# Algebra - problems - page 107

1. Eqn
Solve equation with fractions: 2x/3-50=40+x/4
2. 1.5 divided
1.5 divided by 1 = w divided by 4
3. Former price
The price of an article is cut by 10℅, to restore it to the former value, by what percent the new price must be increased?
4. Wood dividing
Which equation calculates the number of 1/3-foot pieces that can be cut from a piece of wood that is 7 feet long?
5. Solve 3
Solve quadratic equation: (6n+1) (4n-1) = 3n2
6. On the 4
On the way to playing disc golf with his two boys, Mr. Smith purchases 3 muffins and 2 bottles of water, totaling \$9.75. The following week he only has Asher with him, so he purchases 2 muffins and 1 bottle of water totalling \$6.00. What is the cost of on
7. Home cleaning
Mr. Smith is cleaning up a big mess at home. In the closet, he finds a solution that is 5% bleach, and another stronger solution that is 20% bleach. For this particular job, he needs 600mL of 15% bleach. How much of each type (to the nearest mL) should he.
8. Midpoint 5
FM=3x-4, MG=5x-26, FG=? Point M is the midpoint of FG. Use the given information to find the missing measure or value.
9. Lee is
Lee is 8 years more than twice Park's age, 4 years ago, Lee was three times as old. How old was Lee 4 years ago?
10. Sum of dividend
If X is divided separately 2.63 and 1.40. And the results of the individual divisions are added to give a result less than X. What is X?
11. Three unknowns
Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0
12. Rectangular plot
The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the perimeter of the plot is 36m. Find the area of the diagonal of the plot.
13. Midpoint 6
FM=8a+1, FG=42, a=? Point M is the midpoint of FG. Find unknown a.
14. Far country
In a country far away, the value of 3 pesos is 12 centavos more than the value of 1 peso. How many centavos is 1 peso worth?
15. Find midpoint
FM=5y+13, MG=5-3y, FG=? M is the midpoint of FG. Use the given information to find the missing measure or value.
16. Pooja
Pooja and Deepa age is 4:5, 4 years back it was 8:11. What is the age of Pooja now?

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