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Algebra 116

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1. The perimeter of a rectangle is 126 m. The length is 6 m more than twice the width. Find the dimension.
a. What is the length ____ m?
b. What is the width ____ m?

2. Two angles are complementary. The sum of the measure of the first angle and half of the second angle is 72 degrees. Find the measures of the angles.
a. What is the measure of the smaller angle? ___degrees
b. What is the measure of the other angle? ___ degrees

3. A cellular phone company offers a contract for which the cost C, in dollars, of t minutes of telephoning is given by C=0.25(t+300)+70.95. Where it is assumed that minutes. What time will keep the cost between $112.70 and $148.20?
For the cost between $112.70 and $148.20 the telephoning minutes must be between ___ minutes and ___ minutes.

4. One can of juice drink is 20% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 15L that is 14% orange juice?
a. How many liters of the 20% orange juice should be in the mixture? ___L
b. How many liters of the 5% orange juice should be in the mixture? ___L

5. Use set builder notation to describe the complete solution.
a. 3[5m-(m+4)]>-4(m-6) Solution is {m/ ___ ___}
b. ¾(3x-1/2)-1/3<2/3 Solution is {x/x ___ ___}
6. Solve by using the substitution method.
9x +8y = -37
-9x +y =46 What is the solution system______?
7. Graph the inequality on a plane 5y – 6c > 30.
8. Solve the system of equation by graphing.
a. 3x - 9y =63 2x – 6y = -2 What is the solution system _____?
b. 4x – y = 11 4x + 5y = -31 What is the solution system ____?
9. Solve -5/4x > -1/8

10. Solve by using the elimination method.
a. 5x + 7y = 18 8x – 7y = -135 What is the solution system ____?
b. 5x + 6y = 4 10x + 12Y = 8 What is the solution system ____?

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