Show:
Operations with Integers
Order of Operations
Name That Property
Solving Equations and Inequalities
Grab Bag
100

-15 + 3 = ?

12

100

48 / 6 + 2 =?

10

100

4 + (3 + 9) = (4 + 3) + 9

Associative Property of Addition

100

u/4 = 6

u = 24

100

What does PEMDAS stand for?

P- Parenthesis

E- Exponents

MD- Multiplication/Division

AS- Addition/Subtraction

200

25 - (-14) = ?

39

200

(36 - 12) / (2 + 6) = ?

3

200

mn + 0 = mn

Identity Property of Addition

200

t - 7 < 3.4

t < 10.4

200

What is the rule we use for subtracting integers?

Keep - Change - Flip!

(Keep the first number the same, change subtraction to addition, flip the sign of the second number)

300

(-7) (50) = ?

-350

300

5(21 - 32) = ?

60

300

19 x 53 = 53 x 19

Commutative Property of Multiplication

300

13n + 42 = 81

n = 3

300

When writing the answer to an inequality, what three parts do you need to have?

Variable, inequality sign, and number value

400

(-51)/(-3) = ?

17

400

(9.8 + 2.2) / (7 - 5) = ?

6

400

8(x + 2) = 8x + 16

Distributive Property

400

-8m - 6 < 10

m > -2

400

What is the rule we use when solving inequalities that makes them different from equations?

When we multiply or divide by a negative, we flip the inequality sign!

500

Ethylene Glycol is a chemical that can be added to water to lower its freezing point, the temperature at which it freezes. The freezing point of solution A, which is 1 part ethylene glycol and one part water, is -12 degrees Celsius. The freezing point of solution B, which is 2 parts ethylene glycol and 2 parts water, is -36 degrees Celsius. Which solution has the lower freezing point, and how much lower is it?

Solution B has the lower freezing point, 24 degrees Celsius lower.

500

In basketball, players score points  by making free throws worth 1 point each, field goals worth 2 points each, and field goals worth 3 points each. A player scores 4 free throws, 7 two-point field goals, and 2 three-point field goals. How many points did the player score in total?

4(1) + 7(2) + 2(3) = 24 points.

500

(x + 5y) + 2 = x + (5y + 2)

Associative property of Addition

500

3x - 5 > 6x + 13

-6 > x  OR  x < -6

500

When solving equations and inequalities, what order do we undo the operations?

Undo addition/subtraction first, then multiplication/division.