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Math 60 Foster Wkst #2: Review Ch 1 1. The following table shows the correlation between the weight of gold in grams and its value value in US dollars. Write a general equation modeling the data. Weight of gold, W, in Value of gold, V, in dollars grams Equation: 15 600 20 800 25 1000 30 1200 How much would 7 grams of gold be worth? If you were paid $4000, how many grams of gold did you have? 2. The given value in Japanese Yen, Y, corresponds to the value of United States dollars, D. Japanese Yen, Y United States dollars, D 50 .5 Equation: 150 1.5 200 2 400 4 If you have 375 yen, how many US dollars do you have? If you have 25 US dollars, how many Yen do you have? For each of the following match the phrase or sentence with the appropriate expression or equation from the column on the right 1 ∙𝑢∙𝑣 3. Twice the sum of two numbers A. 4. One less than twice a number is five B. 2𝑥 − 1 = 5 ____________ 5. Half the product of two numbers C. 𝑚 + 2 = 5 ____________ 6. Two more than a number is five D. 2(𝑐 + 𝑑) ____________ 2 ____________ 7. 3𝑚 + 𝑚 𝑛 + 4𝑛 8. (𝑥 + 𝑦)(𝑥 − 𝑦) # of terms _________ # of terms _________ Coefficients__________ Coefficients__________ Factors of middle term Factors ___________________ ___________________ Apply the distributive law to factor each of the following 9. 15𝑥 − 3 10. −15𝑥 − 25 11. 6𝑥 + 9 12. 8𝑚 − 4 11. 2𝑥 − 10𝑦 + 6 13. 15𝑥 − 5𝑦 + 25 Simplify if possible, then combine like terms. 14. −5𝑦 + 3 − (−2𝑦) − 11 15. 3𝑥 − 8𝑦 + (−6𝑦) − 4𝑥 16. 5(3𝑥 + 2) − 4 17. 7(3𝑎 + 2𝑏) − 5(4𝑎 − 2𝑏) Use the order of operations to simplify 7(4−8)+53 −7 18. 63 ÷ 36 − 6 19. 20. 3 − 2{5 − [2 + 3(−5)] − 50 ÷ 5} 21. 14 − 6 ∗ 2 + 3 22. 2[5 + 2(9 − 4)] 23. −22 + 4[16 ÷ (3 − 5)] −6