Expressions and Equations Worksheets
What is the Difference Between Expressions and Equations?
When you are learning algebra, finding out the difference between expressions and equations is essential. Although, in hindsight, both of these are relatively similar; however, there are distinct differences between the two. Let us discuss the differences in the table below.
What are equations? - The equation is a mathematical statement that has two expressions with a relational operator connecting them.
Most questions deal with satisfying both sides by finding out the value of the unknown present in the equation.
There are numerous examples of equations. You have the quadratic equation, linear equation, cubic equation, and so on.
An answer to an equation usually deals with whether the comparison is true or false in terms of the relational operator.
What are expressions? - The expression is a mathematical phrase that connects numbers, variables, and operators for showing the value of something.
It represents the value of something. In other words, if you get asked what a person's age is, then an expression is Person' s age=20 years
The examples of expression are 9x - 3, 5y + 3, etc.
While the answer to expression is a numerical value. A super common question is the difference between expressions and equations. Expressions can be evaluated, but never truly have a single solution. The evaluation of expressions change based on the variables involved. Equations can be solved and often the make two expressions equal.
Expression: 8x + 12 (Different solutions based on the value of x)
Equation: 8x + 12 = 52 (There is only 1 value for x)
- Basic Operations and Generating Equivalent Expressions - This is a great section for learning how to model a situation with mathematical expressions.
- Completing the Square in a Quadratic Expression - This will cause you to find and target the zeroes.
- Complicated Expressions - These can be hard to read and interpret, but we break it down for you.
- Creating and Identifying Equivalent Expressions - This all stems from finding like terms and just simplifying from there.
- Creating Equations and Inequalities - This will teach students how to write them to mirror a real-life scenario.
- Creating Equations with Two or More Variables - When x or y by themselves is just not enough.
- Evaluating Numerical Expressions with Exponents - The exponents change the entire nature of the expressions. We show you how and why.
- Evaluating Written Expressions - How to make sense of expression and apply it to the circumstances that are presented.
- Explaining How to Solve Equations - This takes it a step further than just showing your work. You will need to actually explain yourself here.
- Expressions That Use Math Terms - There has to be that math term or two that you just are not sure of.
- Expressions Used In Word Problems - They can be very helpful to solve everyday problems.
- Finding Points of Intersection for Complex Equations - When we set them equal to one another we find the gaps and overlaps.
- Graphing Equations - This is as simple as choosing random x and y values and just seeing what comes out. Oh yeah, you will then need to plot the ordered pairs.
- Graphing Linear Inequalities as a Half-Plane - These lines tend to jump around a bit.
- Graphing Proportional Relationships - In this case, we are looking for a straight line to form.
- Inequality Constraint or Condition Word Problems - Writing these word problems required a few dozen reviews to get them just right.
- Interpret the Context of Expressions - You will need to evaluate all the elements involved such as the terms, factors, bases, exponents, and constants.
- Linear Equations in One Variable - These take on the written form as: ax + b = c. It also assumes a, b, and c are real numbers and a does not equal zero.
- Powers of Ten and Scientific Notation - As students get into lab environments, this math becomes critical.
- Properties of Integer Exponents - We learn the common and rare properties of exponents.
- Using Tables and Data Charts With Expressions - The data table can provide you with less to explain. It also helps you spot trends in the data.
- Using Variables to Represent Numbers - What does x really stand for?
- Using Variables to Represent Two Quantities - This is when x met y.
- Rearranging and Understanding Formulas - Moving formulas around mathematically can help you better understand the nature of them.
- Rewriting Expressions - Middle School Level: We target a move introductory level with this topic.
- Rewriting Expressions - High School Level: We assume you are well versed with this topic and you can start attacking more difficult problems.
- Real Life Middle School Math Word Problems - This is the reason we all pay attention in math class.
- Scientific Notation Word Problems - Common problems you will find in secondary science classes.
- Simultaneous Linear Equations - We show you how to use the comparison and elimination methods to solve these guys.
- Solve One-Variable Equations and Inequalities - These usually take a few steps to get move on.
- Solve Rational and Radical Equations - We show you how to approach problems from several different directions.
- Solve Real-world Mathematical Problems With Expressions - This applies to so many different aspects of life. You would be surprised.
- Solving Equations and Inequalities - This is not as simple, as you might think, in most cases.
- Solving Linear Equations and Inequalities in One Variable - It all starts with one variable and goes from there.
- Solving Linear Expressions - Where your value falls in relation to the line is key.
- Solving Quadratic Equations - Some people love this topic, others- not so much.
- Solving Simultaneous Equations (Linear and Quadratics) - You normally set them equal to one another. We also offer a different method to help.
- Solving Systems of Equations - If the variables are the same, they can play.
- Solving Systems of Linear Equations by Graphing - We focus on using the graph as evidence here.
- Solving Systems Word Problems - These can be a challenge.
- Square and Cube Roots - I aim to get students to do this section without a calculator.
- Two Linear Equations in Two Variables - This is a more advanced approach to topics we previously explored.
- Using Graphs of Equations - There are a ton of practical uses for these.
- Word Problems Leading to Equations - If we figure out the pattern, we can solve anything that falls in that system.
- Word Problems Leading to Inequalities - At first these are a bit awkward, but they will payoff for certain.
- Word Problems That Require Equations or Inequalities - This is a really interesting way to approach these problems.
- Writing Expression for Geometric Sequences - Remind yourself that a constant is always at play here.