LINEAR EQUATIONS UNIT REVIEW Name Sarah Barter Date Pd Solve each of the problems below. Be sure to ask questions if you need more help with a topic. I CAN WRITE AND SOLVE LINEAR EQUATIONS. 1. Solve the equation: 2. Solve the equation: + 33 = 30 ( = 315 ) X + 33 # 30 (- 3, 5) 17 - Ex = 10 ax - 105 - 138 3. A sprout in Jessie's garden is 5 cm tall and 4. An acorn is falling from 13 feet in the air. If it descends 4.8 feet every second, write and grows 17 cm each week. Write and solve an solve an equation to determine how long it will equation in order to determine how many take for the acorn to be 1 foot above the weeks it will take for the plant to be 13 cm tall. ground. Equation: Equation: Solution: Solution: I CAN WRITE AND SOLVE MULTI-STEP EQUATIONS. 5. Solve the equation: 6. Solve the equation: - 4 + w + 17 - EW = 16 -120 -4 +7.50-11=-6 7. The perimeter of the rectangle shown is 36 inches. Write and solve an equation to find the value of x. 12 Equation: 4x - 6 X = @Maneuvering the Middle LLC, 2017I CAN SOLVE EQUATIONS WITH VARIABLES ON BOTH SIDES. 8 9. 8x - 4 # 12x + 6+x -2 -0.56 + 12 = 0.36 + 6.2 10. 11. 5X - 24 = 6X - 6 5.9 - m #-4.5-5m 12. Write and solve the equation modeled below: X XXX -1 -x -x -x -x -1 Equation: Solution: 13. Hector is solving an equation with variables on both sides, and his work is shown below. Explain Hector's mistake. Then, find the correct solution to the equation. -124 + 4x =-9-8x -124+ 40 48x x =-9 4ox = 115 x = 24.2... @Maneuvering the Middle LLC, 2015 I CAN WRITE AND SOLVE EQUATIONS THAT REPRESENT REAL-WORLD PROBLEMS. 14. Marshall earns a salary of $36,000, and each year he receives a $4,000 raise. Jim 15. The square and equilateral triangle below earns a salary of $51,000, and each year he have the same perimeter. Find the value of x. receives a $1,500 raise. How many years will it Then, find the perimeter of each shape. take for Marshall and Jim to earn the same salary ? 2gx + 30 Equation: Equation : 361000+ 4/ 200+ 5/1000 X: Solution: Perimeter: 16. Peter's suitcase weighs 145 pounds and increases by 5 pounds each minute as he packs. William's suitcase weighs 48 pounds and decreases by 5 pounds each minute as he unpacks. After how many minutes will the weight of both suitcases be the same? Equation: Solution: I CAN WRITE INEQUALITIES THAT REPRESENT REAL-WORLD PROBLEMS. 17. Vera is currently using 16,000 MB of 18. Xander's water bottle contains 15.4 oz of storage on her phone, and she is deleting 2.2 water, and he is drinking 0.5 oz of water per MB of music each minute. Keira is currently second. Leon's water bottle contains 5.4 oz of using 11,275 MB of storage on her phone, and water, and he is adding 0.75 oz of water each she is adding 16.7 MB of music each minute. second. Write an inequality that could be used to find Write an inequality that could be used to find the number of minutes it will take for Vera to the number of seconds it will take for Xander's be using no more than the amount of storage water bottle to have a fewer number of ounces that Keira is using. than Leon's water bottle. @Maneuvering the Middle LLC, 20 17I CAN WRITE REAL-WORLD PROBLEMS GIVEN AN EQUATION. 19. For a-b, determine whether the equation below correctly represents the situation. If so, write "yes." If not, write "no" and the correct equation for the situation described. 12 - TOX = 2 + TOX a. Jill's bowl of pudding contains 12 ounces, and she eats 7 of an ounce each second. Barb's bowl of pudding contains 7 of an ounce, and she adds 2 ounces each second. After how many seconds will the two bowls contain the same amount of pudding? b. Raven runs 12 miles throughout her first week of training and decreases her total distance by To of a mile each week after. Josh runs 2 miles during his first week of training and increases his total distance by 70 of a mile each week after. After how many weeks will Raven and Josh run the same amount? I CAN WRITE REAL-WORLD PROBLEMS GIVEN ANINEQUALITY. 20. For a-b, determine whether the inequality below correctly represents each situation. If so, write "yes." If not, write "no" and the correct inequality for the situation described. 100 + 23.75x