression $3(33y -15)$ .

STEP 11

Apply the distributive property to simplify the expression.
$3(33y -15) =3 \times33y -3 \times15$

STEP 12

Calculate the simplified expression.
$\times33y - \times15 =99y -45$

STEP 13

The simplified expression for option C is $99y -45$ , which is not the same as the given expression. So, option C is not correct.

STEP 14

Finally, let's move to option D. We need to simplify the expression $-11y$ .

STEP 15

The expression $5 -11y$ is not the same as the given expression $11y -5$ . So, option D is not correct.
The correct options are A and B.

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QuestionWhich expression equals 11y−511 y-511y−5? Choose Yes or No for each option: A. 18(88y−40)\frac{1}{8}(88 y-40)81​(88y−40) B. 12(22y−10)\frac{1}{2}(22 y-10)21​(22y−10) C. 3(33y−15)3(33 y-15)3(33y−15) D. 5−11y5-11 y5−11y

Studdy Solution

STEP 1

Assumptions1. We are given the expression 11y−511y -511y−5 . We are asked to find which of the provided options is equivalent to the given expression

STEP 2

Let's start with option A. We need to simplify the expression 18(88y−40)\frac{1}{8}(88y -40)81​(88y−40).

STEP 3

Apply the distributive property to simplify the expression.18(88y−40)=18×88y−18×40\frac{1}{8}(88y -40) = \frac{1}{8} \times88y - \frac{1}{8} \times4081​(88y−40)=81​×88y−81​×40

STEP 4

Calculate the simplified expression.18×88y−18×40=11y−\frac{1}{8} \times88y - \frac{1}{8} \times40 =11y -81​×88y−81​×40=11y−

STEP 5

The simplified expression for option A is 11y−511y -511y−5, which is the same as the given expression. So, option A is correct.

STEP 6

Now, let's move to option B. We need to simplify the expression 12(22y−10)\frac{1}{2}(22y -10)21​(22y−10).

STEP 7

Apply the distributive property to simplify the expression.12(22y−10)=12×22y−12×10\frac{1}{2}(22y -10) = \frac{1}{2} \times22y - \frac{1}{2} \times1021​(22y−10)=21​×22y−21​×10

STEP 8

Calculate the simplified expression.12×22y−12×10=11y−5\frac{1}{2} \times22y - \frac{1}{2} \times10 =11y -521​×22y−21​×10=11y−5

STEP 9

The simplified expression for option B is 11y−511y -511y−5, which is the same as the given expression. So, option B is correct.

STEP 10

Now, let's move to option C. We need to simplify the expression 3(33y−15)3(33y -15)3(33y−15).

STEP 11

Apply the distributive property to simplify the expression.3(33y−15)=3×33y−3×153(33y -15) =3 \times33y -3 \times153(33y−15)=3×33y−3×15

STEP 12

Calculate the simplified expression.×33y−×15=99y−45 \times33y - \times15 =99y -45×33y−×15=99y−45

STEP 13

The simplified expression for option C is 99y−4599y -4599y−45, which is not the same as the given expression. So, option C is not correct.

STEP 14

Finally, let's move to option D. We need to simplify the expression −11y -11y−11y.

STEP 15

The expression 5−11y5 -11y5−11y is not the same as the given expression 11y−511y -511y−5. So, option D is not correct.The correct options are A and B.

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QuestionWhich expression equals $11 y-5$ ? Choose Yes or No for each option: A. $\frac{1}{8}(88 y-40)$ B. $\frac{1}{2}(22 y-10)$ C. $3(33 y-15)$ D. $5-11 y$

Assumptions1. We are given the expression $11y -5$ . We are asked to find which of the provided options is equivalent to the given expression

Let's start with option A. We need to simplify the expression $\frac{1}{8}(88y -40)$ .

Apply the distributive property to simplify the expression.
$\frac{1}{8}(88y -40) = \frac{1}{8} \times88y - \frac{1}{8} \times40$

Calculate the simplified expression.
$\frac{1}{8} \times88y - \frac{1}{8} \times40 =11y -$

The simplified expression for option A is $11y -5$ , which is the same as the given expression. So, option A is correct.

Now, let's move to option B. We need to simplify the expression $\frac{1}{2}(22y -10)$ .

Apply the distributive property to simplify the expression.
$\frac{1}{2}(22y -10) = \frac{1}{2} \times22y - \frac{1}{2} \times10$

Calculate the simplified expression.
$\frac{1}{2} \times22y - \frac{1}{2} \times10 =11y -5$

The simplified expression for option B is $11y -5$ , which is the same as the given expression. So, option B is correct.

Now, let's move to option C. We need to simplify the expression $3(33y -15)$ .

Apply the distributive property to simplify the expression.
$3(33y -15) =3 \times33y -3 \times15$

Calculate the simplified expression.
$\times33y - \times15 =99y -45$

The simplified expression for option C is $99y -45$ , which is not the same as the given expression. So, option C is not correct.

Finally, let's move to option D. We need to simplify the expression $-11y$ .

The expression $5 -11y$ is not the same as the given expression $11y -5$ . So, option D is not correct.
The correct options are A and B.