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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive. 101) 3√(x - 10) = 5 A) -5 B) -135 C) 135 D) 115 Solve the equation. 102) x2 = 4 A) -2 B) 3 C) ± 2 D).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the ellipse. 1) x2/36 + y2/9 = 1 A) B) C) D) 2) 25x2 + 36y2 = 900 A) B) C) D) Use the graph to determine the equation of the ellipse. 3) A) x2/9 + y2/4 = 1 B).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. For each pair of similar triangles, find the missing side x. Round your answer to the nearest tenth when necessary. 1) A) x = 9 B) x = 15 C) x = 20 D) x = 5 2) A) x =.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive. 81) A manufacturer's cost is given by C = 400 3√(n) + 200, where C is the cost and.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression. 1) (5!/3!) A) 5 B) 20 C) (5/3) D) 2! 2) (2!/4!) A) 12 B) 2! C) (1/2!) D) (1/12) 3) (5!/3! 2!) A) 0! B) 1 C) 10 D) 5 4) (7!/6!) A) 7! B) (7/6) C) 7 D) 1 5) (8!/4!4!) A) 70 B) 1680 C) 35 D) 140 6) 8C4 A) (1/2) B) 840 C) 70 D).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated composite for the pair of functions. Perform the indicated operation for the given f(x) and g(x). 41) f(x) = x - 3, g(x) = x + 3 Find (fg)(-2). A) 1 B) -5 C) 4 D) -11 42) f(x) =.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the vertex of the parabola. 121) x2 = 81 A) ±10 B) 40.5 C) 9 D) ±9 122) x2 + 4 = 85 A) ±8 B) 9 C) 42.5 D) ±9 123) 6x2 + 5 = 299 A) ±8 B) 149.5 C) 7 D) ±7 124) -7x2 - 7 = -35 A).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated composite for the pair of functions. 161) logbx + logby A) log2b(x + y) B) logbxy C) log2bxy D) logb(x + y) Write the expression as one term. Evaluate if possible. 162) log32 - log8 A) 24 B) log4 C) log24 D) 4 163) log800x2.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the vertex of the parabola. Solve the equation using the quadratic formula. 161) (2x - 3)(x + 1) = 0 A) (2/3), 0 B) (2/3), -1 C) (2/3), 1 D) (3/2), -1 162) 3x(x - 5) = 2 A) (-15 ± √(249)/6) B) (15.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the volume of the solid. 1) Sphere with radius 7 units Use 3.14 as an approximation for π. Round results to the nearest hundredth if necessary. A) 179.5 cu. units B) 4308.08 cu. units C) 1436.03 cu. units D) 205.15 cu..
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive. 21) √((2/3)) - √((72/108)) A) 0 B) - (1/6) C) -6 D) -1 22) (√(147)/7) - (3√(3)/7) + (√(3)/√(49)) A) (5√(3)/7) B) (√(3)/7) C) - (√(144)/7) D).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated composite for the pair of functions. 61) f(x) = 4x, x = 0.5 A) 4 B) (1/4) C) (1/2) D) 2 62) f(x) = 4x, x = -0.5 A) 4 B) (1/2) C) -2 D) 2 63) f(x) = ((1/4))x, x = 3 A) 64 B).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the vertex of the parabola. 101) (3/5) ± (√(11)/5) A) 1.26, -0.06 B) 0.66, -0.66 C) 3.92, -2.72 D) 2.80, -1.60 The graph of ax2 + bx + c is given. Use this graph to solve ax2 + bx + c.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated composite for the pair of functions. Evaluate the logarithm to four decimal places. 121) ln254 A) 93.7269 B) 0.1800 C) 5.5373 D) 2.4048 122) ln34 A) 3.5553 B) 3.4965 C) 3.5264 D) 3.6636 123) ln0.988 A) 0.0121 B) -0.0121 C) -0.0052 D) 0.0052 Graph the function. 124) f(x) = ln(x +.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the vertex of the parabola. 61) f(x) = -5x2 A) (0, 0) B) (-5, 0) C) (0, -5) D) (5, 0) 62) f(x) = (x + 7)2 A) (7, 0) B) (0, -7) C) (-7, 0) D) (0, 7) Compare the graph of the given quadratic.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the vertex of the parabola. Find the exact solutions to the quadratic equation, using a method of your choice. 201) x2 + 2x - 8 = 0 A) 4, -2 B) -4, 1 C) 4, 2 D) -4, 2 202) x2 +.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated composite for the pair of functions. 201) 2-x = (1/8) A) x = - (ln8/ln2) B) x = ln(1/4) C) x = - ln4 D) x = (ln8/ln2) 202) 4(6 - 2x) = 16 A) x = - (ln16/ln4) -.