Exam 1: A Review of Basic Algebra

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Perform the operations. 2 + (- 7) + (- 4)

(Multiple Choice)
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Solve: 8( x + 3) = -3(9 - 4 x ) + 17

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The illustration shows the angle a needle should make with the skin when administering a certain type of injection. The illustration shows the angle a needle should make with the skin when administering a certain type of injection.    Find the measure of angle labeled x . __________ ∘  Find the measure of angle labeled 4 x . __________ ∘ Find the measure of angle labeled x . __________ ∘ Find the measure of angle labeled 4 x . __________ ∘

(Essay)
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Perform the operation. - 4(6)

(Short Answer)
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How many pounds of red licorice bits that sell for $1.97 per pound should be mixed with 5 pounds of lemon gumdrops that sell for $2.24 per pound to make a candy mixture that could be sold for $2 per pound?

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Find a fraction whose decimal equivalent is 1.191 . \overline { 19 }

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What kind of triangle has two sides with equal measures?

(Multiple Choice)
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Evaluate (xy)(x2+xy+y2)( x - y ) \left( x ^ { 2 } + x y + y ^ { 2 } \right) for x=9x = 9 and y=2y = - 2 .

(Short Answer)
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A student working for a delivery company earns $57.50 per day plus $4.75 for each package she delivers. How many deliveries must she make each day to earn $200 a day?

(Multiple Choice)
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A bookstore sells a textbook for $52.00. If the bookstore makes a profit of 30% on each sale, what does the bookstore pay the publisher for each book? ( Hint: The retail price = the wholesale price + the markup.) $__________

(Short Answer)
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Solve the formula for the specified variable. I=Prt for tI = P r t \text { for } t

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Solve: x32=7\frac { x } { 3 } - 2 = 7

(Short Answer)
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Translate the verbal model into a mathematical model. The product of the number of boxes b of crayons in a case and 11 gives the number of crayons c in a case.

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Use the given formula to complete the table. n=30.44Kn = 30.44 - K K n 0 30.44 1,01 ? 30.44 0

(Multiple Choice)
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Solve for Q3Q - 3 : 1Q=1Q1+1Q2+1Q3\frac { 1 } { Q } = \frac { 1 } { Q _ { 1 } } + \frac { 1 } { Q _ { 2 } } + \frac { 1 } { Q _ { 3 } }

(Essay)
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Evaluate: 923819 \cdot 2 ^ { 3 } - \sqrt { 81 }

(Multiple Choice)
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Solve the equation. Check the result. b2196=b3+56\frac { b } { 2 } - \frac { 19 } { 6 } = \frac { b } { 3 } + \frac { 5 } { 6 }

(Short Answer)
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The U.S. energy-related carbon dioxide emissions in 2006 were 5,877 million metric tons carbon equivalent. In 2005, that figure was 5,984 million metric tons. Find the percent of decrease and round to the nearest tenth of one percent.

(Multiple Choice)
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Solve the equation. Check the result. b2316=b3+56\frac { b } { 2 } - \frac { 31 } { 6 } = \frac { b } { 3 } + \frac { 5 } { 6 }

(Multiple Choice)
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Perform the operation. 84\frac { - 8 } { 4 }

(Short Answer)
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