Modeling +/- Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the purpose of modeling equations?

Back

Modeling equations helps represent real-world situations mathematically, allowing us to analyze and solve problems.

Front

What is the solution to the equation x + 6 = 13?

Back

x = 7

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the equation for the model: 'A number decreased by 2 equals -10'?

Back

x - 2 = -10

Front

What is the equation for the model: 'A number plus 6 equals -11'?

Back

x + 6 = -11

Front

What is the solution to the equation 3B + 1 = 6?

Back

B = 5/3 or approximately 1.67

Front

What does the term 'inverse operation' mean?

Back

Inverse operations are pairs of operations that undo each other, such as addition and subtraction or multiplication and division.

Front

What is the equation for the model: 'The sum of a number and -6 equals -11'?

Back

x + (-6) = -11