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Algebra 2 Miscellaneous Review

Total questions: 15

Worksheet time: 37mins

Name
Class
Date
1.

Write an equation of a line that has the given properties.


slope: 2, y-intercept: -3

a)

y=-3x+2

b)

y=2x+3

c)

y=2x-3

d)

y=2x+3

2.

Write an equation of a line that has the given properties.


slope: -5 passes through (1, 2)

a)

y=-5x+2

b)

y-1=-5(x-2)

c)

y-2=-5(x-1)

d)

y=-5x+1

3.

Write an equation of a line that has the given properties.


Passes through (0, -2) and (-6, -6)

a)

y=2/3x+2

b)

y=-6x-2

c)

y=-2/3x+2

d)

y=2/3x-2

4.

Write an equation of a line that has the given properties.


Parallel to y=x+2, passes through (3, 5).

a)

y=x+8

b)

y=-x-8

c)

y=x+2

d)

y=-x-2

5.

Expand the expression. Simplify.

a)

log base 3 of 5 plus log base 3 of x

b)

log base 5 of 3 plus log base 5 of x

c)

log base 3 of 5 minus log base 3 of x

d)

log base 5 of 3 plus log base 3 of x

6.

Expand the expression

a)

ln6+2lnx-4lny

b)

ln6x2-lny4

c)

2ln6x-lny4

d)

ln6x2-4lny

7.

Expand the expression.

a)

log3+4logx

b)

log3+logx4

c)

log3-logx4

d)

log3-4logx

8.

Condense the expression.

a)

log base seven of four over ten

b)

log base 4 of ten over seven

c)

log base 4 of seven over ten

d)

log base 4 of seventy

9.

Condense the expression.

a)

log(x5/y2)

b)

log(xy)10

c)

10logxy

d)

logx5y2

10.
-4x-2y=-12
4x+8y=-24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
11.
4x+8y=20
-4x+2y=-30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
12.
Solve:
y = 7x + 9
2y + 2x = -18
a)
(5, 0)
b)
(9, 18)
c)
(-2, -5)
d)
(1, 16)
13.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450
a)
45 minutes
b)
90 minutes
2x + 4y = 315
c)
60 minutes
3x + 4y = 450
d)
30 minutes
14.
Determine which ordered triple is a solution of the systems of equations?
2x+y=0
x+3y-z=-11
7x+5y+4z=21
a)
(0,0,11)
b)
(1,-2,6)
c)
(-1,2,-16
d)
(0,1,-14)
15.
Solve the system of equations.
x-3y=13
5x+6z=41
2x+4y-z=5
a)
(7,-2,1)
b)
(13,0,-4)
c)
(10,-1,11)
d)
(1,-4,6)