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A set of intermediate algebra questions, with answers, are presented. The solutions are at the bottom of the page. Also included are the solutions with full explanations.
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Write 1.5 × 10-5 in standard form.
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Evaluate: 30 - |-x + 6| for x = 10
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Evaluate: 2xy3 + x - 2y for x = 2 and y = -2
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What is the slope of the line perpendicular to the line y = - 4
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Write an equation of the line with slope 2 and x-intercept (-4 , 0).
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Solve the equation: -3(-x + 5) + 20 = -10(x - 3) + 4
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Solve the inequality: 4(x - 6) + 4 < 8(x - 4)
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Solve the equation: 3(x - 2)2 - 12 = 0
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Solve the equation: x / 3 + 2 / 7 = x / 7 - 5
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Line L is defined as line through the point (2 , 7) and perpendicular to the line x + y = 0. What is the point of intersection of L and the line x + y = 0?
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What is the point of intersection of the lines: x + 2y = 4 and -x - 3y = -7?
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How many solutions do the system of eaquations 2x - 3y = 4 and 4x - 6y = -7 have?
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For what value(s) of A does the system of equation Ax + 6y = 0 and 2x - 7y = 3 have no solutions?
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Solve |2x - 4| - 2 = 6.
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How many solutions does the equation 2x2 + 3x = 8 have?
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Solve the equation 3x2 + 6x - 1 = 8.
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Solve the system of equations: 2x + 5y = 18 and -3x - y = -1.
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What is the range of function f defined by: f = {(2,3),(1,4),(5,4),(0,3)}
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Factor the expression 2x2 + 3x + 1.
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Factor the expression 10x2 + 20x - 80.
Answers to the Above Questions
- 0.000015
- 26
- -26
- undefined (vertcal line)
- y = 2x + 8
- 29/13
- x > 3
- {0 , 4}
- -111/4
- (-5/2 , 5/2)
- (-2 , 3)
- no solutions
- -12/7
- {-2 , 6}
- 2 real solutions
- {-3 , 1}
- (-1 , 4)
- {3 , 4}
- (2x + 1)(x + 1)
- 10(x - 2)(x + 4)
Algebra Questions and problems
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