Systems
3x + 4y = 12
2x + 3y = 5
is equal to
6x + 8y = 24
-8x - 6y = -10
True or false
False
4, 8, 12, 16...
is what kind of a sequence.
Arithmetic
In y = mx +b
m is the
b is the (be very specific)
m is the slope
b is the y value in the y intercept
Evaluate in standard form:
2(4x2 - 3) + 5(1 - 3x2)
-7x2 - 1
Evaluate 18 - 4[3 + 6(-5)]
126
Graphing, Elimination, Substitiution
Using the following sequence. What is a1
a1
a2 36
a3
a4
a5 72
24
Ms. Dodson's favorite linear equation is?
Why?
POINT SLOPE!!!!!
It is the easiest to write
(I have been telling you guys this all year)!!!
Evaluate in standard form:
7(b2 - b - 5) - 4(2b2 - 5b - 4)
-b2 + 13b -19
{-3, -2, -1, 0, 1, 2, 3,}
Is an example of what number set? and why?
Integers
Integers are only the negative and positive numbers you see on a number line. Does not include the numbers in-between.
y = -3x
2x - y = 15
The solution is?
(3, -9)
In a sequence, the first term is 4 and the common difference is 3. The 5th term of this sequence is?
16
(1, 10) and (2,14)
The linear equation for these points in point slope form is:
y - 10 = 4(x-1)
or
y - 14 = 4(x - 2)
Find the sum of 3a2 + 12a - 5 and -6a2 - 2a + 13 in standard form
-3a2 + 10a + 8
Translate to math:
Three less than half a number.
1/2x - 3
5y + 2x = 10
3y - 8x = 52
Solve for x and y
x = -5
y = 4
What are the first 5 terms of the following formula
an = 3n + 16
19, 22, 25, 28, 31
Translate the point slope formula to slope intercept form.
y + 8 = -5(x - 1)
y = -5x - 3
Find the difference of 3d2 - 10 and 8d2 + 5d - 2 in standard form
-5d2 - 5d - 8
A = h(b1 + b2)/2
Solve for h
h = 2A/(b1 + b2)
Betty has some dimes and quarters. She has a total of $1.70. and 11 coins
Write a system of equations to solve this problem
q + d = 11
0.25q + 0.10d = 1.70
Last summer, the amount of minutes Bethany read increased each week at a constant rate. In week 3 she read for 25 minutes and in week 6 she read for 43 minutes. If the pattern continued, for how many minutes did Bethany read in week 12?
79 minutes
Which point is on the line of the linear equation in point-slope form below?
y - 10 = 2/5(x + 15)
(16, 0)
(15, -10)
(12, -20)
(5, 18)
(5, 18)
Subtract 5b2 + 3b - 11 from 4b2 + 8b - 6
give the answer in standard form
-b2 + 5b +5
Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50. What is the cost of one slice of mushroom pizza?
$2.00 per slice of mushroom pizza