Lines
What does the "b" represent in the linear equation y = mx + b?
The slope of the line
After graphing the line of an inequality, one side of the line is shaded in as the solution set. Which coordinate point is usually chosen to "plug-in" and figure out what to shade?
Origin or (0,0)
What is the formula for percent change?
(new - old) / old
or (new - original) / original
What is the sum of the angles that make up a straight line?
180 degrees
What is 4x2 - 9 in factored form?
(2x - 3)(2x + 3)
What is the equation for the standard form of a line?
ax + by = c
(3 + 4i)(3 - 4i) = ?
25
675 is what percent of 900?
75%
Two angles in a triangle measure 55 degrees and 75 degrees. What is the measure of the third angle?
50 degrees
What is the equation for arc length of a circle?
arc length = circumference * internal angle / 360
or circumference * internal angle / (2*pi)
7x + 14y = 19 & 5x + 12y = 15
What is the value of x + y?
x + y = 2
What is the maximum value of -10 - |x + 20|?
-10
John is looking for new running shoes. After a 20% discount, a 10% tax, and a 10% members discount, John had to pay $118.80. What is the original price of the shoes before the discounts and tax?
$150.00
The average of 5 numbers is 20. What sixth number should I add to get a new average of 25?
50
5x2 + 7y + z6 = ax2 + ay + by + zbc
What is the value of c?
c = 3
In a system of equations containing 2 lines with equal slope, how many solutions can exist?
0 or infinitely many
(5 + 2i) / -i = a + bi.
What is a + b?
3
Ryan studied a total of 64 hours for the SAT this summer (wow let's go Ryan). The summer lasted 8 weeks, during which he studied 4 days a week. On average, how many minutes did Ryan study on a day which he studied for the SAT?
120 minutes
Triangle ABC is similar to Triangle DEF. If AB = 12, BC = x, DE = x, and EF = 3, what is the value of x?
x = 6
A parabola with its vertex at (3, 6) passes through the point (-1, 38). What is the equation of the parabola in vertex form?
y = 2(x - 3)2 + 6
A line with a slope of -1/2 passes through the points (3,2) and (a,-2). What is a?
a = 11
In a system of linear inequalities, where is the solution set found?
There are 234 grams of sugar in 6 cans of coke. How many grams of sugar are there in 9 cans of coke?
351 grams of sugar
The average (or arithmetic mean) age of the people in the classroom is 16, and the median age is 15. What is a probable conclusion you can make regarding the outliers in this data set?
Some people are much older than the others. (There are outliers much larger than the others.)
The equation of a circle is (x - 3)2 + (y + 2)2 = 25. What is the center and radius of the circle?
center = (3, -2)
radius = 5