Exam 1: A Review of Basic Algebra

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Determine whether the statement is true or false. 25N-25 \in \mathbb{N}

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Evaluate the expression for the given values. x2a2+y2b2\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } for x=3,y=4,a=5,b=5x = - 3 , y = - 4 , a = 5 , b = - 5

(Short Answer)
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   Estimate the amount of the least average expenditure. Estimate the amount of the least average expenditure.

(Multiple Choice)
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A(n) __________ number is any number that can be written as a fraction with an integer numerator and a nonzero integer denominator.

(Short Answer)
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When the regular price of an item is reduced, the amount of reduction is called the __________.

(Short Answer)
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The set of _________ is the set {,4,3,2,1,0,1,2,3,4,}\{ \ldots , - 4 , - 3 , - 2 , - 1,0,1,2,3,4 , \ldots \}

(Short Answer)
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A(n) __________ angle has a measure of more than 0∘ and less than 90∘ .

(Short Answer)
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How many pounds of red licorice bits that sell for $1.99 per pound should be mixed with 5 pounds of lemon gumdrops that sell for $2.16 per pound to make a candy mixture that could be sold for $2 per pound? __________ lb of red licorice bits

(Short Answer)
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Find the value of the expression. - |- 9|

(Short Answer)
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Evaluate the expression. (1.1)2( 1.1 ) ^ { 2 }

(Multiple Choice)
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How much water should be added to 26 ounces of a 27% solution of alcohol to dilute it to a 13% alcohol solution? ln37.15\ln 37.15 __________ oz

(Short Answer)
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List the elements of {3,83,0,23,1,5,2,π,4.45,9,16.6}\left\{ - 3 , - \frac { 8 } { 3 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 5 } , 2 , \pi , 4.45,9,16 . \overline { 6 } \right\} that belong to the set of rational numbers.

(Multiple Choice)
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Find the value of the expression. |- 20|

(Multiple Choice)
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The set of rational numbers together with the set of irrational numbers form the set of __________ numbers.

(Short Answer)
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Solve the equation. Check the result. 38d=9\frac { 3 } { 8 } d = 9

(Short Answer)
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Solve the equation. Check the result. 6t35t2=3+t+15\frac { 6 - t } { 3 } - \frac { 5 t } { 2 } = 3 + \frac { t + 1 } { 5 }

(Multiple Choice)
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An investment club invested part of $9,000 at 6% annual interest and the rest at 5%. If the annual income from these two investments is $505, how much was invested at 6%? $________

(Short Answer)
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A dress that normally sells for $92 is on sale for $55.99. Find the percent of markdown. Round the answer to the nearest percent. ________ %

(Short Answer)
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Last year, a women's professional organization made two small business loans totaling $31,000 to young women beginning their own businesses. The money was lent at 7% and 10% simple interest rates. If the annual income the organization received from these loans was $2,920, what was each loan amount?

(Multiple Choice)
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A seed company sells two grades of grass seed. A 100-pound bag of a mixture of rye and Kentucky bluegrass sells for $245, and a 100-pound bag of bluegrass sells for $347. The receipts for 18 bags are $4,920. How many bags of the mixture are sold in a week? __________ bags How many bags of the bluegrass are sold in a week? __________ bags

(Essay)
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