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x+ 8x+ 8x+ x = 360
combine like terms
18x
18x/18 360/18 = 20
x = 20
8x = 8 x 20 = 160
A° = 20 B° = 160 C° = 160 , D = 20
x+ 4x + 4x + x = 360
10x
10x/10 360/10 = 36
4x = 4 x 36 = 144
A = 36 B = 144 C = 144 D = 36
length of the shorter piece plus the length of the longer piece equals
x + 2x+5 = 17
combine like terms
3x + 5 = 17
subtract five from both sides
3x + 5 - 5 = 17 - 5
divide both sides by three
3x = 12
x = 4
2x + 5 x = 4
2(4) + 5 = 13
13 feet long
NEW PROBLEM
x + 2x+3 = 12
combine like terms
3x+3 = 12
subtract three from both sides
3x + 3 -3 = 12 - 3
divide both sides by three
3x = 9
x = 3
2x + 3 = 3
9 feet long
Read and reread the problem. Since x equals the length of the first piece, " as long as the first piece" translates to what expression?
3 x
What expression does " times as long as the first piece" translate to?
4 x
The sum of the first piece, the second piece, and the third piece equals the total length of the board. Write the equation.
x+ 3x+ 4x = 48
Combine like terms
8x = 48
Divide both sides by eight
x = 6
length of first piece is 6 inches
length of the second piece is 18 inches (6 x 3)
length of the third piece is 24 inches (6 x 4)
2 x
4 x
x + 2x + 4x = 49
7x = 49
49/7
x = 7
length of the first piece is 7 inches
length of the second piece is 14 inches
length of the third piece is 28 inches
x+2x+1 = 16
3x + 1 = 16
3x = 15
x = 5
2(5) +1 = 11
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