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Standards: A-CED.A.3, A-CED.A.4, A-REI.A.1, A-REI.B.3, A-REI.C.5, A-REI.C.6, A-REI.D.10, A-REI.D.12 Solving Equations and Inequalities Module 1 Topic C Algebra 1 End-of-Module Assessment Task 1. Solve the following equations for x. Write your answer in set notation. x = { } 3x - 5 = 16 2. Solve the following equations for x. Write your answer in set notation. x = { } 3(x + 3) - 5 = 16 3. Solve the following equations for x. Write your answer in set notation. x= { } 3(2x - 3) - 5 = 16 4. Solve the following equations for x. Write your answer in set notation. x = { } 6(x + 3) - 10 = 32 5. Let c and d be real numbers. If c = 42 + d is true, then which one is greater? not enough information c is greater because is 42 more than d d is greater because is 42 more than c c and d must be equal 6. Let c and d be real numbers. If c = 42 - d is true, then which is greater? not enough information c is greater because is 42 more than d d is greater because is 42 more than c c and d must be equal 7. Solve for x and select the correct property or properties used: x = 12 Addition property of equality x = 6.75 Multiplication property of equality x = 12 Multiplication property of equality x = 12 Distributive property ¾ x = 9 Addition Property: adding or subtracting Multiplication Property: multiplying or dividing 8. Solve for x and select the correct property or properties used: x = 5 Add. and Mult. properties of equality x = -5 Add. and Mult. properties of equality x = 5 Addition property of equality x = 5 Distributive property 10 + 3x = 5x Addition Property: adding or subtracting Multiplication Property: multiplying or dividing x < 2(m + g) Add. and Mult. properties of equality x < 2(m - g) Add. and Mult. properties of equality x > 2(m + g) Add. and Mult. properties of equality x > 2(m - g) Add. and Mult. properties of equality 9. Solve for x and select the correct property or properties used: ½ x - g < m Addition Property: adding or subtracting Multiplication Property: multiplying or dividing x = 2(q - r) Add. and Mult. properties of equality x = 2(q + r) Add. and Mult. properties of equality x = (q - r)/2 Add. and Mult. properties of equality x = (q + r)/2 Add. and Mult. properties of equality 10. Solve for x and select the correct property or properties used: q + 5x = 7x - r Addition Property: adding or subtracting Multiplication Property: multiplying or dividing ¾ < x Dist., Add. and Mult. prop. of = ¾ > x Dist., Add. and Mult. prop. of = 1.5 < x Dist., Add. and Mult. prop. of = 1.5 > x Dist., Add. and Mult. prop. of = 11. Solve for x and select the correct property or properties used: 3(5 - 5x) > 5x Addition Property: adding or subtracting Multiplication Property: multiplying or dividing 12. Students and adults purchased tickets for a recent basketball playoff game. All tickets were sold. Student tickets cost $5 each, and adult tickets cost $10 each. A total of $4,500 was collected. 700 tickets were sold. Which equation will represent the amount of tickets sold? s + a = 700 s - a = 700 5s + 10a = 4500 5s - 10a = 4500 13. Students and adults purchased tickets for a recent basketball playoff game. All tickets were sold. Student tickets cost $5 each, and adult tickets cost $10 each. A total of $4,500 was collected. 700 tickets were sold. How many adult tickets were sold? Do not leave spaces in your answer. a = 14. Students and adults purchased tickets for a recent basketball playoff game. All tickets were sold. Student tickets cost $5 each, and adult tickets cost $10 each. A total of $4,500 was collected. 700 tickets were sold. How many student tickets were sold? Do not leave spaces in your answer. s = 15. Jack is 27 years older than Susan. In 5 years time, he will be 4 times as old as she is. Write Jack's present age. j = 16. Jack is 27 years older than Susan. In 5 years time, he will be 4 times as old as she is. Write Susan's present age. s = 17. Find the solution set of the following set of equations: y = x + 1 y = -2x + 10 (x,y) = ( ) Write your answer in the following format: (x,y)Do not leave spaces in your answer. 18. Andy's Cab Service charges a $6 fee plus $0.50 per mile. His twin brother Randy starts a rival business where he charges $0.80 per mile but does not charge a fee. If x is the number of miles and C is the cost, which one would be Andy's cab's service cost? C = 0.5x - 6 C = 0.8x C = 0.5x + 6 C = 0.8x + 6 19. Andy's Cab Service charges a $6 fee plus $0.50 per mile. His twin brother Randy starts a rival business where he charges $0.80 per mile but does not charge a fee. What is the value of x? Do not leave empty spaces in your answer. x = 20. Andy's Cab Service charges a $6 fee plus $0.50 per mile. His twin brother Randy starts a rival business where he charges $0.80 per mile but does not charge a fee. What is the value of C where the two equations intercept? C = Do not leave empty spaces in your answer. |