Canada Grade 8 Algebra Expressions and equations

Quiz
•
Mathematics
•
8th Grade
•
Hard
Owen Nash
Used 3+ times
FREE Resource
15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
Answer explanation
To simplify the expression, combine like terms: 3x + 4x - 2x = (3 + 4 - 2)x = 5x. Thus, the correct answer is 5x.
2.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
Answer explanation
To solve for x, first isolate x by subtracting 2x from both sides: 5x - 2x - 3 = 9. This simplifies to 3x - 3 = 9. Next, add 3 to both sides: 3x = 12. Finally, divide by 3: x = 4. The correct answer is x = 6.
3.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
Answer explanation
To simplify \(2(a + 3) - 4\), first distribute: \(2a + 6 - 4\). Then combine like terms: \(2a + 2\). Thus, the equivalent expression is \(2a + 2\), which is the correct choice.
4.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
Answer explanation
To find the value of y when x = 4, substitute 4 into the equation y = 3x + 2: y = 3(4) + 2 = 12 + 2 = 14. Thus, the correct answer is 14.
5.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
Answer explanation
The expression x^2 - 9 is a difference of squares, which factors as (x - 3)(x + 3). This is because a^2 - b^2 = (a - b)(a + b), where a = x and b = 3.
6.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
Answer explanation
To solve for x, first distribute: 4(x - 1) = 4x - 4. Then, set the equation: 4x - 4 = 2x + 6. Rearranging gives 2x = 10, so x = 5. Thus, the correct answer is x = 5.
7.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
Answer explanation
To find the coefficient of x in the expression 7x - 5 + 3x, combine the x terms: 7x + 3x = 10x. Thus, the coefficient of x is 10.
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