Math / Algebra

Question9. Heidi, Sel, Eva, and Grace all went to the skating rink on Friday night. Heidi rode her bike, Sam walked, Eva rode her skateboard, and Grace was dropped off by her mom in a car. - It took Eva triple the time that it took Heidi. - It took Grace ten minutes more than it took Heidi. - It took Sam five minutes less than it took Eva.
Create an expression to represent the amount of time each friend spent traveling to the skating rink. Enter each expression in the table below. \begin{tabular}{|c|c|} \hline Name & Expression \\ \hline Heidi & $x$ \\ \hline Eva & \\ \hline Grace & \\ \hline Sam & \\ \hline \end{tabular}

Studdy Solution

STEP 1

What is this asking? We need to figure out how long it took each friend to get to the skating rink, using Heidi's time as a starting point. Watch out! Don't mix up who took longer or shorter to get to the rink!
It's easy to get confused, so read carefully.

STEP 2

1. Heidi's Time
2. Eva's Time
3. Grace's Time
4. Sam's Time

STEP 3

The problem tells us to use $x$ to represent Heidi's travel time.
So, Heidi's time is simply $x$ !
Easy peasy!

STEP 4

Eva's trip took triple the time it took Heidi. "Triple" means three times as much.

STEP 5

Since Heidi's time is $x$ , Eva's time is $3 \cdot x$ .
See how we multiplied Heidi's time by 3?

STEP 6

Grace arrived ten minutes later than Heidi.

STEP 7

To find Grace's time, we take Heidi's time ( $x$ ) and add ten minutes: $x + 10$ .

STEP 8

Sam's trip was five minutes shorter than Eva's.

STEP 9

We know Eva's time is $3 \cdot x$ , so we subtract five minutes from that: $3 \cdot x - 5$ .

STEP 10

Here's the completed table with everyone's travel times:
\begin{tabular}{|c|c|} \hline Name & Expression \\ \hline Heidi & $x$ \\ \hline Eva & $3 \cdot x$ \\ \hline Grace & $x + 10$ \\ \hline Sam & $3 \cdot x - 5$ \\ \hline \end{tabular}

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Studdy Solution

STEP 1

What is this asking? We need to figure out how long it took each friend to get to the skating rink, using Heidi's time as a starting point. Watch out! Don't mix up who took longer or shorter to get to the rink!
It's easy to get confused, so read carefully.

STEP 2

1. Heidi's Time
2. Eva's Time
3. Grace's Time
4. Sam's Time

STEP 3

The problem tells us to use $x$ to represent Heidi's travel time.
So, Heidi's time is simply $x$ !
Easy peasy!

STEP 4

Eva's trip took triple the time it took Heidi. "Triple" means three times as much.

STEP 5

Since Heidi's time is $x$ , Eva's time is $3 \cdot x$ .
See how we multiplied Heidi's time by 3?

STEP 6

Grace arrived ten minutes later than Heidi.

STEP 7

To find Grace's time, we take Heidi's time ( $x$ ) and add ten minutes: $x + 10$ .

STEP 8

Sam's trip was five minutes shorter than Eva's.

STEP 9

We know Eva's time is $3 \cdot x$ , so we subtract five minutes from that: $3 \cdot x - 5$ .

STEP 10

Here's the completed table with everyone's travel times:
\begin{tabular}{|c|c|} \hline Name & Expression \\ \hline Heidi & $x$ \\ \hline Eva & $3 \cdot x$ \\ \hline Grace & $x + 10$ \\ \hline Sam & $3 \cdot x - 5$ \\ \hline \end{tabular}

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Studdy Solution

STEP 1

What is this asking? We need to figure out how long it took each friend to get to the skating rink, using Heidi's time as a starting point. Watch out! Don't mix up who took longer or shorter to get to the rink!It's easy to get confused, so read carefully.

STEP 2

1. Heidi's Time2. Eva's Time3. Grace's Time4. Sam's Time

STEP 3

The problem tells us to use xxx to represent Heidi's travel time.So, Heidi's time is simply xxx!Easy peasy!

STEP 4

Eva's trip took *triple* the time it took Heidi. "Triple" means three times as much.

STEP 5

Since Heidi's time is xxx, Eva's time is 3⋅x3 \cdot x3⋅x.See how we multiplied Heidi's time by **3**?

STEP 6

Grace arrived **ten minutes** *later* than Heidi.

STEP 7

To find Grace's time, we take Heidi's time (xxx) and add **ten minutes**: x+10x + 10x+10.

STEP 8

Sam's trip was **five minutes** *shorter* than Eva's.

STEP 9

We know Eva's time is 3⋅x3 \cdot x3⋅x, so we subtract **five minutes** from that: 3⋅x−53 \cdot x - 53⋅x−5.

STEP 10

Here's the completed table with everyone's travel times:\begin{tabular}{|c|c|} \hline Name & Expression \\ \hline Heidi & xxx \\ \hline Eva & 3⋅x3 \cdot x3⋅x \\ \hline Grace & x+10x + 10x+10 \\ \hline Sam & 3⋅x−53 \cdot x - 53⋅x−5 \\ \hline \end{tabular}

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Studdy solves anything!

Start learning now

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

What is this asking? We need to figure out how long it took each friend to get to the skating rink, using Heidi's time as a starting point. Watch out! Don't mix up who took longer or shorter to get to the rink!
It's easy to get confused, so read carefully.

1. Heidi's Time
2. Eva's Time
3. Grace's Time
4. Sam's Time

The problem tells us to use $x$ to represent Heidi's travel time.
So, Heidi's time is simply $x$ !
Easy peasy!

Eva's trip took triple the time it took Heidi. "Triple" means three times as much.

Since Heidi's time is $x$ , Eva's time is $3 \cdot x$ .
See how we multiplied Heidi's time by 3?

Grace arrived ten minutes later than Heidi.

To find Grace's time, we take Heidi's time ( $x$ ) and add ten minutes: $x + 10$ .

Sam's trip was five minutes shorter than Eva's.

We know Eva's time is $3 \cdot x$ , so we subtract five minutes from that: $3 \cdot x - 5$ .

Here's the completed table with everyone's travel times:
\begin{tabular}{|c|c|} \hline Name & Expression \\ \hline Heidi & $x$ \\ \hline Eva & $3 \cdot x$ \\ \hline Grace & $x + 10$ \\ \hline Sam & $3 \cdot x - 5$ \\ \hline \end{tabular}