By LearningExpress Editors
Updated on Mar 23, 2011
Review these concepts if necessary:
 Algebraic Expressions Study Guide: GED Math
 Algebraic Equations Study Guide: GED Math
 Polynomials and Factoring Study Guide: GED Math
 Quadratic Equations and Inequalities Study Guide: GED Math
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.
 9a + 12a^{2} – 5a =
 16a
 16a^{2}
 12a^{2} – 4a
 12a^{2} + 4a
 26a^{2}

 2
 What is the product of (x – 3)(x + 7)?
 x^{2} – 21
 x^{2} – 3x – 21
 x^{2} + 4x – 21
 x^{2} + 7x – 21
 x^{2} – 21x – 21
 What is the product of (x – 6)(x – 6)?
 x^{2} + 36
 x^{2} – 36
 x^{2} – 12x – 36
 x^{2} – 12x + 36
 x^{2} – 36x + 36
 What are the factors of x^{2} – x – 6?
 (x – 3)(x – 2)
 (x – 3)(x + 2)
 (x + 3)( x – 2)
 (x – 6)(x + 1)
 (x – 1)(x + 6)
 If 9a + 5 = –22, what is the value of a?
 –27
 –9
 –3
 –2
 If f(x) = 2x – 1 and g(x) = x^{2}, what is the value of f [g(–3)]?
 –7
 2
 9
 17
 49
 If f(x) = 3x + 2 and g(x) = 2x – 3, what is the value of g[f(–2)]?
 –19
 –11
 –7
 –4
 –3
 Which of the following is true of f(x) = ?
 The range of the function is all real numbers less than or equal to 0.
 The range of the function is all real numbers less than 0.
 The range of the function is all real numbers greater than or equal to 0.
 The domain of the function is all real numbers greater than or equal to 0.
 The domain of the function is all real numbers less than or equal to .
 Which of the following is true of f(x) = ?
 The domain of the function is all real numbers greater than and the range is all real numbers greater than 0.
 The domain of the function is all real numbers greater than or equal to and the range is all real numbers greater than 0.
 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.
 The domain of the function is all real numbers greater than 0 and the range is all real numbers greater than or equal to .
 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 .

 4a
 4ab
 2a + 4b
 5a + 5b
 (2x^{2})(4y^{2}) + 6x^{2}y^{2} =
 12x^{2}y^{2}
 14x^{2}y^{2}
 2x^{2} + 4y^{2} + 6x^{2}y^{2}
 8x^{2} + y^{2} + 6x^{2}y^{2}
 8x^{4}y^{4} + 6x^{2}y^{2}
 The inequality 3x – 6 < 4(x + 2) is equivalent to which of the following?
 x ≥ –14
 x < –14
 x < –8
 x ≥ –8
 x < 2
 What is the product of (x – 1)(x + 1)?
 x^{2} – 1
 x^{2} + 1
 x^{2} – x – 1
 x^{2} – x + 1
 x^{2} – 2x – 1
 What is the value of (x + c)^{2}?
 x^{2} + c^{2}
 x^{2} + cx + c^{2}
 x^{2} + c^{2}x^{2} + c^{2}
 x^{2} + cx^{2} + c^{2}x + c^{2}
 x^{2} + 2cx + c^{2}
 What is one factor of x^{2} – 4?
 x^{2}
 –4
 (x – 1)
 (x + 2)
 (x – 4)
 If f(x) = 2x + 1 and g(x) = x – 2, what is the value of f{g[f(3)]}?
 1
 3
 5
 7
 11
 If f(x) = 6x + 4 and g(x) = x^{2} – 1, what is the value of g[f(x)]?
 6x^{2} – 2
 36x^{2} + 16
 36x^{2} + 48x + 15
 36x^{2} + 48x + 16
 6x^{3} + 4x^{2} – 6x – 4
 What is the domain of the function
 all real numbers excluding 0
 all real numbers excluding 3 and –3
 all real numbers greater than 9
 all real numbers greater than or equal to 9
 all real numbers greater than 3 and less than –3
 What is the range of the function f(x) = x^{2} – 4?
 all real numbers excluding 0
 all real numbers excluding 2 and –2
 all real numbers greater than or equal to 0
 all real numbers greater than or equal to 4
 all real numbers greater than or equal to –4

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