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Algebra II
1.2 – 1.4, 1.6 Worksheet
Show all work for full credit!
Date ______________________Hour ____
1) Evaluate the expression: (No calculator.)
a)
 62
e)
20  2 32  1
b)  2

4

2) Evaluate the expression for the given value of
a)
 3x  4x
2
when
x  2
c)
12  5 9  7 
f)
7  9 2  2 3  10  2

d)
8  53  40  2 4  6


x . (No calculator.)
2
b) 18  5 x   x  2 when x   4
3) You purchase 12 packages of wrapping paper. Large packages cost $7 and small packages cost $4.50.
a) Write and simplify an expression that represents the total cost if x of the 12 packages are large packages.
b) Find the total cost if 8 of the 12 packages are large packages.
4) Solve the equation. (No calculator.)
a)
5x  3 8
b)
2
3
x  3  13


d)

c) 2(x  4)  2x  8
2(3x 1)  3(x  2)
e) 3(4x  2)  2(6x  3)  4
f)
2
3
x 85  x  12

5) The perimeter of a rectangular patio is 246 feet. The width of the patio is
patio is 7 n feet. Find the dimensions of the patio.
n  3 feet and the length of the
6) It takes you 3 hours to mow a lawn and it takes your sister 2 hours to mow a lawn. How long does it take the two of
you to mow 5 lawns if you work together?
a) Write an equation to represent this situation.
b) Solve the equation and answer the question.
7) Membership to a DVD club costs $4. Members can rent a DVD for $.99 per day.
a) Write an equation for the cost C of joining the club and renting a movie for
n days.
b) If a customer’s bill came to $11.92 after renting one movie, how many days did they rent the movie?
8) Solve the following for y :
b) 6 y  xy  10
a) 5x  3y  12

9) Solve the equation for the indicated variable.
a) Solve for R :
W   m R  p
b) Solve for r : V 
 2 rh
3
10) Your school band needs to buy new recording equipment. The equipment will cost $3000. The band has collected
$1200 in previous fundraisers. If the band sells sandwiches at $5 each, how many sandwiches will they need to sell to
aise the remaining funds?
a) Write an equation for the situation.
b) Solve the equation and answer the question.
11) Solve each inequality. (No calculator.)
a)
2x  3  5
b)
1
2
x  15
c)  5x  2   4 x  8

12) Solve and graph each compound inequality. (No calculator.)
a)  6  3x  2  14
b)
2x  5  11
or 2 x  4   2
13) You have $18 to spend at the movies. You spend $7 for admission. You want to buy drinks that cost
a) Write an inequality describing the possible numbers of soft drinks that you can buy.
b) Solve the inequality.
$2.50
each.