Maintenance Sheet R (must show work for credit) Name:
1)Write the decimal 7.8888… as a fraction.
2)Which of the following statements are false of irrational numbers?
Check all that are false.
Irrational numbers can be written as one integer divided by another integer.
The square root of two is an example of an irrational number.
In decimal form, irrational numbers continue on forever without ever repeating.
Irrational numbers can NOT be written as fractions.
Repeating decimals are irrational numbers.
3)Which of the following statements are false of rational numbers?
Check all that are false.
Rational numbers can NOT be written as fractions.
The square root of four is an example of a rational number.
In decimal form, rational numbers continue on forever without ever repeating.
A rational number can have zero as the denominator.
A repeating decimal is a rational number.
4)Evaluate: =
5)The square root falls between which pair of numbers?
6)Evaluate: √(16/36)
7) Rewrite in Standard Notation: 12.3 ×
8) Rewrite in Scientific Notation: .0010378
9) The diameter of an object is .005 meters. Rewrite this number in scientific notation.
10) The distance from the Earth to the Sun is 150,000,000 meters. Rewrite this number in scientific notation.
11) Rewrite 3.0540 × in scientific notation.
20) Bob's age is triple Susanne's age. Dakota is 4 years less than Susanne. The sum of
Bob's, Susanne's, and Dakota's ages is 26. What is Susanne's age? (show your work)
21) Tia bought a sweater that was discounted for 25% of the original price. She saved $8.60 with the discount.
What was the original price of the sweater?
22) Find the slope and y-intercept of the following equation: y = x
23) What is the slope of the line with the equation x = -4?
24) A line contains the points (-6,4) and (3,-5). What is the equation of the line in slope intercept form?
25) In trapezoid ABCD, point D has coordinates D(-5,3). If the trapezoid is translated 3 unit right and 4 units down, what are the coordinates of D'?
26) A triangle has vertices P(-5, 1), Q(-2, 3) and R(2, 0). If the triangle is rotated 45 degrees clockwise and reflected over the x-axis, what are the coordinates of P'?
27) Quadrilateral ABCD is rotated 180° clockwise about the origin, translated 5 units to the left and 4 units up, and then reflected over the y-axis. What is the relation between the final image and the original preimage?
28) Draw two similar rectangles. You must label the side lengths for both.
29) Draw two congruent triangles. You must label the side lengths and angles for both.
30) Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth.
a = 15, b = 9, c = x
31) Use the Pythagorean Equation to find the distance between points (8, 11) and (5, -9)
32) Ted needs to paint a window frame that is 30 feet above the ground. Since there are flowers around his house, the ladder must be 18 feet away from the house. How long does his ladder need to be to reach the window?
33) Find the volume of a cylinder that has a diameter of 8 inches and a height of 10 inches.(Use 3.14 for pi and round your answer to the nearest tenth.)
34) Find the volume of a cylinder that has a radius of 3 centimeters and a height of 5centimeters. (Use 3.14 for pi and round your answer to the nearest tenth.)
35) Find the volume of a cone that has a diameter of 12 centimeters and a height of 7 centimeters. (Use 3.14 for pi and round your answer to the nearest hundredth.)
36) Find the volume of a sphere that has a radius of 6.4 millimeters. (Leave your answer in pi)
41.
42.
43. Solve using the graph
44. How do you know if an equation is a linear function?
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