Math Properties
5 = 5
Reflexive Property of Equality
True or False? You may distribute through an absolute value symbol
false
True or False |x| < 7 has a finite number of integer solutions. Explain.
True, {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}
Solve 8x - 6 > 10
(x|x > 2}
Find the value of the expression 18 plus 6 divided by 3
20
3+2=2+3
Commutative property of addition
Evaluate if x = 2 and y = -3
|-3x - 2y| - 4
-4
Solve the inequality |5 + k| < 8
{k|-13 < k < 3}
Solve the inequality 23 - 4x < 11
{x|x > 3}
Evaluate the expression if b = 0.5 and c = -3:
6b - 5c
18
9x + 0 = 9x
Identity Property of Addition
Solve 3|x + 5| = 9
{-2, -8}
Solve the inequality
x + 5 < 3 or -x < 4
all real numbers
Write an inequality, then solve.
Twenty less than a number is more than twice the same number
n - 20 > 2n; n < -20
Solve the equation -2a/3 = 14
-21
If 8x = 4 then 8x + 4 = 4 + 4
Addition Property of Equality
Solve 3|x| + 10 = 9
no solution
Solve the inequality (answer is set-builder notation)
|2y-9| > 27
{y|y < -9 or y > 18}
Solve (answer in set-builder notation)
3(6-5a) < 12a - 36.
{a|a > 2}
Solve A = h/2(a + b) for a
a = 2A/h - b
7/4 x 4/7 = 1
Inverse Property of Multiplication
Solve 2|4 - n| = -3n
{-8}
Solve the inequality (answer in set-builder notation)
-12 < 7d - 5 < 9
{d|-1 < d < 2}
Solve (answer in set-builder notation)
5(3x-5) + x < 2(4x-1) + 1
{x|x < 3}
Solve the equation
5m - (5 + 4m) = (3 + m) - 8
all real numbers