3x - 5 = 16
x = 7
7(22+6)
70
Diamond Problem #1
Top: -36
Bottom: -5
What is the pattern?
60, 90, 120, 150, 180
+30
Evaluate the expression:
3x - 6 if x = 4
6
(x + 3)/7 = 9
60
(5(7) - 4)2
961
Diamond Problem #2
Top: -20
Right: -10
What are the next two terms?
4096, 512, 64, ____, ____
8, 1
If f(x)= x2 + 7, compute the following values.
f(-3) and f(2)
f(-3)= 16
f(2)= 11
x/3 - 5 = 12
51
21 - 3(6)
3
Diamond Problem #3
Is this table arithmetic, geometric, or neither? Justify your answer.
Arithmetic, the pattern is subtracting 4
Translate the expression:
The sum of twice a number and 20
2x+ 20
8/b = 4/6
b = 12
4(3 + 33) - 12
108
Diamond Problem #4
Left: -10
Bottom: -11
Is this table arithmetic, geometric, or neither? Justify your answer.
Geometric, multiplying by 2
Simplify:
3x(4x - 6)
2x - 6 = 5(x - 3)
x = 3
-7(2 + 23) - 4
-74
Diamond Problem #5
Sides: -11 and -9
Is this sequence arithmetic, geometric, or neither? Justify your answer.
4, -12, 36, -108, 324
Geometric, the pattern is multiplying by -3
Solve the inequality:
-4x + 6 > 30
x < -6