math

(z^(1/2)+z^(3/2))^2 Expression is equivalent to expression above? assuming z (greater than or equal to) 0

z+2z^2+z^3

-2(x+2) = 6-ax Exactly one solution, a values?

-2

If f(x-2) = 3x+4 for all values of x, what is the value of f(-4)?

-2

4[6+2s]-27 (less than or equal to) -3 Describes solution to inequality?

-6 (less than or equal to) s (less than or equal to) 0

3 red fish : 4 blue fish >> each tank 46 fish in large tank : 5 fish in small tank What is the ration of blue fish in the small tank to the red fish in the large tank?

10 : 69

3+√6m-26 = m What is the sum of all the solutions to the above equation?

12

A store has five different lengths of extension cords for sale as shown in the table below. If the range of lengths of five cords is 7 feet, what is the greatest possible value of x? Cord Length 8 feet 11 feet 6 feet 7 feet x feet

13

mx-9x-3 = 4x+n If the equation has infinitely many solution, what is the value of m-n?

16

Random sample >> 1,500 resident aged 25 years or older, 399 residents had a bachelor's degree or higher. Entire country: 635,000 aged 25 years or older. Approximately how many county residents could be expected to have a bachelor's degree or higher?

164,000

The time in minutes, rounded to the nearest minute, that runners took to finish a 3-mile race show in the table to the left, If the mean finish was 21 minutes, what is the value of r in this table? Time in minute Number of runners 18 1 19 2 20 3 21 6 22 r 23 1 24 2

2

The random sample of 35 four passages vehicles had a mean gas, in mile per gallon (mpg), of 25.9 mpg. The estimate had a margin of error 2.6 mpg at a 98% confidence level. which of the following, which is the most plausible value for the true mean gas mileage of all four-door passages vehicle?

24

(2+√2)/(2-√2) Which of the following is = to the above expression?

3+2√2

3^(-1/5)*(1/3)^(-2/5) value = to value above?

3^(1/5)

4x+1 = -ax-4 Exactly one solution, value of a?

4

4(80+n) = (3k)n k= constant For what value of k are no solution?

4/3

84% of household live in the same house as previous year. Census have a margin of error of 1.5% at 90% confidence level. 500,000 household >> total of that country Estimates the # of household that live in the same house ad previous year?

41,250 and 42,750

-4+bx = 2x+3(x+1) Value of B, no solution?

5

-x = -6y-7 x-6y = k K result in a system of equations with infinitely many solutions?

7

∛64^27 Value = to the expression above?

8^18

3+10x-5 = (a+1)*x-2 a=constant For what values of a does the equation have infinitely many solutions?

9

9 < 15mx-8 < 27 What is the possible range of values of (8/3)-5mx?

Any value greater than -9 but less than -3

Can square roots distribute over the sums?

NO

Can you combine the terms under radical? Why?

No, they do not have the same variable part.

8-9(x+1) = ax+4 Value of a, one solution?

a = 8 a = 9

a(x^2) + 10x - 1 = 0 Which of the following inequalities represents all value of a for which the equation has two distinct real solution?

a > -25

One Solution Formula

ax+b = cx+d where a is not equal to c

(bd)^(1/4) * (b/d)^4 Which of the following expression is = to the expression about assuming d is nonzero?

b^(17/4) * d^(-15/4)

If the function g is defined by g(x) = (-x^2) + 3x +10, which of the following is g(2x+5)?

g(2x+5) = (-4x^2) - 14x

14+mx = 4nx-22 m & n = constants For what values of m and n does the equation have exactly one solution?

m = (1/4) & n = 1

What is Range?

the different between the greatest value and the least value

√(16x^2)(y^16)+(25x^16)(y^2) If x and y are positive, which of the following = to the above expression?

xy√(16y^14)+(25x^14)