SOLVING EQUATIONS
SOLVE FOR y.
3(2 + y) - y = 4 + 2(y + 1)
Infinite solutions
Let f(x) = x2 + 5 and g(x) = x - 6.
Find f(2).
f(2) = 9
WHAT ARE THE THREE METHODS OF SOLVING A SYSTEM OF LINEAR EQUATIONS?
GRAPHING, SUBSTITUTION, AND ADDITION (OR ELIMINATION)
Simplify the complex fraction below:
2/3 ÷ 4
1/6
Factor: a2m2 - 3a2 + 7m2 - 21
(m2 - 3)(a2 + 7)
SOLVE FOR x.
|2x - 1| = 10
x = -9/2, 11/2
Let f(x) = x2 + 5 and g(x) = x - 6.
Find g(b).
g(b) = b - 6
Solve the system below:
2x + y = 7
4x - 6y = 6
(3,1)
Divide using long division:
(4x2 + 9x2 - 10x - 6) ÷ (4x + 1)
x2 + 2x - 3 + (-3 / 4x + 1)
-2a3(a + 2)(a - 2)
Solve for m.
m3 - 2m2 - 3m = 0
m = -1,0,3
Let f(x) = x2 + 5 and g(x) = x - 6.
Find (f - g)(1).
(f - g)(1) = 11
WHAT IS A CONSISTENT SYSTEM?
A SYSTEM THAT HAS ONLY ONE SOLUTION.
Solve the application problem.
A local hamburger shop sold a combined total of 714 hamburgers and cheeseburgers on Monday. There were 64 more cheeseburgers sold than hamburgers. How many of each were sold?
325 hamburgers and 389 cheeseburgers
Factor completely: 8x3 - y3
(2x - y)(4x2 + 2xy + y2)
Solve for x.
x - Sqrt(6x + 7) = 0
x = 7
Let f(x) = x2 + 5 and g(x) = x - 6.
Find f(b+1).
f(b+1) = b2 + 2b + 6
SOLVE THIS SYSTEM:
3x + 7y = 4
6x + 14y = 3
NO SOLUTION
Solve the inequality.
2x + 5 ≤ 3x - 7
x ≥ 12
[12, ∞]
Factor completely: 8x2y - 40xy + 50y
2y(2x - 5)(2x - 5)
Solve for x.
2x2 - 5x - 3 = 0
x = -1/2, 3
Let f(x) = x2 + 5 and g(x) = x - 6.
Find x when f(x) = 9.
x = 2, -2
SOLVE THIS SYSTEM:
2x + 3y = 1
6x + 9y = 3
Write the equation in slope intercept form. Also state the slope and y intercept. Finally, graph the equation.
3x + 2y = 8
y = -3/2x + 4
Slope = -3/2
y-intercept = (0, 4)
Factor completely: 2y4 - 9y2 - 5
(2y2 + 1)(y2 - 5)