Math 1 EOC Review

equations

100

3x - 15 = -21

-2

200

-4( 2 - x) = 24

x = 8

300

4x + 3( x-2) = 5x - 20

x = -7

400

2x + 3 < -5x -4

x < -1

500

Find 3 consecutive integers whose sum is 48.

15,16,17

linear equations

100

What is the slope of 2x + 3y = 6

-2/3

200

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

y = 3/4 x + 5

300

What is slope of equation perpendicular to 2x -5y = 6

-5/2

400

Which is an equation of the line containing the points (-1,5) and (3,9)?

y = x + 6

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

polynomials

100

factor x² +10x + 16

(x + 8)(x + 2)

200

factor x² - 49

(x + 7)(x - 7)

300

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

5x² + 2 x

400

factor 2x² -11x -21

(2x + 3) ( x -7)

500

 Factor: 3n² - 15n + 18

3(n - 3)(n - 2)

potluck 1

100

Solve by substitution:

y = 6x - 11

-2x - 3y = -7

(2, 1)

200

What is the midpoint between (3, 2) and (-5, 0)

(-1, 1)

300

find the distance between ( 5,2) and (-2,3)

5 times the square root of 2

400

solve:  x² - 9x + 14 = 0

{ 2, 7 } 

500

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

potluck 2

100

solve x+5/12 = x-2/8

16

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

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

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 x and y

-5x - 8y = 17

2x - 7y = -17

x = -5 y =1