Integer Computation
#1. Write an addition expression equivalent to -4-(-3)
-4+3
#4. The average low temperature is -10°F but today’s low temperature was 4° colder than average. What was today’s low temperature? Answer must include an equation
-10+-4=-14
-10-4=-14
15. Which tables represent proportional relationships? (see paper for tables)
Describe or show how you would convert the fraction 3/8 to a percent.
answers vary
divide, multiply by 100
#2. Write an expression that represents 5x-4.
0-4-4-4-4-4
0+(-4)+(-4)+(-4)+(-4)+(-4)
#11. Which situation does not equal 0?
a. The temperature rose 10°F during the day then fell 10°F overnight.
b. A submarine descended 150 and then sank another 100 yards.
c. You deposit $65 into your account then withdraw $65 the next day.
b
#16. Which statement is false about the graph? (see paper for graph)
a. The point (3, 7.5) represents the distance hiked after 3 hours.
b. The number of kilometers hiked in 1 hour is 2.5.
c. The number of kilometers hiked in 5 hours is 15.
c
Write the equivalent percent for each fraction.
i. 1/2
ii. 3/4
iii. 8/100
i. 50%
ii. 75%
iii. 8%
#10. Which expressions have the same value as the distance between the two points on the number line (see your paper for number line).
150 points for each correct answer
c, e
#5. Mount Washington in New Hampshire has an elevation of 6,288 feet. Long Island Sound has a maximum depth of 330 feet. Find the distance between these two points. Your answer much include an equation.
6288-(-330)=6618
6288+330=6618
#18. When making lemonade, the recipe calls for ⅖ cups of sugar for every ⅓ cup of lemon juice. How many cups of sugar are needed for 1 cup of lemon juice?
1 1/6
6/5
#20. When baking cookies, Ms. Murphy used 24 ounces of chocolate chips from a 30-ounce bag. What percent of the bag does she have left?
20%
#9. Select all expressions that are equivalent to 6x5 + (-7)-(-3).
100 points for each correct answer
a, b, e, f
#7. The temperature was -3°F at midnight. If the temperature increases 1.5°F each hour, what will the temperature be at 6:00 am? Write an equation(s) or show your thinking.
6
(equations vary)
19. The front side of a storage unit is shown in this scale drawing. The width of the door in the drawing is 3.5 inches. The scale that maps the drawing to the actual warehouse is 1 inch to 5.5 feet. Using the given scale, find the actual width of the door, in feet. (see paper for drawing) Write an equation for your solution.
3.5x5.5=19.25
#21. Benny bought jeans and a pair of glasses this weekend. The jeans were on sale for 15% off the original price. The glasses are on sale for 25% off the original price.
The original price of the jeans is $35.50.
The original price of the pair of glasses is $14.00.
What is the total discounted price of the jeans and the pair of glasses? Show all your work
$40.68
#12. Write an expression for each of the following solutions:
i. positive solution
ii. negative solution
iii. zero solution
i. positive solution (expressions 1, 2, 3, 6, 7)
ii. negative solution (expression 8)
iii. zero solution (expressions 4, 5)
#8. A kiddie pool holds 235.25 gallons of water. When Lance went to fill it, he noticed it already had some water in there. He added 120 ½ gallons to fill it up. How many gallons were in the pool before he filled it? Write an equation for the situation.
235 - 120 1/2 = 114.75
#13. The graph shows the proportional relationship between the total cost (c) and the number of hours (h) a canoe is rented at the shop on a lake. Find the constant of proportionality (r). Using the value for r, write an equation for the form c=rh that represents the relationship between the total cost (c) and the number of hours (h). (see paper for graph)
c=12h
#22. Two bakers are selling cakes at the market. Sam has 10 cakes for sale and Jane has 40 cakes for sale. At the end of the day, Sam sold 60% of his cakes and Jane sold 80% of hers. What percent of all the cakes sold that day?
76%