Algebraic Expressions Practice Flashcard

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 2x - 5, -5 is the constant.

Front

How do you evaluate an expression when given a value for the variable?

Back

To evaluate an expression, substitute the given value for the variable and perform the arithmetic operations. For example, for 3x + 8 when x = 2, substitute 2 for x to get 3(2) + 8 = 14.

Front

What is the result of evaluating the expression 2(a - 5) + 2 when a = 15?

Back

Substituting a = 15 gives 2(15 - 5) + 2 = 2(10) + 2 = 20 + 2 = 22.

Front

What does it mean to combine like terms in an algebraic expression?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power. For example, in 5a + 2b - 3a + 4, combine 5a and -3a to get 2a, resulting in 2a + 2b + 4.

Front

What is the understood coefficient of a variable when no number is written in front of it?

Back

When no number is written in front of a variable, it is understood to be 1. For example, x is the same as 1x.

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 4 is an algebraic expression.

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents an unknown value and can change, while a constant is a fixed value that does not change.

Front

How do you simplify the expression 5a + 2b - 3a + 4?

Back

To simplify, combine like terms: 5a - 3a = 2a, so the expression simplifies to 2a + 2b + 4.

Front

What is the value of the expression 4x + 3 when x = 1?

Back

Substituting x = 1 gives 4(1) + 3 = 4 + 3 = 7.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the values of the variables and performing the necessary operations.