Standard Form Word Problems

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, $5050 was collected.

What is the equation that represents this in STANDARD form ?

• 5050x + 3y = 1.50

• 13x + 15y = 50

• 1.5x + 4y = 5050

• 5050x + 1.5y = 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

A landscaping company sells 13 bushes and 4 trees for $616.

Write the equation for this linear function in STANDARD Form.

• 5x + 3y = 700

• 616x + 4y = 13

• x + y = 616

• 13x + 4y = 616

Tags

CCSS.HSA.CED.A.2

Students rented buses and vans to go attend the Southland Staff/Student Hockey Game. There were 8 vans and 12 buses for the 360 students.

Write the equation for this linear function in STANDARD form.

• 12x + 360y = 8

• 360x + 14y = 12

• 8x + 12y = 360

• 15x + 12y = 72

Tags

CCSS.HSA.CED.A.2

You have $30 to spend on downloading songs for your phone.

Company A charges $0.79 per song, and Company B charges $0.99 per song.

Write this equation as a linear function in STANDARD form.

• 30x + 0.99y = 0.79

• 0.79x + 0.99 = 30

• 0.01x + 0.21y = 70

• 79x + 99y = 60

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

You have $6 to spend on lunch today.

The drinks cost $1.25 each and the salad costs $0.20 per ounce.

Write the equation as a linear function in STANDARD form.

• 6x + 1.25y = 20

• 20x + 1.25y = 0.99

• 1.25x + 0.75y = 2.00

• 1.25x + 0.20y = 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

Concert tickets cost $15 for general admission, but only $9 with a student ID. Ticket sales total $4500.

Write the equation as a linear function in STANDARD form.

• 15x + 4500y = 9

• 4500x + 20y = 9

• 2250x + 2250y = 4500

• 15x + 9y = 4500

Tags

CCSS.HSA.CED.A.2

The costs of general admission and student tickets to a high school football game are $7 and $4 respectively. The ticket sales for one game totaled $11,200.

Write the equation of this linear function in STANDARD form.

• 7x + 4y = 11,200

• 4x + 112y = 7

• 112x + 4y = 7

• 7x + 112y = 4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Your camera phone has a 512 megabyte memory card. You take pictures at two resolutions, a low resolution requiring 4 megabytes of memory per photo and a high resolution requiring 8 megabytes of memory per photo.

Write the equation of this linear function in STANDARD form.

• 512x + 4y = 8

• 51x + 4y = 7

• 4x + 8y = 512

• 51.2x + 4y = 8.9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3