Assignment:
Q1). Rationalize the denominator and simplify
√15 / √55
Q2). Solve for t , where t is a real number. If there is more than one solution, separate them with commas.
√(t - 22 = 5)
Q3). Solve for x where x is a real number. If there is more than one solution, separate them with commas.
√6x + 7 = √9x - 10
Q4). What is the value of 3√125 ?
Q5). Write expression in simplified radical form 3√54
Q6). Find the roots of the quadratic equation. If there is more than one root, separate them with commas. 2 - 5y - 6 = 0
Q7). Solve the equation for x. If there is more than one solution, separate them with commas. (x + 5)2 = 2x2 + 18x + 37
Q8). Solve (x - 10)2 - 16 = 0 where x is a real number. Simplify as much as possible. If there is more than one solution, separate them with commas.
Q9). Solve for by using quadratic formula. If there is more than one solution, separate them with commas. 2x2 + 7x - 3 = 0
Q10). Graph the parabola. y = (x + 1)2 - 1.
Q11). Graph the parabola. y = 3 / 2 x2
Q12). Graph the parabola. y = (5 / 3)x2 - (20 / 3)x2 +29 / 3
Q13) Find the x intercept(s) and the coordinates of the vertex for the parabola y = x2 + 2x - 8. If there is more than one x intercept, separate them with commas.
Q14). Solve: 4u2 + 2 = 6u If there is more than one solution, separate them with commas.
Q15). Solve the equation for z If there is more than one solution, separate them with commas. 2z2 - 5z + 12 = (z -4)2
Q16) Compute the value of the discriminant and give the number of real solutions to the quadratic equation. 8x2 + 3x - 1 = 0
Q17). Solve for y where y is a real number. If there is more than one solution, separate them with commas.
A). -y + 30 = y
B). 9y + 3 = 2y + 11
Q18). Solve for z where z is a real number. If there is more than one solution, separate them with commas. z + 18 = 9
Q19. Factor completely:
A). 2t4 y3 - 32y3
B). 16x7 - 84x6 + 20x5
Q20) Order the expressions by choosing .
A) 2-1 ? 2-2
B) (1 / 2) -1 ? 2 -1
C) (1 / 2) -1 ? (1 / 2) -2
Q21). Simplify. Write answer without using negative exponents.
(x3) -7
Q22). Write in scientific notation
(-3 x 10-7)3
Provide complete and step by step solution for the question and show calculations and use formulas.