Setting up Linear Word Problems

Setting up Word Problems

Lesson 5.5

Example 1

Lee paid $125 in advance on his account at the gym. Each time he visits the gym, $10 is deducted from his account.

Multiple Choice

Lee paid $125 in advance on his account at the gym. Each time he visits the gym, $10 is deducted from his account.

Would this be represented by a slope-intercept form or standard form equation?

• Slope-intercept (y=mx+b)

• Standard (Ax+By=C)

Multiple Choice

Lee paid $125 in advance on his account at the gym. Each time he visits the gym, $10 is deducted from his account.

Which value represents the rate of change (m)?

• 10

• 125

• -10

Multiple Choice

Lee paid $125 in advance on his account at the gym. Each time he visits the gym, $10 is deducted from his account.

Which value represents the initial value (b)?

• 10

• 125

• -10

Multiple Choice

Lee paid $125 in advance on his account at the gym. Each time he visits the gym, $10 is deducted from his account.

Which equation would represent the amount of money in his account after x visits?

• y=10x+125

• y=-10x+125

• y=125x+10

• y=10x-125

Example 2

In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. You've earned 250 total points.

Multiple Choice

In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. You've earned 250 total points.

Would this be represented by a slope-intercept form or standard form equation?

• Slope-intercept (y=mx+b)

• Standard (Ax+By=C)

Multiple Select

In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. You've earned 250 total points.

Which values will represent the coefficients "A" and "B"? Choose BOTH numbers.

• 5

• 250

• 2

Multiple Choice

In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. You've earned 250 total points.

Which equation would represent the total amount of points earned, if x represents jewels and y represents stars?

• 5x+2y=250

• 5x-2y=250

• 2x-5y=250

• 250x+5y=2

Example 3

A store sells sodas for $2 each and chips for $1.50 each. You plan on spending $17.50 on drinks and snacks for you and your friends.

Multiple Choice

A store sells sodas for $2 each and chips for $1.50 each. You plan on spending $17.50 on drinks and snacks for you and your friends.

Would this be represented by a slope-intercept form or standard form equation?

• Slope-intercept (y=mx+b)

• Standard (Ax+By=C)

Multiple Select

A store sells sodas for $2 each and chips for $1.50 each. You plan on spending $17.50 on drinks and snacks for you and your friends.

Which values will represent the coefficients "A" and "B"? Choose BOTH numbers.

• 17.50

• 2

• 1.50

Multiple Choice

A store sells sodas for $2 each and chips for $1.50 each. You plan on spending $17.50 on drinks and snacks for you and your friends.

Which equation would represent the total amount of points earned, if x represents drinks and y represents chips?

• 17.50x+1.50y=2

• 2x-1.50y=17.50

• 2x+1.50y=17.50

• 2x+1.50y=19

Example 4

Shelly has already written 143 words for her paper. She types at an average speed of 35 words per minute.

Multiple Choice

Shelly has already written 143 words for her paper. She types at a speed of 35 words per minute.

Would this be represented by a slope-intercept form or standard form equation?

• Slope-intercept (y=mx+b)

• Standard (Ax+By=C)

Multiple Choice

Shelly has already written 143 words for her paper. She types at a speed of 35 words per minute.

Which value represents the rate of change (m)?

• 143

• 35

• -35

Multiple Choice

Shelly has already written 143 words for her paper. She types at a speed of 35 words per minute.

Which value represents the initial value (b)?

• 143

• 35

• -35

Multiple Choice

Shelly has already written 143 words for her paper. She types at a speed of 35 words per minute.

Which equation would represent the number of words written after x minutes?

• y=35x-143

• y=143x+35

• y=143x-35

• y=35x+143