Subtract
Line Segments
Distance
Conjectures and Counterexamples
Statements, Conditionals, and
Biconditionals
100

3 − 7

 -4

100

35 + x = 90

55

100

2x − 60 = 30

45

100

32 = 9  52 = 25  112 = 121  172 = 289

The square of an odd number is an odd number.

100

If an object is red, then it is not blue.

true

200

8 − ( − 2)

10

200

x − 34 = 146

180

200

180 + 5x = 360 − 4x

20

200

42 = 16  82 = 64  142 = 196  202 = 400

The square of an even number is an even number.

200

If an object is not red, then it is not blue.

 false

300

15 − ( − 18)

33

300

3x = 180

60

300

(x + 6) + 3x = 90

21

300

2 + 5 = 7  15 + 4 = 19  22 + 13 = 35  14 + 37 = 51

The sum of an odd number and an even number is an odd number.

300

If an object is not blue, then it is not red.

false

400

37 − 48

-11

400

-x/3=17

-51

400

(3x + 1) + (2x − 6) = 180

37

400

5 × 10 = 50  13 × 10 = 130 
18 × 10 = 180  23 × 10 = 230

The product of any number and 10 is a number that
ends in zero.

400

If an object is blue, then it is not red.

true

500

WEATHER At 7 P.M., the temperature was 4°C. By 8 P.M., it had
increased 2°C. By 9 P.M., it had decreased 1°C. By 10 P.M., it had
decreased 15°C. What was the temperature at 10 P.M.?

-10 degrees celsius

500

GEOGRAPHY Russia, the largest country in the
world in terms of area, occupies 6,592,800 square
miles. The difference in area between Russia and
Canada is 2,740,991 square miles. Write and solve
an equation to find the area of Canada.

x + 2,740,991 = 6,592,800; 3,851,809 mi2


500

WEIGHTS The difference between the weight of
3 gallons of liquid and 5-pound brick is 19 pounds.
Write an equation to represent this situation. What
is the weight of 1 gallon of the liquid?

3g −5 = 19; 8 lb

500

12→1 + 2 = 3   24→2 + 4 = 6 
36→3 + 6 = 9  132→1 + 3 + 2 = 6

If the sum of the digits of a number is divisible by 3,
then the original number is divisible by 3.

500

Rewrite this statement as a true if-then statement.
An even number is divisible by 2.

If a number is even, then it is divisible by 2. If a
number is divisible by 2, then it is even.