# Algebraic Expressions And Equations Class V1- Red

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• 1.

### 1) p² + p² + p²

• A.

3p2

• B.

P6

• C.

3p

• D.

2p3

A. 3p2
Explanation
The expression pÂ² + pÂ² + pÂ² 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 3pÂ². Therefore, the correct answer is 3pÂ².

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• 2.

### 2) 5(2d + 2e)

• A.

7d+ 7e

• B.

10d + 10e

• C.

15d+ 15e

• D.

7de

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

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

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

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

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

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)

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

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

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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• Jun 18, 2020
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