Solving Algebra Word Problems with Systems of Equations

Which methods have been discussed for solving systems of equations?

• Graphing, Elimination, and Addition

• Substitution, Elimination, and Division

• Graphing, Substitution, and Multiplication

• Graphing, Substitution, and Elimination

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

• Dividing the equations

• Multiplying the equations

• Writing equations from the given situation

• Graphing the equations

In the word problem involving tulip and daffodil bulbs, what do the variables T and D represent?

• Number of packages sold

• Cost of one package of tulip bulbs and one bag of daffodil bulbs

• Number of tulip bulbs and daffodil bulbs

• Total sales of tulip bulbs and daffodil bulbs

What is the system of equations derived from the tulip and daffodil bulbs problem?

• 8T + 6D = 218 and 3T + 6D = 267

• 8T + 6D = 267 and 3T + 12D = 218

• 8T + 12D = 218 and 3T + 6D = 267

• 8T + 6D = 218 and 3T + 12D = 267

What is the next step after setting up the system of equations?

• Graphing the equations

• Substituting one equation into the other

• Eliminating one of the variables

• Adding the equations

What is the value of T after solving the system of equations?

• 13

• 15

• 14

• 12

After finding T, what is the next step?

• Eliminating the other variable

• Multiplying the equations

• Graphing the equations

• Substituting T back into one of the equations

What is the cost of one bag of daffodil bulbs?

• $20

• $19

• $18

• $17

In the second example problem, what do the variables G and S represent?

• Number of square feet sold

• Total sales of grass sod and shrubs

• Cost of one square foot of grass sod and one shrub

• Number of grass sod and shrubs

What is the cost of one square foot of grass sod in the second example problem?

• $4

• $1

• $2

• $3