Order of Operations
Evaluate 2x2 − x/y if x = 1.5 and y = 3
4
Solve:
–6(n – 8) = 4(12 – 5n) + 14n
All Real Numbers
Solve –3(5y – 4) ≥ 17 and express the solution using interval notation.
(-inf, -4] U (10, inf)
2|3x – 5|= 14
{-2/3, 4}
Name the sets of numbers to which 0 belongs.
W - Whole Numbers
Z - Integers
Q - Rational Numbers
R - Real Numbers
Evaluate (x3 - y3) / [-1(x2 + 2y2)] if x = 4 and y = –2
-3
5x + 2 = 3x + 24
x = 11
Solve 33/4≤ 3w + 9 < 12 and express the solution using interval notation.
[-1/4, 1)
|y – 8| + 7 = 3
No Solution
Name the property illustrated:
–ab + 0 = –ab
Additive Identity
(n − v)2 + 3v3 if n = 5 and v = –2
25
6y – 5 = –3(2y + 1)
y = 1/6
Solve 2(x + 3) ≤ 54 and express the solution using interval notation.
(-inf, 24]
Solve:
4|x – 2| = 24
{-4, 8}
Name the sets of numbers to which 10/2 belongs.
N - Natural Numbers
W - Whole Numbers
Z - Integers
Q - Rational Numbers
R - Real Numbers
Evaluate (5a − b2) / 3c if a = 4, b = 3, and c = 2
11/6 or 1 5/6
5/6c +3/4 = 11/12
c = 1/5
Solve 3(4x – 2) ≥ 7x + 19 and express the solution in set-notation.
{x|x≥5}
Solve |3w – 7| ≤ 2 and express the solution using interval notation.
[5/3, 3]
Name the property illustrated:
(5/11)(2 1/5) = 1
Multiplicative Inverse
Evaluate - |b + 2a| + |-3 - a| - |b/2| if a = 3.5 and b = –10
-1.5
Solve for a:
A = 1/2h(a + b)
a = 2A/h - b
Solve 7v + 6 ≤ –22 or 11 – v < 19 and express the solution using interval notation.
(-inf, inf)
Solve |x – 3| > 5 and express the solution using set-builder notation.
{x|x<-2 or x>8}
Name the property illustrated:
[(3c)(6)]2 = 3c[(6)(2)]
Associative Property of Multiplication