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Instructions for a practice test on linear equations and graphs for students in mhr (mathematics for humanities and social sciences) course. The test includes questions that require students to represent patterns with linear equations, verify equations, extend graphs, and estimate values. The document also suggests materials needed, suggested timing, and answers for self-assessment.
Typology: Summaries
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Planning Notes
Make copies of Master 8 Centimetre Grid Paper and Master 9 0.5 Centimetre Grid Paper available for students to draw graphs for #8 and 9. Have students start the practice test by writing the question numbers in their notebook. Have them indicate which questions they need a little help with, a lot of help with, or no help with. Have students first complete the questions they know they can do. Then, have them complete the questions they know something about. Finally, have students do their best on the questions that they think they will need extra coaching with.
This practice test can be assigned as an in-class or take-home assignment. Provide students with the number of questions they can comfortably do in one class. These are the minimum questions that will meet the related curriculum outcomes: #1โ10.
40โ50 minutes
- grid paper - ruler
Master 8 Centimetre Grid Paper Master 9 0.5 Centimetre Grid Paper BLM 6โ12 Chapter 6 Test
#1, 2 6.1 Example 1 (^) โ represent pictorial, oral, and written patterns with linear equations โ solve problems that involve pictorial, oral, and written patterns using a linear equation #3 6.
Example 2 Example 1
โ verify linear equations by substituting values โ match equations of linear relations with graphs #4, 7 6.2 Example 2 โ extend graphs to determine an unknown value โ estimate values beyond known values on a graph #5 6.2 Example 1 (^) โ estimate values between known values on a graph #6 6.1 Examples 1, 2 โ represent pictorial, oral, and written patterns with linear equations โ solve problems that involve pictorial, oral, and written patterns using a linear equation โ verify linear equations by substituting values #8, 9 6.3 Examples 1, 3 (^) โ graph linear equations โ solve problems by graphing a linear relation and analysing the graph #10a), b), d)
#10c)
Examples 1, 2
Example 1
โ represent pictorial, oral, and written patterns with linear equations โ solve problems that involve pictorial, oral, and written patterns using a linear equation โ graph linear equations
Study Guide
Chapter 6 Practice Test
1. C 2. B 3. C 4. 2.5 5. 4. 6. a)
b) v = โ 4 n + 2; Example: โ 14 = โ 4(4) + 2 c) โ 42
7. a) $32 b) No, because you cannot add part of a topping 8. a) Example:
b) Example:
c) Example:
9. Look for at least one similarity and one difference. Examples: Similarities: - For graphs a) and c), the value of y when x = 0 is the same. Differences: - The direction and slope of the lines are different for each graph.
Answers
Term, n Value, v 1 โ 2 2 โ 6 3 โ 10 4 โ 14 5 โ 18
x y
x y
4
6
8
10
y
2
y
x y
4
6
8
y
2