Complete the tables and determine if the two equations are equivalent.

Here are the solutions to the questions. Question 1 1.1 To complete the table for y = 2x - 10, substitute each input value of x into the equation. Step 1: Calculate y for each x value. For x=1: y = 2(1) - 10 = 2 - 10 = -8 For x=2: y = 2(2) - 10 = 4 - 10 = -6 For x=3: y = 2(3) - 10 = 6 - 10 = -4 For x=4: y = 2(4) - 10 = 8 - 10 = -2 For x=5: y = 2(5) - 10 = 10 - 10 = 0 The completed table is: Input values (x) | 1 | 2 | 3 | 4 | 5 -------------------|---|---|---|---|--- y = 2x - 10 | -8 | -6 | -4 | -2 | 0 1.2 To complete the table for y = 6x + 25 - 4x - 35, first simplify the expression, then substitute each input value of x. Step 1: Simplify the expression for y. y = 6x + 25 - 4x - 35 y = (6x - 4x) + (25 - 35) y = 2x - 10 Step 2: Calculate y for each x value using the simplified expression. For x=1: y = 2(1) - 10 = 2 - 10 = -8 For x=2: y = 2(2) - 10 = 4 - 10 = -6 For x=3: y = 2(3) - 10 = 6 - 10 = -4 For x=4: y = 2(4) - 10 = 8 - 10 = -2 For x=5: y = 2(5) - 10 = 10 - 10 = 0 The completed table is: Input values (x) | 1 | 2 | 3 | 4 | 5 -------------------|---|---|---|---|--- y = 6x + 25 - 4x - 35 | -8 | -6 | -4 | -2 | 0 1.3 Is 2x - 10 equivalent to 6x + 25 - 4x - 35? Explain your answer. Step 1: Simplify the second expression. 6x + 25 - 4x - 35 = (6x - 4x) + (25 - 35) = 2x - 10 Step 2: Compare the simplified expression with the first expression. The simplified expression 2x - 10 is identical to the first expression 2x - 10. Yes, the expressions are equivalent. This is because when the expression 6x + 25 - 4x - 35 is simplified by combining like terms, it results in 2x - 10, which is the same as the first expression. Question 2 2.1.1 Substitute m = 1 in A and B respectively. A) For m(2 - m): Substitute m=1: 1(2 - 1) = 1(1) = 1 B) For m(-m + 2): Substitute m=1: 1(-1 + 2) = 1(1) = 1 2.1.2 Do you get the same answer? Yes, both expressions evaluate to 1 when m=1. Drop the next question! 📸