Study Guide: Unit 2A (Adding and Subtracting Integers)

LT 1. I can define the following vocabulary words: Opposites, Additive Inverse, Additive Inverse Property, Absolute Value, Integers, Rational Numbers, Sum, and Difference)

1.) The number in the set of real numbers that when added to a given number will yield zero. ______

2.) A number that can be expressed as a ratio of two integers. ______

3.) Two numbers that have the same magnitude but are opposite in signs. ______

4.) The set of whole numbers and their opposites. ______

5.) The number plus the additive inverse of the number equals zero. ______

6.) The distance of a number from zero on the number line. ______

LT2. I can classify rational numbers.

Write what each set of numbers representsAND provide 3 examplesof each.

Natural Numbers: ______

Examples: ______

Whole Numbers: ______

Examples: ______

Integers: ______

Examples: ______

Rational Numbers: ______

Examples: ______

LT 3. I can give examples of opposites.

1.) Mr. Gay and Mr. Slone are playing a game of cards. The object of the game is to cancel out the value of your opponent’s card. If Mr. Gay’s card represents 2/5, what card will Mr. Slone have to play in order to make Mr. Gay’s points 0?

2.) Mrs. Bowen had $29.50 in her checking account. How much money did she spend at Wal-mart if she now has $0?

3.) Wednesday’s high temperature is 63 degrees. How many degrees will the temperature need to drop in order to have a high temperature of 0 degrees on Thursday?

LT 4. I can describe examples of the additive inverse.

1. ) Using the additive inverse property, rewrite 26 – 40. ______

Determine the additive inverse of the following.

2.) -890 = ______3.) 65 = ______4.) 23.76 = ______

LT 5. I can explain and give examples of absolute value.

1.) If -4 is graphed on a number line, determine its absolute value.______

2.) |-17| = ______3.) - |-22| = ______4.) - |12|= ______

LT 6. I can use a number line to model integer addition & explain the process

Use the number lines to represent each situation. Draw the problem above the number line and give the solution.

1.) -4 + 1

2.) 7 + (-3)

3.) 0 + (-9)

LT 7. I can use the addition rules of integers to solve problems.

1.) -52 + 18 = ______2.) 29 + (-36) = ______

3.) -110 + (-41) + 10 = ______4.) 14 + (-25) = ______

LT 8. I can use a number line to model integer subtraction &explain the process

Use the number lines to represent each situation and give the solution.

1.) 3 – 9

2.) 0 – 7

3.) -4 – 5

LT 9. I can apply the additive inverse property to subtract rational numbers

Rewrite each subtraction problem using the additive inverse property, then solve

1.) 42 – 209 = ______2.) -26 – 15 = ______

3.) 2 ⅗ – 1½ = ______4.) -17.06 – 33.7 = ______

LT10. I can show that the distance between two rational numbers on the number line is the absolute value of the their difference.

Record the change in temperature from the first to the second.

1.) 20° to -10° = ______2.) 65° to 39° = ______

3.) -5° to 27° = ______4.) -19° to -4° = ______

LT 11. I can interpret sums & differences by describing real world contexts.

1.) Mr. Crouch and Mr. Bowen are playing a card game as partners. Partners must each draw a card and find the sum of their cards. If Mr. Crouch draws 3 and Mr. Bowen draws 2 , what is the sum of their cards?

2.) The outside air temperature drops from 89° to 64° in 25 minutes. What is the change in temperature?

3.) The math jeopardy team, Bowen Bunch, has a score of 150. They miss a 250 point question, then get a 100 point question correct. What is their new score?

4.) Ms. Moriarity doesn’t have enough flour to bake her favorite cookies. She has 2 ½ cups, but needs 4 ¾ cups. How much more flour will Ms. Moriarity need to bake the cookies?

5.) Mrs. Gibson deposits $475 into her bank account. She writes a check for $42.50 and another check for $36. How much money does Mrs. Gibson have left?