Equations
3x - 15 = -21
x = -2
What is the slope of
2x + 3y = 6
-2/3
What is the y-intercept of:
y = 35(1.09)x
35
factor x2 +10x + 16
(x + 8)(x + 2)
OR
(x + 2)(x + 8)
What type of equation is this?
y = 3x2 +4x - 12
quadratic
-4( 2 - x) = 24
x = 8
Write an equation parallel to y=3/4 x -3 and contains the point ( 0,5)
y = (3/4)x + 5
What is the growth factor of:
y = 3(1 + 0.4)x
1.4
OR
1 + 0.4
factor x2 - 49
(x + 7)(x - 7)
OR
(x - 7)(x + 7)
Find the midpoint of (4, -2) and (12, -6)
(8, -4)
4x + 3( x-2) = 5x - 20
x = 7
What is slope of equation perpendicular to 2x -5y = 6
-5/2
What is the percent rate of change:
y = 15(0.68)x
32%
or
0.32
Find the area of a rectangle if the length is 2 more than 5 times the width.
5x2 + 5x
find the distance between ( 5,2) and (-2,3)
7.07
2x + 3 < -5x -4
x < -1
Which is an equation of the line containing the points (-1,5) and (3,9)?
y = x + 6
Write an equation for the following scenario: You buy a car for $7,500 and it depreciates by 37% every year.
y = 7500(1 - 0.37)x
OR
y = 7500(0.63)x
Solve by factoring:
2x2 -11x -21
x = 7 and x = -3/2
Paco went to the movies. He spent a total of $50. He spent $10 on food and saw 8 movies. How much did each movie cost?
$5
Find 3 consecutive integers whose sum is 48.
15, 16, and 17
A business purchases a computer for $2000. The value of the computer depreciates $400 per year. Which linear equation gives the value y of the computer after x years?
y = 2000 - 400x
OR
y = -400x + 2000
You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. What is the value of the system after 3 years?
$546.56
An object is launched from a platform. Its height (in meters), seconds after the launch, is modeled by:
h(x) = -5x2 + 20x + 60
How many seconds after launch will the object land on the ground?
6 seconds
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 dog = $2.50
Soda = $1.50