Grade 9 Math
Solve the equation.
2/5 • b = 12/5
6
Simplify (-a2b3)2(c2)0
a4b6
Simplify Exponents and Radicals
Evaluate the following expression: ∛2 ∛(32)
4
Order from greatest to least
a) 25100
b) 2300
c) 3400
d) 4200
e) 2600
3400 , 2600, 25100 , 4200 , 2300
Add & Subtract Polynomials (answer should be a polynomial in standard form).
G=3t2−5t+6
P=−8t2+7t−9
What is the answer for G + P?
−5t2+2t−3
Complete the statement using < , > or =.
82/3 - 71/4 ____ 1
>
If (x2 - y2) = 10 and (x + y) = 2, find x and y.
x = 7/2 (or 3.5) , y = -3/2 (or -1.5)
Solve 4x - 3(2x) + 2 = 0
x = 0, 1
You want to invest $5000 into an account with an interest rate of 5.4%. How many complete years will it take to double your money?
14 years
2x4+4x3-30x2=?
2x2(x+5)(x-3)
At 10:00 A.M., Archie leaves the house at a rate of 60 mi/h. At the same time, Luna leaves the same house at a rate of 50 mi/h in the opposite direction. At what time will the two be 330 miles apart?
60t ± 50t = 330: 1:00 P.M.
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.
W = 15 and L = 20
Find the domain of the function f(x)=√(x2−4).
x ≤ -2, x ≥ 2
f(x) is a function such that f(x) + 3f(8 - x) = x for all real numbers x. Find the value of f(2).
f(2) = 2
x2−2x+1
----------- = ?
x - 1
x−1
Kevin is cutting wood to build his closet that are to be 141/4 inches wide. If he has a piece that is 114 inches long, how many boards can he cut from this wood piece?
Kevin can cut 8 pieces from this wood.
In a right triangle ABC with angle A equal to 90°, find angle B and C so that sin(B) = cos(B).
Let b be the length of the side opposite angle B and c the length of the side opposite angle C and h the length of the hypotenuse.
sin(B) = b/h and cos(B) = c/h
sin(B) = cos(B) means b/h = c/h which gives c = b
The two sides are equal in length means that the triangle is isosceles and angles B and C are equal in size of 45°.
Find the x and y intercepts of the parabola with equation y = - x 2 + 2 x + 3?
x = 3 and x = -1
y = - (0)
Given f(x) = x2 - 2, and g(x) = x + 3, find f(g(x)) in its most simplified form.
f(g(x))= x2 + 6x + 7
Solve:
4sin3x - 3sinx = 0 on the domain 0 ≤ x ≤ 360
x = 0, 180, 360, 60, 120
Find the x and y intercepts of the line with equation
3y - 6 = 3x
x = -2, y = 2
The lengths of side AB and side BC of a scalene triangle ABC are 12 cm and 8 cm respectively. The size of angle C is 59°. Find the length of side AC (rounded to one decimal place).
x = 14.0
Find the equation y = a x2 + x of the parabola that is tangent to the line with equation y = 3 x + 1.
y = -x2 + x
Solve the trigonometric equation given by
sin(x) - 2sin(x) = 1 for 0 ≤ x ≤ 360
210, 330 degrees
Mr Lucky plays two games. The two games are Game A and Game B. Playing Game A and playing Game B are independent events. The probability that Mr Lucky wins both games is 9/25 . The probability that Mr Lucky wins Game B is four times greater than the probability of him losing Game A. Find the probability that Mr Lucky wins only one of the two games he plays. You must show full workings.
29/50