EOG Remediation (Expressions & Equations)

What is the step-by-step process that we use to solve multi-step equations?

• DTR

• DCMAM

• Just guess a random number

4(2a + 3) = −3(a − 1) + 31

• a = 4

• a = -2

• a = -4

• a = 2

2 ( x + 5 ) - 7 = 3 ( x - 2 )

• x = 6

• x = -14

• x = 9

• x = 28

4 - 5p = 5(6 + p) + 3p

• -2

• 2

• -8

• 8

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

The solution to the system is

• (-2, -8)
• (-8, -2)
• (2, -8)
• No solution

Customers can pay $47 to rent a compact car for the first day plus $2 for each additional day, OR they can rent the same car for $21 the first day and $15 for every additional day beyond that. Write a system of equations.

• y = 47x + 2

  y = 15x + 21

• y = 2x + 47

  y = 21x + 47

• y = 2x + 47

  y = 15x + 21

• (2,51)

  For 2 days, Alma would pay $51 either way.

• (3,35)

  For 3 days, Alma would pay $53 either way.

• (5,57)

  For 5 days, Alma would pay $57 either way.

The volleyball team and the wrestling team are having a joint car wash. The volleyball team gets $5 per car. In addition, they have already brought in $36 from past fundraisers. The wrestling team has raised $101 in the past, and they are making $4 per car today. Write a system of equations.

• y = 5x + 101

  y = 4x + 36

• y = 4x + 101

  y = 36x + 5

• y = 5x + 36

  y = 4x + 101