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Name_____________________________________ /80 Math 100 Basic Algebra Test 1 old BJB Directions: Put your name on this sheet and the answer booklet. Do all work neatly in the answer booklet provided except for the number line in #16 which you should sketch on this page. Show all of your work. Partial credit is given. Leave no problem unanswered. Number problems as they are numbered on this paper. Simplify your answers as much as possible and circle your final answer where appropriate. All problems are worth 10 points except where noted. Be sure to use equal signs properly! Evaluate: 1. 2. 3 1 3 4 5 10 2 9 3 14 3. 15 20 18 9 4. 5 + 3[2 – 4(5 – 8)] + 8 2 = 3 5. 2 3[3(5 8) 2] Given the numbers; 12, 18 and 36. Find 6. the Least Common Multiple (LCM) and 7. the Greatest Common Factor (GCF) for the numbers. 7. Simplify the expression by combining like terms: 8xy3 2 xy 2 3x xy3 5 x 3xy 2 . 8. Use the distributive law to simplify this expression: t (6 t ) 5(t 2 2) 2 . Given the expression: 4 x 2 x2 y 3 2 y : 9. How many terms in the expression? 10. How many different factors are there in the second term? 11. What is the coefficient of the first term? 12. What is the constant term? 13. If x =-2 and y = 3 what is the value of the expression? 14. Solve the following linear equation for w: 1 1 w 5 ( w 2) . 4 2 15. Solve the following inequality for z: 1 7 2 z 11 . 16. Also display the answer to #15 on number line A. -10 -8 -6 -4 -2 0 2 4 6 8 10 Number Line A: _'__'__'__'__'__'__'__'__'__'__'__'__'__'__'__'__'__'__'__'__'_