Question 1

Write the number 0.000057 in scientific notation.

Accepted Answer

A)  $5.7 \times 10 ^ { - 8 }$ 
B)  $5.7 \times 10 ^ { - 4 }$ 
C)  $5.7 \times 10 ^ { - 5 }$ 
D)  $5.7 \times 10 ^ { - 6 }$ 
E)  $5.7 \times 10 ^ { - 7 }$ 
A)  $5.7 \times 10 ^ { - 8 }$ 
B)  $5.7 \times 10 ^ { - 4 }$ 
C)  $5.7 \times 10 ^ { - 5 }$ 
D)  $5.7 \times 10 ^ { - 6 }$ 
E)  $5.7 \times 10 ^ { - 7 }$ C

Question 2

A patient with acute myeloid leukemia has a white blood cell count of 1.8 × $10 ^ { 4 }$ cells/?l. Write this number in decimal notation

Accepted Answer

A)  180 cells/?l 
B)  1,800,000 cells/?l 
C)  1800 cells/?l 
D)  180,000 cells/?l 
E)  18,000 cells/?l 
A)  180 cells/?l 
B)  1,800,000 cells/?l 
C)  1800 cells/?l 
D)  180,000 cells/?l 
E)  18,000 cells/?l E

Question 3

Add: 9 + (-3) + 18 + (-13)

Accepted Answer

A)  11 
B)  43 
C)  17 
D)  -25 
E)  37 
A)  11 
B)  43 
C)  17 
D)  -25 
E)  37 A

Question 4

The combined scores of the top twelve golfers in a tournament equaled -48 (48 under par). What was the average score of the twelve golfers?

Accepted Answer

A)  36 
B)  -4 
C)  -1 
D)  -36 
E)  4 
A)  36 
B)  -4 
C)  -1 
D)  -36 
E)  4

Question 5

Simplify: $80.24 \div ( - 0.8 )$

Accepted Answer

A)  -100.3 
B)  -100,300 
C)  -10.03 
D)  100,300 
E)  100.3 
A)  -100.3 
B)  -100,300 
C)  -10.03 
D)  100,300 
E)  100.3

Question 6

Multiply: (-17)(-21)

Accepted Answer

A)  357 
B)  -4 
C)  38 
D)  -357 
E)  4 
A)  357 
B)  -4 
C)  38 
D)  -357 
E)  4

Question 7

Simplify the following. $( - 3 ) ^ { 2 } \times ( 40 - 5 ) ^ { 2 } - ( - 40 ) \div 4$

Accepted Answer

A)  11,035 
B)  7360 
C)  -11,035 
D)  325 
E)  -7360 
A)  11,035 
B)  7360 
C)  -11,035 
D)  325 
E)  -7360

Question 8

Find the sum of -18, -10, and 2.

Accepted Answer

A)  6 
B)  -30 
C)  -26 
D)  -10 
E)  10 
A)  6 
B)  -30 
C)  -26 
D)  -10 
E)  10

Question 9

State which number on the number line is in the location given below. 6 units to the right of -3

Accepted Answer

A)  9 
B)  -9 
C)  3 
D)  4 
E)  2 
A)  9 
B)  -9 
C)  3 
D)  4 
E)  2

Question 10

Find the quotient of -20 and -4.

Accepted Answer

A)  -24 
B)  -16 
C)  5 
D)  24 
E)  -5 
A)  -24 
B)  -16 
C)  5 
D)  24 
E)  -5

Question 11

Write the given numbers in order from smallest to largest. |-15|, |2|, -|9|, -3

Accepted Answer

A)  -|9|, -3, |2|, |-15| 
B)  -|9|, |-15|, |2|, -3 
C)  -|9|, -3, |-15|, |2| 
D)  |-15|, -|9|, -3, |2| 
E)  -3, -|9|, |-15|, |2| 
A)  -|9|, -3, |2|, |-15| 
B)  -|9|, |-15|, |2|, -3 
C)  -|9|, -3, |-15|, |2| 
D)  |-15|, -|9|, -3, |2| 
E)  -3, -|9|, |-15|, |2|

Question 12

A nurse's aide records the amount of liquid consumed by the residents on the second floor of an assisted living facility during each meal. Forty cups of liquid were consumed during supper. How many gallons of liquid were consumed by the residents on the second floor?

