Multiply & Factor Polynomials using generic rectangle

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Worksheet AA1-0: Basic Equations

Copy each equation neatly into your notebook and solve. Show your work. Check your

1)    5x  2  x  14                                 2)    3x  10  x  10

3)    6x  4x  2  15                                 4)    6x  3x  2  10

2                                                      3
5)      x  6  12                                     6)      x  2  7
3                                                      4

7)    2( x  2)  3( x  5)                            8)    3(m  2)  2(m  7)

9) 3(2 x  2)  2( x  7)  x  3                      10) 2( x  3)  5( x  2)   x  10

11) 4  6( w  2)  10                                 12) 6  2( x  3)  12

13) 3(2 x  7)  5x  17  x                           14)     x 2  1  50

Write an equation to solve each problem. Be sure to state what x represents.

15) A box of fruit has four more apples than oranges. Together there are 52 pieces of fruit. How
many of each type of fruit are there?

16) Tom and Claire are sharing the driving on a 520 mile trip. If Tom drives 60 miles more than
Claire, how far did each of them drive?

17) Amy cut a string that was originally 126 cm long into two pieces so that one piece is twice as
long as the other. How long is each piece?

18) The perimeter of a rectangle is 100 feet. If the length is five feet more than twice its width,
find the length and width.

1) 2                      2) 10
3) 1.7                    4) -4
5) 27                     6) -12
7) 19                     8) 4
9) 11/7                   10) 14/8
11) -3                    12) 0
13) no solution           14) 7 and -7

15)   24 oranges and 28 apples
16)   Claire drove 230 miles and Tom drove 290 miles
17)   42 cm and 84 cm
18)   width = 15 and length = 35

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