Unit 5 – Algebraic and Geometric Connections Practice – Completing the Square Name Date Write the equation of the circle in standard form by completing the square x2 + y2 – 4x + 10y – 7 = 0 x2 + 8x + y2 + 5y – 2 = 0 Write the equation of the circle in standard form by completing the square. Show work on separate sheet. Answer on this sheet.

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).

Which of the statements about the graph of the function y = 2x are true? check all of the boxes that apply. the domain is all real numbers x because the exponent of 2 can be any real number when the x-values increases by 1 unit, the y-value multiplies by 2. the y-intercept is (0, 1). the graph never goes below the x-axis because powers of 2 are never negative. the range is all real numbers.

Type the correct answer in the box. consider the system of linear equations below. rewrite one of the two equations above in the form ax + by = c, where a, b, and c are constants, so that the sum of the new equation and the unchanged equation from the original system results in an equation in one variable.