Math 1 EOC Review

linear equations

100

Write the equation of this function:

x     y

1    -5

2    -2

3     1

4     4

y = 3x - 8

y = 3(x - 1) - 5

200

Describe the meaning of the slope: A study was done to see the relationship between the time it takes, x, to complete a college degree and the student loan debt incurred, y. The equation of the regression line was found to be y = 25142 + 14329x.

Each year, a student incurs $14,329 in debt.

300

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

-2/3

400

What is the 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

functions

100

Determine if this set of points is a function:

{(0, 3), (2, -1),  (-1, 3),  (1, 4)}

Yes it is a function

200

One spring day, Sophia noted the time of day and the temperature, in degrees Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 58° F. For the next 3 hours, the temperature rose 4° per hour. For the next 5 hours, it rose 1° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 2° per hour. The temperature then dropped steadily until the temperature was 67° at midnight. What is the RANGE of this function?

[58, 75]

300

f(x) = -2x + 4

g(x) = 4*2^x

What is f(3) + g(1)?

6

400

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

500

Write the equation for the following situation: Jocelyn earns a starting salary of $45000. Each year, she gets a 3.5% raise.

y = 45000*1.035^x

equations

100

3x - 15 = -21

-2

200

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

x = -7

300

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

400

June and Kevin own a camping supply store and put in an order for flashlights and sleeping bags. The number of flashlights ordered was five times the number of sleeping bags ordered. The flashlights cost $12 each and the sleeping bags cost $45 each. The total cost for the flashlights and sleeping bags was $1785. How many sleeping bags did they order?

17 sleeping bags

500

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

polynomials

100

Find the perimeter of a triangle if the three sides are 2x+7, 3x-1, and 4x-8.

9x-2

200

factor x² - 49

(x + 7)(x - 7)

300

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

5x² + 2x

400

Factor: 3n² -15n - 18

3(n - 2)(n - 3)

500

 Factor: 2x² - 11x - 21

(2x + 3)(x - 7)

random

100

2x + 3 < -5x -4

x < -1

200

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

300

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

7.07

400

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

-5/2

500

Who is the best math teacher you've had all year?

Mrs. Sandberg, duh.