Geometry
Factoring Polynomials
Algebra Review
Systems of Equations
Linear Equations
100
In an isosceles right triangle, the length of the legs is . What is the length of the hypotenuse?
10sqrt3
100
A polynomial that has three terms
What is a trinomial?
100
476
100
A linear system of 2 equations with no solutions
Multiple answers:
skew lines, parallel lines etc.
100
The form of a linear equation where everything equals to 1.
Intercept form
x/a +y/b =1
200
2 names for a 7 sided shape
hepta/septa gon
200
Factor the algebraic expression (x−1)2−(y−2)2
(x−y+1)(x+y−3)
200
Give the solution set for :
m<2.75
ans in integer set : {2, 1, 0, ...}
200
Solution to
1. a=2b+2
2. 5a-9b=12
(6,2)
200
Rewrite the following equation in slope-intercept form. 3x + 6y = -18
y = -1/2x - 3
300
If the height of an equilateral triangle is 12 cm, find the perimeter of the triangle.
24sqrt3
300
Factor the algebraic expression 6x2−21xy+8xz−28yz.
(2x−7y)(3x+4z)
300
x=11
300
1. (4x)(16x+2)=16y
2. 162x =42y+21
x=25
y=39.5
300
Write the slope-intercept form of the equation of the line passing through the point (51,21) and sharing the y-intercept of the line 4x – 20y – 55 = 0.
y=(95/204)x- (11/4)
400
A rectangle has sides with the lengths of 5 m and 1.2 m. The length of the larger side is decreased by 50% and the length of the smaller side is increased by 150%.
a)Does the overall area increases or decreases
b) by how much %
decrease by 25%
400
Use the 5 step method to factor:
637x2 +159x-396=0
(49x-33)(13x+12)=0
400
Find k if .
k=-11/4
400
Solution to
1. 3x-8y=2
2. 21x-56y=-16
No solution, the lines are parallel
400
For what value of k is the point (−2,k) on the line −3x+3y=4.
k=-2/3
500
If the base angles in an isosceles trapezoid are each 84 degrees, find the sum of the interior angles of the polygon, in degrees.
96 degrees
500
Factor and state all restrictions:
-2/(4t+1)(3t-1)
restrictions: -1/4, -5, 1/3
500
A restaurant charges $15 for each appetizer dish, $27 for each main course dish, and $6 for each dessert. In a night they sold 300 dishes and made $3000. If they sold the same amount of appetizers and mains, then how many desserts did they sell?
6
500
1. px+(9-q)y=10
2. x(3p+1)-(q-6)y=-21.
Find the values for p and q if the solution to the system is (-2,1).
p=6.5 and q=-14
500
One third of Grade 8 students went to a concert. 4 teachers went too. There were 41 people on the bus including the driver. How many Grade 8 students were there?
108 students (x/3 + 5 = 41)