Modeling Equations

What is a term in mathematics?

• A single mathematical expression that can be a number, variable, or the product of numbers and variables.

• A collection of numbers that are added together.

• A type of equation that shows a relationship between two variables.

• A graphical representation of data points.

What is the equation for the model if a white square = 1, a rectangle = x, and a red square = -1?

• 7 = x + 3

• 7 = x - 3

• 7 = x + (-3)

• 7 = -x + 3

What does it mean to 'balance' an equation?

• To keep both sides of the equation equal by performing the same operation on both sides.

• To change one side of the equation to make it larger than the other side.

• To ignore one side of the equation and focus only on the other side.

• To add random numbers to both sides of the equation.

What is the solution to the equation: 2x + 4 = 12?

• x = 2

• x = 3

• x = 4

• x = 5

What is a mathematical sentence that has an equal sign?

• Expression

• Equation

• Inequality

• Function

What is the first step in solving the equation: 3(x - 2) = 9?

• Distribute the 3 to both terms inside the parentheses.

• Add 2 to both sides of the equation.

• Multiply both sides by 3.

• Subtract 9 from both sides of the equation.

Which equation matches the picture if it shows 3B and 1 equals 6?

• B + 3 = 6

• 3B + 1 = 6

• B - 3 = 6

• 3B - 1 = 6

What does 'coefficient' mean?

• A numerical factor in a term of an algebraic expression.

• A variable in a mathematical equation.

• A constant value that does not change.

• A symbol used to represent a number.

What is the equation that represents the verbal statement: 'The sum of x and six is eight'?

• x + 6 = 8

• x - 6 = 8

• x + 6 = 14

• 6x = 8

What is the purpose of solving an equation?

• To find the value of the variable that makes the equation true.

• To simplify the equation to its lowest terms.

• To determine the number of solutions the equation has.

• To graph the equation on a coordinate plane.