MPM 2D1Things you need to know to survive in
Grade 10 Academic Mathematics
Complete the following questions in your notes. Please write down both the question and your answer showing all your steps. Ask for help from the teacher or your neighbour if you need to. Your task today is to make sure that you understand the solution to each question, not just to get the right answer. Dig deep into your memories. Look back over last year's math notes tonight if you have them.
1.Using the bracket keys on your calculator, evaluate the following.
a)b)
c)
2.Evaluate without using a calculator. Show all steps.
a)b)
c)
3.Find the value of each expression for and .
a)b)
4.If you stand on the moon and jump up at an initial speed of 4 m/s, your approximate height above the surface, h, in metres, is given by , where t is the time in seconds after you jump. Determine your height above the surface of the moon 2 seconds after you jump.
5.Simplify the following algebraic expressions. Expand brackets and collect like terms.
a)b)
c)
6.Solve for a value for x that satisfies each of the following equations. (Find a value
for x that makes the equation true) Show all your steps. No guessing!
a)b)
c)d)
e)
7.a)Complete the table of values below for the linear relationship .
x106420-2-4-6-10
y
b)Graph the ordered pairs above on a graph drawn in your notes by placing another lined sheet under your page, turned 90 degrees. Draw and label the line . Label the axes and four points on the line. Be sure to extend your line right to the edges of the graph paper.
c)Label the ordered pairs that represent the x and y intercepts on your graph.
d)Draw a Rise/Run triangle between any two points on the line and calculate the
slope of the line. Recall: Slope = .
8.Determine the slope and the y-intercept for each of the following lines. Recall :
a)b)
c)
It is important that you understand how to do each of the questions above before we begin this year's math course. Please come and get extra help in the room if you do not get the help you need in class time. Please sign below if you carefully read the first and last paragraph on this handout. Please hand in this sheet, stapled to your solutions, by Friday.