equations and inequalities
3x - 15 = -21
x= -2
What is the slope of 2x + 3y = 6
m = -2/3
Simplify 5x - 3y + 2X + 10y
7x + 7y
Find the midpoint between (3, 7) and (5, -3).
(4, 2)
Is the sequence arithmetic or geometric and how do you know? 3, 6, 9, 12, 15...
arithmetic, common difference is 3
What is the slope of an equation parallel to y=3/4 x -3?
m = 3/4
ab
Find the midpoint between (-9, 6) and 4, -5)
(-2.5, .5)
Is the sequence arithmetic or geometric and how do you know? 5, 10, 20, 40, ...
geometric, r = 2
-2x - 3(x - 1) < -7
x > 2
What is slope of equation perpendicular to y = -2x + 6
m = 1/2
Write an expression for the area of a rectangle if the length is 2 more than 5 times the width.
w(5w + 2)
Find the distance between ( 5,2) and (-2,3) to the nearest 10th place.
7.1
Is the sequence arithmetic or geometric and how do you know? 4, 13/3, 14/3, 5, 16/3...
arithmetic, common difference is 1/3
2x + 3 < -5x -4
x < -1
Which is the slope of the line containing the points (-1,5) and (3,9)?
m = 1
Simplify (5x^2 + 3x - 7) + (-8x^2 + 5x + 8)
-3x^2 +8x +1
Use the pythagorean theorem to find the hypotenuse in a right triangle with sides a=3 and b=4.
5
Write the explicit and recursive equations for a sequence with a common difference of -3 and a first term of 5.
explicit f(n) = 5 -3(n-1)
recursive f(n) = f(n-1) -3, f(1) = 5
4x + 3( x-2) = 5x - 20
x=-7
At a baseball game, Jose bought five hot dogs and three sodas for $17. At the same time, Allison bought two hot dogs and four sodas for $11. Find the cost of one hot dog and one soda.
hot dogs $2.50 soda $1.50
Write an expression for the volume of a figure with height "h", whose length and width are twice as large as the height.
h(2h)(2h)
A 25 ft ladder is leaning against a building and is 3 feet away from the building. How high is the ladder on the building?
24.8 ft
Write the explicit and recursive equations for a sequence with a common ratio of 4 and a first term 2.
explicit f(n) = 4 x 2^(n-1)
recursive f(n) = f(n-1) x 4, f(1)=2