Systems Word Problems

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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 represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and express them in a system.

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CCSS.HSA.CED.A.3

Front

What does it mean to solve a system of equations?

Back

To find the values of the variables that satisfy all equations in the system simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

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.

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.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the meaning of 'x' and 'y' in a system of equations?

Back

In a system of equations, 'x' and 'y' typically represent the unknown quantities we are trying to find.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How can you check the solution of a system of equations?

Back

Substitute the values of the variables back into the original equations to verify that both equations are satisfied.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a word problem?

Back

A word problem is a mathematical problem presented in the form of a narrative, requiring interpretation and translation into mathematical expressions.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value in an equation or expression.

Tags

CCSS.6.EE.A.2B