Solving One-Variable Equations with Systems Answers

Which system of equations can be graphed to find the solution(s) to x2 = 2x + 3?

What are the two solutions of 2x2 = –x2 – 5x – 1?

Which graph can be used to find the solution(s) to x2 – 1 = 3?

Tiffany is solving an equation where both sides are quadratic expressions. She sets each quadratic equation equal to y and graphs the resulting system. If the graph of one quadratic opens upward and the other opens downward, what is the greatest possible number of intersections for these graphs?

Heather is solving an equation by graphing the expressions on either side of the equal signs. If the graph intersects at an infinite number of points, which statement could describe the equation Heather is attempting to solve?

Which graph can be used to find the solution(s) to x2 – 1 = x + 1?

Which graph can be used to find the solution(s) to x2 – 4x + 4 = 2x + 1 + x2?

What are the two solutions of x2 – 2x – 4 = –3x + 9?

Which system of equations can be graphed to find the solution(s) to ?

Sonia graphs the equations y = –x2 + 4x and y = x – 4 to solve the equation –x2 + 4x = x – 4. Her graph is shown below.What are the solutions of –x2 + 4x = x – 4?