1. Solve the following problems:
(a) 2,561 ‒ 9,718 = -7157
(b) 7 × 2 + (7 + 3 × (5 ‒ 2)) ÷ 4 × 2 = 22
44/45 ÷ 11/9 = 4/5
‒24 × ‒7 = 168
7826 ÷ 16 = 489 1/8
| ‒56 | ‒ | ‒110 | = -54
Write 0.0000000567 in scientific notation. = 5.67
3 divide 27 = 3
0.32 ÷ 0.008 = 40
2. In a typical month, Mr. Robertson spends 35% of his time working, 30% of his time sleeping, 5% of his time eating, 20% of his time fishing, and the remainder doing other things.
(a) In a 30-day month, how many days will he be fishing? = 6
(b) Write the part of his time that Mr. Robertson is NOT sleeping as a fraction and reduce it to lowest terms. = 7/10
(c) If he makes $28 per hour on average when he is working, how much will Mr. Robertson earn in a typical 30 day month? = 7056
(d)
Find what percentage of his time Mr. Robertson is doing “other things” and write this as a decimal number. = 0.1
(e)
For a 30 day month, find the ratio of days that he will be fishing to days that he will NOT be fishing and reduce this to lowest terms. = 1:4
3. Answer the following questions about the spreadsheet information below containing the exam scores of a group of five students:
a) What is the address of the cell that contains the score of Student 4 on Exam 6? = E7
b) What do you think was typed into cell D8? = D2 : D7
c) If you wanted to calculate the standard deviation for the Exam 1 scores, which cell would you use and what would you type? = B2 : F2
4. Factor the following polynomial. Then evaluate it if x = 9.
x2 + 8x + 15 = x + 3 x + 5, for x = 9 is = 168
5. Find the solution to the following pair of simultaneous equations:
y ‒ 2x = 1 = x = 3
2y ‒ 3x = 5 = y = 7
6. There are two numbers whose sum is 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers? = smaller number = x bigger number = 53-x
7. How many distinct permutations of the letters in the word ‘ROOKS? = 60
8. Caleb must choose 4 books to take on a trip. He has 8 books to choose from. How many combinations of 4 books are available? = 70
9. Convert the binary number 110111002 to a decimal number. = 2 7 2 6 2 5 2 4 2 3 2 2 2 1 2 0
10. Lines m and n are parallel in the following figure.
a) Which angles are exterior? = 1 8 4 5
b) Which angles are interior? = 2 7 3 6
c) Which angle(s) is or are alternate to angle 1? = 5
d) Which angle(s) is or are corresponding to angle 5? = 7
e) Which angle(s) is or are vertical to angle 2? = 8
f) If m4 =∠ 110°, find the measures of angles 7 & 8. = 70 degrees
11. Answer the following questions about the figure on the right below.
a) Find the measure of all of the interior angles in the
figure. = 48 degrees
b) Name all of the triangles in the figure, and classify
them using the information found in (a). = right obtuse acute
c) If you drew a bisector of ABD∠, what would be the
measure of the two resulting angles? 92/2
d) If the length of the hypotenuse of ∆ACD is 15 inches,
and the length of the longer leg is 12 inches, find the
length of the shorter leg. Leave any radicals as radicals. a = 31
12. Find the value of x for the figure below. = 360
13. Answer the following questions about a regular dodecagon, which is 12sided
polygon.
a) What is the sum of all the angles in the dodecagon? = 180 10
b) What is the measure of each angle in the dodecagon? 1900/12
c) If each side is 5 inches long, what is the perimeter? = 60 in
d) How many diagonals could be drawn from one vertex of a dodecagon? = 9
Lesson Learning 