Solving and Factoring
Find the value of 'x':
4x+2-(3+3x)=7
x=8
Simplify:
(2x+8y+3)+(7x-y+2)
9x+7y+5
What does the 'C' value tell you in standard form?
The y-intercept
Are "Zeros" x or y values
x values
Dimitri has a combination of 30 nickels and dimes for a total of $2.10.
Write a system of equations to determine the number of each type of coin Dimitri has.
x+y=30
.05x+.1y=2.10
Factor:
x2+x-12
Simplify:
(3y-5)(3y+5)
9y2-25
Is this parabola a maximum or minimum?
y=x2
minimum
What is the solution of the system? (DESMOS allowed)
y=4x+1
y=3x+5
(4,17)
Ellie is having a pool party. She has 10 items for the party, towels and beach balls. Towels are $3 and beach balls are $4. She spends a total of $34. How many of each item does she have?
4 beach balls
6 towels
Find the value of 'x':
3/4(8x-6)-2=1/2-x
x=1
Simplify:
(-2x-3)-(3x2-8x+9)
-3x2+6x-12
How do you find the "x" value of a parabola in standard form?
-b/2(a)
(opposite of "b" over 2 times "a")
Find all the Solutions:
2(x+2)2+4=0
No Real Roots
Ten granola bars and twelve bottles of water cost $23. Five granola bars and four bottles of water cost $10. How much do one granola bar and one bottle of water cost?
$2.15
Factor:
10y2+54y-36
2(y+6)(5y-3)
Simplify:
(3x4y2)3
27x12y6
Is this parabola a maximum or minimum?
y=-4x2+3x-1
Maximum
Find all the Solutions:
4x2=0
0
A toad hops off of a rock that is 2 feet tall at an initial velocity of 10 ft / s. How far off the ground does the toad get before it starts to fall back to the ground?
3.56 ft
Factor:
5x2+27x+10
(5x+2)(x+5)
Simplify:
(7x2-3)(8x2-7x+5)
56x4-49x3+11x2+21x-15
What is the axis of symmetry for the equation below?
y=2x2+4x-3
(No DESMOS allowed)
x=-1
Find the Solutions:
7(x+6)2+0.05
No Real Roots
The equation represents a skateboarder. d=-3x2+16 models the distance. After how many seconds is the skateboarder 8 ft from the bottom of the hill?
2.6 seconds