Systems of Equations and Inequalities Review

Front

What type of line is used to graph an inequality with ≤ or ≥?

Back

Solid line

Front

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

Back

Shade (0,0) -- it is a solution.

Front

Solve the system of equations: 3x - 7y = 10 and 12x + 14y = 16.

Back

(2, -0.57)

Front

Solve the following equations for x and y: -6x + 6y = 6 and 6x - 3y = 12.

Back

(5, 6)

Front

Solve using any method: 2x + 3y = 10 and -2x + y = 14.

Back

(-4, 6)

Front

What does it mean if a point is a solution to an inequality?

Back

It means that the point satisfies the inequality when substituted into it.

Front

What is the graphical representation of a strict inequality (e.g., < or >)?

Back

Dashed line

Front

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

Back

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

Front

What is the solution set of a system of equations?

Back

The set of all points (x, y) that satisfy all equations in the system.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting that expression into the other equation.