Solving Systems of Equations with Word Problems

2. A theatre sold 900 tickets to a concert. Floor seats cost $12 and balcony seats were $10 each. Total receipts for the concert were $9,780. How many of each type of seats were sold for the concert?

Floor ______________

Tags

CCSS.8.EE.C.8C

A theatre sold 900 tickets to a concert. Floor seats cost $12 and balcony seats were $10 each. Total receipts for the concert were $9,780. How many of each type of seats were sold for the concert?

Balcony ____________

Tags

CCSS.8.EE.C.8C

The sum of two numbers is 36. Their difference is 6. Find both numbers.

Bigger Number ____________

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The sum of two numbers is 36. Their difference is 6. Find both numbers.

Smaller Number ____________

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• amount of money
• number of days

Tags

CCSS.7.EE.B.4A

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Tags

8.17

• # of tickets
• # of hours

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Tags

8.17

​ (a)  

• G

• F

• H

• J

Tags

CCSS.8.EE.C.8C

Two angles are complementary. The measure of one of the angles is 12 degrees more than 2 times the other angle’s measure. Which system of equations can be used to find the measure of the two angles if a is the measure of the larger angle and b is the measure of the smaller angle?

• a = 2b + 12

  a + b = 90

• b + a = 180

  a = 2b + 12

• a + b = 90

  a = 2(b + 12)

• b + a = 90

  a = 12 – 2b

Tags

CCSS.HSA.CED.A.3