Systems of Equations Substitution Quiz

What is the first step in solving a system of equations by substitution?

• Add both equations together and solve for one variable.

• Multiply both equations by a common factor.

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

• Substitute one equation into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which method is used to find the solution to a system of equations using substitution?

• Division method

• Substitution method

• Multiplication method

• Addition method

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the main advantage of using substitution to solve systems of linear equations?

• It allows for solving equations with multiple variables by graphing them.

• It allows for solving equations with multiple variables by isolating one variable and substituting it into the other equations.

• It allows for solving equations with multiple variables by multiplying or dividing them.

• It allows for solving equations with multiple variables by adding or subtracting them.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the substitution method used for in solving systems of equations?

• To simplify systems of equations

• To solve systems of equations

• To graph systems of equations

• To find the slope of systems of equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the substitution method, what is the next step after substituting one equation into another?

• Graph the equation

• Multiply both sides by a constant

• Combine like terms

• Solve the resulting equation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When solving a system of equations by substitution, what should be done with the variables in the substituted equation?

• Replace them with the original variables.

• Ignore them and solve the equation as is.

• Replace them with the expression obtained from solving the other equation for that variable.

• Multiply them by a constant factor before substitution.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the final step in solving a system of equations using substitution?

• Substitute the value found for one variable back into one of the original equations and solve for the other variable.

• Multiply both equations by a random number and solve for both variables.

• Choose a random value for one of the variables and solve for the other variable.

• Substitute the value found for one variable back into both of the original equations and solve for both variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to a system of equations when using the substitution method?

• The solution to a system of equations when using the substitution method is the values of the variables that satisfy one equation.

• The solution to a system of equations when using the substitution method is the product of the equations.

• The solution to a system of equations when using the substitution method is the values of the variables that satisfy both equations.

• The solution to a system of equations when using the substitution method is the sum of the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which of the following is a correct example of using substitution to solve a system of equations? Equation 1: 2x + 3y = 8 Equation 2: x - y = 2 A) x = 4, y = 2 B) x = 2, y = 4 C) x = 3, y = 1 D) x = 1, y = 3

• B) x = 2, y = 4

• A) x = 4, y = 2

• C) x = 3, y = 1

• x = 14/5, y = 4/5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6