Linear Equations
What's the slope of the line passing through (3,9) (5,4)
slope: -5/2
Write the following quadratic equation in standard form:
3+y= -3x+ 5x2 + 5 -6x
y= 5x2 - 9x +2
Simplify:
1/4+3/5
17/20
Write a word problem for the following:
A is 3 times the length of B
A=3B
Solve for x: 2x + 2 = 18
x = 8
Which of the following are linear equations? select all that apply:
a) y= 5
b) y = 3x+4
c) 3y+x = 5
d) y=x2 +3x+1
e) y = (x+1)(x-1)
a) y= 5
b) y = 3x+4
c) 3y+x = 5
What are the quadratic roots of this equation?
(2x+3)(x-5)=0
X = 5, -3/2
Write an equation to represent the following: Farmer Jose has three more than twice as many cats as Farmer Bob.
J=2B+3
solve for x (there should be two values):
|x+1| = 4
x= 3, -5
Find an equation for a line with slope =3 that passes through the equation (1,1)
y= 3x-2
Factor this equation:
X2 -9 = 0
simplify: 4h2k - 4hk2 + 2k2 + 7hk2 - 3h2k - 3hk2
2hk + 4k
Write a word problem for the following:
I have $100 in my bank account, and every day, I add $3 more.
S=3D +100
Solve for x:
xykj/3 = y2kj
x=3y
What is the slope of the following equation:
2x + 2y = 8
slope = -1
Find the quadratic roots of this equation:
0=5x2-4x-1
x = -0.2, 1
A rectangle is two times as wide as is it long.
What is its area in terms of its length, L?
A= 2L*L = 2L2
Solve for x:
xy+3x=5
x= 5/ (y+3)
Find the equation for a line that passes through (4,6) and (1,1)
y=5/3 x -2/3
Factor this equation:
4𝑥2−6𝑥−4
(2𝑥−4)(2𝑥+1)
Simplify: x2y/x +3xy -(x2)5 +y0 +x(1-y)
3xy - x10 + x +1
Farmer Jose’s yard is twice as long as it is wide. The area of the yard is 10 m^2.
What are the dimensions of his yard?
W(2W)=10
2W2 =10
W= sqrt(5)
L= 2(sqrt(5))
Solve for x:
3x2+5x+3= -5
𝑥= (−5 ± sqrt(37) )/6