Math 1 Unit 4 Review - Equations & Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you represent a situation where a person needs to earn at least a certain amount?

Back

You can represent this situation using an inequality, such as '15h ≥ 105', where 'h' is the number of hours worked.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the equation -5k + 10 = -2k - 14?

Back

To solve, first combine like terms: 3k = 24, then divide by 3 to get k = 8.

Front

What is the first step in solving the inequality -5x + 2 > 22?

Back

Subtract 2 from both sides to isolate the term with x: -5x > 20.

Front

How do you isolate 'x' in the inequality 12x + 25 > 200?

Back

Subtract 25 from both sides to get 12x > 175, then divide by 12 to find x.

Front

What is the solution to the equation 30 + 6t = 11t?

Back

To solve, subtract 6t from both sides: 30 = 5t, then divide by 5 to get t = 6.

Front

What does it mean to graph an inequality on a number line?

Back

Graphing an inequality on a number line shows all the possible values that satisfy the inequality.

Front

What is the difference between '>' and '≥' in inequalities?

Back

'>' means greater than, while '≥' means greater than or equal to.