7.11B & 7.10B

Front

What is an equation in one variable?

Back

An equation that contains only one variable, such as x, and can be solved to find the value of that variable.

Front

How do you solve the equation 6x + 10 = -8?

Back

Subtract 10 from both sides to get 6x = -18, then divide by 6 to find x = -3.

Front

What does a number line represent in solving equations?

Back

A number line visually shows the possible solutions to an equation or inequality.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like >, <, ≥, or ≤.

Front

How do you solve the inequality -7x - 13 ≥ 8?

Back

Add 13 to both sides to get -7x ≥ 21, then divide by -7 (remember to flip the inequality) to find x ≤ -3.

Front

What is the solution set of an inequality?

Back

The set of all values that satisfy the inequality.

Front

How do you graph the solution of an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

Front

What does the symbol '≥' mean?

Back

It means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

It means 'less than or equal to'.

Front

How do you solve the inequality 77 ≤ 5 + 8n?

Back

Subtract 5 from both sides to get 72 ≤ 8n, then divide by 8 to find n ≥ 9.