Algebra Class: Expressions and Operations

Questions and Answers

What is an algebraic expression?

A statement that two expressions are equal.

An equation with no variables.

A group of numbers and symbols that express an operation. (correct)

A single number.

What is a coefficient?

A number which multiplies a variable.

What is a constant?

A number with a value that is always the same.

What is a dependent variable?

A variable whose value is determined by the value of the independent variable. Signup and view all the answers

What is the definition of an expression?

A statement that two mathematical expressions are equal. Signup and view all the answers

What is an equivalent expression?

The same number or equal to one another. Signup and view all the answers

What does it mean to evaluate an expression?

To replace an expression with a number and then solve it. Signup and view all the answers

What is an exponent?

A number that tells how many equal factors there are. Signup and view all the answers

What is a formula in mathematics?

A set of numbers that express a mathematical rule. Signup and view all the answers

What is an independent variable?

A variable whose value determines that of a dependent variable. Signup and view all the answers

What is an inequality?

A mathematical sentence that compares two unequal expressions. Signup and view all the answers

Study Notes

Algebraic Expressions

Algebraic expressions consist of numbers, symbols, and variables representing one or more operations.
Example: In the expression 7x + 8, both the variable x and the number 8 are part of the expression.

Coefficient

A coefficient is a numerical factor that multiplies a variable within an expression.
In the expression 7x + 8, the coefficient is 7.

Constant

A constant is a specific numerical value that remains unchanged.
In the expression 7x + 8, the constant term is 8.

Dependent Variable

The dependent variable in a function is determined by the value of the independent variable.
Its value changes in response to modifications of the independent variable.

Expression

An expression signifies that two mathematical quantities or operations are equivalent.
Example: 3 * 5 = 7 + 8 demonstrates that both sides yield the same value.

Equivalent Expression

Equivalent expressions yield the same result or value despite having different appearances.
Example: Both 4 * 4 and 9 + 7 equal 16.

Evaluate

Evaluating an expression involves substituting variables with numbers and performing the operations to simplify.
For instance, replacing 'a' in 4 + a when a = 2 results in 4 + 2 = 6.

Exponent

An exponent indicates how many times a number (the base) is multiplied by itself.
For example, in ( x^3 ), the exponent is 3, denoting ( x \times x \times x ).

Formula

A formula is a mathematical statement or equation that expresses a rule or relationship between variables.
An example is the area of a rectangle, represented by A = l * w, where l is the length and w is the width.

Independent Variable

The independent variable is the input value in a function that influences the dependent variable's output.
It is the variable that stands alone and isn't affected by other variables in the equation.

Inequality

An inequality is a mathematical statement that compares two non-equal expressions using symbols, such as >, <, or ≠.
Inequalities demonstrate relational differences between quantities.

Description

Test your knowledge of algebraic expressions and the fundamental operations associated with them. This quiz will help reinforce your understanding of terms like coefficients and constants through flashcards. Prepare to strengthen your algebra skills!