Name: ______Date: ______

C2 Summarize simple patterns, using constants, variables, algebraic expressions, and equations, and use them in making predictions

Q 3a, d, e, 4

C3 Explain the difference between algebraic expressions and equations Q 1 and 2

C6 graph linear equations, using a table of values Q 3b

C9 Interpolate and extrapolate number values from a given graph Q 3c

Extra Practice: Describe Relationships with Algebraic Equations

Name ______Date ______

1. For each statement, indicate whether it can be represented by an algebraic expression or equation. Explain your choice. Then, write an algebraic expression or equation for each statement. Choose your own variables and indicate what they represent.

a) one-third of Dexter’s earnings

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b) the area of a rectangle is length times width

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c) five more years than Miriam’s age

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2. Louis is nine years older than Erika.

a) Write an equation that relates Louis’ age to Erika’s age.

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b) Find Louis’ age when Erika is 3.

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c) How old is Erika when Louis is 26?

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3. A taxi charges $6 plus $2.75 for every kilometre driven.

a) Create a table of values for the cost of trips of between 1 km and 5 km.

b) Graph the relationship.

c) Use the graph to find the cost of a 10-km trip.

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d) Write an equation that relates cost and trip distance.

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e) Use the equation to find the cost of a 10-km trip. Do your answers to parts c) and e) agree? Explain.

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4. Kim is making a tile
border along a wall.
She always starts with
a corner pattern and
makes the rest of the
border with the trim pattern.

a) Create a table of values to shows the number of grey tiles are required for:
• 1 pattern piece (1 corner)?
• 2 pattern pieces (1 corner, 1 trim)?
• 3 pattern pieces (1 corner, 2 trim)?

b) Extend the pattern to find the number of grey tiles required for 4 and 5 pattern pieces.

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c) Describe how you can find the number of grey tiles required if you know the number of pattern pieces.

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d) Write an equation to relate the number of grey tiles, t, and the number of pattern pieces, p.

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e) Use the equation to find the number of grey tiles in a boarder of 25 pattern pieces.

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f) A border requires 55 grey tiles. How many pattern pieces are there?

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