Accepted Answer

A)  $2 \frac { 3 } { 16 }$ gal 
B)  $2 \frac { 5 } { 16 }$ gal 
C)  $2 \frac { 7 } { 16 }$ gal 
D)  $2 \frac { 1 } { 4 }$ gal 
E)  $2 \frac { 1 } { 2 }$ gal 
A)  $2 \frac { 3 } { 16 }$ gal 
B)  $2 \frac { 5 } { 16 }$ gal 
C)  $2 \frac { 7 } { 16 }$ gal 
D)  $2 \frac { 1 } { 4 }$ gal 
E)  $2 \frac { 1 } { 2 }$ gal

Question 13

A patient on a diet records monthly changes in weight using integers. Calculate the total change in the patient's weight using these recorded amounts: -12 lb, -10 lb, +3 lb, +2 lb, and -9 lb.

Accepted Answer

A)  -29 lb 
B)  +28 lb 
C)  -24 lb 
D)  -26 lb 
E)  +21 lb 
A)  -29 lb 
B)  +28 lb 
C)  -24 lb 
D)  -26 lb 
E)  +21 lb

Question 14

Simplify the following expression. $\left( - \frac { 51 } { 71 } \right) \left( \frac { 19 } { 30 } \right)$

Accepted Answer

A)  $\frac { 323 } { 710 }$ 
B)  $\frac { 323 } { 647 }$ 
C)  $- \frac { 323 } { 710 }$ 
D)  $- \frac { 323 } { 970 }$ 
E)  $\frac { 323 } { 970 }$ 
A)  $\frac { 323 } { 710 }$ 
B)  $\frac { 323 } { 647 }$ 
C)  $- \frac { 323 } { 710 }$ 
D)  $- \frac { 323 } { 970 }$ 
E)  $\frac { 323 } { 970 }$

Question 15

Simplify the following. $10 \times 3 - ( 3 + 67 ) \div 7 + 3 - 10 + 3$

Accepted Answer

A)  -16 
B)  10 
C)  -10 
D)  16 
E)  36 
A)  -16 
B)  10 
C)  -10 
D)  16 
E)  36

Question 16

Simplify the following. $( - 4 ) ^ { 2 } - 2 \times 3 - 10$

Accepted Answer

A)  20 
B)  0 
C)  32 
D)  -32 
E)  -24 
A)  20 
B)  0 
C)  32 
D)  -32 
E)  -24

Question 17

A child's temperature was 101.4°F during a visit to the pediatrician for an ear infection. Three hours after beginning the antibiotic prescribed by the doctor, the change in the child's temperature was -2.1°. What was the child's temperature after beginning the antibiotic?

Accepted Answer

A)  98.9° 
B)  99.1° 
C)  99.6° 
D)  99.8° 
E)  99.3° 
A)  98.9° 
B)  99.1° 
C)  99.6° 
D)  99.8° 
E)  99.3°

Question 18

Add: -17 + 10

Accepted Answer

A)  -26 
B)  27 
C)  7 
D)  -7 
E)  -27 
A)  -26 
B)  27 
C)  7 
D)  -7 
E)  -27

Question 19

Find the temperature after a rise of 15°C from -8°C.

Accepted Answer

A)  -9°C 
B)  7°C 
C)  8°C 
D)  -7°C 
E)  10°C 
A)  -9°C 
B)  7°C 
C)  8°C 
D)  -7°C 
E)  10°C

Question 20

Simplify the following. $- 4 \div 2 + 7$

Accepted Answer

A)  5 
B)  -9 
C)  3 
D)  9 
E)  -2 
A)  5 
B)  -9 
C)  3 
D)  9 
E)  -2

Write the number 0.000057 in scientific notation.

A patient with acute myeloid leukemia has a white blood cell count of 1.8 × $10 ^ { 4 }$ cells/?l. Write this number in decimal notation

Add: 9 + (-3) + 18 + (-13)

The combined scores of the top twelve golfers in a tournament equaled -48 (48 under par). What was the average score of the twelve golfers?

Simplify: $80.24 \div ( - 0.8 )$

Multiply: (-17)(-21)

Simplify the following. $( - 3 ) ^ { 2 } \times ( 40 - 5 ) ^ { 2 } - ( - 40 ) \div 4$

Find the sum of -18, -10, and 2.

State which number on the number line is in the location given below. 6 units to the right of -3

Find the quotient of -20 and -4.

