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. For example, in the equation 2x + 3 = 7, you would first subtract 3 from both sides and then divide by 2.

Front

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

Back

To isolate a variable in a two-step equation, perform the inverse operations in reverse order. First, eliminate the constant term by adding or subtracting, then eliminate the coefficient by multiplying or dividing.

Front

What does it mean to solve an inequality?

Back

Solving an inequality means finding the range of values for the variable that makes the inequality true. For example, in the inequality x + 5 > 10, the solution is x > 5.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.

Front

What is the solution to the equation 30.16 = 17.56 + 5X?

Back

X = 2.52.

Front

How do you check the solution of an equation?

Back

To check the solution of an equation, substitute the value of the variable back into the original equation to see if both sides are equal.

Front

What is the first step in solving the equation 45w + 123.95 = 753.95?

Back

The first step is to subtract 123.95 from both sides to isolate the term with the variable.

Front

What is the value of x if the measure of angle M is (5x + 10) and angle R is 55, given that M + R = 90°?

Back

x = 7.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value. This means that any operation performed on one side must also be performed on the other side.

Front

What is the solution to the equation 2(x - 3) = 22?

Back

X = 14.