Multi-Step Equations Word Problems

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Tags

CCSS.8.EE.C.7B

Front

How do you set up an equation from a word problem?

Back

Identify the variables, translate the words into mathematical expressions, and set up an equation that represents the situation described.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation, if possible, by combining like terms and distributing.

Tags

CCSS.8.EE.C.7B

Front

How do you isolate a variable in an equation?

Back

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

Tags

CCSS.7.EE.B.4A

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming that the solution is correct.

Tags

CCSS.8.EE.C.7B

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, represented by a number in an equation.

Tags

CCSS.6.EE.A.2B

Front

How do you interpret the slope in a word problem involving rates?

Back

The slope represents the rate of change, indicating how much one quantity changes in relation to another.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is zero, representing the starting point of a linear relationship.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you determine the point of intersection in a word problem?

Back

The point of intersection is found by solving the equations simultaneously to find the values of the variables that satisfy both equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6