Linear Equations & Slope
Find the slope of 2y=-16x+2
m=-8
12v2+18v
z-2 / z-5
z3
2x2-50
2(x-5)(x+5)
Solve these systems of equations using elimination
2x - y = -4
x + 3y = 5
x=-1
y=2
How can you find the slope using standard form?
Ax + By = C
m = -A/B
(6p+8)(5p-8)
30p2-8p-64
Simplify the expression by clearing the decimal
0.4x + 0.002y + 2z
400x + 2y + 2000z
x2-2x+1
(x-1)(x-1)
Solve using the substitution method
x - 2y = 8
x + y = 5
x = 6
y = -1
Write y-2=9(x-2) in standard form
y=9x-16
(7k-3)(k2-2k+7)
7k3 - 17k2 + 55k - 21
Simplify by clearing the fraction
(1/8)x + (1/2)y - (1/4)z +1
x + 4y - 2z + 8
2x2+5x+2
(2x+1)(x+2)
A product is marked down 15%. The sale price is $127.46. What was the original price?
$149.95
A line passes through the point (2, -2), and has a slope of 2
Find the x and y intercepts
x intercept = 3
y intercept = -6
SOLVE by factoring
3x2-12=0
x=-2
x=2
Multiply and write your answer in scientific notation
(3 × 108) (6.8 × 10−13)
2.04 × 10−4
2x3 + 6x2 + 3x + 9
(2x2+3)(x+3)
You make small wreaths and large wreaths to sell at a craft fair. Small wreaths sell for $8 and large wreaths sell for $12. You think you can sell 40 total and you want to make $400. How many of each type should you bring to the fair?
s=20
A line passes through the points (7,2) and (2,12)
Find the equation of the line in all three forms!
y = -2x + 16
y-2 = -2(x-7)
2x+y=16
SOLVE by factoring
3x2+4x-4=0
x=-2/3
x=2
Divide and write your answer in scientific notation
(5 × 10−3) / (2.4×10−5)
2.083 × 102
x3 - 2x2 + 5x - 10
(x - 2)(x2+5)
Solution A is 50% acid. Solution B is 60% acid. How much of each solution is needed to make 100L solution that is 51% acid.
B=10
A= 90