two step equations

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 reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

Solve for x: 2x + 5 = 15.

Back

x = 5.

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means ensuring both sides of the equation are equal by performing the same operation on both sides.

Front

Write a two-step equation for: 'Three times a number minus 4 equals 11.'

Back

3x - 4 = 11.

Front

Solve for y: 4y - 8 = 16.

Back

y = 6.

Front

What is the first step to solve the equation 50 + 20m = 290?

Back

Subtract 50 from both sides: 20m = 240.

Front

If 7x + 35 = 63, what is the value of x?

Back

x = 4.

Front

What is the purpose of using variables in equations?

Back

Variables represent unknown values that we can solve for using algebraic methods.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.