Unit 1 Algebra 1 Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥, indicating that one expression is less than, greater than, or equal to another.

Front

How do you solve the inequality 8 - 4x < 20?

Back

To solve the inequality, first isolate x: 8 - 4x < 20 -> -4x < 12 -> x > -3.

Front

What is the budget constraint in a word problem?

Back

A budget constraint is a limitation on the spending capacity of an individual or entity, often represented by an equation or inequality.

Front

If Cassie buys 4 packages of pens at $10 each, how much does she spend?

Back

Cassie spends 4 packages * $10/package = $40 on pens.

Front

How do you calculate the remaining budget after spending?

Back

Remaining budget = Total budget - Amount spent.

Front

What is the formula for Ms. Schuster's phone bill?

Back

.5(x - 200) + 40, where x is the number of texts sent.

Front

What does the term 'base fee' mean in a billing context?

Back

A base fee is a fixed charge that is applied before any additional costs are added, such as usage fees.

Front

How do you simplify the expression 7 - (x + 5) + 2(x - 9)?

Back

Simplifying gives: 7 - x - 5 + 2x - 18 = x - 16.

Front

What is the solution to the inequality 4x + 14 < -2(4x - 1)?

Back

The solution is x < -1.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.