Exam 3: Introduction to Algebra

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Solve the equation. a5=3a - 5 = - 3 a=a = __________

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Find two consecutive even numbers whose sum is 98. Smaller number = __________ Second number = __________

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Simplify the expression. 18y+83y818 y + 8 - 3 y - 8

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Find the indicated sum or difference. (3z2+1)+(7z21)\left( - 3 z ^ { 2 } + 1 \right) + \left( 7 z ^ { 2 } - 1 \right)

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Simplify the algebraic expression. (n11)(n4)( n - 11 ) ( n - 4 )

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Find the indicated sum or difference. 2s7t4s+t2 s - 7 t - 4 s + t

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Classify the polynomial. ZXW

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Solve the formula for WW . Perimeter of a rectangle: P = 2L+ 2W

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Multiply. 8x(2y)(x)(2y)8 x ( - 2 y ) ( - x ) ( - 2 y )

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If If   , then the endpoint is __________( an open dot / a closed dot ). , then the endpoint is __________( an open dot / a closed dot ).

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Give the degree and the numerical coefficient of the following term. 7x37 x ^ { 3 } coefficient = __________ degree = __________

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Find the degree of the polynomial. Enter your answer as a number. cc 33 +3+ 3

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Solve the equation. a9=5a - 9 = - 5

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When you multiply reciprocals, the product is __________.

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Match each definition below with the letter of the corresponding property.
The solution of an equation is unchanged by subtracting the same number from both sides of the equation.
 Multiplication Property of Equations \text { Multiplication Property of Equations }
The solution of an equation is unchanged by adding the same number to both sides of the equation.
 Subtraction Property of Equations \text { Subtraction Property of Equations }
The solution of an equation is unchanged by multiplying both sides of the equation by the same nonzero number.
 Addition Property of Equations \text { Addition Property of Equations }
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The solution of an equation is unchanged by subtracting the same number from both sides of the equation.
 Multiplication Property of Equations \text { Multiplication Property of Equations }
The solution of an equation is unchanged by adding the same number to both sides of the equation.
 Subtraction Property of Equations \text { Subtraction Property of Equations }
The solution of an equation is unchanged by multiplying both sides of the equation by the same nonzero number.
 Addition Property of Equations \text { Addition Property of Equations }
The solution of an equation is unchanged by dividing both sides of the equation by the same nonzero number.
 The Division Property of Equations \text { The Division Property of Equations }
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A cabinet shop produces two types of custom-made cabinets for a customer. If the fancy cabinet costs 5 times as much as the standard cabinet, and if the total price for both cabinets is $7,350, how much does each cabinet cost?

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Translate the verbal statement -S is nonnegative using an inequality symbol.

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Suppose that 4 times a number is added to 12 and the result is negative. What are the possible solutions?

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Find two consecutive numbers whose sum is 169. Smaller number = __________ Second number = __________

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If a number is subtracted from 4 more than twice itself, the result is 11. The number is: __________

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