Algebraic Expressions Review (7th Grade)

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

How do you combine like terms in the expression 3x + 5x - 2y + 4y?

Back

Combine the x terms (3x + 5x = 8x) and the y terms (-2y + 4y = 2y) to get 8x + 2y.

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 each term inside a set of parentheses.

Front

How do you simplify the expression 2(3x + 4) - 5?

Back

Using the distributive property, first distribute: 2 * 3x + 2 * 4 = 6x + 8. Then subtract 5: 6x + 8 - 5 = 6x + 3.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

What is the value of a in the equation a(5x + 4) = b + 15x if b = 3?

Back

To find a, set the equation: a(5x + 4) = 3 + 15x. Solving gives a = 3.

Front

How do you evaluate the expression 54 - 6 * 3 + 4^2?

Back

According to the order of operations, first calculate 4^2 = 16, then 6 * 3 = 18. Finally, perform the operations from left to right: 54 - 18 + 16 = 52.

Front

What is the result of simplifying the expression 7m + 4n - 9m + 8 - 2n?

Back

Combine like terms: (7m - 9m) + (4n - 2n) + 8 = -2m + 2n + 8.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.