Equations With Multiple Variables

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

Solve for x:

12k + 15 = 35 +2k

• k = 2

• k = 4

• k = -2

• k = -4

Evaluate 2a + 4b 
if a = 10     and    b = 6

• *Only type in the value...you don't need to use the variable(s).

Mathematical Equivalence

ON

A car is traveling from I-35 E in lewisville, Texas Oklahoma City. The table below shows a period of the car's journey and the relationship between time and distance traveled in miles. If h represents the amount of time in hours that has passed since 11:00 am and m represents the miles traveled, which equation best represents the relationship among these quantities?

Solve for x:

-16 + 7n + n = 8n + 4n

• -4

• -14

• -16

• 11

Select all the methods you can use to solve a system of equations

• Graphing

• Elimination

• Substitution

• Using a Table

• Desmos

A method of solving a system of linear equations that creates like terms that add to zero

• Substitution Method

• Elimination Method

• Graphing Method

• Solving Method

What program can you use to quickly check and/or solve a system of linear equations?

• delta math

• desmos

• math way

• photo math