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Module 1FA Review 1. What relation is NOT a function? 2. An example of a joint variation, with y as the dependent variable would be __?__ 3. Define Irrational number and rational number, give an example of each. 4. Give an example of each of these properties: Distributive Property Associative Property of Addition Inverse Property of Addition Commutative Property of Addition 5. What does it mean when we say that an equation’s solution is “all real numbers” 6. Be able to write the equation when given an inequality graph. 7. The equation C=3.14d is an example of a __?__ variation where the constant of variation, 3.14, is the approximation for pi. 8. What is the inverse function of f(x)=4x-1? 9. Give an equation for a horizontal line. 10. What is the equation of the x axis? 11. Solve the equation showing all steps. -5x - 12 = 2x + 10 12. Solve the equation showing all steps. 4 - (x+3) = x - 1 13. Describe the graph of the solution for 2x > 3x-9 look like? 14. Find the slope and y intercept for the equation. 8x-12=4y+8 15. What is the slope of a line perpendicular to the line y=4x+1 16. Write the equation of the line that goes through the points (4,1) and (3,6). Show work. Answers: 1. 2. 3. A function is a relationship in which each member of the domain is mapped to only one member of the range. The general form of joint variation would be y = kxz. There are numbers that cannot be expressed as a fraction, and these numbers are called irrational because they are not rational. Rational numbers are all numbers of the form 5. 6. 7. are integers (but b cannot be zero). Distributive: 2(x + 3) = 2(x) + 2(3) Associative: (2+3)+4 = 2 + (3+4) Inverse Property of Addition: -3 + 3 = 0 Commutative: 5 + 6 = 6 + 5 All rational and irrational numbers Review lessons 1.09 and 1.10 Direct 8. y 4. x 1 x 1 y 4 4 9. y = 6 10. y = 0 11. x 22 7 12. x = 1 13. x 9 open dot at x = 9 shaded to the left 14. m = 2 and b = -5 15. m 1 4 16. y 5 x 21 y 5 x 21 m 1 4 a , where a and b b