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Copyright! 2006 McGraw-Hill Ryerson Limited, a subsidiary of the McGraw-Hill Companies.
This page may be reproduced for classroom use by the purchaser of this book without the written permission of the publisher.
Extra Practice BLM 3GR
Chapter 3 Get Ready
Inequality Statements
1. Represent each using a set of integers and
symbols.
a) All integers greater than or equal to
zero
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b) All integers less than –10
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c) All integers greater than 5
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d) All integers less than or equal to –3
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2. Use a number line to represent the each
inequality in question 1.
3. Write each symbolic statement in words.
In each question, the variable belongs to
the set of integers.
a) y < 8
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b) m ! 4
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c) x = 7
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d) n > 10
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e) y ! –3
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The Zero Principle
4. Represent each using the zero principle
in three different ways. Draw the tile
models on a separate sheet of paper.
a) 2y
b) –3x
c) –5
5. Which expressions represent zero. Use
tile models to help you. Record your
models on a separate sheet of paper.
a) 3x – 2 – 3x + 4y – 2 – 4y
b) 5 – x + 3y – x – 5 + 2x – 3y
c) –4y + 3y + 3 – y – 3
Name _______________________________ Date __________________________________
Copyright! 2006 McGraw-Hill Ryerson Limited, a subsidiary of the McGraw-Hill Companies.
This page may be reproduced for classroom use by the purchaser of this book without the written permission of the publisher.
Use Systematic Trial and the Cover-Up
Method to Solve Equations
6. Solve by the cover-up method.
a) 2n + 7 = 15
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b) 3h – 2 = 16
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c) 4c – 4 = 24
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d) 8m + 1 = 17
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7. Solve by systematic trial. Show your
calculations for the numbers you tried.
a) 10 = 3r – 17
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b) 22 – 5a = 7
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c) 4h + 10 = 36
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d)
b
6+ 3 = 0
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Use Algebra Tiles and Algebraic Symbols
to Solve Equations
8. Use algebra tiles to solve these equations.
Show your steps using symbols and by
drawing the tiles on a separate sheet of
paper. Verify your solution.
a) 4x + 2= 10
b) 6y – 3 = 9
c) 2x – 4 =10
d) 5y + 5 = 20
9. Solve, and verify your solution.
a) 3x + 6 = 9
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b) 10x – 5 = 15
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c) 4y – 3 = 9
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d) 2y + 7 = 15
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Name _______________________________ Date __________________________________
Copyright! 2006 McGraw-Hill Ryerson Limited, a subsidiary of the McGraw-Hill Companies.
This page may be reproduced for classroom use by the purchaser of this book without the written permission of the publisher.
Expand Expressions
10. Draw the algebra tile model for each that
shows the distributive property.
a) 3(4x – y)
b) 7(–y + 2)
c) 2(2x + 4)
d) 4(2n – 1)
11. Expand using the distributive property.
a) 8(5x – 9)
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b) 0.75 (y – 5)
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c)
3
5(3y + 6)
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d) 4(2 – 4y – 4x)
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e) 1.3 (6x + 8)
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f)
1
4(–3y – 5 + 2x)
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