Unit 3 Review

Front

What is a solution set in the context of inequalities?

Back

A solution set is the set of all values that satisfy a given inequality or equation.

Front

How do you determine if a point is part of a solution set for an inequality?

Back

To determine if a point is part of a solution set, substitute the point's coordinates into the inequality. If the inequality holds true, the point is part of the solution set.

Front

What does the symbol '≥' represent in inequalities?

Back

'≥' means 'greater than or equal to', indicating that the value on the left can be either greater than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables. A positive slope means the line rises, while a negative slope means it falls.

Tags

CCSS.8.EE.B.5

Front

How can you express a constraint in a mathematical inequality?

Back

A constraint can be expressed as an inequality that limits the values of a variable, such as 'x ≤ 20' indicating that x cannot exceed 20.

Tags

CCSS.6.EE.B.8

Front

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

Back

A system of equations has infinitely many 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 do you represent a situation where a person has a maximum amount of money?

Back

This situation can be represented by an inequality, such as 'x ≤ 20', where x is the amount of money.

Tags

CCSS.6.EE.B.8

Front

What is the relationship between the number of hours worked and the total earnings in a job?

Back

The total earnings can be calculated by multiplying the number of hours worked by the hourly wage, represented as 'E = wage × hours'.

Tags

CCSS.6.EE.C.9

Front

What does the term 'at least' indicate in mathematical terms?

Back

'At least' indicates a minimum value and is represented by the inequality '≥'.

Tags

CCSS.6.EE.B.8

Front

How do you set up a system of inequalities based on a word problem?

Back

Identify the constraints and objectives in the problem, then translate them into inequalities that represent the relationships between the variables.