3.2 Writing and Graphing

3.2 Writing Systems and Review

​Make sure your name is on your paper!

​Today we are going to WRITE a system of equations from word problems. Here is an example.

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Example 1: Write a sysem of equations for the situation. Let x be the price of chicken tacos, y the price of beef tacos, and z the price of shrimp tacos.

Mikaela: 1x + ​1y + ​2z = 6.47

Jennifer: ​

Select answer

x + ​ 2​ y = ​

Select answer

Angel: ​

Select answer

x + ​

Select answer

y + 4z = ​

Select answer

Drag and Drop

Example 2: Write the system of equations by dragging the correct value into the equation.

​

Placeholder

b + ​

Placeholder

c = ​ 6.00

​b + c = ​

Placeholder

Drag these tiles and drop them in the correct blank above

0.08

0.15

68

Drag and Drop

Example 3: You can buy 6 chicken and 6 beef sandwiches for $30, and 4 chicken and 8 beef for $30.60. Write a system of equations to determine how much a chicken sandwich, x, and a beef sandwich, y costs.

​

Placeholder

x + ​

Placeholder

y = 30

4x + ​

Placeholder

y = ​

Placeholder

Drag these tiles and drop them in the correct blank above

6

8

30.60

30

4

Lets practice what we did last class!

​Make sure you have Desmos open!

Multiple Choice

Example 4: Solve the following system of equations by graphing.

y = 3x + 2

y = 1/2 x - 3

• (-2, 5)

• (-2, -4)

• (2, -3)

• (4, 3)

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Example 5: Solve the following system of equations by graphing.

y = -2x - 1

y = 4/5 x - 1

( ​

Select answer

, ​

Select answer

)

These next examples you will have to solve for y first!

Dropdown

Example 6: Solve the following system of equations by graphing.

y = x - 1

x + y = 5

( ​ ​

Select answer

, ​

Select answer

)

Multiple Choice

Example 7: Solve the following system of equations by graphing.

y = 3x +2

-3x + y = 8

• (2, 8)

• (3, -3)

• (5, 7)

• No Solution

• Infinite Solutions

Multiple Choice

Example 8: Which point is a solution?

• A

• B

• C

• D