Solving Equations High School

Solve this system using substitution.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Solve the following system by using elimination:

• (1, 5)

• (1, -1)

• (-1, -1)

• (5, 1)

The senior classes at High School A and High School B planned separate trips to the state fair. The senior class at High School A rented and filled 9 vans and 7 buses with 263 students. High School B rented and filled 8 vans and 9 buses with 306 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus. ​ Write a system of equations that can be used to determine v, the number of students that can fit into a van and b, the number of students that can fit into a bus

• 9v+7b=263 and 8v+9b=306

• 26

• 9

• 7v+9b=263 and 9v+8b=306

• 8

• 28

• 9v+7b=306 and 8v+9b=263

• 16vb=263 and 17vb=306

Let's solve a system by GRAPHING. Put the steps in order from first to last.

• Solve both equations for y to get slope-intercept form

• Graph both lines using the slope and y-intercept

• The intersection point is the solution

• Graphing

• Substitution

• Elimination

• Graphing

• Substitution

• Elimination

• Graphing

• Elimination

• Substitution

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  Which system of equations could be used to find the exact number of dimes and nickels? 

• d + n = 6.60
  .10d + .05n = 80

• d + n = 80
  d + n = 6.60

• d + n = 80
  .10d + .05n = 6.60

• d + n = 80
  .05d + .10n = 6.60

Solve  3x - 7 = 32

• 13

• -13

• 12

• -12

Solve 2x - 3 = 1 

• 3

• 2

• 1

• -2