Algebra 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

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

no solution

500

−1−(6x+3) = −2(8x−3)+1

x = 1.1

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 + 5x or x(2+5x)

400

factor 2x² -11x -21

(2x + 3) ( x -7)

500

What is volume of a rectangular prism with a length of 2x+5, a width of 3x and a height of 4x - 1.

24x³ - 66 x² - 15x  or   3x(2x+5)(4x-1)

Word Problems

100

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

200

Find 2 integers that have a sum of 48 and a difference of 14.

31 and 17

300

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

400

Fireworks are fired from the roof of a building. The equation h = -16t² + 84t + 100 models the height, h feet, of the fireworks at any given time, t seconds. 

How high were the fireworks 2 seconds after they left the roof?

204 feet

500

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

Mixed Review

100

find a value of x and y if

-23x - 3(-y - 57)= 4186

x = -27 y =-2

200

If you are buying an item at a store for a price of $22, and there is a 8.1% tax added on top, what would be the total amount due at the register, to the nearest cent?

$23.78

300

2x + 3 < -5x -4

x < -1

400

Create a boxplot for the data set.

6,6,6,10,11,11,12,12,14,15,15,16,16

What percentage of the data is less than or equal to 12?

50%

500

A group of friends wants to go to the amusement park. They have no more than $65 to spend on parking and admission. Parking is $9.75, and tickets cost $16.25 per person, including tax. 

Write and solve an inequality that can be used to determine p, the number of people who can go to the amusement park.

16.25p + 9.75 ≤ 65

p ≤ 3.4