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for each equation below, determine whether the number shown in bold is a solution to the equation. if the number is not a solution, then find the solution. show your work. a. x + 17 = -3; -20 b. y - 12 = 14; 10 part i: plug each answer into the equation for the variable. (2 points; 1 point each) part ii: perform the calculation on the left side of the equation. (2 points; 1 point each) part iii: determine if the number given is a correct solution. if the number is not a solution, find the correct solution. (4 points; 2 points each) 3. solve each of the equations shown below. show your work. (12 points; 6 points each) hint: recall that, to solve equations of the form x + a = b or x – a = b, you must identify what was done to the variable, then undo it by performing the reverse operation. a. t + 7 = -13 b. n - 12 = -17 4. graph the following inequalities on the number lines provided. (8 points; 2 points each) step 1: plot the endpoint on the number line. hint: remember to think about the endpoint as an open circle or a closed circle. step 2: shade the number line to match the direction of the inequality. a. b. c. d. 5. solve the following inequalities by performing a reverse operation to both sides. show your work. (4 points; 2 points each) a. b. 6. ginger's brother is 6 years younger than she is. ginger's brother is 7 years old. write and solve an equation that will determine ginger's age. step 1: define the variable to be used. choose a letter and say what it represents. (2 points) step 2: using the variable defined in step 1, write the equation that represents the verbal description. (1 point) step 3: solve the equation you wrote in step 2. show your work. (2 points) step 4: explain the solution you found in step 3. (2 points) 7. the equation 7 + x = 23 was presented to two different students. student #1 solved the equation by subtracting 7 from both sides to get x = 16. student #2 rewrote the equation as x + 7 = 23 then solved by subtracting 7 from both sides to get x = 16. did both students use a correct method for solving the equation? explain your answer. (3 points)