Algebra C&C Support Review 2

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \).

Front

Identify the inequality that represents 'fewer than 150 children'.

Back

The inequality is \( c < 150 \).

Front

What is the interquartile range (IQR)?

Back

The interquartile range is the difference between the first quartile (Q1) and the third quartile (Q3) in a data set, representing the middle 50% of the data.

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is given by \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Front

How do you find the common difference in an arithmetic sequence?

Back

The common difference is found by subtracting any term from the subsequent term in the sequence.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term \( a_n \) can be calculated using the formula \( a_n = a_1 + (n-1)d \), where \( a_1 \) is the first term and \( d \) is the common difference.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, often represented by a letter, that stands for a number that can change or vary.

Front

What does it mean for an equation to be in standard form?

Back

An equation is in standard form if it is written as \( Ax + By = C \), where A, B, and C are integers, and A is non-negative.

Front

What is the difference between a linear equation and a nonlinear equation?

Back

A linear equation graphs as a straight line and has no variables raised to a power greater than one, while a nonlinear equation graphs as a curve.

Front

What is the purpose of factoring in algebra?

Back

Factoring is used to simplify expressions, solve equations, and find roots of polynomials.