Equation Models and Word Problems

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They spent $12,000 one day.  Which equation could be used to find the number of bears t the company has made that day?

• 1500 + 8t = 12000

• 12000 + 8t = 1500

• 1500 - 8t = 12000

• 8t - 12000 = 1500

A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  Which equation can be used to find how many miles Mr. Lewis lives from the airport?

• 3x + 30 = 1.50

• 1.50x + 3 = 30

• 30x + 1.50 = 3

For a field trip 4 students rode in cars, and the rest filled nine buses. 472 students went on the trip. Which equation models the situation?

• 4x = 472

• 9x = 472

• 4 + 9x = 472

• 4x + 9 = 472

You bought a magazine for $5 and four erasers. You spent a total of $29. Which equation could you solve to find out how much each eraser cost?

• 5 + x = 29

• 5 + 4x = 29

• 5x = 29

• 29 = 5x + 4

Which equation best matches the graph shown?

• y = 4x

• y = 4x - 3

• y = 4/3 x + 4

• y = 4/3 x - 3

What is the solution to the equation represented by the model?

• 2

• 4

• 5

• 7

What equation is represented in this hanger diagram?

• 14 = 2x + 3

• 14 = 2x + 6

• 14 = 2x -3

• 14 = 2x - 6

This problem:

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

• relates two different objects

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

What is the solution to the equation represented by the model?

• 2

• 3

• 5

• 10

Your digital camera 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. Match the parts of the equation with what they represent.

• number of low resolution pictures

• x

• megabytes per high resolution picture

• y

• number of high resolution pictures

• 512

• megabytes per low resolution picture

• 8

• total memory

• 4