The work of a student trying to solve the equation 4(2x − 1) = 11 + 3x + 5 is shown below: step 1: 4(2x − 1) = 11 + 3x + 5step 2: 8x − 4 = 16 + 3xstep 3: 8x + 3x = 16 − 4step 4: 11x = 24step 5: x = 2.18in which step did the student first make an error and what is the correct step? step 2: 8x − 1 = 16 + 3xstep 2: 8x − 8 = 6 + 3xstep 3: 8x − 3x = 16 + 4step 3: 8x + 3x = 16 − 8

How is working backward similar to solving an equation?

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Which of these angles are complementary? a. 45o and 45o b. 63o and 117o c. 45o and 135o d. 90o and 45o