Solving Systems 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 point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method for solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to graph a system of equations?

Back

Graphing a system of equations involves plotting each equation on the same coordinate plane to visually find the point(s) of intersection.

Tags

CCSS.8.EE.C.8B

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem presented in a narrative form, requiring translation into equations to solve.

Front

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

Back

Identify the variables, translate the relationships and conditions into equations, and set them up as a system.

Tags

CCSS.HSA.CED.A.3

Front

What is the importance of checking your solution in a system of equations?

Back

Checking your solution ensures that the values satisfy all equations in the system, confirming that the solution is correct.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the meaning of 'cost' in a word problem context?

Back

Cost refers to the total amount of money spent on items or services, often represented in equations to find unknown values.

Tags

CCSS.7.EE.B.4A

Front

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

Back

Identify the constraints or limits in the problem, then express them using inequality symbols (>, <, ≥, ≤) based on the context.

Tags

CCSS.6.EE.B.8