Grade 8 Bodanis
BEDMAS (following order of operations)
SAMDEB (GO BACKWARDS WHEN ISOLATING FOR VARIABLE)
Unit 6: Algebra and Coding
Math Unit Test
Name:
This test will evaluate your abilities to:
add and subtract monomials and add binomials with a degree of 1; evaluate algebraic expressions; solve equations
with multiple terms.
There will be 4 sections on this test:
1.
2.
3.
4.
Terminology - Knowledge and Application
Substitutions/Algebraic equations - Application and Knowledge
Word Problems - Thinking and Application
Explanation of process - Communication
Instructions: using a separate sheet of paper, please show your work. When you are finished, fill the answers here
and attach a photo of your shown work (so I can see you understand). This isn’t ideal, but it’s the reality of the
times at this point. WHEN TYPING, USE A DIFFERENT COLOUR FONT PLEASE! Good luck!
Section 1: Terminology - Knowledge and Application
1. For each of the following, state whether it is an equation or an expression: (4 marks)
a)
4(2x-1) + 5y = 0
b) 3(5-2) = 9
c)
5x-3 = 3
d) 5 (r+2) + 4(3-4s)
2. Identify whether the following represents a binomial or monomial: (4 marks)
a)
4x +2
b) 3
c)
1/2x+2.4
d) 4/9x
1
Grade 8 Bodanis
BEDMAS (following order of operations)
SAMDEB (GO BACKWARDS WHEN ISOLATING FOR VARIABLE)
Section 2: Substitutions/Algebraic equations - Application and Knowledge
3. Study the given graph, make a table of values from the graph, and model the situation using an equation. Show
all of your work! (3 marks)
4. Simplify. Show your work! (Each worth 2 marks)
a)
9� + 3� + 9� + 12�
b) 3.5� + 17 + 6.5� + 8
2
Grade 8 Bodanis
BEDMAS (following order of operations)
SAMDEB (GO BACKWARDS WHEN ISOLATING FOR VARIABLE)
5. Solve for the variables in the following equations. Please show all of your work! (Each worth 2 marks)
a)
4 + 3d = 16
b) 6 = 2x - 4
c)
16 − 2t = t + 9 + 4t
6. Solve for the following: (2 marks each)
a)
13 – 3m, when m = 3
b)
2.5b + 12.5, when b = 2
3
Grade 8 Bodanis
BEDMAS (following order of operations)
SAMDEB (GO BACKWARDS WHEN ISOLATING FOR VARIABLE)
Section 3: Word Problems - Thinking and Application
7. Please answer the following word problems while showing all your steps. A suggestion… draw pictures to help
visualize the problem and look at BEDMAS at the top of the test as a reminder. (3 marks each)
a)
The cost to rent skates is a $10 base fee plus $4 per hour of use. Sharif has $26. Use the equation
10 + 4h = 26 where h is the number of hours, to determine for how many hours Sharif can skate.
SHOW YOUR WORK.
b) Tyson spent a total of $10.25 on 2 bags of Goldfish. The cost of 1 of the bags was $3.50. He
wrote the following equation to represent his snack food purchase purchase 10.25 = g + 3.50
where a represents the cost of the other bag of Goldfish Determine the cost of the other snack
food. SHOW YOUR WORK.
4
Grade 8 Bodanis
BEDMAS (following order of operations)
SAMDEB (GO BACKWARDS WHEN ISOLATING FOR VARIABLE)
One more page - Don’t forget!
Section 4: Explanation of process - Communication and Thinking
8. In the following algebraic equation, please solve for the variable and provide an explanation of each step that you
are taking with a reason for the step. For example, “I am dividing both sides of the equation by 2 to isolate for the
variable that is attached to the 2 (also known as the coefficient if we are getting fancy). Please write at least 4
sentences explaining your steps (not looking for perfect grammar but clear ideas). (5 total marks)
3n + 2.75 = 26.75
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