Equation and Inequalities Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you represent a word problem as an equation?

Back

To represent a word problem as an equation, identify the variables, constants, and relationships described in the problem, then translate these into a mathematical expression.

Tags

CCSS.HSA.CED.A.3

Front

What does it mean to solve for a variable in an equation?

Back

Solving for a variable means finding the value of that variable that makes the equation true.

Tags

CCSS.6.EE.B.7

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Tags

CCSS.6.EE.B.8

Front

How do you write an inequality from a word problem?

Back

Identify the quantities involved, determine the relationship (greater than, less than, etc.), and express this relationship using inequality symbols.

Tags

CCSS.6.EE.B.8

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Tags

CCSS.6.EE.B.8

Front

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

Back

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

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you find the total cost in a word problem involving fixed and variable costs?

Back

Add the fixed cost to the product of the variable cost per unit and the number of units.

Front

What is a variable in the context of equations and inequalities?

Back

A variable is a symbol, often represented by letters, that stands for an unknown value in an equation or inequality.

Tags

CCSS.6.EE.B.6

Front

How can you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Tags

CCSS.6.EE.B.5