Solve for x.
x - 7 = 15
x = 22
Solve for x.
2x < 4
x < 2
Solve the system.
y = 7
x = 1
(1,7)
Find an expression for the nth term of the sequence.
1, 3, 5, 7, ...
2n - 1
Solve for P.
|P| = 6.725
P = 6.725 or -6.725
Solve for a.
2a + 9 = 3
a = -3
Solve for s.
13s - 4 > 22
s > 2
Solve the system.
y = x
y = 3
(3,3)
Find an expression for the nth term.
3, 6, 12, 24, ...
3(2)n
Solve for w.
|3w - 12| = 21
w = -3 or 11
Solve for t.
t - 2 = -t + 3
t = 5/2
Solve for k.
4k - (3 + 3k) > 2
k > 5
Solve.
y = x +1
y = -x +3
(1,2)
Write a recursive rule for the sequence.
100, -50, 25, -12.5, ...
a1=100; an+1=(-1/2)an
Solve for t.
|4t - 6| = |3t +9|
t = 15 or -3/7
Solve for p.
7p + 8 = 22 - 4p
p = 14/11
Solve for n.
4n + 3 < 6n + 8 - 2n
no solution
Solve.
3x - 2y = 7
y = 4x + 3/2
(-2 , -13/2)
Find the seventh term.
a1=1
a2=7
an=(an-1 - an-2)/2
a7 = 9/8
Explain why the following equation has only one solution.
|7x - 14| = 0
-0 = 0
Solve for y.
2/5 x - 9/10y + 1 = 4/3 x + 1/3 - y
y = -2/3 x - 20/3
Solve for c.
-1 < 45c + 2 < 92
-3/45 < c < 2
5y + 2x = 17
-1/5 x = 1/2 y - 1
They have the same slope, m=-2/5, but different intercepts (b1=17, b2=2)
Write a rule for the sequence.
1, 3, 6, 10, 15, ...
an = n(n+1)/2
OR
a1 = 1; an = n + an-1
Describe the solution to the inequality in terms of distances.
|x - a| < b
All solutions are no further than a units from b.