Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean when an equation has no solution?

Back

An equation has no solution when there are no values that can satisfy the equation, often resulting in a contradiction.

Front

What does it mean when an equation has all real numbers as a solution?

Back

It means that any value for the variable will satisfy the equation, indicating that the two sides are equivalent for all values.

Front

Solve for y: 3y + 5 = 20

Back

y = 5.

Front

Solve for x: 4(x - 2) = 12

Back

x = 5.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8.

Front

Solve for z: 5z - 10 = 0

Back

z = 2.

Front

What is the solution to the equation 6x + 2 = 20?

Back

x = 3.

Front

Solve for a: 7a + 14 = 0

Back

a = -2.