Unit 6: Systems of Equations Review

What are the characteristics of a one solution system of equations?

• The slopes and y-intercepts are the same.

• The slopes are the same and the y-intercepts are different.

• The slopes are different.

What are the characteristics of a no solution system of equations?

• The slopes and y-intercepts are the same.

• The slopes are the same and the y-intercepts are different.

• The slopes are different.

What are the characteristics of an infinitely many solutions system of equations?

• The slopes and y-intercepts are the same.

• The slopes are the same and the y-intercepts are different.

• The slopes are different.

• No Solution

• One Solution

• Infinitely Many Solutions

• No Solution

• One Solution

• Infinitely Many Solutions

• No Solution

• One Solution

• Infinitely Many Solutions

• There are no solutions because the slopes and y-intercepts are the same.

• There are infinitely many solutions because the slopes and y-intercepts are the same.

• There are no solutions because the slopes are the same and the y-intercepts are different.

• There are infinitely many solutions because the slopes are the same and the y-intercepts are different.

Select all the systems of equations that have exactly one solution.

Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50. Rachel orders 2 pizzas and 3 orders of breadsticks for a total of $23.

Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50. Rachel orders 2 pizzas and 3 orders of breadsticks for a total of $23. Solve the systems of equations.

• (2, 8.5)

• 2, 8.5

• 8.5, 2

• (8.5, 2)