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Removing brackets - Expansion of brackets - National 5 Maths Revision - BBC Bitesize

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In National 5 Maths learn how to remove brackets and pairs of brackets using the distributive law and FOIL, then simplify by collecting like terms.

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Get access to a huge collection of simplifying algebraic expression worksheets on topics like simplifying linear and polynomial expressions by combining like terms, factorize and reduce the rational expression, and more.

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Modes

In Solve and Substitute, vertical lines indicate "is equal to" (=).

In Expand and Factor, the large area is the product of the top and left areas, as in a standard multiplication table.

Adding Tiles

Add tiles to the workspace from the bottom left bank. The value of each tile is indicated. When moved to the workspace, the value will be erased.

Flip turns tiles over, giving the inverse value. For example when a green x is flipped, it becomes a red -x tile. Flipping the red -x tile, gives the inverse green x tile. You can click the button to flip all tiles in the bank or move tiles to the workspace, and then click to flip those tiles over.

Turn rotates the green x and red -x tiles 90°. This is most useful in the Expand and Factor activities.

Other Tools

Tools may be used on single tiles by select them or a group of tiles by selecting several or dragging a rectangle around a group of tiles. The tool may be selected before the tile for a single action or after to allow for a repeated action.

Pointer selects and moves tiles. This is the default tool. When the empty workspace or a tile from the bank is selected, this tool is automatically selected.Note: Depending on the activity, some tiles may not be removed.

Eraser removes tiles from the workspace. Note: Depending on the activity, some tiles may not be removed.

Remove Zero Pairs allows only zero pairs to be removed from the workspace. This is most helpful in solving Solve and Expand problems or anytime in Factor problems to ensure tiles are properly removed. A zero pair is a pair of tiles that sums to 0, such as a yellow 1 tile and a red -1 tile.

Copy copies the currently selected tile(s). Move the tile(s) to see the copy. This is most helpful when a large number of tiles must be placed in the workspace, such as forx ² - 16.

Completing a Problem

All problems must be completed in two steps:

1. Build the model
Place the correct pieces in the workspace. After you build the model of the given problem, Check your answer to move on to the next step. Only tile type, tile quantity, and workspace area are checked, not the way in which tiles are arranged.

If you want to start again, Reset to empty your workspace.

2. Solve the problem
in After you solve the problem, Check your answer. Where applicable, answers must be given in simplified form. Both the entered answer and workspace must be correct. If one or both is incorrect, the incorrect portion will be indicated. Note: Factor mode, all factors must be entered in parentheses. x(x + 1) will be marked wrong. (x)(x + 1) will be accepted.

If you want to start again, Reset to go back to your original model.

3. When you complete your problem or at any other point, you may start a New problem.

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In Solve and Substitute, vertical lines indicate "is equal to" (=). In Expand and Factor, the large area is the product of the top and left areas, as in a standard multiplication table. Add tiles to the workspace from the bottom left bank. The value of each tile is indicated.

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Interactivate: Algebra Four

Algebra Four: Students play a generalized version of connect four, gaining the chance to place a piece on the board by solving an algebraic equation. Parameters: Level of difficulty of equations to solve and type of problem. Algebra Four is one of the Interactivate assessment games.

On a mission to transform learning through computational thinking, Shodor is dedicated to the reform and improvement of mathematics and science education through student enrichment, faculty enhancement, and interactive curriculum development at all levels. Student development of numerical models and simulations integrated with core curriculum provides an opportunity to gain practical experience in computational science. Additionally, the National Computational Science Institute (NCSI) provides nation-wide workshops portraying resources and instructional ideas to middle school, high school, and undergraduate instructors for use in the classroom. Resources and materials offered to these instructors are available free of charge from Shodor's website and are largely developed by Shodor student interns. Shodor's academic program efficiently guides participants from excitement to experience to expertise through computational explorations, research opportunities, and service.

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Interactivate: Algebra Four On a mission to transform learning through computational thinking, Shodor is dedicated to the reform and improvement of mathematics and science education through student enrichment, faculty enhancement, and interactive curriculum development at all levels. Student development of numerical models and simulations integrated with core curriculum provides an opportunity to gain practical experience in computational science.

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Free Online Math Courses | Math Homework Help | Solve Math Problems Online | Math Skill Builder

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Need Math Homework Help? Read free Math courses, problems explained simply and in few words. Solve Math problems online. Learning Math has never been such fun!

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Translating words into algebraic expressions

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How to do Algebra    Part 1   Simplifying Expressions

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Pre-Algebra Worksheets | Algebraic Expressions Worksheets

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These dynamically created Pre-Algebra Worksheets allow you to produce algebraic expressions worksheets.

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Pre-Algebra giving you a hard time? Shmoop's free Basic Algebra Guide has all the explanations, examples, and exercises you've been craving.