Quadratics
Pythagorean theorem
Exponent Rules
Systems
Honors
100
x2-3x=18
x=6, -3
100
What is the Pythagorean formula?
a2+b2=c2
100
3x6 ∙ 2xy4 ∙ 4x3y is equivalent to:
24x10y5
100
Use substitution to solve.
3y + 5x; y = 2x
11x
100
Does the parabola open up or down?
y = -2x2 + 3
The parabola opens down.
200
5x2=14x-8
x=4/5, 2
200
A shipping dock has a mobile ramp that is used to help load and unload cargo from trucks. The ramp is 125 inches long and has a base that is 120 inches long. What is the height h of the ramp?
h2 + 1202 = 1252
h2 =1225
h =35
The height is 35 inches.
200
What is equivalent to (p3 x q4)5?
p15 x q20
200
Solve using substitution:
y = 2x – 3
y=-3x+5
(1 3/5 , 1/5)
200
Find the roots (zeros) of the equation,
y=x2_5x+4
(4,0) and (1,0)
300
m2+2m-3=0
m=-3, 1
300
A rectangular shaped yard is 20 feet wide by 45 feet long. How long is the diagonal of the yard, to the nearest tenth of a foot?
hypotenuse = about 49.2 feet
300
Simplify k2(k2)3
k8
300
y=2x
3x+y=5
Solution: (1, 2)
300
Find the range of the function
Range: 
400
(x+6)(x-3)=10
x=-7,4
400
How high up on the wall will a 20-foot ladder touch if the foot of the ladder is placed 5 feet from the wall?
About 19.4 feet
400
Draw a diagram that visually models the expression 7y(8x + y). then simplify.
56xy+7y2
400
x+4y= 16
3x+4y= 8
Solution: (-4, 5)
400
Find the distance between (5,0) and (8,4).
Solution: 5
500
Use the quadratic formula to solve:
4n2+7n=15
x=-3, 5/4
500
1. The legs of a right triangle measure 21 meters and 28 meters.
a) Sketch a picture of this triangle.
b) What is the exact length, in meters, of its hypotenuse?
212 + 282 = c2
c = 35
The hypotenuse is 35 meters long.
500
Simplify the expression 6y-5x2/ 9y3
2x2/ 3y8
500
Solve the system by using elimination.
2x+3y= 11
-2x+5y= 13
Solution: (1, 3)
500
Find the missing side, t=?
t=5