Exam 3: Introduction to Algebra

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Simplify the expression as completely as possible. (3x3)(2x)2\left( - 3 x ^ { 3 } \right) ( 2 x ) ^ { 2 }

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What is the first step in solving s+25=20s + 25 = 20 ?

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Solve the inequality. x+41x+4 \geq 1

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A plumber cuts a pipe that is 18 feet long into xx equal pieces. Find an expression for the length of each piece.

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Simplify the algebraic expression. (5x+4)(4x5)( 5 x + 4 ) - ( 4 x - 5 )

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Find the indicated sum or difference. 9x+8+6x69 x + 8 + 6 x - 6

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Use a property of equality to solve the equation. 6=y86 = y - 8

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Find the indicated sum or difference. (3z24z+7)+(2z2+2z1)(6z24z+7)\left( - 3 z ^ { 2 } - 4 z + 7 \right) + \left( 2 z ^ { 2 } + 2 z - 1 \right) - \left( 6 z ^ { 2 } - 4 z + 7 \right)

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Solve the formula U=tpzU = t p z for the variable P\mathrm { P } .

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What is the numerical coefficient of the term 10 y ?

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Simplify the expression by combining similar terms. 94x+94x- 94 x + 94 x

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Find the indicated sum or difference. (3x2+8x+3)+(9x26x+2)\left( 3 x ^ { 2 } + 8 x + 3 \right) + \left( 9 x ^ { 2 } - 6 x + 2 \right)

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Solve the equation. q+9=5q + 9 = - 5 q=q = __________

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If a number is subtracted from 5 more than twice itself, the result is 11. Find the number.

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What is the degree of a term?

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If the opposite of a number must be less than 5, what are the possible numbers satisfying this condition? Any number __________ ( greater than / less than / greater than or equal to / less than or equal to) __________.

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Solve the formula for hh . Volume of a prism: V = Bh

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Simplify the expression. (9x)(7y)( - 9 x ) ( 7 y )

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Translate the verbal statement - M is positive using an inequality symbol.

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Find the miles per gallon to the nearest tenth of a gallon. Odometer Start : 47,213 Odometer Finish : 47,585 Gallons Used : 17.2

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