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Equations & Inequalities
Linear Equations
Polynomials
Potluck
100
3x - 15 = -21
-2
100
What is the slope of 2x + 3y = 6
-2/3
100

factor x2 +10x + 16

(x + 8)(x + 2)

100

The lengths of the legs of a triangle are 5 and 8.  What is the length of the hypotenuse?

9.4

200
-4( 2 - x) = 24
x = 8
200
Write an equation parallel to y=3/4 x -3 and contains the point ( 0,5)
y = 3/4 x + 5
200

factor x2 - 49

(x + 7)(x - 7)

200
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
300
4x + 3( x-2) = 5x - 20
x = 7
300
What is slope of equation perpendicular to 2x -5y = 6
-5/2
300

Find the area of a rectangle if the length is 2 more than 5 times the width.

5x2 + 5 x

300
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
400
2x + 3 < -5x -4
x < -1
400
Which is an equation of the line containing the points (-1,5) and (3,9)?
y = x + 6
400

factor 2x2 -11x -21

(2x + 3) ( x -7)

400
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
500
Find 3 consecutive integers whose sum is 48.
15,16,17
500
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 - 400 x
500

 Factor: 3n² - 15n + 18

3(n - 3)(n - 2)

500

The relationship between hours of sleep (x) and test score (y) can be modeled by the line y = 5x + 55.  What does the slope mean in context of the problem?

For every additional hour of sleep someone gets, their test score is predicted to increase by 5 points.