Write the given numbers in order from smallest to largest. |-15|, |2|, -|9|, -3

A nurse's aide records the amount of liquid consumed by the residents on the second floor of an assisted living facility during each meal. Forty cups of liquid were consumed during supper. How many gallons of liquid were consumed by the residents on the second floor?

A patient on a diet records monthly changes in weight using integers. Calculate the total change in the patient's weight using these recorded amounts: -12 lb, -10 lb, +3 lb, +2 lb, and -9 lb.

Simplify the following expression. $\left( - \frac { 51 } { 71 } \right) \left( \frac { 19 } { 30 } \right)$

Simplify the following. $10 \times 3 - ( 3 + 67 ) \div 7 + 3 - 10 + 3$

Simplify the following. $( - 4 ) ^ { 2 } - 2 \times 3 - 10$

A child's temperature was 101.4°F during a visit to the pediatrician for an ear infection. Three hours after beginning the antibiotic prescribed by the doctor, the change in the child's temperature was -2.1°. What was the child's temperature after beginning the antibiotic?

Add: -17 + 10

Find the temperature after a rise of 15°C from -8°C.

Simplify the following. $- 4 \div 2 + 7$

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Exam 11: Introduction to Algebra

Write the number 0.000057 in scientific notation.

A patient with acute myeloid leukemia has a white blood cell count of 1.8 × 10410 ^ { 4 }104 cells/?l. Write this number in decimal notation

Add: 9 + (-3) + 18 + (-13)

The combined scores of the top twelve golfers in a tournament equaled -48 (48 under par). What was the average score of the twelve golfers?

Simplify: 80.24÷(−0.8)80.24 \div ( - 0.8 )80.24÷(−0.8)

Multiply: (-17)(-21)

Simplify the following. (−3)2×(40−5)2−(−40)÷4( - 3 ) ^ { 2 } \times ( 40 - 5 ) ^ { 2 } - ( - 40 ) \div 4(−3)2×(40−5)2−(−40)÷4

Find the sum of -18, -10, and 2.

State which number on the number line is in the location given below. 6 units to the right of -3

Find the quotient of -20 and -4.

Write the given numbers in order from smallest to largest. |-15|, |2|, -|9|, -3

A nurse's aide records the amount of liquid consumed by the residents on the second floor of an assisted living facility during each meal. Forty cups of liquid were consumed during supper. How many gallons of liquid were consumed by the residents on the second floor?

A patient on a diet records monthly changes in weight using integers. Calculate the total change in the patient's weight using these recorded amounts: -12 lb, -10 lb, +3 lb, +2 lb, and -9 lb.

Simplify the following expression. (−5171)(1930)\left( - \frac { 51 } { 71 } \right) \left( \frac { 19 } { 30 } \right)(−7151​)(3019​)

Simplify the following. 10×3−(3+67)÷7+3−10+310 \times 3 - ( 3 + 67 ) \div 7 + 3 - 10 + 310×3−(3+67)÷7+3−10+3

Simplify the following. (−4)2−2×3−10( - 4 ) ^ { 2 } - 2 \times 3 - 10(−4)2−2×3−10

A child's temperature was 101.4°F during a visit to the pediatrician for an ear infection. Three hours after beginning the antibiotic prescribed by the doctor, the change in the child's temperature was -2.1°. What was the child's temperature after beginning the antibiotic?

Add: -17 + 10

Find the temperature after a rise of 15°C from -8°C.

Simplify the following. −4÷2+7- 4 \div 2 + 7−4÷2+7

Whole Numbers

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Applications for Business

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A patient with acute myeloid leukemia has a white blood cell count of 1.8 × $10 ^ { 4 }$ cells/?l. Write this number in decimal notation

Simplify: $80.24 \div ( - 0.8 )$

Simplify the following. $( - 3 ) ^ { 2 } \times ( 40 - 5 ) ^ { 2 } - ( - 40 ) \div 4$

Simplify the following expression. $\left( - \frac { 51 } { 71 } \right) \left( \frac { 19 } { 30 } \right)$

Simplify the following. $10 \times 3 - ( 3 + 67 ) \div 7 + 3 - 10 + 3$

Simplify the following. $( - 4 ) ^ { 2 } - 2 \times 3 - 10$

Simplify the following. $- 4 \div 2 + 7$