Algebra Classwork 5/6

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more inequalities using the words 'and' or 'or'. For example, x < 5 and x > 1.

Front

How do you graph a compound inequality?

Back

To graph a compound inequality, first graph each inequality separately on the same number line, then find the intersection (for 'and') or the union (for 'or') of the two graphs.

Front

Simplify the expression: (8x^2 - 4x - 8) + (3x^2 - 7x - 3)

Back

11x^2 - 11x - 11.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |-3| = 3.

Front

Evaluate -2|n + 5| when n = -11.

Back

-12.

Front

What does it mean to simplify an expression?

Back

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

Front

What is the formula for the total cost of renting a car?

Back

Total Cost = Flat Fee + (Cost per Mile × Number of Miles Driven).

Front

If a rental company charges a flat fee of $30 and $0.25 per mile, what is the total cost for 200 miles?

Back

$60.

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting the coefficients of like terms while keeping the variable part the same.