Set Up and Solve Equations

Define the variables, set up a system of equations and solve using the substitution method.

• 6 dimes & 11 quarters

• 5 dimes & 13 quarters

• 8 dimes & 4 quarters

• 7 dimes & 12 quarters

Answer the following question and explain your answer.

• Always

• Sometimes

• Never

Define the variables, set up a system of equations and solve using the substitution method.

• corn: 146 acres; tomatoes: 123 acres; sunflowers: 61 acres

• corn: 152 acres; tomatoes: 112 acres; sunflowers: 56 acres

• corn: 117 acres; tomatoes: 98 acres; sunflowers: 42 acres

• corn: 134 acres; tomatoes: 114 acres; sunflowers: 84 acres

Solve the system of equations using any method. Explain why you chose this method,

• No Solution

• (-3, 7)

• (8, 4)

• (4, 10)

Solve the system of equations using any method. Explain why you chose this method.

• Infinitely Many Solutions

• (0, 6)

• (-1, 4)

• (12, -5)

What is the first step to solve the following equation?

|2x - 1| = -5

• Add 1 to both sides

• Set up 2 equations:

  2x - 1 = 5

  2x - 1 = -5

• No Solution

• Divide by 2 on both sides.

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

What is the best method to use?

4x + 8y = 20

−4x + 2y = −30

• Graphing

• Substitution because a variable is defined

• Elimination because the equations are in standard form

What is the proper way to set up the equation to begin solving?

y = 6x − 11

−2x − 3y = −7

• -2(-11) -3y= -7

• -2(6x-11) -3y = -7

• -2x -3(11) = -7

• -2x - 3(6x-11)= -7

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

• X because they have opposite signs

• Y because they have opposite signs