Algebra 2 Part B
What is the solution of Sqrt5x+1 - Sqrtx = 5?
x = 16
Write the expression in radical form x^1/5
^5sqrtx
(5x-4)^1/2 - x = 0
1 , 4
What is the value of log5 25?
2
The area of a circular trampoline is 108.94 square feet. What is the radius of the trampoline? Round to the nearest hundredth
5.89 feet
What is a simpler form of the radical expression? 3 square root 125x^21y^24
5x^7y^8
Solve the system by substitution 2x + y = -11 3x - 4y = 11
(-3, -5)
Write the radical expression 8 / ^7sqrtx^15 in exponential form
8x -15/7
Sqrtx+7 - x = 1
2
Sqrt3x = Sqrtx+6
3
Simplify the number (-32)^6/5
64
sqrtx+1 = 4
15
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?
17.58
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?
3 sqrt10 units
What is ^3sqrtx^3 / ^5sqrtx^2 in simplest form?
x^3/5
If a polynomial equation P(x) = 0 has 3 + 4i as a solution, what other solution must it have?
3 - 4i
Simplify the number 15^1.5
64
Solve x^2 - 121 = 0
D. 11, -11
How is the expression log32 - log 8 written as a single logarithm?
log 4
Find all the real cube roots of -0.000125
-0.05
Solve the system by graphing -3x - y = -10 4x - 4y = 8
(3, 1)
Which expression gives the solutions of -5 + 2x^2 = -6x?
C. -6 +- Square root 36 - (4) (2) (-5) / 4
Sqrt3x+1 - Sqrtx+1 = 2
8
Solve by factoring n^2 + 2n - 24 = 0
C. -6, 4
Solve the system using elimination 2x + 6y = -12 5x - 5y = 10
(0, -2)
Simplify the expression (-3)^1/3(-3)^1/3(-3)1/3
-3
How can you write the expression with a rationalized denominator? sqrt3 - sqrt6 / sqrt3 + sqrt6
-3 + 2 sqrt2
Find all the real fourth roots of 256/2401
-4/7 and 4/7
Write the expression in radical form t^-3/4
1 / ^4sqrt^3
(32)^-4/5
1/16
(x-2)^1/2 - (28-2x)^1/4 = 0
6
Sqrt3x+7 = x-1
6
What is a simpler form of the radial expression? sqrt36g^6
6 Ig^3I
What is a simpler form of the radical expression? Square root 36g^6
6 Ig^3I
Simplify 9^1/3 * 81^1/3
9
What type of situation could be represented by the function f(x) = 2(0.94)^x?
A population declining at a rate of 6%
-5y - 9 = -(y-1)
B. -2 1/2
Which graph represents the function y= -2x^2-5?
D. (below -4 and facing down)
What is the value of the expression when c= -5 and d= 2? 45c + 28d
D. -169
Find all the real square roots of -9/16
No real root
Which of the following binomials is a factor of x^3 + 4x^2 + x - 6?
x + 2
What is the simplest form of the quotient? Simplify by rationalizing the denominator. square root 3x^12y^10 / square root 5x^6y^3
x^3y^3 square root 15y / 5
Find the product sqrt5 * ^3sqrt5
5 5/6
A garden has a width sqrt13 and length 7sqrt13. What is the perimeter of the garden in simplest radical form?
16sqrt13 units
What is the product of the radical expression? (7-sqrt7)(-6 + sqrt7)
-49 + 13 sqrt7
What is the solution of the equation? 4(3-x)^4/3 -5 = 59
-5 , 11
What is the simplest form of the expression? 3 square root 24a^10b^6
2a^3b^2 3 square root 3a
What is the simplest form of the product? 3 square root 4x^2 * 3 square root 8x^7
2x^3 * 3 square root 4
What is the simplest form of the quotient? 4 square root 820/ 4 square root 2
3 4 square root 5
Which of the following is a simpler form of the radical expression? Square root 27x^4/75y^2
3x^2/5y
What is the simplest form of the expression? sqrt20 + sqrt45 - sqrt5
4 sqrt5
Multiply and simplify if possible 4 square root 11 * 4 square root 10
4 square root 110
What is the solution of the equation? Sqrtx+10 - 9 = -7
-6
What is the value of f(x) = 2(0.75)^x when x = 3
0.8444
Which expression is a cubic polynomai?
B. x^3 - 1
How many real solutions are there for 5x^2 + 7x + 2?
C. 2
What is the factored form of the polynomial P(x) shown here?
C. P(x) = (x+5) (x+2) (x)
Solve the equation 3y+20= 3 + 2y
D. -17
What is the solution of the equation? 5x = Sqrt10+15x
1
Which system of inequalities is represented on this graph?
y < x-1 y ≤ -2x + 2
What is the simplest form of the expression? ^3sqrt750 + ^3sqrt2058 - ^3sqrt48
10 ^3sqrt6
What is the simplest form of the radical expression? 4 ^4sqrt2x + 6 ^4sqrt2x
10 ^4sqrt2x
3 sqrtx + 3 = 15
16
(x+5)^2/3 = 4
3 and -13
Simplify the number 8^2/3
4
Sqrt3x+4 = 4
4
Simplify the expression 49 1/2
7
Is the following inequality sometimes, always, or never true? 2(8x-4) -2x ≤ 14x + 12
Always true
Write the expression in exponential form (^3 sqrt a)^2
a^2/3
