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Algebra 1 Unit 2 Test Review Name________________________________Block____________Date______________ Part 1: Vocabulary – Match each type of equation with the proper vocabulary word by writing the correct letter in the blank. _______1. F 9 5C 32 A. Ratio _______2. 4( x 3) 4 x 12 _______3. If B. Cross products 9 12 , then 4x 36 6 x C. Infinite Solutions Equation _______4. A scale on a map is 2cm to 25 km D. No Real Solution Equation _______5. 9 152 6 x E. Proportion _______6. 5x + 7 = 5x + 3 F. Formula Part 2: Solving Equations – Solve the following equations. You must show all your work if you wish to receive partial credit! 7. 10. 3 y 27 4 9(n 3) 7 n 3 8. 3x 1 16 11. 9. 3( x 5) 6 3 x 9 x 3 10 5 x 14 Algebra 1 Unit 2 Test Review 12. 6 3 5( y 2) 14. 17( x 4) 5 4 x 51 13. 3x 2( x 3) x 15. 4 x 1 x 5 5 Part 3: Literal Equations – Solve for the given variable. 16. Solve for h: A = ½ bh 17. Solve for x: y = mx + b Part 4: Percent Problems – Solve the following by setting up a proportion. 18. What is 45% of 96? 19. 14 is what percent of 70? Algebra 1 Unit 2 Test Review Part 5: Word Problems – Solve the following word problems by setting up an equation or a proportion and solving it. 20. A cable TV company charges $41.99 per month for basic service, plus $8.99 for each pay-per-view movie. How many movies were purchased if a total monthly bill was $95.93? 21. You need to by a new computer for your business. You must make a $100 down payment and the rest is to be paid off in 12 equal payments. If the total cost of the computer is $1600, how much will each of your payments be? 22. A photograph is 5 in. wide and 7 in. long. A yearbook editor has the photo reduced to fill a space 2 in. wide. How long is the reduced photograph? 23. On a map, 1 inch represents 10 miles. If it is 4.75 inches from city A to city B on the map, how far away are the cities in real life? Algebra 1 Unit 2 Test Review Part 6: Properties – The steps for solving the following equation are shown. Justify each step by naming a property, method, or axiom of equality listed in the word bank below. Not all choices will be used. 2 y 18 12 6( y 7) 2 y 18 12 6 y 42 2 y 18 6 y 12 42 2 y 18 6 y 30 -2y -2y A. ____________________________ B. ____________________________ C. ____________________________ D. ____________________________ 18 8 y 30 +30 +30 48 8 y 8 8 E. _____________________________ F. _____________________________ 6 y G. _____________________________ y 6 Word Bank Addition Property of Equality Multiplication Property of Equality Commutative Property Distributive Property Combining Like Terms Subtraction Property of Equality Division Property of Equality Associative Property Substitution Property of Equality Symmetric Property of Equality