Algebra 1 EOC Review #1

Multi-Step Equations

100

-6n-2n=-16

n = 2

200

-6(3+2p)-2=-68

p = 4

300

-31-3k=2(4+5k)

k = -3

400

-3(4x+9)+3=4(6x+3)

x = -1

500

-5/3m-1/3m=-22/5

m = 11/5

Combining Like Terms

100

6n+9-6

6n + 3

200

4(n-2)

4n - 8

300

3(7x+10)

21x + 30

400

7a(-9a+10)-7a^2

-70a^2+70a

500

-7(n-7)-2(1-n)

-5n+47

Systems of Equations

100

Scott spent $59 on 2 daylillies and 7 bunches of grass. Jennifer spent $168 on 14 daylillies and 14 bunches of grass. Write the system of equations for Scott and Jennifer. 

2D + 7G = 59

14D + 14G = 168

200

On the first day of ticket sales the school sold 1 adult ticket and 7 student tickets for a total of $42. On the second day the school sold 6 adult tickets and 14 student tickets for $112. Write the system of equations for these two days. 

A + 7S = 42

6A + 14S = 112

300

John sold 1 blueberry pie and 10 apple pies for a total of $206. Steve sold 2 blueberry pies and 1 apple pie for a total of $51. Write the equations for John and Steve. 

B + 10A = 206

2B + A = 51

400

John sold 1 blueberry pie and 10 apple pies for a total of $206. Steve sold 2 blueberry pies and 1 apple pie for a total of $51. How much was each pie?

Blueberry = $16

Apple = $19

500

On the first day of ticket sales the school sold 1 adult ticket and 7 student tickets for a total of $42. On the second day the school sold 6 adult tickets and 14 student tickets for $112. How much was each ticket?

Adult = $7

Student = $5

Linear Inequalities

100

5n-7n> -6

n < 3

200

144 < -3(1+7r)

r < -7

300

8x+37 > 3(8+7x)

x < 1

400

8(1+5v)-(1+2v) > -69

v > -2

500

6(m-3)+2(1+m)<9m-6

m > -10

Linear Equations

100

x+3y=18

y=-1/3x+6

200

x-2y=12

y=1/2x-6

300

Find the equation of a line that goes through the following points:

(-4, 4)

(0, -1)

y=-5/4x-1

400

Find the equation of a line that goes through the point (0, -2) and has a slope of 

1/3

y=1/3x-2

500

Find the equation of a line that goes through the point (2, 1) and is parallel to 

y=5/2x-2

y=5/2x-4