Download Unit 3 - Solving Equations Packet 2016-2017

Integrated Algebra 1A CW 3.13 Review for Equations Test HW 3.13 Finish Packet Review ______________________________ 1. Which property is illustrated: x + 3 = 3 + x ______________________________ 2. Which property is illustrated: 3(2 + x) = 6 + 3x 2
______________________________ 3. Using the formula y = (x − 4) what is y when x = 10? 3
______________________________ 4. Solve for a: 25 − (a − 1) = 48 ______________________________ 5. Using the formula a = bc solve for b. ______________________________ 6. Solve for x: 12x − 4(2x − 3) = 16 ______________________________ 7. Mikayla traveled 124 miles on Monday, 312 miles on Tuesday, 30 miles on Wednesday, 250 miles on Thursday, 270 miles on Friday and 195 miles on Saturday. How many miles did Mikayla travel on Sunday, if the mean number of miles for the week is 210 miles? 48 ______________________________ 8. You have $50. You go shopping for a pair of pants and socks. You come home with $15. The pants were 4 times as much as the socks. How much did the pants cost? How much did the socks cost? ______________________________ 9. Solve for x: 3(x – 2) = 1.5 – 2x ______________________________10. Solve for x: 3x = 18 – 3x 3
______________________________ 11. Solve for x: x − 7 = 5 4
x+5
______________________________ 12. Solve for x: = −12 3
______________________________ 13. Three times a number decreased by eight is seven. Find the number. 49 ______________________________ 14. Solve for x: 42 + 2x = -­‐12x ______________________________ 15. Eight times a number less 10 is 38. Find the number. ______________________________ 16. The second of two numbers is 3 times the first. Their sum is 16. Find the numbers. ______________________________ 17. Find 3 consecutive integers whose sum is 24. ______________________________ 18. Find two consecutive odd integers whose sum is 44. 50 ______________________________ 19a. Solve for x: x x 7
a. + = !3 18 6
2 4 14
b. + =
! x 3 3x
______________________________ 19b. ______________________________ 20. Which expression represents “twice the quantity of 4 less than x.” ______________________________ 21. Simplify: 40 ÷ 4 − 5 ⋅ 6 ÷ 10 ______________________________ 22. Which is an irrational number? 0 64 .74 2 ______________________________ 23. The sum of 3 consecutive even integers is 72. Find the integers. ______________________________ 24. Hannah and Hailey have a 30 foot roll of ribbon from which to make hair bows. Hannah makes four times as many bows as Hailey. When they are finished they have not used 5 feet of ribbon. How much ribbon did Hailey use to make the hair bows? ______________________________ 25. The volume of a rectangular prism is V=lwh where l represents the length, w the width and h the height. a) Solve the formula for l. b) Find the length of the prism if the volume is 83.3 cubic cm., width is 4.25 cm and the height is 8 cm. 51 Problem 26 – 28: Each of the solutions has at least one error. Describe the mistake(s), make the correction(s) and answer completely. 26. Find three consecutive odd integers when the sum of the second and third integer is 40. Let: x = 1st consecutive odd integer = 18 x + 1 = 2nd consecutive odd integer = 19 40 rd
x + 3 = 3 consecutive odd integer = 21 (x + 1) + (x + 3) = 40 2x + 4 = 40 -­‐ 4 -­‐4 2x = 36 2 2 x = 18 27. Simplify: 50 − 3(5 + 3(−4)) 47(5 + 3(-­‐4)) 47(5 + (-­‐12)) 47(-­‐7) -­‐329 28. If 5 less than twice a number is -­‐9. Find the number. 5 – 2x = -­‐9 -­‐5 -­‐5 -­‐2x = -­‐14 -­‐2 -­‐2 x = 7 check: 5 – 2(7) = -­‐9 5 – 14 = -­‐9 -­‐9 = -­‐9 52