Alg Module 10 Review Flashcard

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all the equations true.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality. If it satisfies all inequalities, it is a solution.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality represents all the solutions that satisfy the inequality.

Tags

CCSS.HSA.REI.D.12

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 in the solution (≥ or ≤), while a dashed line indicates they are not included (> or <).

Tags

CCSS.HSA.REI.D.12

Front

How do you graph the inequality 2x - y > 4?

Back

First, graph the line 2x - y = 4 as a dashed line, then shade above the line.

Tags

CCSS.HSA.REI.D.12

Front

What does the inequality 4x + 2y < 6 represent graphically?

Back

It represents a region below the line 4x + 2y = 6, which is graphed as a dashed line.

Tags

CCSS.HSA.REI.D.12

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you identify the slope from the equation y ≤ 2/5x + 1?

Back

The slope is 2/5, which indicates the line rises 2 units for every 5 units it runs to the right.

Tags

CCSS.8.EE.B.5

Front

What does the term 'system of inequalities' mean?

Back

A system of inequalities is a set of two or more inequalities with the same variables.

Tags

CCSS.8.EE.C.8B

Front

How can you tell if a graph represents a system of inequalities?

Back

If the graph shows shaded regions and lines (solid or dashed) that represent multiple inequalities, it is a system of inequalities.

Tags

CCSS.HSA.REI.D.12