4B.3 Day 2 Solving System of Equation 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 in 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

Define 'variable' in the context of equations.

Back

A variable is a symbol (often x, y, or z) that represents an unknown value in an equation.

Tags

CCSS.6.EE.B.6

Front

What does it mean for two equations to be consistent?

Back

Two equations are consistent if they have at least one solution (they intersect at one or more points).

Tags

CCSS.8.EE.C.8B

Front

What does it mean for two equations to be inconsistent?

Back

Two equations are inconsistent if they have no solutions (they are parallel and never intersect).

Tags

CCSS.8.EE.C.8A

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem expressed in words rather than numbers or symbols, requiring interpretation to formulate an equation.

Tags

CCSS.8.EE.C.7B

Front

How do you translate a word problem into an equation?

Back

Identify the variables, determine the relationships described in the problem, and write an equation that represents those relationships.

Tags

CCSS.HSA.CED.A.1

Front

What is the importance of units in word problems?

Back

Units help clarify what quantities are being measured and ensure that calculations are consistent and meaningful.

Tags

CCSS.8.EE.C.7B

Front

How do you check your solution in a system of equations?

Back

Substitute the solution back into the original equations to verify that both equations are satisfied.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6