Exam 1: Equations, Inequalities, and Applications

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Solve the three-part linear inequality. Graph the solution set on a number line, and express the solution using interval notation. - 133x+54- 13 \leq - 3 x + 5 \leq - 4  Solve the three-part linear inequality. Graph the solution set on a number line, and express the solution using interval notation. - - 13 \leq - 3 x + 5 \leq - 4

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Write the expression in the standard form a + bi. - 8i(3i)8 \mathrm { i } - ( - 3 - \mathrm { i } )

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Solve the equation. - (x+2)(x1)=(x+1)2( x + 2 ) ( x - 1 ) = ( x + 1 ) ^ { 2 }

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Perform the desired operation. Write the answer in the form a + bi. - (5+2i)(52i)( 5 + 2 i ) ( 5 - 2 i )

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Solve the rational inequality. Express the solution in interval notation. - x+15x+9<3\frac { x + 15 } { x + 9 } < 3

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Solve the equation by factoring. - x25x=0x ^ { 2 } - 5 x = 0

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Find the real solutions, if any, of the equation. Use the quadratic formula. - x2+7x+5=0x ^ { 2 } + 7 x + 5 = 0

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Solve the equation after making an appropriate substitution. - (4x4)2+2(4x4)3=0( 4 x - 4 ) ^ { 2 } + 2 ( 4 x - 4 ) - 3 = 0

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Solve the equation. -2(2x - 3)= 3(x + 4)

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Solve the equation by completing the square. - 7x22x4=07 x ^ { 2 } - 2 x - 4 = 0

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Solve the radical equation. - 2x+3x+1=1\sqrt { 2 x + 3 } - \sqrt { x + 1 } = 1

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Use the discriminant to determine the number and nature of the solutions to the quadratic equation. Do not solve the equation. - x26x7=0x ^ { 2 } - 6 x - 7 = 0

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Solve the equation. -x(5x - 1)= (5x + 1)(x - 3)

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Solve the radical equation. - 18x27=x+3\sqrt { 18 x - 27 } = x + 3

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Find all solutions. -6x3 + 54x2 + 120x = 0

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Solve the inequality. Express your answer using interval notation. - x6<14| x - 6 | < 14

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Solve the problem. -Kevin invested part of his $10,000 bonus in a certificate of deposit that paid 6% annual simple interest, and the remainder in a mutual fund that paid 11% annual simple interest. If his total interest for that year was $900, how much did Kevin invest in the mutual fund?

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Solve the linear inequality. Graph the solution set on a number line, and express the solution using interval notation. --4x + 3 ≤-5x - 2 Solve the linear inequality. Graph the solution set on a number line, and express the solution using interval notation. --4x + 3 ≤-5x - 2

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Solve the linear inequality. Express the solution in set-builder notation. - 7x9>57 x - 9 > 5 or x+78- x + 7 \geq - 8

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Solve the equation. - 3x7=6x1421x221x+98\frac { - 3 } { x - 7 } = \frac { 6 } { x - 14 } - \frac { - 21 } { x ^ { 2 } - 21 x + 98 }

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