Real Numbers and Properties
Real numbers fall into two categories. What are they?
Rational and Irrational Numbers
Simplify the expression below.
8 + 3^2 - |-5|
12
Translate the statement below.
"four less than three times a number"
3x - 4
Identify the first step to solve the equation below.
(x/-3) + 6 = -4
Subtract 6 from both sides of the equation.
Translate the statement below using an inequality symbol.
"Your grade must be at least 70 to pass this class."
g ge 70
Which set contains the value given:
sqrt60
A. irrational numbersB. natural numbers
C. rational numbers
D. integers
Irrational Numbers
Simplify the expression below.
2^3 - 3[(6^2-10)/2]
-31
Translate the statement below.
"Five times the difference of a number and 3 is 17."
5(n-3) = 17
Solve the equation below.
4x + 5 = -31
x = -9
Translate the statement below using an inequality symbol.
"A number is no more than 87."
x le 87
Which is the smallest set of real numbers that contains the value below?
-20/5
integers
Simplify the expression below.
[(3-13)^2 +14]/[4^2-5*2]
19
Simplify the expression below completely.
10-5(2x - 7)
45 - 10x
Solve the equation below.
3/4 x -7 = 5
x = 16
When would you use a closed circle when graphing an inequality?
when the number in the inequality is included in the solution;
when the inequality symbol has a line under it;
when the symbol if greater than or equal to OR less than or equal to
Which property justifies the statement below?
a(b + c) = ab + ac
distributive property
Evaluate the expression below if x = -1 and y = 3.
4x^2-y^2
-5
Simplify the expression below.
2x - 4y + 6 + 3x - 9y - 4
5x -13y + 2
14 -
14 - 1/9a = 17
a = -27
Solve the inequality below.
(d - 13)/-6 lt 3
d gt -5
Give an example of the symmetric property.
If a = b, then b = a.
Evaluate the expression below if a = 10 and b = -4.
|a| - |b|
6
Give the perimeter of the rectangle below in simplest form.
8x -10
I want to create a triangle that is seven less than twice the perimeter of the triangle below. Give an expression for the perimeter of the new triangle in simplest form.
14g + 9
Solve and graph the inequality.
5 - 2x gt -3
x lt 4