7.11A Two step equations and inequalities

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order of operations.

Front

What does it mean when an inequality is represented as 'x < a'?

Back

It means that the value of x is less than a.

Front

Solve the inequality: -3x - 4 < 5. What is the solution?

Back

x > -3.

Front

What is the first step to solve the equation: 21 = 9x + 3?

Back

Subtract 3 from both sides to get 18 = 9x.

Front

If Jim paid a total of $290 for a gym membership fee of $50 plus $20 per month, how many months has he been a member?

Back

12 months.

Front

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

Back

It means 'less than or equal to'.

Front

Solve the inequality: -4x + 14 ≤ 54. What is the solution?

Back

x ≥ -10.

Front

What is the solution to the equation: 21 = 9x + 3?

Back

x = 2.

Front

What does it mean when an inequality is represented as 'a > b'?

Back

It means that the value of a is greater than b.