Grade 9: Linear Equations 2

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Grade 9: The Learning Equation Math

22.03 Linear Equations 2

2icon.jpg (3565 bytes)

Variables and Equations

Refresher pp 36-37

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Prerequisite Skills:

Solve and verify first-degree, single-variable equations of forms such as 4x=3-5x and 3x+1=4x-5.

Recognize and write equivalent expressions.

Translate phrases into mathematical expressions.

Evaluate expressions by substitution.

algebraic equation, distributive property, factor, common factor,greatest common factor (GCF), numerical coefficient, constant, improper fraction, step function

Learning Outcomes Review Enrichment Key Terms Prerequisite Skills

The student will:

solve and verify first-degree, single variable equations of forms, such as a(x+b)=c and a(bx+c)=d(ex+f), where a, b, c, d, e, and f are rational numbers (with a focus on integers), and use equations of this type to model and solve problems situations.

Algebra Tile Review

Algebra tiles have a variety of other names: algetiles, math tiles, and virtual tiles. Algebra tiles can help you visualize equivalent algebraic expressions and/or equations. Many of the real tiles have a positive and a negative side. The virtual algebra tiles activities will use multi-coloured positive tiles. The reverse (negative) side of each of these tiles is red. It helps to understand that negative tiles have one positive and one negative dimension.

Some algebra kits use black tiles for positive areas and red for the flip (negative) sides. Click the "Black/Red Tiles" button for additional information.

Algebra Tiles and the Distributive Property

What are Linear Equations?

Review of 1-step and 2-step Linear Equations

Linear Equations 2

a(x + b) = c

There are several example solutions using algebra tiles given in the "Examples".

The "Algebra Tiles Practice" includeds question generators for various linear equations. Select "a(x + b) = c" to generate Linear Equations 2 examples. You may use the virtual tiles provided to generate a solution. The step buttons provided on the right show sample solutions as well.

Let's study how these tiles can be used to solve equations.

4 Methods for Solving Linear Questions

There are a variety of ways to solve linear equations. Four methods for each type of linear equation is included below:

Review Learning Outcomes Enrichment Key Terms Prerequisite Skills

a(x + b) = c Equation Generator Solve the equations in the this section independently. If you have problems, look at the previous section again. Instructions for using this page: Click to get a randomly created problem with the form: a(x + b) = c Enter your solution in the box. Click .

Enter your solution :	x =
	x =
Score so far : out of . Percentage = Source: Practice on solving equations