Write 2 log_{3} x + log_{3} 5 as a single logarithmic expression.
Factor the algebraic expression 6x^{2} - 21 x y + 8 x z - 28 y z.
Solution on Video
Factor the algebraic expression (x - 1)^{2} - (y - 2)^{2}.
Solution on Video
Factor the algebraic expression x^{2} - z^{4}.
Evaluate the algebraic expression |-2 x - y + 3| for x = 3 and y = 5
Simplify the algebraic expression -2(x - 3) + 4(-2 x + 8)
Expand and simplify the algebraic expression (x + 3)(x - 3) - (-x - 9)
Which property is used to write a(x + y) = a x + a y
Simplify ( 8 x^{3} ) / ( 2 x^{-3})
Simplify (-a^{2}b^{3})^{2}(c^{2})^{0}
For what value of k is the point (-2, k) on the line with equation -3 x + 3 y = 4?
For what value of a will the system given below have no solutions?
2 x + 6 y = -2
-3 x + a y = 4
Which equation best describes the relationship between x and y in this table?
x
y
0
-4
4
-20
-4
12
8
-36
A) y = - x/4 - 4
B) y = - x/4 + 4
C) y = - 4x - 4
D) y = - 4x + 4
Which equation best represents the area of the rectangle below?
.
A) area = 2(x+1) + 2(x-1)
B) area = 4(x+1)(x-1)
C) area = 2x^{2}
D) area = x^{2} - 1
Which line given by its equation below contains the points (1, -1) and (3, 5)?
A) -2y -6x = 0
B) 2y = 6x - 8
C) y = 3x + 4
D) y = -3x + 4
Solve the equation 2|3x - 2| - 3 = 7.
Solve for x the equation (1/2)x^{2} + mx - 2 = 0.
For what values of k the equation -x^{2} + 2kx - 4 = 0 has one real solution?
For what values of b the equation x^{2} - 4x + 4b = 0 has two real solutions?
Function f is described by the equation f (x) = -x^{2} + 7. What is the set of values of f(x) corresponding to the set for the independent variable x given by {1, 5, 7, 12}?
Find the length and width of a rectangle whose perimeter is equal to 160 cm and its length is equal to triple its width.
Simplify: |- x| + |3 x| - |- 2 x| + 3|x|
If (x^{2} - y^{2}) = 10 and (x + y) = 2, find x and y.
Answers to the Above Questions
0 , 1 , -1 are all equal to their respective cubes.