2023 Algebraic Reasoning Fall Final Review

Front

Which operation would you use to undo the equation x + 5 = 8 to solve for x?

Back

Subtraction

Front

What are the coefficients of the expression 2x + 9 + 7x?

Back

2, 7

Front

Which operation would you use to undo the equation 5x = -20 to solve for x?

Back

Division

Front

What is the range of the function shown on the graph in Set Builder Notation?

Back

{y| -2 ≤ y ≤ 2}

Front

Simplify the expression 2r + 2 + 5r - 2 + r.

Back

8r

Front

What is the definition of a coefficient in algebra?

Back

A coefficient is a numerical factor in a term of an algebraic expression.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to isolate the variable and solve for its value.

Front

Define the term 'range' in the context of functions.

Back

The range is the set of all possible output values (y-values) of a function.

Front

What is the process of combining like terms in an algebraic expression?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable.

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.