Exam 1: A Review of Basic Algebra

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Given the formula t=d40t = \frac { d } { 40 } . If d=8 , find t .

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Solve the equation. Check the result. 3(k4)=363 ( k - 4 ) = - 36

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What kind of angles have their sum of measures equals 180180 ^ { \circ } ?

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Evaluate the expression. 182(5)249\frac { | - 18 | - 2 ( - 5 ) } { 2 ^ { 4 } - 9 }

(Short Answer)
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Solve the formula for the specified variable. A=12bh for hA = \frac { 1 } { 2 } b h \text { for } h

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Insert either a or a symbol to make a true statement. 9.079.07 ________ 179\frac { 17 } { 9 }

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A group of junior high students will be touring Washington, D.C. Their chaperons will have the $1,686 cost of the tour reduced by $15.50 for each student they personally supervise. How many students will a chaperon have to supervise so that his or her cost to take the tour will be $1,500?

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Evaluate the expression. (9+23)4( 9 + 2 \cdot 3 ) ^ { 4 }

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   In what year was the average expenditure the least?  __________ Estimate the amount. __________ In what year was it the greatest?  __________ Estimate the amount. __________ In what year was the average expenditure the least? __________ Estimate the amount. __________ In what year was it the greatest? __________ Estimate the amount. __________

(Essay)
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Perform the operation. Subtract 15- \frac { 1 } { 5 } from 13\frac { 1 } { 3 } .

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The __________ of a plane geometric figure is the amount of space it encloses.

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Solve c=a+(n8)dc = a + ( n - 8 ) d for n.

(Multiple Choice)
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Solve the equation. Check the result. 4t45t3=4+t+15\frac { 4 - t } { 4 } - \frac { 5 t } { 3 } = 4 + \frac { t + 1 } { 5 }

(Essay)
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X Y -4 -8 0 -5 4 -2 -If H=14kH = \frac { 14 } { k } and k=7mk = \frac { 7 } { m } , then H=H = ________ mm

(Short Answer)
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Paula split an inheritance between two investments, one a certificate of deposit paying 7% annual interest, and the other a promising biotech company offering an annual return of 10%. She invested twice as much in the 10% investment as she did in the 7% investment. If her combined annual income from the two investments was $2,700, how much did she inherit?

(Multiple Choice)
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Perform the operation. - 3(- 4)

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List the elements of {3,85,0,13,1,5,3,π,4.55,7,16.6}\left\{ - 3 , - \frac { 8 } { 5 } , 0 , \frac { 1 } { 3 } , 1 , \sqrt { 5 } , 3 , \pi , 4.55,7,16 . \overline { 6 } \right\} that belong to the set of real numbers.

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Evaluate (27a)2b\left( \frac { 2 } { 7 } a \right) ^ { 2 } - b for a=7a = - 7 and b=12b = - \frac { 1 } { 2 }

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__________ numbers are nonterminating, nonrepeating decimals.

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List the elements of {2,85,0,13,1,5,3,π,4.55,8,14.6}\left\{ - 2 , - \frac { 8 } { 5 } , 0 , \frac { 1 } { 3 } , 1 , \sqrt { 5 } , 3 , \pi , 4.55,8,14 . \overline { 6 } \right\} that belong to the set of irrational numbers.

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