Quarterly Review #2 Regular

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in the expression 4x, 4 is the coefficient.

Front

What is the result of applying the distributive property to the expression 3(3x + 1)?

Back

The result is 9x + 3.

Front

Solve for x in the equation -22 + x = -42.

Back

x = -20.

Front

Apply the distributive property to create an expression equivalent to 2(9 + 2w).

Back

The equivalent expression is 18 + 4w.

Front

Apply the distributive property to create an expression equivalent to 3(10w + 5).

Back

The equivalent expression is 30w + 15.

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 4x + 5 is an algebraic expression.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression x + 5, x is a variable.

Front

What is the difference between an equation and an expression?

Back

An equation is a mathematical statement that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.