Unit 6 Equivalent Expressions and One-Variable Equations

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value for all values of the variable(s) involved.

Front

How do you solve a one-variable equation?

Back

To solve a one-variable equation, isolate the variable on one side of the equation using inverse operations.

Front

What does it mean to factor a number?

Back

Factoring a number means breaking it down into its prime components that, when multiplied together, give the original number.

Front

What is the prime factorization of 110?

Back

The prime factorization of 110 is 2 × 5 × 11.

Front

What is the perimeter of a square?

Back

The perimeter of a square is calculated by adding the lengths of all four sides, or by using the formula P = 4s, where s is the length of one side.

Front

If the perimeter of two squares is 154.3 inches and one square has a perimeter of 42 inches, how do you find the perimeter of the other square?

Back

Subtract the perimeter of the first square from the total perimeter: 154.3 - 42 = 112.3 inches.

Front

What is an equation?

Back

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

Front

What does it mean for two expressions to be equal?

Back

Two expressions are equal if they have the same value for the same input.

Front

How do you determine the value of a variable in an equation?

Back

To determine the value of a variable, manipulate the equation to isolate the variable on one side.

Front

What is the solution to the equation -75 = -200 + x?

Back

The solution is x = 125.