System of Equations
Solve for solution:
7x - 12 = -4y
12 = -4y - x
(4, -4)
Write Standard form of the equation:
y + 3 = (-5/4)(x-4)
5x + 4y = 8
Evaluate h(2)
h(a) = a2 - (5/4)
(11/4)
Find the inequality:
c - 3 > 2c or (c/3) > 1
(- inf, -3) (3, inf)
The smaller of two consecutive even integers is five more than one half of the greater
x = (1/2)(x+2) + 5
Solve using Addition Method:
4x + 4y = -8
2x + 9y = -18
(0, -2)
Find an equation in standard form:
Passing through the points (-4, 8) and (-9, 6)
2x - 5y = -48
Evaluate k(1/6):
k(x) = x3 +(1/2)x2
(1/54)
Solve:
7 + 5|c| < 1 - 3|c|
no solution
Jims weekly pay is two thirds of Alicia's. Together they earn $600 per week. What is each person's weekly pay?
A = $360 J = $240
Solve using Subtraction method:
7x + 2y = 15
-x - y = 0
(3, -3)
Find an equation in standard form:
Through point (5, 1) that is perpendicular to the line x = 4
0x + y = 1
g(x) = |x - (1/2)|
Find g(7/4x)
|(7x - 2)/4|
(1/2)|d| + 5 > 2|d| - 13
(-12 to 12)
Find the measure of the angles of an isosceles triangle if the measure of the vertex angle is 40 less than the sum of the measure of the base angles.
55
Solve by graphing:
y = -4
8x + 2y = -24
(-2, -4)
Find an equation in standard form:
Through Q(-3, 2) and parallel to the line containing (2, 3) and (1, -2)
5x - y = -17
f(x) = 4 - x2
g(x) = |2x - 7|
find:
a. f(g(2))
b. g(f(2))
b = 7
DAILY DOUBLE: Solve the proof for double points! If c ≠ 0 and ca = cb then a = b
1. c ≠ 0 and ca = cb
2. (1/c) is a real number
3. (1/c)(ca) = (1/c)(cb)
4. ((1/c) * c)a = ((1/c) * c)b
5. 1 * a = 1 * b
6. ∴ a = b
1. Given
2. Prop of recip
3. mult prop of eq.
4. Assoc prop of mult
5. prop of recip
6. identity prop of mult.
The cost of printing the school newspaper is $500 for $800 copies and $620 for 1200 copies. If the printing cost is a linear function of the copies printed, find the cost of printing 1500 copies.
$710
Solve for the system using substitution method:
2(y - x) = 5 + 2x
2(y + x) = 5 - 2y
((-1/2), (3/2))
Find the point-slope form of the equation:
through point: (-2, -5)
Perpendicular to: y + (1/3)x = -5
y + 5 = 3(x+2)
find and simplify f(g(4)):
f(x) = (2x+1)/(x-1)
g(x) = (x+1)/(x-2)
Graph:
y + 3 > -6x
y + x < 2
Solution around quadrant 4
dotted lines
Fifteen days after Alan began a diet he weighed 176 lb. After 45 days he weighed 170 lb.
a. How much did he weigh at the beginning of the diet?
b. At this rate, when will he weigh 165 lb?
a. 179 lb
b. 165 lb