Factoring
Factor out the Greatest Common Factor:
6x - 9
3(2x - 3)
Simplify:
(a2)(a3)
a5
Solve for x in terms of y:
y= x + 14
x = y - 14
Solve for all values of x:
|x + 1| = 4
3 and -5
What property is being shown below:
a + b = b + a
Commutative Property
Factor the difference of perfect squares:
x2 - 100
(x + 10)(x - 10)
Simplify:
y0
1
Solve for b in terms of a:
2a + 2b = 10
b = 5 - a
Solve for all values of x:
|x - 9| = 9
0 and 18
What is the value of x at any y-intercept?
Zero
Factor completely:
x2 + 7x + 10
(x + 5)(x + 2)
Simplify:
(x4)3
x12
The equation of a line is y = mx + b. Solve this equation for m in terms of b, x, and y.
m = (y - b)/x
Solve for all values of x:
|x + 7| + 5 = 10
-12 and -2
If a number cannot be written as a fraction, what kind of number is that?
Irrational Number
Factor completely:
x2 - 2x + 1
(x - 1)(x - 1)
or
(x - 1)2
Simplify using positive exponents only:
x-2y4
y4/x2
The perimeter of a rectangle is determined by the equation P = 2L + 2W. Solve for W in terms of L and P.
W = (P - 2L)/2
Solve for all values of x:
|3x + 18| = 30
-16 and 4
Identify the leading coefficient in the algebraic expression:
3x2 + 5x4 - 12x3 + 19
5
Factor completely:
2x2 + 8x + 6
2(x + 3)(x + 1)
(3x7y4)2
9x14y8
The Pythagorean Theorem is shown as a2 + b2 = c2. Determine the value of a in terms of b and c.
a = (c2 - b2)1/2 or sqrt(c2 - b2)
Solve for all values of x:
|2x + 7| - 11 = 20
Fill in the blank: (3/2) is the _________ of (2/3) because the numerator and denominator have been switched.
Reciprocal