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The Meaning of Expressions. Simplifying Expressions

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6.1The Meaning of Expressions. Simplifying Expressions

The Meaning of Expressions. Simplifying Expressions Revision Questions

1. . Which of the following expressions is algebraic?

  1. 3x - 2y + 5
  2. 16 ÷ 8 - 3 × 4
  3. 4m - n = 3
  4. 3 - 14 ÷ 7 + 4 × 3

Correct Answer: A

2. . What is the value of the following algebraic expression for x = 2 and y = 1?

2x3 - 4xy2 + y2+6
  1. 3
  2. 9
  3. 15
  4. 34

Correct Answer: C

3. . What is the value of x in the algebraic expression

3x + 14

if it is equivalent to the arithmetic expression

3(5 - 2 ∙ 4) + 2 ∙ 7
  1. 3
  2. 0
  3. -3
  4. -9

Correct Answer: C

4. . How many terms will the following algebraic expression have after simplification?

3xy + 2x ∙ 4y - 3x2 + 12x3y ÷ 4xy - 5
  1. 6
  2. 5
  3. 4
  4. 3

Correct Answer: D

5. . What is the simplest form of the algebraic expression

x3 - 4x2 ∙ 2x + 6xy ÷ 3y + 24
  1. -7x3 + 2x + 16
  2. x3 - 8x2 + 2xy + 16
  3. -8x3 + 2x + 8
  4. -7x3 + 2xy + 16

Correct Answer: A

6. . Which of the following expressions is equivalent to

3x - 4y + 5
  1. x2 + 3y + 2x2 - 7y + 5
  2. 6x3 ÷ 2x - x · 2x - y - 6xy ÷ 2x + 23 - 3
  3. -xy + 5
  4. 6xy - 3y - 2xy - 2x + 5

Correct Answer: A

7. . Which of the following is equivalent to 16x2y6?

  1. (2xy3)2
  2. (4x2y3)2
  3. (4xy2)3
  4. (4xy3)2

Correct Answer: D

8. . What is the constant of the algebraic expression

5a - 2b3 + 4c5 - 3
  1. 5
  2. -2
  3. 4
  4. -3

Correct Answer: D

9. . Which of the following algebraic expressions fit the description below?

"The expression contains two variables, where the first one is raised by the power of two while the other is in the first power when written separately. Moreover, there is a common term in which the two variables are multiplied with each other. All coefficients and the constant are equal to 1."

  1. x2 + y + 1
  2. x2 + xy + y
  3. x2 + xy + y + 1
  4. x2 + x2y + y + 1

Correct Answer: C

10. . How many variables does the following algebraic expression have?

3mn + 5m - m2 + pq - q3 + 7
  1. 3
  2. 4
  3. 5
  4. 6

Correct Answer: B

11. . What is the sum of coefficients in the following algebraic expression?

xy - 4x + 3y - 5
  1. 0
  2. -1
  3. -5
  4. -6

Correct Answer: A

12. . What is the biggest value a term can have in the algebraic expression

a3 - b + 2b3 - 4a5 + 160

if a = 2 and b = 3?

  1. 8
  2. 54
  3. 128
  4. 160

Correct Answer: D

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