Exponents and Expressions Quiz

A number multiplied by itself a certain number of times. For example, 5 raised to the power of 3 (or 5 cubed) is 5 * 5 * 5 = 125.

The number being multiplied in an exponent expression. For example, in 5 raised to the power of 3 (5 cubed), 5 is the base.

The result of multiplying a number by itself a certain number of times. For example, 5 raised to the power of 3 (or 5 cubed) is 125. 125 is the 3rd power of 5.

Multiplying a number by itself a certain number of times is written as 'a raised to the power of n' or 'a to the power of n', where 'a' is the base and 'n' is the exponent.

A number raised to the power of 2. For example, 5 squared (5^2) is 5*5=25

A number raised to the power of 3. For example, 5 cubed (5^3) is 555=125.

Any number or variable multiplied by itself a specified number of times (the exponent) can be expressed using exponents. For example, 7 multiplied by itself 3 times can be written as 7^3.

To compare two numbers written in exponential form, calculate their values and see which is greater.

A numerical factor that multiplies a variable in an algebraic expression. It's the number that sits in front of the variable.

Terms with the same algebraic factors (including variables and their exponents).

Terms with different algebraic factors. They cannot be combined directly.

In an expression, it's the term without any variables. It simply exists as a standalone number.

A combination of constants, variables, and mathematical operations (+, -, ×, ÷).

In an algebraic expression, it's the part with a variable or combination of variables. It's the 'action' part of the expression.

The process of determining the numerical coefficient of a specific variable in an expression.

Algebraic expressions with the same terms but different numerical coefficients. They have the same variable structure.

An expression obtained by multiplying a variable by itself. It is written as x raised to the power of 2, or x².

An expression obtained by multiplying a variable by itself three times. It is written as x raised to the power of 3, or x³.

An expression formed by combining variables with constants. Example: 4x + 5, where 4 is the constant and x is the variable.

A part of an algebraic expression that is separated by addition or subtraction. Example: In the expression 4x + 5, 4x and 5 are individual terms.

Numbers or variables that are multiplied together to form a term. Example: In the term 4x, 4 and x are factors.

An expression formed by multiplying variables with other variables. Example: xy, where x and y are variables.

An expression obtained by multiplying a term by a constant. Example: 3x², where 3 is the constant and x² is the term.

An expression obtained by adding or subtracting constants to a term. Example: 3x² - 5, where 5 is the constant and 3x² is the term.

The process of identifying and combining like terms in an algebraic expression.

A symbol that represents an unknown value.

A number that multiplies a variable in an algebraic expression.

When the coefficient of a term is +1, it is usually omitted. For example, 1x is written as x; 1x2y2 is written as x2y2.

The coefficient of a term is –1 and is indicated only by the minus sign. For example, (–1)x is written as –x; (–1)x2y2 is written as –x2y2.

A term that has no variables and only consists of a numerical value. It has a fixed value unaffected by the variable's value. For example, 4, 7, -5 are constants.

A term that includes variable(s) and possibly a coefficient.

A group of terms combined using addition or subtraction operations. For example, 8y + 3x2, 7mn – 4 are expressions.

The process of identifying all of the terms within an algebraic expression. For example, in 8y + 3x2, the terms would be 8y and 3x2.

The distance around a circle.

The line segment that connects the center of a circle to a point on the circle.

The line segment that passes through the center of a circle and has its endpoints on the circle.

The region enclosed by a circle.

The formula to calculate the area of a circle: Area = πr² where π (pi) is a constant approximately equal to 3.14 and r is the radius.

The formula to calculate the circumference of a circle: Circumference = 2πr where π (pi) is a constant approximately equal to 3.14 and r is the radius.

The space between two concentric circles.

Circles with the same center.