Algebraic Equations with Multiple Variables

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

In the equation 2x + 3y = 19, what is/are the variable(s)? Choose the best answer.

• x

• y

• =

• Both x and y are variables

What branch of mathematics deals with equations with variables?

• Algebra

• Geometry

• Calculus

• Physics

If x=5 and y=3 then what is 3x+5y=

Mathematical Equivalence

ON

In the equation 2x + 3y = 19, what is the constant?

• y

• 19

• x

• 2

When solving Algebraic Equations, in order to isolate a variable, you must use:

• Order of Operations

• Inverse Operations

• Algebraic Expressions

• Order of Operations

In both Algebraic Expressions and Algebraic Equations there are _________ that represent an unknown value.

• Percent

• Integers

• Inverse Operations

• Variables

The main goal of solving equations is to get the _________ by itself.

• Coefficient

• Variable

• Constant

• Term

What is the equation that represents the relationship in the table?

• p + 3 = d

• d + 3 = p

• d = p + 3

• p = d + 3