Integer Review

1) Solve each of the following. Show ALL work (score board, when applicable or re-writing subtraction problems, etc.)or provide explanation to answer.

a. -10 + (-5) = b. 9 + (-3) = c. -17 + 8 =

d. -20 - (-10) = e. 19 - (-13) = f. -7 - 8 =

g. -10(-3) = h. 9(-2) = i. -7(8) =

j. -27 ÷ (-3) = k. 39 ÷ (-3) = l. -18 ÷ 2 =

2) Here are the low temperatures (in Celsius) for one week in Juneau, Alaska:

Monday / Tuesday / Wednesday / Thursday / Friday / Saturday / Sunday
5 / -1 / -6 / -2 / 3 / 7 / 0
  1. Arrange them in order from coldest to warmest temperature.
  1. On a winter day, the low temperature in Anchorage was23degrees below zero (in∘C) and the low temperature in Minneapolis was14degrees below zero (in∘C). Sophia wrote,

Minneapolis was colder because−14<−23.

Is Sophia correct? Explain your answer.

  1. The lowest temperature ever recorded on earth was−89∘Cin Antarctica. The average temperature on Mars is about−55∘C. Which is warmer, the coldest temperature on earth or the average temperature on Mars? Write an inequality to support your answer.

3) Draw a coordinate plane (use a ruler or graph paper).

Plot the following points:

  • Bank (-8,5)
  • School (-8,-6)
  • Park (4,5)
  • Post Office (-9,5)
  • Store (-9, -6)

For items “a” through “d”, select True or False for each statement based on the given information.

  1. The bank is closer to the school than the post office is from the store. □True □False

b. The distance from the bank to the school is equal to |5|+|-6|

□True□False

c. The library is located in quadrant II.

□True□False

d. The distance from the bank to the post office is |8|+|-9|

□True□False

Fraction Review

1) Solve each of the following. Show ALL work. All answers MST be in simplest form and written as mixed numbers; No improper fractions.

a. 1½ + ½ = b. 9 - ⅔ = c.7½ - ¾=

d. 2¼ (10)= e. ¾(⅛) = f.⅞ (1⅜)=

g. 10÷ (⅖) = h. 9½÷½ = i.⅝÷⅝ =

2) Use visuals (pictures, number lines, models, etc.) to find the answers to the problems below. Be sure to use your Math Reasoning Rubric to explain what your answer is and how you obtained it.

  1. In preparing to make hair bows for friends, Samantha realizes she needs 2/3 yard of ribbon for each bow. She has 2 yards of ribbon. Does she have enough ribbon for four bows?
  1. Samantha wants to make some hair bows for her friends. She has 2 yards of ribbon to be shared equally between 3 hair bows. How much ribbon will she use for each bow?

Expressions Review

1) Evaluate the following problems, using the correct order of operations.

a. 14 +18 ÷ 2 x 18 – 7 b. (10 + 43 -5) ÷ 6 + 52

2) Evaluate the following problems, if x = 5, y = 1 and z= 0.

a. 5x+2z b. xy c. 3x–5y

3) Write an algebraic expression for each word phrase.

A. 12 more than m machines

B. Six times the daily amount of fiber f in your diet

C. The total number of seashells s divided by 10.

D. m divided by 6 is 36.

4) A gym offers three membership options:

Carlos thinks he will go to the gym about 20 times a month. Calculate how much each of these options would cost Carlos for one month.

  1. “Pay as you go” ______
  2. “Regular Deal” ______
  3. “All-in-one price” ______
  4. Which of these is the least expensive option for Carlos? ______