Chapter 2
Combine Like Terms.
5s + 6(s - 3)
WORK
5s + 6s - 18
11s -18
Determine whether or not the given ordered pair is a solution.
x + 3y = 5; (1, 2)
Not a solution.
WORK
x + 3y = 5; (1, 2)
1 + 3 (2) = 5
1 + 6 = 5
7 = 5
Subtract.
(2x^2 - 3x + 5) - (x^2 + 4x - 7)
x^2 -7x + 12
WORK
2x^2 - 3x + 5 - x^2 - 4x + 7
x^2 -7x + 12
Find the GCF.
15x^2 * y, 25 x * z^2, 9y^2 * z^2
There is no GCF.
What is Maryland state bird?
Oriole
Solve for x:
2x - 6 = 1
WORK
2x = 7
2x/2 = 7/2
x = 7/2
Find the intercepts.
3x + 5y = 15
x -int (5, 0) y -int (0, 3)
WORK
3x + 5y = 15
x -int; y = 0
3x + 5(0) = 15
3x = 15
3x/3 = 15/3
x = 5
y -int; x = 0
3(0) + 5y = 15
5y = 15
y= 3
Evaluate.
2x^2 + 5x - 7 for x = 2
11
WORK
8 + 10 - 7 = 11
Factor out the GCF.
27x^3 - 36x^2
9x^2
WORK
9x^2(3x - 4)
What's Prince George Community College address?
301 Largo Rd, Largo MD 20774
Solve for x:
x/8 + 3/4 = -5/2
x = -26
WORK
8 * (x/8 + 3/4 = -5/2)
x + 6 = -20
x = -26
Find the slope.
(1, 5) and (-1, -1)
m = -3
WORK
(y2 - y1)/(x2 - x1)
(5 + 1)/(-1 - 1) = 6/-2 = -3
Use FOIL.
(3x + 5)(4x - 3)
12x^2 + 11x - 15
WORK
-12x^2 - 9x + 20x - 15 = 12x^2 + 11x - 15
Factor by grouping.
x^2 + y - xy - x
(x - y)(x - 1)
WORK
x^2 + y - xy - x
(x^2 - x) + ( y - xy)
x(x - 1) - y(-1 + x)
(x - y)(x - 1)
Solve for x:
2(5x - 1) = 3(x + 11)
x = 5
WORK
2(5x - 1) = 3(x + 11)
10x - 2 = 3x + 33 [Distribute]
10x - 3x - 2 = 3x - 3x + 33
7x - 2 + 2 = 33 + 2
7x/7 = 35/7
x = 5
Solve for h:
A = 1/2*h*(b + c); A = 30, b = 8, c = 7
h = 4
WORK
30 = h/2*(8 + 7)
30 = h/2*(15)
30 = 15h/2
60 = 15h
60/15 = 15h/15
h = 4
Find the slope.
2x - 3y + 4 = 0
m = 2/3
WORK
2x - 3y + 4 = 0
2x - 3y = -4
-3y = -2x - 4
y = 2/3x + 4/3
m = 2/3
Use special products method.
(3p - 5)^2
9p^2 - 30p + 25
WORK
(3p - 5)(3p - 5)
9p^2 - 15p - 15p + 25
9p^2 - 30p + 25
Factor.
x^2 + 2x - 15
(x + 5)(x - 3)
Solve the equation.
(x + 4)(3x - 5) = 0
x = -4; x = 5/3
WORK
x + 4 = 0; x = -4
3x - 5 = 0; x = 5/3
Solve the inequality and graph the solution.
3x < 4(x - 1) + 1
x > 3
WORK
3x < 4(x - 1) + 1
3x < 4x - 4 + 1
3x < 4x - 3
-x < -3
-x/-1 < -3/-1
x > 3
Find the equation of a line.
Slope = 0; y -int (0, -1/2)
y = -1/2
WORK
y = mx + b
y = 0 * 0 + (-1/2)
y = -1/2
Evaluate
3^-5
1/243
WORK
3^-5 = 1/3^5 = 1/243
Factor.
12x^2 + 13x - 14
(3x - 2)(4x + 7)
WORK
x^2 + 13x - 168
(x - 8)(x + 21)
(x - 8/12)(x + 21/12) = (x - 2/3)(x + 7/4)
(3x - 2)(4x + 7)
What's the three branches of government?
Judicial, Executive, Legislative