Writing Systems of Equations A.2I Lesson

Match

BELL RINGER:

Match the following systems of equations with its solution.

(1, 2)

(-3, -6)

(4, 1)

(4, 3)

• (1, 2)

• (-3, -6)

• (4, 1)

• (4, 3)

Writing Systems of Equations

A.2I (Dec 2, 2022)

Wacky Wizard offers beginner and advanced magic classes. Last week they taught 7 beginner classes and 11 advanced classes and earned $390. Write a system that represents the cost of the beginner class, b, and the cost of advanced class, a.

The cafe sells Beetle Juice and Potion Punch. A cup of Beetle Juice costs $2.50 and a cup of Potion Punch costs $3. Owens ordered 5 drinks for his group and spent $14. Write a system of equations to find the number of cups of beetle juice, j, and potion punch, p, that Owens purchased.

Dropdown

Select which are true:

Owen ordered 3 Beetle Juice and 2 Potion Punch: ​

Select answer

Owen ordered 2 Beetle Juice and 3 Potion Punch: ​

Select answer

List the system of equations represented on the graph as well as the solution.

​

SYSTEMS:

SOLUTION:

Home

Open in new tab

Copy link

​Create a system of two equations with a solution of (4, 2).

Multiple Choice

Annette has math and science tests this week. She sets aside 275 minutes for study time. She determines she needs to study for science 10 minutes less than twice the amount of time she studies for her math test. Which student correctly wrote a system of equations to find the number of minutes Annette needs to study for her math test, x, and her science test, y.

• SASHA

• MARCO

• DEONDRE

The tables below show the cost of yoga classes at to different studios. Studio A charges a mat fee of $25, but Studio B has no initial fee. Write a system of equations that will determine when the two studios cost the same.

​

​Some text here about the topic of discussion.

Bustin' BBQ Pit sells sausage and brisket by the pound. Rusty orders 2 pounds of sausage and 3 pounds of brisket for his family and pays $21. Marta orders 10 pounds of sausage and 14 pounds of brisket and pays $100.50. Find the cost per pound of the sausage, s, and brisket, b.

Multiple Choice

Which system of equations represents lines f and g?

• y = 1.75x + 3.5

  y = -4x - 8

• y = 1.75x + 3.5

  y = -4x - 2

• y = 3.5x + 1.75

  y = -4x - 8

• y = 3.5x + 1.75

  y = -4x - 2