Linear Systems
Geometry/Trigonometry
Quadratics
Geometry/Trigonometry pt. 2
Miscellaneous
100
If two lines are parallel but never meet, what can we say about their slopes and y-intercepts
Slopes are the same, y-intercepts are different
100
What is the distance between the points (3,-2) and (9,6)?
10 units
100
What do the zeroes of a quadratic refer to?
the x-intercepts
100
Should you use the sine law or the cosine law to solve this triangle?
Sine law
100
Express as a power of 2:
16 x 45 x 1/2-3
217
200
What is the solution to the following system of linear equations?
4a – 4b = 10 -4a – 5b =8
(0.5, -2)
200
The equation of a circle with the centre at (0, 0) and a DIAMETER of 8 units is
x2 + y2 = 16
200
What are the zeroes of y=x2 -8x?
0 and 8
200
Two triangles are similar. Corresponding sides measure 3 and 15cm. If the perimeter of the smaller triangle is 12 cm, what is the perimeter of the larger triangle?
60cm
200
What is the equation for a standard parabola that opens down, is translated left 3, up 4, and stretched by 5
y= -5(x+3)2 +4
300
Graph the following system of equations. Then state the solution.
y = –2x + 5
4x – y = 1
(1,3)
300
A triangle has sides with slopes 3/4 and -4/3. What type of triangle is it?
A right triangle
300
Solve for x:
x2 + 5x - 36 = 0
x = -9 or x = 4
300
What is the measure of x, to one decimal place?
29.7o
300
Express the area of the shaded portion as an algebraic expression
9x + 84
400
Ahmed bought 15 movie tickets for $123. He bought a combination of student tickets for $7 each and adult tickets for $10 each. How many tickets of each type did Ahmed buy? Use the method of your choice to solve this problem.
6 adult, 9 student
400
A ramp rises 8 cm for every 66 cm horizontal distance. What is the slope angle correct to 1 decimal place?
6.9o
400
Complete the square and state the vertex for this equation:
y= -0.5x2 - 6x+3
(-6,21)
400
An airplane is observed from two observation stations 20 miles apart. The angles of elevation from the stations are 15o and 30o. What is the altitude of the airplane? Answer to 1 decimal place.
3.9 miles
400
Ayesha launched a rocket held on a stand. The height of the rocket, h, measured in metres, after t seconds is modelled by h = –6.1t2 + 40t + 1.8 . At what time(s) will the rocket reach the height of 15 m? Show the steps of your solution. Round your final answer to one decimal place.
6.2 seconds and 0.3 seconds