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# Mathematics Final Exam with Solutions

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1. Solve the linear equation 1 10 5 1 a) c) 2. 3. 4. 3 1._____ 20 3 b) 17 d) 1 Decide whether the equation is an identity, a conditional equation, or a contradiction. 2 3 4 6 5 a) identity b) conditional equation c) contradiction d) none of these The formula for the perimeter of a rectangle is given by 2 2 , where is the length and is the width. Assume the perimeter of a rectangular plot of land is 480 ft. The length is twice the width. Find the length of the rectangular plot of land. a) 80 ft b) 120 ft c) 160 ft d) 240 ft A car dealership uses the linear model 1100 25000 to predict the depreciation of car values as time progresses. If is how old the vehicle is in years and is the current value of the vehicle, what will the value of the vehicle be 5 years after purchase? a) \$18,400 b) \$19,500 c) \$22,700 d) \$23,900 2._____ 3._____ 4._____ 5. 6. 7. 8. 9. Find the following sum. 7 3 5._____ 2 5 2 3 a) 20 14 32 b) 19 2 c) 28 14 28 d) 19 14 2 29 6._____ Find the following product. 1 3 2 5 a) 3 5 17 5 b) c) 3 7 13 5 d) 4 7 17 5 Factor out the greatest common factor from the following polynomial. 3 21 a) 3 c) 3 21 b) 3 21 7 d) 3 7 Factor the following polynomial by grouping. 15 6 10 4 8._____ a) 3 2 5 2 b) 3 2 5 2 c) 3 2 5 2 d) 3 2 5 2 Factor the following trinomial. 6 7._____ 9._____ 11 10 a) 3 2 2 5 b) c) 3 2 2 5 d) 3 2 2 5 6 11 10 10. 11. 12. Factor the following ...
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