Maintenance Sheet 0 (Must Show Work for Credit) Name

Maintenance Sheet 0 (must show work for credit) Name:

1) Write the fraction 5⁄37 as a decimal.

2) Which of the following statements are true of irrational numbers? Check all that are true. 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 true of rational numbers? Check all that are true. 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: √(9/64)

7) Rewrite in Standard Notation: 1.234 ×

8) Rewrite in Scientific Notation: .0000033.

9) The diameter of a single human hair is .000025 meters. Rewrite this number in scientific notation.

10) The distance from the Earth to the Sun is 150,000,000,000 meters. Rewrite this number in scientific notation.

11) Rewrite 62,400 × in scientific notation.

1 20) Bob's age is 4 times greater than Susanne's age. Dakota is three years younger than Susanne. The sum of Bob's, Susanne's, and Dakota's ages is 93. What is Susanne's age?

21) Tia bought a sweater that was discounted for 20% of the original price. She saved $4.60 with the discount. What was the original price of the sweater?

22) Find the slope and y-intercept of the following equation: y = -2x + 6

23) What is the slope of the line with the equation 16 + x = -4y?

24) What is the slope of the line with the equation -5x = -3y?

25) In trapezoid ABCD, point D has coordinates D(1,3). If the trapezoid is translated 2 units left and 5 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 reflected over the y-axis, what are the coordinates of R'?

27) Quadrilateral ABCD is rotated 90° counterclockwise about the origin, translated 4 units to the left and 3units 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 =, b = 5, c = 12

2 31) Use the Pythagorean Equation to find the distance between points (10, -5) and (-5, -9)

32) Ted needs to paint a window frame that is 25 feet above the ground. Since there are flowers around his house, the ladder must be 10 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 radius of 5 inches and a height of 3 inches. (Use 3.14 for pi and round your answer to the nearest tenth.)

34) Find the volume of a cylinder that has a diameter of 6 centimeters and a height of 5 centimeters. (Use 3.14 for pi and round your answer to the nearest tenth.)

35) Find the volume of a cone that has a radius of 5 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 diameter of 15.4 millimeters. (Leave your answer in pi)