math lsae

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

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality -9x + 7 ≥ 25?

Back

Subtract 7 from both sides: -9x ≥ 18. Then divide by -9 (remember to flip the inequality): x ≤ -2.

Front

What does it mean to combine like terms in an inequality?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the inequality 6x - 5 + 7x > 34?

Back

Combine like terms: 13x - 5 > 34. Then add 5 to both sides: 13x > 39. Finally, divide by 13: x > 3.

Front

When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide both sides of the inequality by a negative number.

Front

What does the graph of x < -2 look like?

Back

The graph of x < -2 is a number line with an open circle at -2 and a line extending to the left.

Front

What is the maximum number of people Andrea can invite if Lazer Zone charges $15 plus $6 per person and she has $100?

Back

Set up the inequality: 15 + 6x ≤ 100. Solve for x: 6x ≤ 85, so x ≤ 14.17. Andrea can invite a maximum of 14 people.

Front

What is the difference between 'less than' and 'less than or equal to'?

Back

'Less than' (<) means the value cannot equal the number, while 'less than or equal to' (≤) means the value can equal the number.