Systems of Equations and Inequalities Review

Front

A point that is on a dashed line is...

Back

not a solution

Front

For the inequality y > 3x - 5, would you shade (0,0) or shade the other side?

Back

shade (0,0)--it is a solution

Front

Check to see if (-2,1) is a solution to the following system: x + 2y = 0, 4x + 3y = 1

Back

no

Front

An inequality using a ≤ or ≥ is graphed using a...

Back

solid line

Front

You have a total of 17 coins. All of your coins are nickels and dimes. The total value of the coins is $1.35. Which system of equations represents this situation?

Back

n + d = 17, 0.05n + 0.10d = 1.35

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for a point to be a solution to a system of equations?

Back

It means that the point satisfies all equations in the system.

Front

What is the graphical representation of a linear inequality?

Back

A region of the coordinate plane that is bounded by a line.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included (≤ or ≥), while a dashed line indicates they are not included (< or >).

Front

How do you determine which side of the line to shade for an inequality?

Back

Test a point not on the line; if it satisfies the inequality, shade that side.