Test 3 Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify. Write the answer with positive exponents. 1) 2x3 7x5 A) -14x15 2) (6x - 2)0 A) 1 3) B) 14x15 C) -14x8 D) 14x8 B) 0 C) 6x + 1 D) -1 B) x7 y7 C) x7 y6 D) x8 y7 x12y11 x4 y4 A) xy7 4) 3 -2 A) -9 B) 1 6 C) 1 9 D) 9 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Write the number in scientific notation. 5) 86,000 Find the degree of the polynomial and indicate whether the polynomial is a monomial, binomial, trinomial, or none of these. 6) 6z 4 + z Simplify. 7) If P(x) = x2 + 6x - 2, find P(2). Solve. 8) The total revenues (in dollars) for a hot dog vendor selling x hot dogs is given by the polynomial function R(x) = 1.75x. Find the total revenue in selling 60 hot dogs. Simplify by combining like terms. 9) -9x2 + 6x - 2x + 9x Perform the indicated operations. 10) (7x2 + 3x + 5) - (10x2 - 4) 1 Multiply. 11) 5x(2x - 4) 12) (x + 7y)(x + 9y) 13) (x - 3)2 Factor the polynomial completely. 14) 18x4 + 10x2 15) xy + y + 7x + 7 16) x2 - x - 72 Solve the equation. 17) (x - 7)(x + 2) = 0 Solve. 18) If the cost, C(x), for manufacturing x units of a certain product is given by C(x) = x2 - 30x + 5400, find the number of units manufactured at a cost of $9400. 2 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Match the polynomial function with its graph. 19) f(x) = (x - 3)(x + 1) A) B) C) D) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the domain of the rational function. 2x 20) f(x) = -5 - x Simplify the rational expression. 7x - 35 21) 5x - 25 Multiply or divide as indicated. Simplify completely. 4x - 4 5x2 22) x 9x - 9 23) 2x2 x3 5 15 3 Solve the problem. 24) A publishing company estimates the revenue from the sale of a popular book by the rational function 880x2 R(x) = where x is the number of years since publication and R(x) is the total revenue in millions of x2 + 7 dollars. Find the total revenue at the end of the first year. 25) If f(x) = x-8 , find f(-4). 4x + 13 Find the LCD of the rational expressions in the list. 9 8 26) , t t- 7 Perform the indicated operation. Simplify if possible. 3 4 27) 2x 9x Divide. 28) 28x2 - 35x - 14 7 29) (x2 + 2x - 24) (x - 4) If y varies inversely as x, find the inverse variation equation for the situation. 30) y = 60 when x = 3 4 Math 010 Test 3 Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Simplify. Write the answer with positive exponents. 1) 3x9 9x7 1) 2) (8x)0 + 8x0 2) x13y13 x8 y2 3) 3) 4) 4z -3 4) Find the degree of the polynomial and indicate whether the polynomial is a monomial, binomial, trinomial, or none of these. 5) -12x4 - 6x4 y + 2 5) Perform the indicated operations. 6) (6x5 - 8x4 ) + (2x5 + 6x4 - 9) 6) Simplify. 7) If P(x) = x2 + 4x + 7, find P(3). 7) Perform the indicated operations. 8) (10x2 - 10) - (-x3 - 7x2 + 3) 8) Multiply. 9) 9x(-6x - 12) 9) 10) (x - 2y)(x - 5y) 10) 11) (9x + 1)2 11) 12) (10y + x)(10y - x) 12) 1 Factor the polynomial completely. 13) xy - 3yz + 11x - 33z 13) 14) x2 + x - 72 15) 49x2 + 70x + 25 15) 16) 15x2 - 65x - 50 16) 17) x2 - 49 Solve. 14) 17) 18) If the cost, C(x), for manufacturing x units of a certain product is given by C(x) = x2 - 40x + 2100, find the number of units manufactured at a cost of $3300. 18) Solve the equation. 19) x2 + 7x = 18 19) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Match the polynomial function with its graph. 20) f(x) = x(x - 3)(x - 1) A) B) C) D) 2 20)