System of Equations Word Problems

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and ensure the equations reflect the problem's constraints.

Tags

CCSS.HSA.CED.A.3

Front

What does 'S' represent in the context of ticket sales?

Back

In the context of ticket sales, 'S' typically represents the number of student tickets sold.

Tags

CCSS.6.EE.B.8

Front

What does 'A' represent in the context of ticket sales?

Back

In the context of ticket sales, 'A' typically represents the number of adult tickets sold.

Tags

CCSS.8.EE.C.8C

Front

How do you set up an equation for total receipts from ticket sales?

Back

Multiply the number of each type of ticket sold by its price and sum them up to equal the total receipts.

Tags

CCSS.HSA.CED.A.3

Front

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

Back

The first step is to express one variable in terms of the other using one of the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does 'v' represent in the context of transportation problems?

Back

In transportation problems, 'v' typically represents the number of students per van.

Front

What does 'b' represent in the context of transportation problems?

Back

In transportation problems, 'b' typically represents the number of students per bus.

Front

How do you find the number of animals in a barn using a system of equations?

Back

Set up equations based on the total number of animals and the total number of legs, then solve the system.

Tags

CCSS.8.EE.C.8C

Front

What is the significance of the coefficients in a system of equations?

Back

Coefficients represent the relationship between the variables; they indicate how many units of each variable are involved in each equation.

Tags

CCSS.HSA.REI.C.8