Linear Equations
Solve the following:
3x +5 = 18
x = 5
What is the name of the graph of a quadratic equation?
Parabola
By finding the points of intersection.
Subtract
What is the first step to solving this equation?
30 = 2(x-1)
Distribution of the 2
Write an equation in slope intercept form with a slope of 2 and a y-intercept of (0,3).
y = 2x + 3
Solve the following quadratic:
x2 +2x - 15=0
x = 3, -5
What does it mean to have no solution in a system?
The graphs never cross.
Simplify the following expression:
(x2)4
x8
What is the first step in simplifying the following expression?
2(1-3) + 4(4 + 2)2
Subtract 1-3
or
Add 4 + 2
Write the following equation in standard form:
y - 2 = 2(x+1)
-2x + y = 4
Factor the following trinomial:
2x2 - 5x - 12
(2x + 3)(x - 4)
Solve the following system of equations:
x + y = -4
-x + 2y = 13
(-7, 3)
Simplify the following expression
x6 * 2x3 * (2x5)2
8x19
Factor the following expression:
36x2 - 16
(6x - 4)(6x + 4)
What is the slope of the following equation:
6x + 3y = 24
slope = 2
Solve the following quadratic equation:
3x2 - 4x - 7
x = -1, 7/3
x - 3y = 12
x + 5y = 10
(45/4, -1/4) or (11.25, -.25)
Simplify the following:
(2x2 * 15x10 + 3y)0
1
The senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
V = 8, B = 22
What would be the slope of a line parallel to the given line:
y = 1/2x + 6
slope = 1/2
A rectangle has a width of (w) and the length is three more than the width. If the area of the rectangle is 40 inches squared, what are the dimensions of the rectangle?
w = 5
L = 8
At Beans & Bagels, a bagel costs $1 more than a cup of coffee. If 4 cups of coffee and 6 bagels cost $31, write the following systems of equations that can be used to determine the price of a bagel, b, and the price of a cup of coffee, c ?
c+1 = b
6b+4c =31
Suppose that a stock’s price is rising at the rate of 7% per year, and that it continues to increase at this rate. If the value of one share of this stock is $43 now, find the value of one share of this stock three years from now.
Hint( Use y = abt)
$52.68
What is the mean, median, mode, and range of the following data set?
22, 25, 18, 19, 10, 26, 32, 45, 17
Mean: 23.78
Median: 22
Mode: None
Range:35