ALGEBRA
For the expression 9x3 - 4x2 + 2y - 1, how many terms are there?
4
What is the sin ratio?
sin = opp/hyp
What is the principal?
The initial amount of money invested or borrowed.
What is the probability of rolling an even number on a six-sided die?
1/2
Evaluate 1250 (give the answer as a number)
1
3(6x + 4) - 2(9x - 7)
26
Which of the following sets of sides can form a right-angled triangle?
A. 3 cm, 4 cm, 5 cm
B. 5 cm, 6 cm, 7 cm
C. 7 cm, 8 cm, 10 cm
D. 8 cm, 24 cm, 25 cm
A
What is the simple interest formula?
I = PRN/PRT
What is a complimentary event?
A complementary event is the event that represents all the outcomes in the sample space that are not part of a given event.
Simplify m12 ÷ m8
m4
Define coefficient, pronumeral and like terms.
Coefficient- The numerical factor in a term that is multiplied by the pronumeral. Pronumeral- A symbol or letter that represents an unknown or variable value in algebra. Like Terms- Terms that have the same pronumerals.
A ladder of length 3 m makes an angle of 32° with the wall. How far is the foot of the ladder from the wall?
1.59 m
Calculate the simple interest earned on a principal of $5,000 at an annual interest rate of 4% over 3 years.
$600
Define the term mutually exlcusive.
Two events are said to be mutually exclusive if they cannot occur at the same time or simultaneously.
Write 120 000 000 in scientific notation.
1.2 X 108
5x - 7 = 3x + 9
x = 8
A boat travels a distance of 5 km from A to B in a direction of 035°T. How far east of A is B?
2.87 km
What is the compound interest formula?
A=P(1+r/n)nt
Jack draws out two cards from a deck of cards, one after the other. Find the probability that he picks 2 kings.
1/221
James simplified the expression (x4)3 ÷ x3 and got x4 as a result. Explain, in words, James’s mistake.
After he performed the first operation, and found x12 he then performed division instead of subtraction. The correct answer should be x9
Solve these simultaneous equations:
3x + 2y = 14
y = x - 8
x = 6, y = -2
An observer with an eye level of 1.5m above the ground, stands 8 metres away from the base of a tree. The angle of elevation from the observer to the top of the tree is 50°. Find the height of the tree.
11.03 m
A loan of $10,000 is taken with an annual compound interest rate of 6%, compounded monthly. Calculate the total amount owed after 1 year.
$10 616.78
What is the formula to find the compliment of an event?
P(A') = 1 - P(A)
Which is biggest out of 1.2 × 103 and 9.89 × 102?
1.2 x 103