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Algebra and Functions Practice Problems: GED Math

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Updated on Mar 23, 2011

Review these concepts if necessary:

Problems

ALGEBRA IS THE BRANCH of mathematics that denotes quantities with letters and uses negative numbers as well as ordinary numbers. You often use algebra to translate everyday situations into a math sentence so that you can then solve problems. This is the reason why the GED Mathematics Exam will test your knowledge of algebra skills and concepts.

  1. 9a + 12a2 – 5a =
    1. 16a
    2. 16a2
    3. 12a2 – 4a
    4. 12a2 + 4a
    5. 26a2
    1. 2
  2. What is the product of (x – 3)(x + 7)?
    1. x2 – 21
    2. x2 – 3x – 21
    3. x2 + 4x – 21
    4. x2 + 7x – 21
    5. x2 – 21x – 21
  3. What is the product of (x – 6)(x – 6)?
    1. x2 + 36
    2. x2 – 36
    3. x2 – 12x – 36
    4. x2 – 12x + 36
    5. x2 – 36x + 36
  4. What are the factors of x2x – 6?
    1. (x – 3)(x – 2)
    2. (x – 3)(x + 2)
    3. (x + 3)( x – 2)
    4. (x – 6)(x + 1)
    5. (x – 1)(x + 6)
  5. If 9a + 5 = –22, what is the value of a?
    1. –27
    2. –9
    3. –3
    4. –2
  6. If f(x) = 2x – 1 and g(x) = x2, what is the value of f [g(–3)]?
    1. –7
    2. 2
    3. 9
    4. 17
    5. 49
  7. If f(x) = 3x + 2 and g(x) = 2x – 3, what is the value of g[f(–2)]?
    1. –19
    2. –11
    3. –7
    4. –4
    5. –3
  8. Which of the following is true of f(x) = ?
    1. The range of the function is all real numbers less than or equal to 0.
    2. The range of the function is all real numbers less than 0.
    3. The range of the function is all real numbers greater than or equal to 0.
    4. The domain of the function is all real numbers greater than or equal to 0.
    5. The domain of the function is all real numbers less than or equal to .
  9. Which of the following is true of f(x) = ?
    1. The domain of the function is all real numbers greater than and the range is all real numbers greater than 0.
    2. The domain of the function is all real numbers greater than or equal to and the range is all real numbers greater than 0.
    3. The domain of the function is all real numbers greater than or equal to and the range is all real numbers greater than or equal to 0.
    4. The domain of the function is all real numbers greater than 0 and the range is all real numbers greater than or equal to .
    5. The domain of the function is all real numbers greater than or equal to 0 and the range is all real numbers greater than or equal to .
    1. 4a
    2. 4ab
    3. 2a + 4b
    4. 5a + 5b
  1. (2x2)(4y2) + 6x2y2 =
    1. 12x2y2
    2. 14x2y2
    3. 2x2 + 4y2 + 6x2y2
    4. 8x2 + y2 + 6x2y2
    5. 8x4y4 + 6x2y2
  2. The inequality 3x – 6 < 4(x + 2) is equivalent to which of the following?
    1. x ≥ –14
    2. x < –14
    3. x < –8
    4. x ≥ –8
    5. x < 2
  3. What is the product of (x – 1)(x + 1)?
    1. x2 – 1
    2. x2 + 1
    3. x2x – 1
    4. x2x + 1
    5. x2 – 2x – 1
  4. What is the value of (x + c)2?
    1. x2 + c2
    2. x2 + cx + c2
    3. x2 + c2x2 + c2
    4. x2 + cx2 + c2x + c2
    5. x2 + 2cx + c2
  5. What is one factor of x2 – 4?
    1. x2
    2. –4
    3. (x – 1)
    4. (x + 2)
    5. (x – 4)
  6. If f(x) = 2x + 1 and g(x) = x – 2, what is the value of f{g[f(3)]}?
    1. 1
    2. 3
    3. 5
    4. 7
    5. 11
  7. If f(x) = 6x + 4 and g(x) = x2 – 1, what is the value of g[f(x)]?
    1. 6x2 – 2
    2. 36x2 + 16
    3. 36x2 + 48x + 15
    4. 36x2 + 48x + 16
    5. 6x3 + 4x2 – 6x – 4
  8. What is the domain of the function
    1. all real numbers excluding 0
    2. all real numbers excluding 3 and –3
    3. all real numbers greater than 9
    4. all real numbers greater than or equal to 9
    5. all real numbers greater than 3 and less than –3
  9. What is the range of the function f(x) = x2 – 4?
    1. all real numbers excluding 0
    2. all real numbers excluding 2 and –2
    3. all real numbers greater than or equal to 0
    4. all real numbers greater than or equal to 4
    5. all real numbers greater than or equal to –4
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