Unit 4 Test Review

Front

What does it mean for a system of equations to have infinite solutions?

Back

A system of equations has infinite solutions when the equations represent the same line, meaning every point on the line is a solution.

Tags

CCSS.8.EE.C.8B

Front

How can you determine if a system of inequalities has no solution?

Back

A system of inequalities has no solution if the graphs of the inequalities do not overlap, meaning there is no region that satisfies all inequalities.

Tags

CCSS.HSA.REI.D.12

Front

What inequality represents a budget constraint for purchasing items?

Back

An inequality representing a budget constraint shows that the total cost of items must be less than or equal to the budget.

Front

What is the significance of shading in a graph of linear inequalities?

Back

Shading in a graph of linear inequalities indicates the region where the solutions to the inequalities are located.

Tags

CCSS.HSA.REI.D.12

Front

How do you solve a system of equations?

Back

To solve a system of equations, you can use methods such as substitution, elimination, or graphing to find the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does the term 'y-intercept' refer to in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x=0.

Front

What is the slope of a line, and how is it calculated?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Tags

CCSS.8.EE.B.5

Front

What is a feasible region in the context of linear programming?

Back

A feasible region is the area on a graph that satisfies all constraints of a linear programming problem.

Tags

CCSS.HSA.REI.D.12

Front

How do you interpret the solution of a system of equations graphically?

Back

The solution of a system of equations is the point(s) where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B