Algebra 2 Part B

8 September 2022
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question
What is the value of the expression when c= -5 and d= 2? 45c + 28d
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D. -169
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Solve the equation 3y+20= 3 + 2y
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D. -17
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-5y - 9 = -(y-1)
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B. -2 1/2
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Is the following inequality sometimes, always, or never true? 2(8x-4) -2x ? 14x + 12
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Always true
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Solve the system by graphing -3x - y = -10 4x - 4y = 8
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(3, 1)
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Solve the system by substitution 2x + y = -11 3x - 4y = 11
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(-3, -5)
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Solve the system using elimination 2x + 6y = -12 5x - 5y = 10
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(0, -2)
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Which system of inequalities is represented on this graph?
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y < x-1 y ? -2x + 2
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Which graph represents the function y= -2x^2-5?
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D. (below -4 and facing down)
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Solve x^2 - 121 = 0
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D. 11, -11
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Solve by factoring n^2 + 2n - 24 = 0
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C. -6, 4
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Which expression gives the solutions of -5 + 2x^2 = -6x?
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C. -6 +- Square root 36 - (4) (2) (-5) / 4
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How many real solutions are there for 5x^2 + 7x + 2?
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C. 2
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Which expression is a cubic polynomai?
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B. x^3 - 1
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What is the factored form of the polynomial P(x) shown here?
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C. P(x) = (x+5) (x+2) (x)
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Which of the following binomials is a factor of x^3 + 4x^2 + x - 6?
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x + 2
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If a polynomial equation P(x) = 0 has 3 + 4i as a solution, what other solution must it have?
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3 - 4i
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What is the value of f(x) = 2(0.75)^x when x = 3
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0.8444
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What type of situation could be represented by the function f(x) = 2(0.94)^x?
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A population declining at a rate of 6%
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How is the expression log32 - log 8 written as a single logarithm?
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log 4
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What is the value of log5 25?
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2
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Find all the real square roots of -9/16
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No real root
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Find all the real cube roots of -0.000125
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-0.05
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What is a simpler form of the radical expression? Square root 36g^6
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6 Ig^3I
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What is a simpler form of the radical expression? 3 square root 125x^21y^24
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5x^7y^8
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Which of the following is a simpler form of the radical expression? Square root 27x^4/75y^2
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3x^2/5y
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Multiply and simplify if possible 4 square root 11 * 4 square root 10
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4 square root 110
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What is the simplest form of the expression? 3 square root 24a^10b^6
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2a^3b^2 3 square root 3a
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What is the simplest form of the product? 3 square root 4x^2 * 3 square root 8x^7
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2x^3 * 3 square root 4
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What is the simplest form of the quotient? 4 square root 820/ 4 square root 2
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3 4 square root 5
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What is the simplest form of the quotient? Simplify by rationalizing the denominator. square root 3x^12y^10 / square root 5x^6y^3
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x^3y^3 square root 15y / 5
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What is the simplest form of the radical expression? 4 ^4sqrt2x + 6 ^4sqrt2x
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10 ^4sqrt2x
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A rope is sqrt 250 units long. The rope is cut into two pieces, so that the lengths of the pieces are in the ratio 3:2. What is the length of the longer piece expressed in simplest radical form?
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3 sqrt10 units
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What is the simplest form of the expression? ^3sqrt750 + ^3sqrt2058 - ^3sqrt48
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10 ^3sqrt6
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What is the product of the radical expression? (7-sqrt7)(-6 + sqrt7)
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-49 + 13 sqrt7
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How can you write the expression with a rationalized denominator? sqrt3 - sqrt6 / sqrt3 + sqrt6
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-3 + 2 sqrt2
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Simplify the expression 49 1/2
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7
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Simplify the expression (-3)^1/3(-3)^1/3(-3)1/3
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-3
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Write the expression in radical form x^1/5
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^5sqrtx
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Write the expression in radical form t^-3/4
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1 / ^4sqrt^3
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Write the expression in exponential form (^3 sqrt a)^2
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a^2/3
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Find the product sqrt5 * ^3sqrt5
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5 5/6
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Simplify the number 8^2/3
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4
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Simplify the number 15^1.5
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64
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(32)^-4/5
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1/16
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Simplify the number (-32)^6/5
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64
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Find all the real fourth roots of 256/2401
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-4/7 and 4/7
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What is a simpler form of the radial expression? sqrt36g^6
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6 Ig^3I
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A garden has a width sqrt13 and length 7sqrt13. What is the perimeter of the garden in simplest radical form?
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16sqrt13 units
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What is the simplest form of the expression? sqrt20 + sqrt45 - sqrt5
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4 sqrt5
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Simplify 9^1/3 * 81^1/3
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9
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Write the radical expression 8 / ^7sqrtx^15 in exponential form
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8x -15/7
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Kepler's Third Law of Orbital Motion states that you can approximate the period P (in Earth years) it takes a planet to complete one orbit of the sun using the function P = d^3/2, where d is the distance (in astronomical units, AU) from the planet to the sun. How many Earth years would it take for a planet that is 6.76 AU from the sun?
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17.58
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What is ^3sqrtx^3 / ^5sqrtx^2 in simplest form?
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x^3/5
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3 sqrtx + 3 = 15
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16
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sqrtx+1 = 4
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15
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Sqrt3x+4 = 4
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4
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(x+5)^2/3 = 4
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3 and -13
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Sqrtx+7 - x = 1
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2
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(x-2)^1/2 - (28-2x)^1/4 = 0
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6
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Sqrt3x+1 - Sqrtx+1 = 2
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8
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Sqrt3x = Sqrtx+6
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3
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(5x-4)^1/2 - x = 0
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1 , 4
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Sqrt3x+7 = x-1
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6
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What is the solution of the equation? Sqrtx+10 - 9 = -7
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-6
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What is the solution of the equation? 4(3-x)^4/3 -5 = 59
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-5 , 11
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The area of a circular trampoline is 108.94 square feet. What is the radius of the trampoline? Round to the nearest hundredth
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5.89 feet
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What is the solution of the equation? 5x = Sqrt10+15x
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1
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What is the solution of Sqrt5x+1 - Sqrtx = 5?
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x = 16