Exam 5: The Real Number System

Multiply. (12)(-2)

Change the fraction to an equivalent fraction with the given denominator. $\frac { 14 } { 39 } = \frac { ? } { 273 }$ A) $\frac { 98 } { 273 }$ B) $\frac { 546 } { 273 }$ C) $\frac { 14 } { 273 }$ D) $\frac { 28 } { 273 }$

Find the common ratio. 3, 9, 27, 81, 243, . . .

Simplify and write the answer in exponential notation using positive exponents. Then evaluate. $\frac { 3 ^ { 5 } } { 3 ^ { 4 } }$

Simplify the radical. $\sqrt { 162 }$ A) 18 B) $81 \sqrt { 2 }$ C) $9 \sqrt { 2 }$ D) $9 \sqrt { 18 }$

A bakery makes three types of muffins to be distributed to local grocery stores: chocolate chip, blueberry, and banana nut. Each morning, the bakers produce 360 chocolate chip muffins, 420 blueberry muffins, and 180 banana nut. They want to package the muffins efficiently for shipping. The plan is to pack them in boxes so that every box has just one kind of muffin, and every box has the same number of muffins. What's the smallest number of boxes they can ship in total?

Find the sum of the first 10 terms 5, -20, 80, -320, 1280, . . .

What expression will give the sum of the first 11 terms of the following sequence? $5,20,80,320,1280 , \ldots$ . A) $\frac { 5 \left( 1 - 4 ^ { 11 } \right) } { 1 - 4 }$ В) $\frac { 4 \left( 1 - 5 ^ { 10 } \right) } { 1 - 5 }$ C) $\frac { 11 ( 5 - 15 ) } { 2 }$ D) $\frac { 4 \left( 1 - 5 ^ { 11 } \right) } { 1 - 4 }$

Simplify and write the answer in exponential notation using positive exponents. Then evaluate. $\left( 3 ^ { 2 } \right) ^ { 3 }$

Find (a) the first term (b) the common ratio (c) the 12th term (d) the sum of the first 12 terms 2, 4, 8, 16, 32, . . .

Change the decimal to a reduced fraction. 0.12 A) $\frac { 6 } { 5 }$ B) $\frac { 3 } { 250 }$ C) $\frac { 3 } { 25 }$ D) $\frac { 3 } { 2500 }$

Perform the operation and simplify the answer. $5 \sqrt { 33 } \cdot 4 \sqrt { 11 }$ A) $99 \sqrt { 3 }$ В) 660 C) $2420 \sqrt { 3 }$ D) $220 \sqrt { 3 }$

A company decided to fine its workers for parking violations on its property. The first offense carries a fine of $12, the second offense is $18, the third offense is $24, and so on. What is the fine for the eighth offense?

Perform the indicated operation and simplify the answer. $5 \sqrt { 24 } + 3 \sqrt { 54 }$ A) $8 \sqrt { 78 }$ B) $19 \sqrt { 6 }$ C) $47 \sqrt { 6 }$ D) Cannot be simplified.

Reduce the fraction to the lowest terms. $\frac { 748 } { 8712 }$ A) $\frac { 748 } { 198 }$ B) $\frac { 17 } { 198 }$ C) $\frac { 17 } { 8712 }$ D) $\frac { 187 } { 2178 }$

A company uses $\frac { 3 } { 7 }$ of its budget for advertising. Of that, $\frac { 1 } { 5 }$ is spent on television advertisement. What part of its budget is spent on television advertisement? A) $\frac { 15 } { 7 }$ B) $\frac { 22 } { 35 }$ C) $\frac { 3 } { 35 }$ D) $\frac { 7 } { 15 }$

Perform the indicated operation and simplify the answer. $\frac { \sqrt { 105 } } { \sqrt { 7 } }$