Algebra Semester Review

Front

What is relative frequency?

Back

Relative frequency is the ratio of the number of times an event occurs to the total number of trials or observations, often expressed as a percentage.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

Simplify the expression: 7v + 2 + 12 + 2v

Back

9v + 14

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations simultaneously.

Front

How do you solve a system of equations using substitution?

Back

To solve using substitution, solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.

Front

What is the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is calculated as P = 2(length + width).

Front

How do you find the dimensions of a rectangle given its perimeter?

Back

Set up the equation 2(length + width) = perimeter, then solve for the length and width using the given expressions.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and reduce it to its simplest form.

Front

What is a variable in algebra?

Back

A variable is a symbol (often a letter) that represents an unknown value in mathematical expressions or equations.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal and contains an equals sign (=), while an expression does not.