Inductive Reasoning
Arriving at a _____ conclusion from ______ examples.
General, Specific
Arriving at a _______ conclusion from _______ examples.
Specific, General
Round 47 to the nearest ten.
50
The process of arriving at an approximate answer to a computation is called an __________.
estimation
A restaurant charges a base fee of $50 for reserving a party room and an additional $15 per guest for catering. The cost model is C = 50 + 15g where C is total cost and g is number of guests.
If there are 8 guests, what is the total cost?
$170
Identify a pattern and then use this pattern to find the next number.
a. 3, 12, 21, 30, 39, _____
Adding 9.
48
The sum of two numbers is 15. One of the numbers is 7. What is the other number?
8
Round 3,482 to the nearest hundred.
3,500
Decimal numbers are rounded by using the digit to the right of the digit where rounding is to occur. True or False?
True
A construction company is stacking bricks to build a wall. They start with a base layer of 50 bricks and add 30 bricks for each additional layer. The model is B = 50 +30L, where B is the total number of bricks, and L is the number of additional layers.
If there are 8 additional layers, how many bricks are used in total?
290 bricks
The first five terms of a sequence are: 3, 6, 12, 24, 48. What is the pattern and what is the next term in the sequence?
Multiplying by 2.
96
If 5x - 7 = 18, what is the value of x?
x = 5
Round 6.378 to the nearest tenth.
6.4
Line graphs are often used to illustrate trends over time. True or False?
True
A construction company rents a piece of equipment with the following cost model: C = 100 + 40d, where "C" is the total cost and "d" is the number of days the equipment has been rented. If the total cost was $500, how many days was the equipment rented for?
10 days
Identify a pattern and then use that pattern to find the next number in the sequence.
3, 12, 48, 192, 768, ____
Multiplying by 4.
3072
Each of the first four terms of a sequence increases by 3: 2, 5, 8, 11. What is the 7th term in the sequence?
20
Round 0.004567 to the nearest thousandth.
0.005
This graph shows how quantities are divided into parts.
Circle graph or pie chart
A construction company rents a piece of equipment with the following cost model: C = 100 + 40d, where "C" is the total cost and "d" is the number of days the equipment has been rented.
What is the total cost for renting the equipment for 5 days?
$300
The first five terms of a sequence are: 1, 4, 9, 16, 25. Identify the pattern and determine the next term in the sequence.
1^2, 2^2, 3^2, 4^2, 5^2
6^2 = 36
The sum of the angles of a triangle is 180°. You are given an isosceles triangle with base angles of 50°. You use the theorem about the sum of the angles to solve for the missing angle. Which type of reasoning is this?
Deductive reasoning
Round 432,583,432,879 to the nearest hundred million.
432,600,000,000
Bar graphs can be used to make __________.
Make a mathematical model for this scenario: Mrs. Drennen went to look into renting tuxedos for her wedding. She learned that the total cost for a tux would be determined by the number of men who need to rent one. She knows there is a $25 rental fee for each groomsmen, and the base price starts at $75.
C = 75 + 25n