Solving Problems on a Number Line
Word Problems
Evaluating Expressions
Multiplication and Division of Integers
Addition and Subtraction of Integers
100
Use a number line to show - 4 + (-7). Find the sum.
What is -11.
100
A submarine is 50 meters below sea level. It goes up 15 meters, then goes down 40 meters. What is the submarine's new position relative to sea level?
What is -75 meters.
100
-8x12
What is -96.
100
If multiplication is the same as repeated addition, represent -2x6 as an addition sentence.
What is -2+(-2)+(-2)+(-2)+(-2)+(-2).
100
-12+12
What is 0.
200
Jason's football team lost 6 yards from their starting position and then lost another 5 yards. How many yards did they lose in total?
What is -11 or the team lost 11 yards.
200
The lowest elevation in Long Beach, California, is 8 feet below sea level. The elevation of Death Valley is about 30 times lower than the elevation of Long Beach. What is the approximate elevation of Death Valley?
What is -240 feet.
200
-54/-9.
What is 6.
200
What is 7(-7)?
What is -49.
200
-36-(-18)
What is -18.
300
What is the absolute value of -13-(-7)?
What is 6.
300
Rosa is at the top of the climbing wall. She descends in 7 equal stages down the 63-foot wall. What number represents the distance that Rosa descends in each stage?
What is -9 or she descends 9 feet.
300
-18+(-4)-2-(-8)
What is -16
300
-32/7x(-4)
What is 16.
300
-48-12+25
What is -35.
400
Use a number line to show the possible answers. A weather forecaster says the temperature will be about -5 degrees "give or take" 10 degrees. What is the greatest possible temperature AND what is the lowest possible temperature?
What is 5 degrees = greatest; -15 degrees = lowest
400
A helicopter is 19 meters above the top of a canyon wall. It goes down 27 meters, passing into the canyon, and then goes up 5 meters. What is the new position of the helicopter relative to the canyon wall?
What is -3 meters or 3 meters below the canyon wall.
400
Decide whether each equation is True or False. (You can only earn full credit on this question.) A. -7-5+3=1 B. -(9+11)+1=1 C. 24-(-6)-6=24 D. 12+(-8)-1=3 E. -(2-7)+5=0
What is A. False B. False C. True D. True E. False
400
-21 / -7 x (-3) x 2 / (-6)
What is 3
400
7-(-3)+(-15)
What is -5
500
What are the steps you need to follow to change a subtraction problem to an addition problem? Show an example of a subtraction problem that you have changed to an addition problem.
What is keep the first number the same. Change the operation to its inverse. Use the opposite sign of the second number. Examples will vary.
500
The value of a stock is changing at a constant rate. The value decreases $56 over 8 days. How much did the stock's value change each day? Show and explain how you got your answer.
What is -7 or decreases 7 dollars per day.
500
-54 / 6 x (-4) + (-6) / 10 + 4
What is 7
500
What are the 4 rules of multiplying and dividing integers?
What is 1. positive x positive = positive 2. negative x negative = positive 3. negative x positive = negative 4. positive x negative = negative
500
-3+(-6)+(-8)
What is -17.
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