Use the laws of exponents to simplify, Write your answer using only positive exponents: 1) Find the product of -5x y z and -4xy z 12x7y-5--3 2) 26x4y2--5 Simplify the following expressions: 3) Find the difference of 6.x3 - 5x2 - 7x and -9x3 + 8x2 - 10x Multiply polynomials and simplify if possible 4) -3xly3( 7x5y5 - 2x3 y2 + 7xzy' ) 5) (2mm - 5m)-T Y Insert Table Chart Text Shape Media Comment Solve each Linear Equation. Decide whether it is a conditional equation, an identity, or a contradiction: 6) 12- 5x = 3 + 4x -9(x - 1) 5x 7 7) 2.x 6 12 8) Suppose that the relation S is defined as follows. S = {(-8, 10), (9, 12), (8. 9), (12, 10)(9, 12)} Give the domain and range, and indicate whether the relation is a function or not. Write your answer using set notation. Find the domain of the functions below. Write your answer using interval notation. 7 ) 84X) = x2 - 1 1x + 24 10) Suppose that the functions f, g, and & are defined for all real numbers x as follows and x = 6, f(x) = 2x2 - 3x +5 g(x)= x-+ 8x -9 k(x) = 3x2 - 5x - 4 Evaluate (f + g - k) (x), at x = 16. 11) Suppose that the functions f and g are defined as follows. f(x) = 2x-- 12 g (x) = 3x + 7 Find (f (go)))( -3) 312) The graph of the relation T is shown below. Give the domain and range of T. Write your answer using set notation. ..4..L.. -B-7-6-5-4-3-2-1 .23. 4 5.6 7. 8. 13) Write the equation in the form x | = a , describe how the value of "a" affects the solution to the equation. Solve the absolute value equation: - 4 3x - 1 +7= -13 14) The entire graph of the function fis shown in the figure below. Write the domain and range of f using -6-5-4- interval notation.15) Find the greatest common factor (GCF) for list of terms: 18xby', -27xy8, 36x5y5 Factor completely: 16) 2xy - 3y + 8x - 12 17) 2m2 + 6m - 80 Solve by Factoring: 18) 3y - 27y = 0 19)x- + 5x = 24 Multiply Rational Expressions: 16xy3 2514 20) 5y 48.x ys Divide Rational Expressions: by - 12 3v2 - 12 21) v2 + 3y - 28 y2 + 9y + 14