Exploring Applications of Systems of Equations

What is the first step in solving word problems with systems of equations?

• Answer in words

• Solve the equations

• Write the equations

• Define the variables

What method is used when the equations have common coefficients?

• Substitution

• Graphing

• Elimination

• None of the above

In the first example, what is the sum of the two numbers?

• 18

• 32

• 25

• 50

In the second example, what does the first number plus twice the other number equal?

• 17

• 11

• 39

• 6

How do you create common coefficients for equations?

• Subtract the equations

• Divide the equations

• Multiply the equations by opposite coefficients

• Add the equations

What is the cost of one box of pens in the third example?

• $185

• $2255

• $1645

• $4.25

What is the cost of one box of pencils in the third example?

• $1645

• $2255

• $185

• $4.25

How much did Gabby pay for four pens and five pencils?

• $671

• $6.71

• $7.12

• $712

What is the cost of one pen in the fourth example?

• $1.19

• $0.26

• $208

• $4.76

What is the cost of one pencil in the fourth example?

• $208

• $0.26

• $1.19

• $4.76