SOE Applications

When we add two numbers, x, and y, we get 12. When we subtract the two numbers, we get 4. What are the two numbers?

• The numbers are 8 and 4.

• The numbers are 6 and 6.

• The numbers are 12 and 0.

• The numbers are 11 and 1.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

Manassas Park is selling tickets for their fall musical. On the first day of sales, we sold 3 adult tickets and 9 student tickets. They made $75. On the second day of sales, we sold 8 adult tickets and 5 student tickets and made $67. How much does an adult and a student ticket cost?

• An adult ticket costs $4 and a student ticket costs $7.

• An adult ticket costs $7 and a student ticket costs $4.

• An adult ticket costs $6 and a student ticket costs $3.

• An adult ticket costs $3 and a student ticket costs $6.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

A movie theater charges $10 for each adult ticket and $5 for each child ticket. At a showing where 150 tickets were sold, the theater collected $1200. How many child and adult tickets were sold?

• There were 90 adult tickets and 60 child tickets sold.

• There were 60 adult tickets and 90 child tickets sold.

• There were 50 adult tickets and 40 child tickets sold.

• There were 40 adult tickets and 50 child tickets sold.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

The math club is taking a trip to the MoMath Museum in NYC. Manassas Park rented 2 vans and 3 buses. They took 200 students. Prince William rented 4 vans and 10 buses. They took 600 students. How many students does a van and bus hold?

• A van holds 25 students and a bus holds 50 students.

• A van holds 50 students and a bus holds 25 students.

• A van holds 35 students and a bus holds 45 students.

• A van holds 45 students and a bus holds 35 students.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

When we add two numbers, x, and y, we get 14. When we subtract the two numbers, we get 8. What are the two numbers?

• The two numbers are 11 and 3.

• The two numbers are 9 and 5.

• The two numbers are 7 and 7.

• The two numbers are 4 and 10.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

You and a friend go to Chick-Fil-A. You order 2 chicken sandwiches and 5 cookies. Your bill is $17. Your friend orders 3 chicken sandwiches and 2 cookies. Their bill is $20. How much does a chicken sandwich and a cookie cost?

• A sandwich costs $6 and a cookie costs $1.

• A sandwich costs $1 and a cookie costs $6.

• A sandwich costs $5 and a cookie costs $2.

• A sandwich costs $2 and a cookie costs $5.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (1, -2)

• One Solution: (-2, 1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (0, 4)

• One Solution: (0, 6)

Tags

CCSS.8.EE.C.8B

How many solutions does the system of equations below have?

• No Solution

• Infinite Solutions

• One Solution

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.HSA.REI.C.6