Unit 3 - Systems of Equations + Inequalities

Question 1

What are the methods for solving a system?

Answer 1

Graphing, table, substitution, elimination

Question 2

How do you solve a system with substitution?

Answer 2

Multiple scenarios
If 1 equation is y=….. substitute that for the y in the 2nd, then solve
If none are y=….. convert/rearrange one to be y=… then substitute and solve
If both are y=….. just solve it

Question 3

How do you solve a system with elimination?

Answer 3

Multiply one of the equations to make either x or y equal, then subtract and solve

Question 4

When solving an inequality, _______________ keep the sign the same

Answer 4

addition and subtraction

Question 5

When solving an inequality, _______________ flip the sign

Answer 5

multiplication and division

Question 6

What is no solution for a system?

Answer 6

The lines don’t intersect

Question 7

What does infinite solutions mean?

Answer 7

The lines are on top of each other

Question 8

What do you shade in an inequality?

Answer 8

If it is y > or y >=, shade above the line

If it is y < or y <=, shade below the line

Question 9

What line do you use in an inequality?

Answer 9

If it is y >= or y <=, use the solid line

If it is y > or y

Question 10

In an inequality system, shade the _____________

Answer 10

inside of the line