Day 58 Writing Linear Equations & Expressions from 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 identify the slope in a linear equation?

Back

The slope in a linear equation is the coefficient of the variable x. It represents the rate of change of y with respect to x.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x is 0. It represents the point where the line crosses the y-axis.

Front

How can you represent a word problem as a linear equation?

Back

To represent a word problem as a linear equation, identify the quantities involved, assign variables to them, and express the relationships using mathematical operations.

Tags

CCSS.HSA.CED.A.3

Front

What is the constant term in a linear expression?

Back

The constant term in a linear expression is the value that does not change with the variable. It represents fixed costs or initial amounts.

Tags

CCSS.6.EE.A.2B

Front

How do you convert a word problem into an expression?

Back

To convert a word problem into an expression, identify the quantities and their relationships, then use variables and mathematical operations to express these relationships.

Tags

CCSS.HSA-SSE.A.1A

Front

What is the significance of the startup fee in a word problem?

Back

The startup fee is a fixed cost that must be paid before any variable costs are incurred. It is represented as a constant in the expression.

Tags

CCSS.HSF.LE.B.5

Front

How do you determine the total cost from a word problem involving fixed and variable costs?

Back

To determine the total cost, add the fixed costs (constants) to the variable costs (expressed as a product of a variable and its coefficient).

Front

What does the variable represent in a linear equation derived from a word problem?

Back

The variable in a linear equation typically represents a quantity that can change, such as time, number of items, or any other measurable factor.

Tags

CCSS.HSF.LE.B.5

Front

How can you find the number of weeks needed to reach a savings goal from a word problem?

Back

To find the number of weeks needed to reach a savings goal, set up the equation based on the initial amount, the amount saved per week, and the total savings goal, then solve for the variable representing weeks.

Tags

CCSS.6.EE.B.7