Probability Question

Sarah is playing a game of cards with her friend. Sarah is supposed to draw a card from the deck. The deck consists of 52 cards; 26 red and 26 black. Also, the deck was shuffled several times before the game. What is the probability that Sarah will pick up a red card?


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Answers for Textbook pages 1-7

1. Describe lines that intersect at 90 degrees.
- Perpendicular.

2. Describe lines in the same plane that never intersect.
- Parallel

3. A line that divides a line segment in half and is at right angles (90 degrees) to it.
- Perpendicular bisector

4. A line that divides an angle into two equal parts.
- Angle bisector.

5. A part of a line between two endpoints.
- Line segment.

6. Which of the following are parallel, and which are perpendicular?
a) parallel
b) perpendicular
c) perpendicular
d) parallel

7. Copy these line segments into your notebook. Draw two perpendicular line segments and two parallel line segments for each.

a)

b)

Answers for 3 Questions

1. Annie has been asked to calculate 1.7 + 6 / 2. She claims the answer is 3.85. Do you agree? Explain why or why not.

I don't agree because first you have to divide 6 into 2 which makes 3. Then you have to add 3 to 1.7 which makes 4.7.

2. Put brackets in the following expression to get the largest value possible. What problem strategy did you use? 3 x 2.8 + 6.4 / 4

I used: (3 x 2.8) + (6.4 / 4) = 10

3. Create a problem that could be solved using the following expression:
2.5 + 1.25 + 5 x 1.6

(2.5 + 1.25) + (5 x 1.6) = 11.75

Order of Operations

The language of math.

B - brackets

E - exponents

D - division

M - multiplication

A - addition

S - subraction


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Corrections for Number 22

22. Use the coordinate grid shown to do the following:
a) Rotate ABC 90 degrees in a counterclockwise direction about centre of rotation C.
b) Translate A'B'C' 3 units right and 3 units down.
c) What are the coordinates of B"?

How I got the question wrong:
I rotated the figure ABC 90 degrees clockwise instead of counterclockwise, which made the figure in the wrong position. The coordinates for the WRONG image were: A (-2, -3) B (1, 0) C (-2, 0). It basically looks like all I did was reflect it on the x-axis. Also, I wrote down that the coordinates of B" were (4, -3) and it was all because of that wrong rotation.

My correction for that problem:
I did the problem again, except I rotated the image counterclockwise, like I should've done before. I ended up with the image's coordinates being these: A (-2, 3) B (-5, 0) C (-2,0). For the third part of the question, I wrote that the coordinates of B" are (1,0).