How many solutions do these two equations have?
y=3x-1
y=5x-1
One solution
100
What is the name of this equation? x²+y²=r²
Equation of a circle
100
Classify the shape:
-Diagonals are equal in length
-Diagonals are perpendicular
Square
100
What is the first differences between 25 and 16
The first difference is 9
100
Is this equation a perfect square?
4x²+12x-9
Yes
200
2x+10y+4
4x+5y+9
Set up the equation in elimination format using either "x" or "y"
First Solution:
1. 4x+20y+8
2. 4x+5y+9
Second Solution:
1. 2x+10y+4
2. 8x+10y+18
200
Fill in the blank:
Slopes of 2 perpendicular line segments are _______ reciprocals
Negative
200
What is the name for a line that intersects two or more lines?
Transversal line
200
If a>0, the parabola opens _____, and has a _______.
up, minimum
200
Factor the following equation:
7x-35
7(x-5)
300
The number of calories in a piece of pie is 20 less than three time the number of calories in a scoop of ice cream. The pie and ice cream together have 500 calories.
Define the 2 variables
x=?
y=?
x= Number of calories in a piece of pie
y= Number of calories in a scoop of ice cream
300
What is the midpoint of A(-2,3) and B(3,1)?
The midpoint is (5,2)
300
What are the 3 conditions for congruence in congruent triangles?
SSS
SAS
AAS
300
Fill in the blanks:
To get to factored from standard form you have to ______. To get to vertex form from factored form you have to ______, then you have to ______________.
Factor, Expand then complete the square.
300
Expand using partial products:
(6m+1)(3m-2)
18m²-9m-2
400
Solve the equation (POI) using substitution or elimination:
1. 2x+5y=8
2. 5x-2y=20
The POI is (4,0)
400
Find the co-ordinates of the midpoint of the line segment with these end points:
(-1,-2) and (-7,10)
(-4,-4)
400
Solve for "t" to two decimal places.
ΔCAT, with c=5cm, a=6cm, and angle T=63°
t=5.81 cm
400
Find the vertex, axis of symmetry, and the direction of opening for the following equation:
y= (x-2)²+1
Vertex: (2,1)
Axis of symmetry: x=2
Direction of opening: Up
400
Solve for "x" when y=60
y=-6x²-6x+180
x=4 and x=-5
500
The sum of two numbers is the same as four times the smaller number. If twice the larger number is decreased by the smaller, the result is 30. Find the numbers within a minute.
The numbers are 18 and 6
500
Points (1,8) and Q(9,2) are end points of a diameter of a circle and R(8,9) is another point on the same circle.
Find the co-ordinates of the center of the circle.
(5,5)
500
Two airplanes leave the airport at the same time. One travels at 355km/h and the other at 450km/h. Two hours later, they're 800 kilometers apart. Find the angles between their courses. (Round to two decimal places)
The angle between their courses are 58.17°
500
A football is punted into the air. Its height "h", in meters, after "t" seconds is h=-4.9(t-2.4)²+29
What was the maximum height of the ball?
The maximum height was 29 meters.
500
A rectangle is 3 cm longer than it is wide. The diagonal is 15 cm. Find the dimensions of the rectangle.