Algebraic Expressions And Equations Class V1- Red

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| Written by Yasmeen Jadoon

Yasmeen Jadoon

Community Contributor

Quizzes Created: 1 | Total Attempts: 152

Questions: 10 | Attempts: 154 | Updated: Aug 2, 2023

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Questions and Answers

1.

1) p² + p² + p²
- A.
  
  3p²
- B.
  
  P⁶
- C.
  
  3p
- D.
  
  2p³
Correct Answer
A. 3p²

Explanation
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.

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2.

2) 5(2d + 2e)
- A.
  
  7d+ 7e
- B.
  
  10d + 10e
- C.
  
  15d+ 15e
- D.
  
  7de
Correct Answer
B. 10d + 10e

Explanation
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.

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3.

3) (2³)4
- A.
  
  2⁷
- B.
  
  2⁶
- C.
  
  2¹²
- D.
  
  2⁸
Correct Answer
C. 2¹²

Explanation
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.

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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. 46

Explanation
When we substitute x = 6 into the expression 7x + 4, we get 7(6) + 4 = 42 + 4 = 46. Therefore, the correct answer is 46.

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5.

5) y + 3z when y=5 & z=6
- A.
  
  28
- B.
  
  32
- C.
  
  23
- D.
  
  28
Correct Answer
C. 23

Explanation
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.

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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-14

Explanation
The expression "p-14" represents the phrase "14 decreased from a number p". This means that we are subtracting 14 from the number p.

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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. 9r

Explanation
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.

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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.

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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 + 6

Explanation
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.

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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 + 4b

Explanation
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.

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Algebraic Expressions And Equations Class V1- Red

1) p² + p² + p²

2) 5(2d + 2e)

3) (2³)4

4) 7x + 4 when x= 6

5) y + 3z when y=5 & z=6

6) 14 decreased from a number p

7) Product of 9 and a number r

8) 9x + 24y

9)Bob is now d years old. Write an expression for his age in 6 years time.

10) 4a + 9b – 3a – 5b