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.

See multiplication as more than just an operation.

Identify the precedence of parentheses, braces, etc.

Correctly sequence the operations in an expression.

Write and evaluate expressions.

Write inequalities and show them on a number line.

Identify and plot direct proportional relationships.

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

Calculate slope given two points on a line.

Write a line's equation in slope intercept form.

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.

- Multiplication as Comparison
- Identifying & Adding Parentheses - Pre-assessment
- Evaluating Expressions Worksheet - Practice
- Evaluating Expressions - Post-assessment (10 questions)
- Order of Operations in Expressions - Pre-assessment
- Evaluating Expressions - Post-assessment (10 questions)
- Order of Operations - Pre-assessment
- Writing Simple Expressions - Post-assessment (10 questions)
- Substituting Variables - Introducing variables
- Inequalities on a number line - e.g. x > 4
- Inequalities for word problems
- Graphing Proportional Relationships - (2-Pages)
- Equation of a Line - Determining and Plotting - e.g. y = mx (4-Pages)
- Calculating the Slope of a Line - using m = (Y
_{2}- Y_{1})/(X_{2}- X_{1}) (2-Pages) - Slope Intercept Form - e.g. y = mx + b (2-Pages)
- Converting to Slope Intercept Form - (2-Pages)

You will find more equations and expressions worksheets listed here.

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

a^{2}+ 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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