One Step Equations & Word Problems

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically by performing the inverse operation to isolate the variable.

Front

Solve the equation: n + 5 = -13

Back

n = -18

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side of the equation by itself.

Front

Solve the equation: 7x + 35 = 63

Back

7x = 28, so x = 4.

Front

What is the first step to solve the equation: -5x = 25?

Back

Divide both sides by -5 to isolate x.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a story or real-life scenario, requiring interpretation and translation into a mathematical equation.

Front

Write the equation for Scott's car repair charges if he charges $35 plus $7 per hour and the total bill is $63.

Back

7x + 35 = 63, where x is the number of hours worked.

Front

Solve the equation: 4x + 1.50 = 60.

Back

4x = 58.50, so x = 14.625.

Front

What is the purpose of using variables in equations?

Back

Variables represent unknown values that can change, allowing us to formulate equations that describe relationships between quantities.

Front

Solve the equation: 276 = 12p. What does p represent?

Back

p represents the number of people in each row, and solving gives p = 23.