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Algebra 1 Pre AP
Review for Test 2
Name: _________________________ Period: _____
Simplify.


1.
12  8  9  13 3  5   4   12  3  3
2.
10 62  52  42  9 
3.
2  3x  1 
4.
21
3
 n 
34
5
3
24  16 x 
4
Solve, if possible.
5.
m m  18

4
10
6.
x  8 2  7x

4
5
7.
3x  3  2x  5x  1  14
8.
2
 m  7  11
3
9.
 20 
10.
n  3n  4  6
11.
1
1
23 x  2   2 x  8 x  
4
4
12.

13.
3
1 3
3
x  x
x
5
4 4
20
14.
2
3 3
a  a
3
4 4
  y  8
4
4
6 x  2  10
3
Solve the following equations for y. (More practice on WS 3.8)
15.
3
y  4x  3  2 y
5
16.
 2x  2  5 y  1
Solve the formula for the indicated variable.
17. Solve for d1: A 
1
d1 d 2
2
18. Solve for b1: A 
1
(b1  b2 )h
2
19. Solve for b: P = 2b + 2s
Write an equation and solve.
20. An equilateral triangle has a side length of 6 more than x. A square has a side length of 3 less than twice x. If the
perimeters are the same, solve for x.
21. The length of a rectangle is 2 cm less than 7 times the width. The perimeter is 15 times the width. What are the
dimensions of the rectangle? How many cm is the perimeter?
22. Two more than three times a number is the same as two times the difference of six and a number.
23. The sum of three numbers is 85. The second number is 8 times the first, while the third number is 15 more than
the first. Find the numbers.
24. Cycle Paths, Inc. makes bicycles, tricycles, and unicycles. Last week they made 100 more bicycles than unicycles,
and 3 times as many tricycles as unicycles. If they made 60 more bicycles than tricycles, how many of each cycle did
they make?
25. An apple has 40 fewer calories than twice a banana. If 8 bananas have the same number of calories as 12 apples,
how many calories are in a banana?
Answers:
1.
-55
2.
130
3.
1
2
n
6
5
4.
9 x  17
5.
-12
6.
16
11
7.
All Reals
8.
27
9.
88
10.
1
11.

12.
11
12
13.
No solution
14.
-9
15.
y
16.
y
17.
2A
 d1
d2
18.
2A
 b2  b1
h
20.
6
21.
4cm, 26cm
22.
2
23.
7, 22, 56
24.
20 unicycles, 60 tricycles, 120 bicycles
25.
30 calories
1
3
20 x  15
13
60cm
 2x  3
5
19.
b
p  2S
2