Algebra I Final 2024 Review

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

Tags

CCSS.HSA.REI.D.12

Front

How do you graph the inequality y < -x + 3?

Back

To graph y < -x + 3, first graph the line y = -x + 3 as a dashed line (indicating that points on the line are not included). Then shade below the line to represent all points where y is less than -x + 3.

Tags

CCSS.HSA.REI.D.12

Front

What does the inequality y > x - 1 represent graphically?

Back

The inequality y > x - 1 represents the region above the line y = x - 1. The line is dashed, indicating that points on the line are not included in the solution.

Tags

CCSS.HSA.REI.D.12

Front

How do you find the width of a rectangle if the area is given?

Back

Tags

CCSS.HSA.APR.D.6

Front

What is the standard form of a linear inequality?

Back

The standard form of a linear inequality is expressed as Ax + By ≤ C or Ax + By ≥ C, where A, B, and C are constants.

Front

How do you write a linear inequality for a real-world situation?

Back

Front

What is the solution to the system of equations 3x + y = -14 and -2x - y = 9?

Back

The solution to the system is (-5, 1). This means x = -5 and y = 1 satisfy both equations.

Tags

CCSS.HSA.REI.C.9

Front

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

Back

A system of equations is consistent if there is at least one solution (the lines intersect at one point or are the same line).

Tags

CCSS.8.EE.C.8B

Front

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

Back

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

Tags

CCSS.HSA.REI.D.12

Front

How do you determine if a point is a solution to an inequality?

Back

To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.