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Unit 1 Test (Alg 2)

Total questions: 25

Worksheet time: 1hrs 11mins

Name
Class
Date
1.

Graph the line with the given slope and y-intercept:

Slope = 2 , y-intercept = -5

a)
b)
c)
d)
2.

Solve the system of inequalities by graphing:


 yx+3y\le-x+3  
 y>2x2y>2x-2  

a)
b)
c)
d)
3.

Solve the systems using any method:

 11x+8y=14-11x+8y=14  
 11x+2y=13411x+2y=-134  

a)

(10, 12)

b)

(-10, -12)

c)

(-8, -9)

d)

(8, 9)

4.

Solve the system using any method:

 2x6y=42-2x-6y=42  
 7x+18y=165-7x+18y=-165  

a)

(-8, 3)

b)

(-7, 5)

c)

(7, -5)

d)

(3, -8)

5.

Solve the system using any method:

 6x4y=18-6x-4y=-18  
 7x4y=997x-4y=99  

a)

(-11, -10)

b)

(11, 10)

c)

(-9, 9)

d)

(9, -9)

6.

Solve:

 218.7=22.5(1p7)218.7=-22.5\left(1p-7\right)  

a)

-16.72

b)

2.72

c)

-10.03

d)

-2.72

7.

Solve:

 5d+10=2d25-5d+10=2d-25  

a)

5

b)

0

c)

10

d)

-5

8.

Solve:

 15(74a+51)=15(7a+456)15\left(-74a+51\right)=15\left(7a+456\right)  

a)

-5

b)

-2

c)

6

d)

5

9.

Write in slope-intercept form:
Goes through (3, 5), parallel to y=43x2y=-\frac{4}{3}x-2  

a)

 y=9x+43y=9x+\frac{4}{3}  

b)

 y=43x+9y=-\frac{4}{3}x+9  

c)

 y=43x9y=-\frac{4}{3}x-9  

d)

 y=34x+274y=\frac{3}{4}x+\frac{27}{4}  

10.

Write in slope-intercept form:
Through (-3, 3), perpendicular to  y=4x+4y=-4x+4  

a)

 y=9x+4y=9x+4  

b)

 y=4x+92y=-4x+\frac{9}{2}  

c)

 y=14x+154y=\frac{1}{4}x+\frac{15}{4}  

d)

 y=14x+154y=-\frac{1}{4}x+\frac{15}{4}  

11.

Match the graph and solution to the system of equations:

 y=6x+6y=-6x+6  
 y=3x3y=3x-3  

a)
b)
c)
d)
12.

Match the graph and solution to the system of equations:

 y=2x+2y=-2x+2  
 y=4x4y=4x-4  

a)
b)
c)
d)
13.

Graph the inequality:

 y2x+1y\le-2x+1  

a)
b)
c)
d)
14.

Graph the inequality:

 y>x1y>x-1  

a)
b)
c)
d)
15.

Solve the inequality:

 3h+9>243h+9>24  

a)

h > 5

b)

h > -1

c)

h < 5

d)

h > 15

16.

Solve the inequality:

 4a+17a>144a+1-7a>-14  

a)

a < 4

b)

a > -4

c)

a < 5

d)

a > 5

17.

Solve the inequality:

 6(6z+8)<12(3z4)-6\left(6z+8\right)<-12\left(3z-4\right)  

a)

No solution

b)

z > 17

c)

All Real Numbers

d)

z < 96

18.

Solve the inequality:

 b103\frac{b}{10}\ge-3  

a)

 b33b\ge-33  

b)

 b30b\ge-30  

c)

 b30b\ge30  

d)

 b7b\ge7  

19.

Solve the system of equations using any method:

 y=2x+16y=2x+16  
 2x7y=642x-7y=-64  

a)

(-4, 8)

b)

(8, -4)

c)

(-7, -11)

d)

(-1, 11)

20.

Graph the equation:  y=4x4y=4x-4  

a)
b)
c)
d)
21.

Graph the equation:  2x+4y=12x+4y=1  

a)
b)
c)
d)
22.

Solve the equation:

 x8=4\frac{x}{-8}=-4  

a)

-32

b)

4

c)

-12

d)

32

23.

Solve the equation:

 x8=9x-8=9  

a)

17

b)

18

c)

-17

d)

1

24.

Write an equation in slope intercept form of the line that goes through the pair of points: (8, -70) (-4, 26)

a)

y=8x6y=8x-6

b)

y=8x+25y=-8x+25

c)

y=8x6y=-8x-6

d)

y=8x+6y=-8x+6

25.

Write the slope intercept form of the line that contains the following: (-5, 3) m = -2

a)

y=2x+7y=-2x+7

b)

y=2x7y=2x-7

c)

y=2x13y=-2x-13

d)

y=2x7y=-2x-7