A football team scores 63 points. All of the points come from field goals (x) worth 3 points and touchdowns (y) worth 7 points. Write an equation in standard form that represents this situation. Then convert it to slope-intercept form. Select the correct standard form and slope-intercept form.

y = − 3 7 x + 9 y=-\frac{3}{7}x+9 y = − 7 3 x + 9

y = − 7 3 x + 21 y=-\frac{7}{3}x+21 y = − 3 7 x + 2 1

gives you a rate of change (slope) and a starting point (y-intercept)

gives you a rate of change (slope) and a sample point (x,y)

gives you two sample points ( x 1 , y 1 ) \left(x_1,\ y_1\right) ( x 1 , y 1 ) and ( x 2 , y 2 ) \left(x_2,\ y_2\right) ( x 2 , y 2 )

gives you a rate of change (slope) and a starting point (y-intercept)

gives you a rate of change (slope) and a sample point (x,y)

gives you a rate of change (slope) and a starting point (y-intercept)

gives you a rate of change (slope) and a sample point (x,y)

gives you two sample points ( x 1 , y 1 ) \left(x_1,\ y_1\right) ( x 1 , y 1 ) and ( x 2 , y 2 ) \left(x_2,\ y_2\right) ( x 2 , y 2 )

gives you a rate of change (slope) and a sample point (x,y)

gives you a rate of change (slope) and a starting point (y-intercept)

gives you two sample points ( x 1 , y 1 ) \left(x_1,\ y_1\right) ( x 1 , y 1 ) and ( x 2 , y 2 ) \left(x_2,\ y_2\right) ( x 2 , y 2 )

To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $102.00 The cost for 8 tickets is $150. What are the two points that we could use to find a linear equation for cost, C, of t tickets?

( 5 , 102 ) & ( 8 , 150 ) \left(5,102\right)\ \&\ \left(8,150\right) ( 5 , 1 0 2 ) & ( 8 , 1 5 0 )

( 5 , 8 ) & ( 102 , 150 ) \left(5,8\right)\ \&\ \left(102,\ 150\right) ( 5 , 8 ) & ( 1 0 2 , 1 5 0 )

( 8 , 5 ) & ( 150 , 102 ) \left(8,5\right)\ \&\ \left(150,102\right) ( 8 , 5 ) & ( 1 5 0 , 1 0 2 )

( 102 , 5 ) & ( 150 , 8 ) \left(102,5\right)\ \&\ \left(150,8\right) ( 1 0 2 , 5 ) & ( 1 5 0 , 8 )

Linear equation word problems practice

Authored by Allison Gilliard

Mathematics

9th - 12th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

y= 40

y= 400

y= 415

y= 65

y= 390

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

Write an equation to represent the situation

2x - 3y = 240

3y - 2x = 240

2x + 3y = 240

2 + 3 = 240

Tags

CCSS.HSA.CED.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

If you sold 60 cups of lemonade, how many cups of orange drink did you sell?

120

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

y = 12.5x + 30

y = 12.5 + 30

y = 12.5 + 30x

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A man is climbing down from 100 feet high descending 30 feet per minute.

y = - 30x + 100

y = 100 + 30x

y = 100x + 30

y = 100x - 30

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

MULTIPLE CHOICE QUESTION

30 sec • 12 pts

Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

20x + 15 = y

35x = y

15x + 20y = 150

150 - 20x = 15y

Tags

CCSS.HSA.CED.A.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

7 months

6 months

5 months

4 months

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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Linear equation word problems practice

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

Write an equation to represent the situation

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

A man is climbing down from 100 feet high descending 30 feet per minute.

Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog. Last week, the store made $60 from washing cats and dogs. If 6 cats were washed, write and solve a linear equation to find how many dogs were washed.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Linear equation word problems practice

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15How much would 50 shirts cost?

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.Write an equation to represent the situation

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

A man is climbing down from 100 feet high descending 30 feet per minute.

Jenny went to the sale at Kohl's last weekend. T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog. Last week, the store made $60 from washing cats and dogs. If 6 cats were washed, write and solve a linear equation to find how many dogs were washed.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

Write an equation to represent the situation

Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.