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Solving One-Variable Equations
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2x2 - 3x - 2 = x + 4 The equation is represented by the system shown here. Check all of the solutions to this equation.
3 7 (-1, 3) (3, 7) -1, 3 ( not the pairs). −x2 + x + 6 = 2x + 8 The equation is represented by the system shown here. This system intersects in ( ) place(s). Which statement is true? The solution is x = 3. The solutions are x = -2 and x = 3. There are no solutions. There are infinite solutions.Zero There are no solutions.
What is 6x - 8 = 4 written as a system? y = 6x - 8y = - y = 6x - 8y = 4 y = -6x + 8y = 4 The ( ) product property allows an equation in one variable to be written as a system of equations. y = 6x - 8y = 4 substitution What is x2 + 6x = x2 - 6x as a system? y = x2 + 6xy = x2 - 6x y = -x2 + 6xy = x2 - 6x y = -x2 - 6xy = x2 - 6x Check all of the solutions to the original equation.
6 0 y = x2 + 6x , y = x2 - 6x 0 Which graph shows solving 2x2 - 8x + 5 = -x2 + 4 by graphing a system? Graph C When an equation in one variable is solved using a system of equations, the solution is always the ( ) of each intersection. Which type(s) of equation can have infinite solutions?
Describe the graph that would be used to solve the equation -x2 + 4 = x + 2 using a system of equations. How will you use the graph to find the solution(s)? The graph contains a parabola that opens down and has a vertex at (0, 4). The graph contains a line that has a slope of 1 and a y-intercept of 2. The solutions are the x-coordinates of any intersection points. (check all after you enter that response)
