Solving Systems of Equations with Substitution

What method is being taught in this lesson for solving system of equations word problems?

• Graphing

• Substitution

• Elimination

• Matrix

In the hamburgers and hot dogs problem, what do the variables x and y represent?

• Number of hamburgers and hot dogs sold

• Cost of a hamburger and cost of a hot dog

• Total money made from hamburgers and hot dogs

• Number of people buying hamburgers and hot dogs

What is the first step in solving a word problem using the substitution method?

• Solve one of the equations for one variable

• Define the variables

• Insert the answer into the other equation

• Write down what you know

After defining the variables in the hamburgers and hot dogs problem, what is the next step?

• Insert the answer into the other equation

• Rewrite what you know in terms of the variables

• Combine like terms

• Solve one of the equations for one variable

What is the cost of a hot dog in the hamburgers and hot dogs problem?

• $22.00

• $10.40

• $7.25

• $17.65

In the rectangle dimensions problem, what does the variable l represent?

• Area of the rectangle

• Perimeter of the rectangle

• Length of the rectangle

• Width of the rectangle

What is the equation for the perimeter of a rectangle?

• 2l + 2w = Perimeter

• l * w = Perimeter

• 2l + w = Perimeter

• l + w = Perimeter

What is the width of the rectangle in the rectangle dimensions problem?

• 46 cm

• 3 cm

• 5 cm

• 18 cm

What is the length of the rectangle in the rectangle dimensions problem?

• 3 cm

• 18 cm

• 46 cm

• 5 cm

What is the final step in solving a word problem using the substitution method?

• Combine like terms

• Insert the answer into the other equation

• Define the variables

• Answer the question being asked