Mrs. Nelson gave her students a task: Start with the expression 2x^3. Add, subtract, multiply, divide, or use exponents to make a new expression that is equivalent to 16x^10.

The answers of several students are shown below. For each student, determine if they are right or wrong. Then explain why using your exponent rules.

Zoe:

2x^3+14x^7

Right or Wrong?

Why?​

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.