Solving Linear Systems with Substitution Practice

What is the first step in solving a linear system with substitution?

• Pick a random variable to solve for.

• Guess the value of one of the variables.

• Solve one of the equations for one of the variables in terms of the other variable.

• Solve both equations simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When substituting one equation into another, what should be done with the variable being substituted?

• Replace it with the expression or value it represents. Make sure to use parentheses!

• Ignore it completely.

• Divide it by 3.

• Multiply it by 2.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In a linear system, if one equation is already solved for a variable, what can be done next?

• Multiply the other equation by the solved value.

• Ignore the other equation.

• Solve the other equation for the same variable.

• Substitute the solved value back into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the final step in solving a linear system with substitution?

• Multiply the equations together.

• Divide the equations by a common factor.

• Substitute the found value back into one of the other equations.

• Substitute the found value back into one of the original equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to a linear system with substitution?

• The sum of the equations.

• Values of the variables that satisfy both (or all of the) equations.

• The product of the equations.

• The difference of the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (2, -3)

• (3, 2)

• (-3, -2)

• (-2, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (6, -6)

• (-6, -6)

• (6, -8)

• (-3, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• No Solution

• (2, 2)

• (-1, 2)

• (-1, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• Infinite number of solutions

• (7, 5)

• (-1, 5)

• No Solution

Tags

CCSS.8.EE.C.8B