The Real Number System
Rational or Irrational?
5
Rational
DOUBLE POINTS FOR NATURAL NUMBER
Wyatt scored 104 points in a trivia game. He correctly answered 26 questions during the game. How many points did he score per question?
4 points per question
a number n plus forty-nine
n+49
2x + 4x
6x
z + 6 = 10
z = 4
Rational or irrational?
-4
Rational
DOUBLE POINTS FOR INTEGER
Jillian is about to go on a road trip. She puts 14 gallons of gas in her car. She pays $31.36 for the gas. How much does the gas cost per gallon?
$2.24 per gallon
a number b divided by thirty-six
b/36
2(5d - 2)
10d - 4
b - 12 = 20
b = 32
Rational or Irrational?
√9
Rational
DOUBLE POINTS FOR PERFECT SQUARE
Kaden is making loaves of banana bread. He makes 4 loaves of banana bread, and he uses 9 cups of flour in all. How much flour does he use per loaf?
2.25 cups of flour per loaf
sixty-six subtracted from a number p
p-66
8y - 2z + y - 7z
9y - 9z
y / 9 = 10
y = 90
Rational or Irrational?
√7
Irrational
DOUBLE POINTS FOR RADICAL
At Grab & Go Grocery, you can buy 4 yogurt cups for $5. If the unit price stays the same, how much would it cost to buy 10 yogurt cups?
$12.50
a number j multiplied by fifty-six
56j or 56 x j
(18q + 24r)/6
3q + 4r
17 - q = 6
q = 11
Rational or irrational?
3.14159...
Irrational
DOUBLE POINTS FOR RECOGNIZING PI
Jeremiah wants to send some of his shirts to a dry cleaner. He usually takes his shirts to Spot-Less Dry Cleaners, where he pays $4.50 per shirt. He sees a sign at No Mess or Stress Dry Cleaners that says it's $21.00 to have 4 shirts cleaned. Which is the better deal?
Spot-Less Dry Cleaners ($4.50) is cheaper than No Mess or Stress Dry Cleaners ($5.25)
a number v to the power of sixty-five
v65
a + b + c + a + b + c
2a + 2b + 2c
7x + 13 = 27
x = 2