# Equations and Expressions

The lessons included in the Equations and Expressions section of HelpingWithMath.com are summarized below.

Work through these to help tutor your children. There are also a list of Equation and Expressions Worksheets listed towards the bottom of the page.

## What is in the Equations and Expressions section? ##### Multiplication as Comparison

See multiplication as more than just an operation. ##### Using Grouping Symbols

Identify the precedence of parentheses, braces, etc. ##### Order of Operations

Correctly sequence the operations in an expression. ##### Simple Expressions

Write and evaluate expressions. ##### Inequalities

Write inequalities and show them on a number line. ##### Graphing Proportional Relationships

Identify and plot direct proportional relationships. ##### Slope of a Line

Identify the slope of a line plotted on an XY grid. ##### Slope Formula

Calculate slope given two points on a line. ##### Slope Intercept Form

Write a line's equation in slope intercept form. ##### Solving Simultaneous Equations

Solve simultaneous equations using 3 different methods. Try the Equations Worksheet Generator. It will provide a limitless number of simple equations. There are 4 types; e.g. 4x = 12, 5t + 8 = 33, 2r/7 = 4, 5n/3 - 7 = 8. You can decide on the number of questions and you can select combinations of the different types. There is also an option to require just x2, x5, and x10 multiplication facts for those that struggle with memorizing math facts.

## Worksheet Generators

There are four worksheet generators that can be categorized in this Equations and Expressions section and they are listed and described below.

• The Equations Worksheet Generator provides a limitless number of simple equations. There are 4 types; e.g. 4x = 12, 5t + 8 = 33, 2r/7 = 4, 5n/3 - 7 = 8. You can decide on the number of questions and you can select combinations of the different types. There is also an option to require just x2, x5, and x10 multiplication facts for those that struggle with memorizing math facts.
• There is a Factoring/ Expanding Linear Expressions: Worksheet Generator that provides expressions in the form of 4a + 20 and 5b + 30c. There is an option for either factoring or expanding the expressions among other options. This is typically a 6th Grade-level worksheet.
• The Solving Simultaneous Equations Worksheet Generator provides pairs of linear equations e.g. 3x + 3y = 31 and 2x + 4y = 12 with the requirement to solve these to find the values of x and y. This is typically an 8th Grade-level worksheet.
• The Factoring Quadratic Expressions Worksheet Generator provides expressions such as
a2 + 8a + 15 for factoring e.g. to (a + 5)(a + 3). There are options to create different types of expression with varying degrees of difficulty for factoring. There is also an option to generate questions on expanding expressions. Note: Unlike most resources on HelpingWithMath.com, this is typically for students beyond the 8th Grade level.

The worksheet generators above are also listed along with many other types on the worksheet generator page.

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