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Name _______________________________________ Date __________________ Class __________________ HW 3.7 Practice A Write all work on lined paper. Solving for a Variable Do not put work on this handout. Answer each of the following. 1. The formula K C 273 is used to convert temperatures from degrees Celsius to Kelvin. Solve this formula for C. 1 relates the period of f a sound wave T to its frequency f. Solve this formula for f. 2. The formula T ________________________________________ ________________________________________ Solve for the indicated variable. 3. x 5y for y 4. s 4t r for s ________________________ 6. 6 hj k for j 5. 3m 7n p for m ________________________ 7. ________________________ v 9 for w w ________________________ 8. ________________________ a3 c for a b ________________________ Answer each of the following. 9. The formula d rt relates the distance an object travels d, to its average rate of speed r, and amount of time t that it travels. a. Solve the formula d rt for t. _________________________________ b. How many hours would it take for a car to travel 150 miles at an average rate of 50 miles per hour? _________________________________ 10. The formula F E V 2 relates the number of faces F, edges E, and vertices V, in any convex polyhedron. a. Solve the formula F E V 2 for F. ________________________________ b. How many faces does a polyhedron with 20 vertices and 30 edges have? ________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1 Name _______________________________________ Date __________________ Class __________________ Equations Review 3.1-3.7 Write all Work on lined Paper. Solve each equation. 14. 5(x 1) 5(x 5) 15 1. Samir swam m fewer laps than his friend Kristen, who swam 8 laps. Write an expression for the number of laps Samir swam. 2. Write two verbal expressions for k . 10 3. Evaluate p q for p 1.4 and q 0.1. 4. x 39 105 5. 11.5 a 4.5 6. Write an equation to represent the relationship “a number decreased by negative 2 is equal to 21.” Then solve the equation. Solve each equation. 7. m 7 4 15. Solve S 16. Solve 0.30x 6y 300 for x. 17. Solve (a 9) 3a 17. F 8 H 2 G 4 J 6.5 18. A printing company will charge $6 plus $0.07 per page. Another company will charge $24 plus $0.04 per page for the same project. For how many pages will the costs be the same regardless of which company is used? A 330 C 600 B 400 D 1000 19. Solve 10(x 1) 10 10x. F no solution 8. 4.8t 9.6 G 1 9. Write an equation to represent the relationship “the product of a number and 2.5 is 60.” Then solve the equation. H 0 J all real numbers 20. Solve A Solve each equation. 10. 9(z 1) 2z 16 62 11. 7 d 3d 10 5 2 12. A printing company charges $42 plus $0.05 per page. Another company just charges $0.08 per page. How many pages are in an order that costs the same regardless of which company is used? n (a b) for b. 2 A c 1 (b c)h for c. 2 h b 2A B c 2Ah b C c 2A b h D c 2h(A b) Solve each equation. 13. 10a 35 8a 1 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1