Download Study Guide Adding and Subtracting Rational

Study Guide: Unit 2A (Adding and Subtracting Integers)
ASI 1. I can define the following vocabulary words: Opposites, Additive Inverse,
Additive Inverse Property, Absolute Value, Integers, and Rational Numbers)
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. ____________________
ASI 2. I can classify rational numbers.
Write what each set of numbers represents AND provide 3 examplesof each.
Natural Numbers: _________________________________________________
Examples: _______________________________________
Whole Numbers: __________________________________________________
Examples: ________________________________________
Integers: ________________________________________________________
Examples: ________________________________________
Rational Numbers: _________________________________________________
Examples: ________________________________________
ASI3. 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?
ASI4. I can describe examples of the additive inverse.
1. ) Using the additive inverse property, rewrite 26 – 40. _____________
2.) Miss Caskey has $325 in her bank account. She buys a cell phone for $99.99 at AT&T.
Write an addition statement representing how much money Miss Caskey spent.
Determine the additive inverse of the following.
3.) -890 = ________
4.) 65 = _______
5.) 23.76 = ________
ASI5. 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|= ________
ASI6. 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)
ASI7. I can use the addition rules of integers to solve problems.
1.) Mrs. Barnett has $11.75. She spends $5.20 at Dollar Mart. How much money does she
have left?
2.) Mr. Crouch gains 10 yards, loses 3 yards, loses 10 yards, then gains 9 yards. How many
overall yards has Mr. Crouch gained or lost?
3.) Mrs. Moriarity is baking cookies for her class. She needs to add 3 ½ Cups of Flour and
1 ¾ Cups of Sugar. How much of the flour and sugar will she add altogether?
4.) Mr. Bowen owes $26.25 for his father’s birthday cake. He has saved $12.50. How much
money will he have left or need to pay for the cake?
5.) -52 + 18 = ___________
6.) 4 2/3 + (- 4/5) = ________________
7.) -110 + (-41) + 10 = ____________
8.) 13.4 + 16 + (-27.6) = ____________
ASI8. 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
ASI9 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 = _______________
ASI 10. 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° = _____________________
ASI 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
draws 2
and Mr. Bowen
, 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?