Equations
5x+7 = 2x + 10
x=1
(2x4)3
8x12
Factor using GCF
5a + 5b
5 (a + b)
y = (1/3)x - 9 Give the slope & y-intercept
slope 1/3
y-intercept -9
If the discriminant is zero what does that mean?
If the discriminant is negative what does that mean?
0 means only 1 answer
Negative means no real answers
9
Growth
9(y - 3) = 8y + 20
y = 47
(x4y2) / (xy2) This is division hint...
x3
What is the GCF
8x3y + 12xy
4xy
System of linear functions - State the solution
y = 2x + 5
y = 2x - 4
No solution
Parallel lines
2x2 + 8x - 10 How many solutions does this have? Hint: Use discriminant
2 solutions discriminant is positive
y = (0.45)x
What is the initial value? Is this growth or decay?
1
Decay
-2(a -3) = -a + 8
a = -2
8a3b(2ab5)
Factor
x2 + 9x + 14
(x+7)(x+2)
Solve the linear system
y = 3x
2y = -3x + 9
(1, 3)
Write the formula for the discriminant on your board
Teacher will verify it's correct
Given y = 3(2.2)x
Describe the transformation
y = -3(2.2)x + 6
Flip (Reflection)
Moved up 6
6+ k/4 = 14
k = 32
(4xy)2 (10xy) (2xy3)
320x4y6
Factor
y2 - 8y - 9
(y - 9)(y + 1)
Ms Conner orders pizza & the company charges $15 for a one time delivery fee and $12 per pizza. Write a linear function that represents this using f(c) and p.
f(c) = 12p + 15
Ms Kinney threw a water balloon off the staircase and it is represented by -16t2 + 3t + 12 = 0 At what height was she standing when she threw the ball?
12 feet (c value)
Ms Caitlyn has an account at the bank represented by y = 2000(1.04)x What amount did she initially invest in the bank? Is her money growing or decreasing?
$2000
Growing
1/2(10a) + 7 = 4a + 3
a = -4
20a4b4 / 5ab
Factor
3x2 - 11x - 4
(3x + 1)(x - 4)
Ms Frasqueri has $500 and spends $10 each day on starbucks. Write a linear function to represent this using f(c) and s
f(c) = 500 - 10c or f(c) = -10c + 500
Given y = x2 Describe the transformation
y = (x+1)2 - 5
Down 5
Left 1
Given y = 4(0.5)x Write the equation after a transformation of 3 units to the right.
y = 4(0.5)(x-3)