Name___________________________
Date _______________Period_______
MUT #1 Review
1. Sally is selling newspapers. The following table shows her sales over the first 3 months of the year.
a.) If Sally started the year with x number of subscribers, which expression could be used to find out
how many subscriptions she has at the end of the 3 months?
x + 8 + (-1) + 5 + (-10) + 26 + (-7)
OR
8 + (-1) + 5 + (-10) + 26 + (-7)
b.) If the rest of the year follows the same pattern as the first 3 months, and Sally started the year with
x subscribers, write an expression could be used to predict the number of subscriptions she will have at
the end of the year.
x + 4[8 + (-1) + 5 + (-10) + 26 + (-7)]
2. Mr. Monroe is calculating the average amount of deposits into his bank account. In order to do this, he also had to
take into account his withdrawls. Here is the list of transactions for this week:
+245, - 65, - 35, + 30, - 100
What is the average amount deposited into Mr. Monroe’s bank account?
+245 + (-65) + (-35) + 30 + (-100) = 75
75 ÷ 5 = 15
$15
3. The sum of two integers with different signs is 13. Write an equation to represent the situation. Use x
and y to represent the integers.
x + y = 13
a.) The value of x is 17 and the value of y is -14. Substitute these values into your equation. Is the
equation true? Why or why not? Explain your reasoning.
17 + (-14) = 13 is not a true equation. Seventeen plus negative 14 equals 3, which is
not equivalent to 13.
b.) Create an equation using two integers with different signs whose sum is 13.
Varied solutions: -13 + 26; 17 + (-4)
4. A submarine is at 1,250 feet below sea level. As it travels, it also rises 1,075 feet. How many feet below
sea level is the submarine now?
-1,250 + 1,075 = -175 feet below sea level
5. Which set is not in order from least to greatest?
6. Place the parentheses to make the equation true.
(10 + 40 + 40) × 2 = 180
7. Simplify.
(8 - 5)3 - |52 - 43| ÷ (1 - 4)
(3) 3 - |25 – 64| ÷ (-3)
(3) 3 - |-39| ÷ (-3)
(3) 3 - 39÷ (-3)
27 - 39 ÷ (-3)
27 – (-13)
40
8. Simplify each term, then order them from greatest to least.
-(12), , | -10| , -(-3× 2), -| 3| 2
-12, 9 , 10,
6,
-9
10, 9, 6, -9, -12