2.5
Solve by using the square root property
x2 = 81
x = -9 , 9
Solve the rational exponent equation
(x + 2) 2/3 = 16
x = -66, 62
Solve the inequality. Write your final answer in interval notation
5x + 2 ≥ 7x + 3
( - ∞, - 1/2]
Evalute the function f at the indicated balues
f(x) = 3x + 4
f(2)=
10
Does the following values represent a function
(a, b), ( b, b), ( c, b)
Yes a function
Solve by factoring
x2 + x - 30 = 0
x = -6, 5
Solve the polynomial equation by grouping and factoring
3x3 + 3x2 - 27x - 27 = 0
x = -3, 3, -1
Describe all the x-values within or including the distance of the given value
Distance of 10 units from the number 9
-10 ≤ | x - 9 | ≤ 10
[ -1, 19]
Determine whether the relation represents y as a function of x
y = ± √1−x
y equals plus/minus square root of 1 minus x
Not a function
A basic cell package costs $15/ month for 50 minutes of colling with an additional charge of $0.50/minute beyond that time. The cost formula could be C = $15 + 0.50( x - 50 ). If you have to keep your bill no higher than $50, what is the maximum calling minutes you can use?
120 minutes
Solve the quadratic equation by using the square root property
(2x + 3)2 = 9
x = 0, -3
Solve the equation involving absolute value
|1 - 3x| + 4 = 8
x = 5/3, -1
Solve the inequality. Write your final answer in interval notation
((x + 3) / 8) - ((x + 3)/ 7) > 11/14
( - ∞, - 47)
For the following exercise, find the domain of the function using interval notation
f(x) = -3x(x + 3)(x - 1)
( - ∞, ∞)
Solve for the unknown variable
x-2 + 2x-1 - 3 = 0x = -1/3 or 1
State how many solutions there are based on the discriminant
3x2 - x + 3 = 0
Two imaginary solutions
√12−x = x
Square root of 12 - x equals x
x = 3
Write the interval in set- builder notation
( - ∞, - 8)
x < - 8
For the following exercise, find the domain of the function using interval notation
f(x) = 1/ x2 + x - 12
( - ∞, - 4) U ( - 4, 3) U ( 3, ∞)
Find the domain of the function using interval notation
f(x) = (√x - 2)/ (√x -3)
Square root of x minus 2 divided by square root of x minus 3
(3, ∞)
Solve the quadratic equation by using the quadratic formula
5 - 2/x - 1/x^2 = 0
(1 + √6)/5 , (1 - √6)/5
Solve for the unknown variable
|x2 + 3x - 25| = 15
x = -8, -5, 5, 2
Solve
| 3x + 1 | = | 2x + 2 |
x = -3/5 and 1
Write the domain for the piecewise function in interval notation
2x - 1 for x ≤ -2
-4x2 for x ≥ -1
( - ∞, -2] U [ - 1, ∞)
Solve the quadratic equation by completing the square
2x2 - 4x + 1 = 0
(2 + √2)/2 , (2 - √2)/2