Systems Word Problems

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that can be solved together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you represent the sum of two numbers in an equation?

Back

If x and y are the two numbers, their sum can be represented as x + y = sum.

Tags

CCSS.HSA.CED.A.3

Front

How do you represent the difference of two numbers in an equation?

Back

If x and y are the two numbers, their difference can be represented as x - y = difference.

Tags

CCSS.6.EE.B.6

Front

What is the first step in solving a system of equations?

Back

Identify the equations and the variables involved.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How can you check if a solution to a system of equations is correct?

Back

Substitute the solution back into the original equations to see if they hold true.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if two equations in a system are parallel?

Back

It means they have no solution because they never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if two equations in a system are the same?

Back

It means there are infinitely many solutions because they represent the same line.

Tags

CCSS.8.EE.C.8A

Front

In a word problem, how do you identify the variables?

Back

Determine what quantities you need to find and assign a variable to each.

Tags

CCSS.6.EE.B.6

Front

What is the relationship between the number of legs and the number of animals in a word problem?

Back

Each type of animal has a specific number of legs, which can be used to set up equations.

Tags

CCSS.6.EE.B.7

Front

How do you set up an equation for a word problem involving total cost?

Back

Identify the cost per item and the number of items, then use the equation: total cost = cost per item × number of items.

Tags

CCSS.HSA.CED.A.3