Writing Systems of Equations from 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 the variable 'S' typically represent in ticket sales problems?

Back

In ticket sales problems, 'S' usually represents the number of student tickets sold.

Tags

CCSS.6.EE.B.8

Front

What does the variable 'A' typically represent in ticket sales problems?

Back

In ticket sales problems, 'A' usually represents the number of adult tickets sold.

Tags

CCSS.8.EE.C.8C

Front

How do you write an equation for total tickets sold?

Back

Tags

CCSS.HSA.CED.A.3

Front

How do you write an equation for total revenue from ticket sales?

Back

Tags

CCSS.HSA.CED.A.3

Front

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

Back

The first step is to write the system of equations based on the problem's information.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system of equations graphically?

Back

Solving graphically means plotting the equations on a graph and finding the point(s) where they intersect, which represents the solution.

Tags

CCSS.8.EE.C.8B

Front

What is substitution in solving systems of equations?

Back

Substitution is a method where you solve one equation for one variable and then substitute that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is elimination in solving systems of equations?

Back

Elimination is a method where you add or subtract equations to eliminate one variable, making it easier to solve for the other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6