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated composite for the pair of functions. 81) f(x) = 8.6(0.89)x A) C = 7.654; a = 1.89; R = 11% B) C = 8.6; a = 0.89; R = -11% C) C = 7.654; a = 0.89; R = -11% D) C = 8.6; a.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression by hand. Variables represent any real number. 101) (27x3) 3√(125x3) A) -3x B) 15 C) 15x2 D) 8x 102) √(5).√(16x3) A) x√(80x) B) √(80x3) C) 4x√(5x) D) 4√(5x3) 103) √(13x3).√(13x5) A) x4√(26) B) √(13x4) C) √(169x8) D) 13x4 104) √((192/3)) A) 64 B) 16 C) 9 D) 8 105) 3√((81)/(3)) A) 3√(3/(3)) B) 3 C) 3√(3) D).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the horizontal line test to determine if the function is one-to-one. 21) A) Yes B) No 22) A) Yes B) No 23) A) Yes B) No 24) A) Yes B) No Give the inverse operation for the statement. Then write a function f for.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the vertex of the parabola. 81) y = x2 + 3x + 1 A) y = (x + (3/2))2 - (5/4); (- (3/2), - (5/4) ) B) y = (x + 3)3 - 9; (-3, -9) C) y =.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive. If possible, evaluate the power function at the specified value of x by hand. Otherwise, use a calculator to.
Solve the system of equations. 18) x2 + y2 = 1 x + y = -1 A) (0, -1), (1, 0) B) (0, 1), (-1, 0) C) (0, -1), (-1, 0) D) (0, 1), (1, 0) 19) x2 + y2 = 145 x - y = 1 A) (9, -8), (8, -9) B) (9, 8), (-8, -9) C) (-9, 8), (-8,.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the parabola. 1) y = (x + 5)2 A) B) C) D) 2) y = -4(x – 3)2 - 4 A) B) C) D) 3) y = 4/5( x + 2)2 - 5 A) B) C) D) 4).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the vertex of the parabola. Determine whether the given value of x is a solution to the quadratic inequality. 221) 2x2 + 3x - 9 > 0; x = 3 A) Yes B) No 222) -x2 + 7 ≥ 0;.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether f is an arithmetic sequence. If so, identify the common difference. 1) f(n) = -3 + 2n2 A) Yes; 2 B) No 2) A) No B) Yes; -4 3) A) Yes; n2 B) No 4) A) No B) Yes; -2 Find a general.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated composite for the pair of functions. 181) Given log2 ≈ 0.3010 and log3 ≈ 0.4771, evaluate log24. A) 1.7323 B) 1.3801 C) 0.5044 D) 0.4308 Use the change of base formula to approximate the expression to four decimal places. 182).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the sum of the arithmetic series using a formula. 1) 1 + 2 + 3 + . . . + 135 A) S135 = 9045 B) S135 = 9180 C) S135 = 18,360 D) S135 = 18,225 2) 2 +.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated composite for the pair of functions. 141) f(x) = logx A) B) C) D) 142) f(x) = log2(x - 2) A) B) C) D) 143) f(x) = log4(x) + 3 A) B) C) D) 144) f(x) =.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the circumference of the circle. Use π = 3.14 and round your answer to the nearest hundredth. 1) Diameter = 9 units A) 254.34 units B) 28.26 units C) 56.52 units D) 14.13 units 2) Radius = 40 km A) 62.8 km B).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression by hand. Variables represent any real number. Match to the equivalent expression. 41) x1/4 A) 4√(x) B) √(x4) C) 4√(1/(x)) D) x-4 42) √(x7) A) x7/2 B) x-7/2 C) -x2/7 D) x-2/7 43) 3√(644) A) 1024 B) 256 C) 16,384 D) 4096 44) 1296- 1/4 A) (1/√(6)) B) (1/36) C) (1/6) D) (1/216) 45) 27-4/3 A).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the vertex of the parabola. 141) x2 = 7 - 4x A) 2 + √(11) B) -1 ± √(11) C) -2 ± √(11) D) -2 ± 1√(11) Solve the quadratic equation by any method. 142) x2 = 9 A) 3 B) -3 + i√(2) C).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated composite for the pair of functions. Complete the table. 101) A) B) C) D) 102) A) B) C) D) Evaluate the expression by hand, if possible. 103) log1,000,000 A) -6 B) 1 C) 6 D) 10 104) log0.001 A) -3 B) -10 C) 3 D).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive. 41) (3/5 - √(2)) A) (15 - 3√(2)/23) B) (3/5) - (3/√(2)) C) (15 + 3√(2)/23) D) (15 + 3√(2)/3) 42) (√(3)/√(11) + 2) A).
