Algebraic Expressions and Identities

Q. If a = 2 and b = 3, what is the value of 2a^2 + 3b?

A. 12
B. 15
C. 18
D. 21

Solution

Calculating gives 2(2^2) + 3(3) = 2(4) + 9 = 8 + 9 = 17.

Correct Answer: B — 15

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Q. If x = 1, what is the value of x^2 - 4x + 4?

A. 0
B. 1
C. 2
D. 3

Solution

Substituting x = 1 gives 1^2 - 4(1) + 4 = 1 - 4 + 4 = 1.

Correct Answer: A — 0

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Q. What is the result of simplifying the expression 3(x + 4) - 2(x - 1)?

A. x + 10
B. x + 14
C. x + 8
D. x + 12

Solution

Distributing gives 3x + 12 - 2x + 2 = x + 14.

Correct Answer: A — x + 10

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Q. What is the simplified form of 2(x + 3) + 3(x - 1)?

A. 5x + 3
B. 5x + 9
C. 5x + 6
D. 5x + 12

Solution

Distributing gives 2x + 6 + 3x - 3 = 5x + 3.

Correct Answer: B — 5x + 9

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Q. What is the value of (x + 3)(x - 2) when x = 4?

A. 5
B. 10
C. 20
D. 30

Solution

Substituting x = 4 gives (4 + 3)(4 - 2) = 7 * 2 = 14.

Correct Answer: C — 20

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Q. What is the value of 4x^2 - 16 when x = 3?

A. 0
B. 12
C. 24
D. 36

Solution

Substituting x = 3 gives 4(3^2) - 16 = 4(9) - 16 = 36 - 16 = 20.

Correct Answer: C — 24

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Q. What is the value of 5x - 3y when x = 2 and y = 1?

A. 7
B. 8
C. 9
D. 10

Solution

Calculating gives 5(2) - 3(1) = 10 - 3 = 7.

Correct Answer: A — 7

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Q. Which identity is represented by (a + b)^2?

A. a^2 + b^2
B. a^2 + 2ab + b^2
C. 2ab
D. a^2 - b^2

Solution

The identity states (a + b)^2 = a^2 + 2ab + b^2.

Correct Answer: B — a^2 + 2ab + b^2

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Q. Which of the following is the expanded form of (x + 5)(x - 3)?

A. x^2 + 2x - 15
B. x^2 + 8x - 15
C. x^2 - 2x - 15
D. x^2 + 15

Solution

Expanding gives x^2 + 5x - 3x - 15 = x^2 + 2x - 15.

Correct Answer: B — x^2 + 8x - 15

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Q. Which of the following is the factorization of x^2 - 9?

A. (x - 3)(x + 3)
B. (x - 9)(x + 1)
C. (x - 3)(x - 3)
D. (x + 9)(x - 1)

Solution

The expression x^2 - 9 is a difference of squares, factored as (x - 3)(x + 3).

Correct Answer: A — (x - 3)(x + 3)

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Showing 1 to 10 of 10 (1 Pages)

Algebraic Expressions and Identities

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