Algebraic Expressions And Equations Class V1- Red
This Algebraic Expressions and Equations Class V1- Red quiz assesses skills in simplifying expressions and solving basic algebraic equations. It covers operations with polynomials, distributive property, exponent rules, and substitution, making it ideal for enhancing algebraic understanding.
- 1.
1) p² + p² + p²
- A.
3p2
- B.
P6
- C.
3p
- D.
2p3
Correct Answer
A. 3p2Explanation
The expression p² + p² + p² can be simplified by combining like terms. Since all three terms have the same base (p) and exponent (2), we can add the coefficients together to get 3p². Therefore, the correct answer is 3p².Rate this question:
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- 2.
2) 5(2d + 2e)
- A.
7d+ 7e
- B.
10d + 10e
- C.
15d+ 15e
- D.
7de
Correct Answer
B. 10d + 10eExplanation
The given expression is 5(2d + 2e), which can be simplified by distributing the 5 to both terms inside the parentheses. This results in 10d + 10e, which is the same as the correct answer.Rate this question:
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- 3.
3) (2³)4
- A.
27
- B.
26
- C.
212
- D.
28
Correct Answer
C. 212Explanation
The given expression (2^3)^4 can be simplified by raising 2 to the power of 3, which equals 8. Then, 8 is raised to the power of 4, resulting in 8^4 = 2^12 = 4096. Therefore, the correct answer is 212.Rate this question:
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- 4.
4) 7x + 4 when x= 6
- A.
46
- B.
56
- C.
26
- D.
35
- E.
Option 5
Correct Answer
A. 46Explanation
When we substitute x = 6 into the expression 7x + 4, we get 7(6) + 4 = 42 + 4 = 46. Therefore, the correct answer is 46.Rate this question:
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- 5.
5) y + 3z when y=5 & z=6
- A.
28
- B.
32
- C.
23
- D.
28
Correct Answer
C. 23Explanation
The correct answer is 23 because when we substitute y=5 and z=6 into the expression y + 3z, we get 5 + 3(6) which simplifies to 5 + 18 = 23.Rate this question:
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- 6.
6) 14 decreased from a number p
- A.
P-14
- B.
14-p
- C.
P14
- D.
14
Correct Answer
A. P-14Explanation
The expression "p-14" represents the phrase "14 decreased from a number p". This means that we are subtracting 14 from the number p.Rate this question:
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- 7.
7) Product of 9 and a number r
- A.
9+r
- B.
9r
- C.
R9
- D.
None
Correct Answer
B. 9rExplanation
The expression "Product of 9 and a number r" can be written as 9r. This is because when we multiply 9 by any number r, we get the product 9r. Therefore, the correct answer is 9r.Rate this question:
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- 8.
8) 9x + 24y
- A.
3(3x+8y)
- B.
33xy
- C.
8( 3x+ y)
- D.
8( 3x +y)
Correct Answer
A. 3(3x+8y)Explanation
The given expression is 9x + 24y. The correct answer, 3(3x+8y), is obtained by factoring out the greatest common factor (GCF) from the terms 9x and 24y. The GCF of 9x and 24y is 3, so we divide both terms by 3 to get 3x and 8y. Therefore, the expression can be simplified as 3(3x+8y), which is the correct answer.Rate this question:
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- 9.
9)Bob is now d years old. Write an expression for his age in 6 years time.
- A.
6d
- B.
D + 6
- C.
D6
- D.
None
Correct Answer
B. D + 6Explanation
The expression "d + 6" represents Bob's age in 6 years time. Adding 6 to his current age (d) gives us the age he will be after 6 years.Rate this question:
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- 10.
10) 4a + 9b – 3a – 5b
- A.
A + 4b
- B.
4ab
- C.
A+ 6b
- D.
4a + 4b
Correct Answer
A. A + 4bExplanation
The given expression is a combination of like terms. By combining the terms with 'a' and 'b', we can simplify the expression to a + 4b.Rate this question:
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Current Version
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Aug 02, 2023Quiz Edited by
ProProfs Editorial Team -
Jun 18, 2020Quiz Created by
Yasmeen Jadoon