EDPT Algebraic Concepts and Equations 5 — Questions and Answers
Question 1: If the ratio of x to y is 3:5 and y = 20, what is x?
- 10
- 12 (Correct answer)
- 15
- 33
Correct answer: 12
x/20 = 3/5, so x = 20 × (3/5) = 12.
Question 2: Which expression represents the sum of three consecutive integers starting at n?
- 3n
- n + n+1 + n+2
- 3n + 3 (Correct answer)
- n(n+1)(n+2)
Correct answer: 3n + 3
n + (n+1) + (n+2) = 3n + 3.
Question 3: If p = 2 and q = -3, what is 3p² - 2q?
- 6
- 18 (Correct answer)
- 12
- 14
Correct answer: 18
3(4) - 2(-3) = 12 + 6 = 18.
Question 4: Solve: 2(x - 1) = 3(x + 2)
- x = -8 (Correct answer)
- x = 8
- x = 4
- x = -4
Correct answer: x = -8
Expanding: 2x - 2 = 3x + 6; subtracting 2x: -2 = x + 6; so x = -8.
Question 5: What is the greatest common factor (GCF) of 12x³ and 18x²?
- 6x³
- 18x²
- 6x² (Correct answer)
- 36x⁵
Correct answer: 6x²
GCF of 12 and 18 is 6, and the lowest power of x is x², so GCF = 6x².
Question 6: A number increased by 40% equals 84. What is the original number?
- 50.4
- 58
- 60 (Correct answer)
- 64
Correct answer: 60
1.4n = 84, so n = 84 / 1.4 = 60.
Question 7: Which property justifies: if a = b and b = c, then a = c?
- Reflexive property
- Symmetric property
- Transitive property (Correct answer)
- Distributive property
Correct answer: Transitive property
The transitive property states that if a = b and b = c, then a = c.
EDPT Algebraic Concepts and Equations 5
If the ratio of x to y is 3:5 and y = 20, what is x?