Algebra Two SOL Review

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The height of an object when projected upward can be described by the equation h=270t−4.9t2, where h is height and t is time. The relationship between the height of the object and the elapsed time is what type of polynomial.

A quadratic function

Which is equivalent to 3-√⋅-3 A) 3i B) 9i C) 9 D) -3i

A) 3i

Which is the solution set of∣12x−5∣=3?

(4,16)

Where does the graph of f(x)=(3x−5)(x+9) cross the x-axis?

(5/3,0)and(-9,0)

What is the zero of the function f(x)=12x+27?

-(9/4)

The domain of the function f(x)=(x+3)/(x^2+5x−24) is all real numbers except -

-8,3

How many values of x will satisfy the equation -2|3x-5|=0?

1

Two arithmetic means between 3 and 24 are -

10 and 17

The height of a right triangle is 5 units more than twice its base. If the area of the triangle is 21 square units, what is its height?

12 units

Twelve runners are in a cross country race. How many different ways can they finish first, second, and third?

1320

What is the 14th term of the arithmetic sequence with a first term of 7 and a common difference of 10?

137

What is the solution set for √x-2=4?

18

The length, s, (in feet) of the skid mark left by an automobile traveling at rr miles per hour can be approximated by the relation r= 2√5s If a car is going 80 miles per hour when the brakes are applied, about how many feet long would the skid mark be?

320

The number of permutations of 8 objects taken 3 at a time is

336

If temperature is constant, the volume of a gas varies inversely as its pressure. A gas with a pressure of 150 pounds per square inch occupies a volume of 25 cubic feet. What is the constant of proportionality for this variation?

3750

(6a+12)/a⋅(a^3)/(a+2)=?

6a^2

What type of function is f(x)=3(x-2)^2+1?

Quadratic

What is the solution to |2x−4|>8

x<-2 or x>6

What are the solutions to 4x−16=-2x^2?

x=-4 or x=2

What is the solution to x/2/(x+1)=4/3

x=-4/5

describe the end behavior of y=-x^2+bx+c as x approaches either positive or negative infinity?

y approaches negative infinity

(y=x2+6x+1, y=-2x−14) What is the solution set for the given system of equations?

{(-3, -8), (-5, -4)}

What is the simplified form of the following expression? 27^(4/3)

81

factor 6a^2+5ab−6b^2

(2a + 3b)

What is a factored form of 9x^2−25

(3x−5)(3x+5)

Given: f(x)=x^3−3x and g(x)=x^2−8 . What is f(10)−g(10)?

878

What is the solution to √5x−1=2?

9/5

If ss represents the length of one edge, the following formula may be used to determine the surface area of a cube. S.A.=6s^2 To the nearest tenth of a centimeter, what is the length of one edge of a cube with a surface area of 140 square centimeters?

4.8 cm

The width of a rectangular window is 2 feet more than its height. If the area is 35 square feet, what is the height?

5 ft

What are the solutions to x^2−12x+16=0?

6±√25

What is the sum of the first 20 terms of the arithmetic sequence shown? 1/3,2/3,1,4/3,5/3,...

70

What is the solution to the equation? (x+4)/x = 37

x=-7

What is the solution of |x|=7

x=-7 or x=7

What is the solution set for √(x-6) + 5 = 8

x=15

Given: f(x)=log(x−16)+15 What is the equation of an asymptote of the graph of the given function?

x=16

What is the solution to √(x+16)=√(3x)?

x=2

If |-6x+11|=4 then -

x=76 or x=52

Which is the solution set for x^2−4x=8x?

{2±2√3}

What is the domain of g(x)=log(x−1)?

{x∣x>1}

Solve √ (2m^2−10)−4=4

{√-37,√37}


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