Maintenance Sheet 15

Unit 2: Expressions & Equations

  1. James wants to sort a set of numbers into two groups. Use the values at the bottom and write each value in its correct column to show which are rational numbers and which are irrational numbers.
  1. Approximately 7.5 x 105 gallons of water flow over a waterfall each second. There are 8.6 x 104 seconds in 1 day. Select the approximate number of gallons of water that flows over the waterfall in 1 day.
  2. 6.45 x 1021
  3. 6.45 x 1020
  4. 6.45 x 1010
  5. 6.45 x 109
  1. Select all the statements that are true about.
  2. It is a rational number.
  3. It is an irrational number.
  4. When it is written as a decimal, it terminates.
  5. When it is written as a decimal, it repeats.
  6. It is an approximate value of pi.
  7. When it is written as a decimal, it is equivalent to 3.10.
  1. Select whether each equation has no solution, one solution, or infinitely many solutions.
  1. An equation is shown, 3m x 3n = 3-2. What are the possible values of m and n?

m = n =

  1. Determine whether each number is rational or irrational.

  1. An expression is shown. Which expression is equivalent?
  1. 2 x 10-17
  2. 2 x 10-12
  3. 2 x 10-2
  4. 2 x 1012

Unit 3: Application of Geometric Shapes

  1. A cone with radius 4 feet is shown. Its approximate volume is 165 cubic feet. What is the height of the cone, in feet? Round your answer to the nearest hundredth.
  1. A 13-foot ladder is leaning on a tree. The bottom of the ladder is on the ground at a distance of 5 feet from the base of the tree. The base of the tree and the ground form a right angle as shown. What is the distance, in feet, between the ground and the top of the ladder?
  1. The points show different locations in Joe’s town. Each unit represents 1 mile. What is the shortest distance, in miles, between Joe’s home and the park? Round your answer to the nearest tenth.

Unit 4/5: Relations and Linear Functions

  1. Which equation has a rate of change greater than the rate of change for the line shown?
  2. y =3x+1
  3. y =
  4. y = 2x+2
  5. y =
  1. This graph shows a proportional relationship between the amount of money in Jack’s savings account and the number of weeks Jack has been saving money. Select the statement that correctly reflects what is shown in the graph.

  1. The slope of the line is , so Jack’s savings rate is $6 every week.
  2. The slope of the line is , so Jack’s savings rate is $1 every 6 weeks.
  3. The slope of the line is , so Jack’s savings rate is $6 every week.
  4. The slope of the line is , so Jack’s savings rate is $1 every 6 weeks.
  1. The table shows the amount of money in Jody’s bank account on certain days. Create an equation that models the relationship between the day, d, and the amount of money, a, in Jody’s bank account.
  1. Graph a line that has a slope of -3 and y-intercept of 2.