Solving Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables (like x and y), and operations (like addition, subtraction, multiplication, and division).

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with given numbers.

Front

Evaluate: 2x + 5(y - 1) when x=8 and y=5.

Back

36

Front

Evaluate: (-a)(b)(-a + b) when a = -4 and b = -1.

Back

-12

Front

Evaluate: -2(-a - 5) + 2 when a = 15.

Back

42

Front

What is simplification in algebra?

Back

Simplification is the process of reducing an expression to its simplest form by combining like terms and performing operations.

Front

Simplify: 15w - 3n + 4m when w = 2, n = -7, m = 3.

Back

63

Front

Evaluate: 6a + 2(c - b) when a = 2, b = 1, c = 9.

Back

28

Front

What are like terms?

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

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.