Solve and Model Equations and Inequalities

Which situation can be represented by this equation?250 + 65x = 575

• Mia is traveling to a location that is 575 miles away. She has already traveled 250 miles. What is x, the number of hours that Mia will need to travel at a speed of 65 miles per hour to reach the location?

• Mia is traveling to a location that is 575 miles away. She has already traveled 250 miles. What is x, the number of additional miles that Mia will need to travel?

• Mia is reading a book with 575 pages. She has already read 65 pages and will read 250 pages per day. What is x, the number of days that Mia will need to read to finish the book?

• Mia is reading a book with 575 pages. She has already read 315 pages. What is x, the number of pages that Mia has left to read to finish the book?

Solve for t. (Use the image to identify the correct inequality and graph.)

• A

• B

• C

• D

What is the solution for this equation?

• x = 2

• x = 4

• x = 8 

• x = 12

What values are possible solutions to the inequality?

•  -10

•  -13

•  5

•  0

Which of the following represents the solution to the inequality shown below?

• x < -3

• x < -6

• x > -3

• x > -6

Solve for x. (Use the image to identify the correct inequality and graph.)

• A

• B

• C

• D

Which situation can be represented by this inequality?

• Stefen spends $6.50 on supplies for a lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade he must sell to earn a profit of more than $50?

• Stefen has a balance of $6.50 in his savings account and deposits $1.25 each week. What is x, the number of weeks he must deposit $1.25 in order to have a balance of more than $50 in his savings account?

• Stefen earns 1.25% interest on the balance on his account and has to pay a monthly charge of $6.50. What is x, the balance that Stefen must have in his account in order to have an ending balance greater than $50 after interest and fees?

• Stefen charges $1.25 for gasoline plus $6.50 per hour for mowing lawns. What is x, the number of hours he has to mow lawns in order to earn more than $50?

What value of x makes the equation true?

• x = -5

• x = 2

• x = 4

• x = 3

Pick the correct letter for:
6 > x

• A

• B

• C

• D

Solve for x

• x = 4

• x = 1

• 2x = 4

• x = 2