Introduction To Algebra Test

50 Questions | By Sonikh | Last updated: Mar 21, 2022 | Total Attempts: 75

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1.

Which word best describes the 2 in the expression 3x² + 4x + 7.
- A.
  
  Coefficient
- B.
  
  Constant
- C.
  
  Exponent
- D.
  
  Term
- E.
  
  Variable
2.

Which word best describes the 3 in the expression 3x² + 4x + 7.
- A.
  
  Coefficient
- B.
  
  Constant
- C.
  
  Exponent
- D.
  
  Term
- E.
  
  Variable
3.

Which word best describes the x in the expression 3x² + 4x + 7.
- A.
  
  Coefficient
- B.
  
  Constant
- C.
  
  Exponent
- D.
  
  Term
- E.
  
  Variable
4.

Which word best describes the 7 in the expression 3x² + 4x + 7.
- A.
  
  Coefficient
- B.
  
  Constant
- C.
  
  Exponent
- D.
  
  Term
- E.
  
  Variable
5.

Which word best describes the 4x in the expression 3x² + 4x + 7.
- A.
  
  Coefficient
- B.
  
  Constant
- C.
  
  Exponent
- D.
  
  Term
- E.
  
  Variable
6.

Simplify [ a² – 2a + 7a² + 9a + a – 4a² ] by collecting like terms.
- A.
  
  4a² - 8a
- B.
  
  - 4a² + 8a
- C.
  
  12a²+ 8a
- D.
  
  4a² + 8a
- E.
  
  None of the above
7.

Simplify [ –6p² – 20p – 4p – 10p² – 3 + 2p + 5 ] by collecting like terms.
- A.
  
  16p² – 22p + 2
- B.
  
  –16p² – 22p + 2
- C.
  
  –16p² – 22p – 2
- D.
  
  16p²– 22p – 2
- E.
  
  None of the above
8.

Simplify [ 2n² + 2n + 1 – 10n² – n – 15n + 9 – n ] by collecting like terms.
- A.
  
  8n² – 15n + 10
- B.
  
  –8n² + 15n + 9
- C.
  
  –8n² – 15n – 1
- D.
  
  –8n² – 15n + 10
- E.
  
  None of the above
9.

Simplify [ –11x + 2y + 5 + 3y + 7 + 1 – 6x ] by collecting like terms.
- A.
  
  17x – 5y + 13
- B.
  
  –17x + 5y + 13
- C.
  
  17x + 5y – 13
- D.
  
  –17x – 5y + 13
- E.
  
  None of the above
10.

Simplify [ 5a² + 4a + 17 – 2a + 3a² – 4 ] by collecting like terms.
- A.
  
  8a²–2a + 13
- B.
  
  –8a² + 2a + 15
- C.
  
  8a² + 2a + 13
- D.
  
  8a² + 2a + 17
- E.
  
  None of the above
11.

Which of the following is equivalent to the expression 3(x + 2) – 7?
- A.
  
  3(x + 2 – 7)
- B.
  
  3x + 6 – 7
- C.
  
  3x + 6 – 21
- D.
  
  3x – 5
- E.
  
  None of the above
12.

Which of the following expressions mean the same thing? [Select two options]
- A.
  
  2(4 + 5)
- B.
  
  4 + 5(2)
- C.
  
  (4 + 5)(2)
- D.
  
  2(4) + 5
13.

Which of the following expressions mean the same thing? [Select two options]
- A.
  
  5(2x + 7)
- B.
  
  5(2x) + 7
- C.
  
  2x + 7(5)
- D.
  
  (2x + 7)(5)
14.

Which of the following expressions mean the same thing? [Select two options]
- A.
  
  –8(6x – 4)
- B.
  
  –48x – 36
- C.
  
  –48x + 32
- D.
  
  –48x – 32
15.

Which expression shows –3(x + 5) in expanded form?
- A.
  
  –3x + 15
- B.
  
  –3x + 5
- C.
  
  –3x – 8
- D.
  
  –3x – 15
16.

Which of the following expressions mean the same thing? [Select all the correct options]
- A.
  
  –9(6y – 4y)
- B.
  
  –54y – 36y
- C.
  
  –54y + 36y
- D.
  
  –18y
- E.
  
  18y
17.

Which of the following is equivalent to the expression 8(2x + 2) – 3(4x + 6)?
- A.
  
  4x + 10
- B.
  
  28x + 34
- C.
  
  4x – 2
- D.
  
  4x + 34
18.

Simplify the expression: ( - 8v⁴+ 4v³ + 3v) + (- 8v⁴+ 4v - 7)
- A.
  
  -17v⁴ + 4v³ + 2v - 7
- B.
  
  -16v⁴ + 4v³ + 7v - 7
- C.
  
  -16v⁴ + 4v³ + 10v - 7
- D.
  
  -16v⁴ + 4v³ + 2v - 7
19.

Simplify the expression: (–6p⁴ + p³ + 1) – ( 8p⁴–8p³+ 7)
- A.
  
  –14p⁴ + 9p³ – 6
- B.
  
  –14p⁴ + 9p³ – 1
- C.
  
  –14p⁴ + 9p³ + 6
- D.
  
  –15p⁴ + 9p³ + 6
20.

Simplify the following expression (r² + s²) – (5r² + 4s²)
- A.
  
  –4r² +5s²
- B.
  
  –4r² – 3s²
- C.
  
  –5r⁴ – 4s⁴
- D.
  
  –4r² + 3s²
21.

The measure of two side of a triangle is x²+ 2x. If the perimeter is 4x²+ x, what is the measure of the third side?
- A.
  
  3x²– x
- B.
  
  4x²+ 2x
- C.
  
  3x² + 3x
- D.
  
  3x² + 2x
22.

Simplify the expression: (5b - 3b³ - 8b²) - (2b³ - 4b² + 6b - 3b⁴)
- A.
  
  3b⁴ - 5b³ - 11b² - b
- B.
  
  3b⁴ - 5b³ - 11b² - 9b
- C.
  
  3b⁴ - 5b³ - 11b² - 15b
- D.
  
  3b⁴ - 5b³ - 4b² - b
23.

Simplify the expression: (7k + 2k³ - 8k⁴) - (4k³ - 5k + 4k² - 7k⁴⁾
- A.
  
  -k⁴ - 2k³ - 4k² + 12k
- B.
  
  -2k³ - 7k² + 12k + 4k⁴
- C.
  
  -2k³ - 4k³² + 12k + 4k⁴
- D.
  
  -2k³ - 4k² + 12k
24.

Expand and Simplify: (5x + 2) (x²– 3x + 6)
- A.
  
  5x³– 17x²+ 24x + 12
- B.
  
  5x³+ 17x² – 24x + 12
- C.
  
  5x³ – 13x² + 24x + 12
- D.
  
  5x³ + 13x² – 24x – 12
25.

Is the polynomial expression in standard form? 7x³ – 8x² + 9
- A.
  
  True
- B.
  
  False