Solving One-Step Equations and 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 operation, such as addition, subtraction, multiplication, or division.

Front

How do you solve the equation x + 16 = 50?

Back

To solve for x, subtract 16 from both sides: x = 50 - 16, so x = 34.

Front

What is the first step to solve the equation x - 15 = 45?

Back

Add 15 to both sides of the equation to isolate x: x = 45 + 15.

Front

How do you solve the equation 2y = 38?

Back

Divide both sides by 2 to isolate y: y = 38 / 2, so y = 19.

Front

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

Back

Isolating a variable means manipulating the equation to get the variable on one side by itself, making it easier to solve.

Front

What is the solution to the equation w/15 = -9?

Back

Multiply both sides by 15 to solve for w: w = -9 * 15, so w = -135.

Front

What is the relationship between the number of packs and the total number of crayons in the problem about Dan?

Back

The number of packs can be found by dividing the total number of crayons by the number of crayons per pack: 720 crayons / 15 crayons per pack = 48 packs.

Front

What is a word problem in mathematics?

Back

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

Front

How can you check your solution to an equation?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the importance of understanding one-step equations?

Back

Understanding one-step equations is fundamental for solving more complex equations and for applying algebra to real-world problems.