Determine if the following is a perfect square. 22) 100 A) Yes B) No 23) 6 A) Yes B) No 24) 1/110 A) Yes B) No Provide an appropriate response. 25) Find the length of the side of a square that has an area of 196 square feet. A) 15 ft B) 2 ft C) 14 ft D) 98 ft Simplify. 26) Ö144 A) not a real number B).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive. 1) √(15), √(20) A) 5√(15), 5√(20) B) √(5), 2√(5) C) 3√(5), 4√(5) D) Not possible 2) √(5), √(20), √(45) A) √(5), 2√(5), 3√(5) B) √(5), 4√(5),.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression by hand. Variables represent any real number. Simplify the expression. Assume that all variables are positive. 81) (x5)9/5 A) x9 B) x3 C) x5 D) x10 82) (x6y9)1/3 A) 3x6y9 B) x18y27 C) x3y2 D) x2y3 83) ((x6/y8))-1/2 A) (y3/x4) B) (x4/y3) C) (y4/x3) D) (x3/y4) 84) (16x8y4)1/2 A) 4x4y2 B).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write out the first five terms of the sequence for n = 1, 2, 3, 4, and 5. 1) f(n) = n2 + 3 A) 0, 3, 8, 15, 24 B) 0, 1, 4, 9, 16 C) 4, 7,.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated composite for the pair of functions. 1) f(x) = 3x + 9; g(x) = 3x - 1 Find (fog)(x). A) 9x + 6 B) 9x + 12 C) 9x + 26 D) 9x + 8 2) f(x) = -2x +.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the vertex of the parabola. 181) 25x2 - 10x + 1 = 0 A) No real solutions B) Two real solutions C) One real solution 182) 3x2 = -7x - 8 A) Two real solutions B) No real solutions C) One real solution Use.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression by hand. Variables represent any real number. 121) 3√(-216) A) -36 B) 36 C) 6 D) -6 122) √(-864) A) -12√(6) B) -12√(-6) C) Not a real number D) 12√(6) 123) 4√(32) A) 4√2 + (2) B) 2√(2) C) Not a real number D) 4√2(2) Simplify the radical expression.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated composite for the pair of functions. 221) lnx + lnx9 = 10 A) x = (e9/10) B) x = e10/9 C) x + x9 = e10 D) x = e 222) logx9 = 3 + 7 logx A) x =.
Shade the solution set in the xy-plane. 36) y ≤ 3x – x2 A) B) C) D) 37) (x – 4)2 + (y + 3)2 ≤ 4 A) B) C) D) 38) x2 + (y + 3)2 ≤ 16 A) B) C) D) 39) y ≥ -5x2 + 4 A) B) C) D) 40) x2.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression by hand. Variables represent any real number. 61) 7√((4t + 8)6) A) (4t + 8)7/6 B) (1/(4t + 8)6/7) C) (4t + 8)-7/6 D) (4t + 8)6/7 Approximate to the nearest hundredth. 62) -61/2 A) -6 B) 36 C) 2.45 D) -2.45 63) 31/3 A) 1.73 B).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive. 141) A) 40√(6) B) 10√(26) C) 1184 D) 20√(74) Find the distance between the points. 142) (2, 7), (-5, -4) A) 72 B) 77 C) 6√(2) D) -4 143).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive. Write the expression in standard form. 161) (7 - 8i) + (3 + 3i) A) 10 + 5i B) 10 - 5i C).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression by hand. Variables represent any real number. Graph the equation. 21) f(x) = √(x - 2) A) B) C) D) 22) f(x) = √(x) - 1 A) B) C) D) 23) f(x) = 3√(x + 1) A).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression by hand. Variables represent any real number. 1) √(144) A) 24 B) 12 C) 20,736 D) 14 2) √(x8) A) ± x16 B) ± x4 C) x4 D) x8 3) 3√(216) A) -216 B) 18 C) 6 D) -6 4) 3√((2x)6) A) 2x2 B) 4x2 C) 4x D) 6x6 5) 4√-(6561) A) -729 B) Not possible C).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive. 121) a = 4, b = 4, c = 8 A) Yes B) No 122) a = 1, b = √(2), c.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the vertex of the parabola. 241) x(-3 - x) > -10 A) (-∞, -5]∪[2, ∞) B) (-∞, -5)∪(2, ∞) C) (-5, 2) D) [-5, 2] 242) x2 + x - 4 ≥ 0 A) (-∞, (-1 + √(17 )/2)]∪[(-1 - √(17.
