Systems Word Problems Practice

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 represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and ensure the equations represent the same scenario.

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CCSS.HSA.CED.A.3

Front

What does the variable 'x' typically represent in a system of equations?

Back

In a system of equations, 'x' usually represents one of the unknown quantities we are trying to solve for.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does the variable 'y' typically represent in a system of equations?

Back

In a system of equations, 'y' usually represents another unknown quantity that is related to 'x'.

Tags

CCSS.8.EE.C.8B

Front

How do you solve a system of equations graphically?

Back

Graph each equation on the same coordinate plane. The point(s) where the lines intersect represent the solution(s) to the system.

Tags

CCSS.8.EE.C.8B

Front

What is the substitution method for solving systems of equations?

Back

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

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.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a real-world example of a system of equations?

Back

A real-world example is determining the number of two types of animals in a barn based on their total count and total number of legs.

Tags

CCSS.8.EE.C.8C

Front

What does it mean if a system of equations has no solution?

Back

If a system has no solution, it means the equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has infinitely many solutions?

Back

If a system has infinitely many solutions, it means the equations represent the same line, and every point on that line is a solution.

Tags

CCSS.8.EE.C.8A