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Solving for x

Chalkboard Activity

Please pick 5 questions from the list below. Solve those 5 problems, showing your work, and submit them to your Individual Forum.
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Problem Set 1 (choose one)
Solve for x or y -
1. 2x+10= -5+x 2. 13-3+9x=10x
3. 2(10-2x)= -3x 4. -18=5(10-x)+6x
5. x=2x-1 6. 5*4(x)-22= 10(1+2x)-x
7. y + (7/11) = 7/11 8. -3x-5+4x = 9
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Problem Set 2 (choose one)
Solve for x or y-
1. 8x=4 2. 12x=12
3. -7x=14 4. -18x= -24
5. x/5 = 3 6. .05y - 9 = 6
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Problem Set 3 (choose one)
Solve for x-
1. .5x + 10 - x = 30 2. (x/3) - (2/4) = 12
3. .025 - .025x + 1/2 = 4 4. 2( 2/8 - x) + 4x/5 = -5
5. (1/7)x+(1/5)x = 1
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Problem Set 4 (choose one)
Solve for x, y, or z. Then check your answer by substituting the value back into the original equation -
1. (2x-30)*.75 = 12-.25x 2. -5x+12 = 2x(12-2)-12
3. 11x -22 = 11 - 11x(1)(-1)(-1) 4. 0.1 (x-10) + 5 = .25x + 2
5. 3(y+3) = -2(2y-1)
6. (5z-1) / 7 - ( 3z - 2 ) / 5 = 1
7. ( 3z+4) / 3 + (z-2) / 15 = (z-2) / 5 - 1 <--- who dares take this problem on? I dare you!
8. 15.2 - 3.4x = 9.76

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Problem Set 5 (choose one)
Solve for x, y, or z.
1. 14 > 3x+x - 2 2. 22 + 4x < 2
3. -8x > 18+x 4. 2(x+2x+3)-2 NOT = 12-4x
5. 7 - 2 (y-4) < 5 ( 1 - 2y)
6. (x/4) - 3/8 < 2
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Problem Set 6 (choose one)
1. The sum of four and twice some number is 36. Find the number
2. Twice the sum of four and some number is 36. Find the number.
3. After a 20% discount, a VCR cost $320. What was the original price of the VCR?
4. After being reduced by three-fifths of its original price, a sofa sold for $426. What was the sofa's price before the reduction?
5. Which English statement given below is correctly translated into an algebraic equation?
a. Ten pounds less than Bill's weight (x) equals 160 pounds: 10-x = 160
b. Four more than five times a number (x) is one less than six times that number: 5x+4 = 1 - 6x
c. Seven is three more than some number (x): 7 + 3 = x
d. None of the above

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Problem Set 7 (choose one)
1. The product of 7, and a number decreased by 11, is 588. Find the number.
2. If you have $55.20 to spend for dinner and plan to leave a 15% tip, what is the maximum-priced dinner you can purchase?
3. The average height for men is 34 inches plus half of their father's height in inches. What is the approximate height of a father whose son is 5 feet, 10 inches tall.
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Problem Set 8 (choose one)
1. Find the pattern by filling in the numbers in the sequence: 2, 8, 14, 20, ?, ?, ?
2. Given: My number is 8. Your number is 10. Fred's number is there greater than mine.
Can we say that Fred's number is 1 less than yours?

3. Write a word problem associated with this situation. Sample: Let x = a number: 4x + 3 = 23. Solution: When four times some number is increased by three, the sum is 23. Find the number.

Let x = a number: 4(x-5) = 24 <--- Write the word problem
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Problem Set 9 (choose one)
1. 56/y = 8/7
2. Find the unit price for each size of the given product. Then find the size that gives the best buy based on the lowest unit price.
Cereal: 10-ounce size = $1.85, 16-ounce size = $2.78

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Problem Set 10 (choose one)
1. Use the information given to find the measure of the angle described.
The angle's measure is 78 degrees less than that of its complement
2. The length of a rectangle is 3 meters longer than its width. If the perimeter is 22 meters, what are the rectangles dimensions?

3. A tree casts a shadow 12 feet long. At the same time, a vertical rod 8 feet high casts a shadow of 6 feet long. How tall is the tree?

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Solution Preview

Here are the ones I chose, solved with complete work shown. The doc is attached. Please let me know if there are any issues!

Chalkboard Activity
 
Please pick 5 questions from the list below.  Solve those 5 problems, showing your work, and submit them to your Individual Forum.

Problem Set 1 (choose one)
Solve for x or y - 
    1.    2x+10= -5+x                        2. 13-3+9x=10x
    3.    2(10-2x)= -3x                       4.  -18=5(10-x)+6x
    5.    x=2x-1                                6.  5*4(x)-22= 10(1+2x)-x
    7.    y + (7/11) = 7/11                  8.  -3x-5+4x = 9

1. 2x+10=-5+x
2x-x+10=-5+x-x
x+10=-5
-10 from each side
x=-15

Problem Set 2 (choose one)
Solve for x or y-
    1.    8x=4                                    2.    12x=12
    3.    -7x=14                                 4.    -18x= -24
    5.    x/5 = 3                                 6.    .05y - 9 = 6
1. 8x=4 (divide both sides by 8)
x=4/8 (reduce the fraction)
x=1/2

Problem Set 3 (choose one)
Solve for x-
    1.    .5x + 10 - x = 30                   2.    (x/3) - (2/4) = 12
    3.    .025 - .025x + 1/2 = 4            4.    2( 2/8 - x) + 4x/5 = -5
    5.    (1/7)x+(1/5)x = 1

1. 0.5x+10-x=30 (simplify what we can by combining like terms)
10-0.5x=30 (subtract ten from both sides)
-0.5x=20 (divide by -0.5)
x=-40

Problem Set 4 (choose ...

Solution Summary

In this solution several algebra problems are presented, finding the values for different variables, with thorough explanations and all work shown. Ten problems are worked covering simple variables, word problems, and percentages.

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