Number Classification
This subset of real numbers includes all positive counting numbers starting from 1, excluding zero, fractions, and decimals.
Natural Numbers
Solve:
x/5 - 7 = 4
x = 55
Solve 3(x - 5) = 5(x - 3)
No solution
If x represents the first integer, this algebraic expression represents the sum of three consecutive integers.
x + x + 1 + x + 2
The variable expression for the total cost at Gym A, which charges a $100 sign-up fee plus $40 per month.
40x + 100
The number 7 belongs to these specific sub-sets of the real number system.
Integers, Rational Numbers
Solve -4x + 12 = -20
x = 8
Solve: 2(2x + 3) + 5x - 4 = 29
x = 3
If x represents the first odd integer, these algebraic expressions represent the next two consecutive odd integers.
x + x + 2 + x + 4
The variable expression for the total cost at Gym B, which charges a $50 sign-up fee plus $45 per month.
50 + 45x
The result obtained when subtracting an irrational number from a rational number always yields this type of number.
irrational
Solve -6x - 5 = -8
x = 1/2
Solve:
10( 0.2x - 0.5) = 5(0.4x - 1)
Inf Solutions!!
The three consecutive integers whose sum is 210.
69, 70, 71
The equation set up to find after how many months the total cost of Gym A and Gym B will be equal.
Gym A charges a $100 sign-up fee plus $40 per month, and Gym B charges a $50 sign-up fee plus $45 per month.
100 + 40x = 50 + 45x
From the set
sqrt49, sqrt12, -5, sqrt25
, this is the only number that is **not** rational.
sqrt12
-3(x + 2) - 2(x - 5) = -31
x = 7
Solve:
(2(x - 5))/3 - 3 = 1
x = 11
The three consecutive odd integers whose sum is 153.
49, 51, 53
The number of months after which the total cost for Gym A and Gym B will be exactly equal.
x = 10 months
Given Set A = {-6, -3, 0, 2, 5, 8, 11, 14, 17, 20}, which elements belong to both Set B = {even numbers}$ AND Set C ={numbers greater than 5}.
8, 14, 20
Solve:
(3(x-8))/2 = -18
x = -4
Solve: 4(x + 5) - 7 = 3(x - 2)
x = -19
If the sum of three consecutive even integers is 162, this is the value of the largest integer.
56
The total cost paid at either gym when the two membership plans cost the same amount.
$500