Solving Linear Equations and Functions

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What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What does it mean for a graph to be a function?

Back

A graph is a function if every input (x-value) has exactly one output (y-value). This means that no vertical line can intersect the graph at more than one point.

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How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Tags

CCSS.7.EE.B.4A

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 convert a decimal to a percent?

Back

To convert a decimal to a percent, multiply the decimal by 100 and add a percent sign.

Front

What is the first step to solve the equation: 11 - 3x = 44?

Back

Subtract 11 from both sides.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation: 2x + 3 = 11?

Back

x = 4.

Tags

CCSS.7.EE.B.4A

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Tags

CCSS.7.EE.A.1

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression, such as in 3x, where 3 is the coefficient.

Tags

CCSS.6.EE.A.2B

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.