Show:
LINEAR EQUATIONS
EXPONENT PROPERTIES
INEQUALITIES
SYSTEMS
Quadratics and Exponential Equations
100
SLOPE OF ANY HORIZONTAL LINE
What is ZERO?
100
Simplify (4x)^0
What is 1?
100
3X - 7 > - 7
What is X > 0 ?
100
We can graph lines to find where they cross (which is the solution to the system). If we don't want to graph them, name two other methods we learned in class to determine the solution to a system of linear equations.
substitution, elimination
100
Factor this quadratic: 10x^2-5x-5
5(2x+1)(x-1)
200
write this equation in slope intercept form: 2x - 5y = 9
y = (2/5)x - 9/5
200
10^-2
What is 1/100 or 0.01 ?
200
-7X + 5 < - 9
What is X > 2 ?
200
How you can tell (by looking at the equations) that two lines are parallel?
What is the SLOPES are the SAME?
200
Where does this parabola cross the x axis? (x-9)(2x+8) = y
x= 9, x= -4
300
Slope of this line x=9
What is UNDEFINED?
300
Simplify (7ab)^2
What is 49(a^2)(b^2) ?
300
(X + 5) / 6 > - 4
What is X > - 29?
300
Solve the following system of equations: x + 2y = 6 3x + y = 8
x=2 y=2
300
There are 29 students in Mrs. Kasper's Algebra class. Her class size INCREASES by 10% every year. Write an exponential equation showing how many students "y" there are after "x" years.
y = 29(1+0.1)^x
400
a line has a slope of 2 and goes through the point (3,4). Write the point/slope form of the line.
y = 2 (x - 3) +4
400
Simplfy (5x^2)^3
What is 125x^6?
400
solve: lxl + 2 = 6
4, -4
400
solve: 2x + 6 = - 3y x = 11 + 2y
(3,-4)
400
Write the equation in vertex form (WITHOUT your calculator): 3x^2 + 6x -2 = y
3(x+1)^2 - 5 =y
500
Write the equation of a line which goes through the points (9,1) (5,9)
y = -2x +19
500
(4x^5)(3x^7)
What is 12x^12?
500
solve: 9| X - 3|-8 > 1
What is X > 4 or X < 2 ?
500
Mrs. Kasper loves two kinds of candy: Snickers and Reese's. A student buys Mrs. Kasper 10 total pieces of candy in an attempt to get a better grade. Mrs. Kasper thanks her, but doesn't change the grade. The student is disappointed because she spent $3 each for the Snickers and $1 each for the Reese's for a total of $24. How many of each type of candy did she buy?
Reese's = 3 Snickers = 7 And never try to bribe a teacher !! :-)
500
A ball is thrown up in the air and it's height is shown by the following equation (in meters). What is the maximum height of the ball? (You may use your calculator) -10x^2+4x+3
3.4 meters