Answer the following questions using what you've learned from this unit. Write your responses in the space provided.
1. Write an algebraic or numerical expression that best represents each phrase. (8 points; 2 points each)
Part I: the sum of a number, n, and 5
Part II: 2 less than the product of 4 and 3
Part III: the quotient of x and 2 increased by 7
Part IV: 5 decreased by 4 times m
2. Write an equation or inequality that best represents each statement shown below. (12 points; 3 points
each)
Part I: 6 times a number, x, is at least 22.
Part II: Twice a number, n, increased by 7 is equal to 19.
Part III: The difference of a number, t, squared and 3 is at most 46.
Part IV: 2 fewer than the ratio of m and n is 10.
3. Shelly's savings account currently has a balance of $220. She has started working a part-time job and
plans to deposit part of her paycheck each week into hersavings account. The table below shows the
balance in Shelly's account for the first four weeks:
Part I: How much money did Shelly have in her savings account at 3 weeks? (2 points)
Part II: How much money does Shelly deposit into her savings account each week? Show your work. (3
points)
Part III: Write an equation to represent the amount of money Shelly has in her account each week. Let
w represent the number of weeks Shelly deposits moneyinto her savings account and m
represent the amount of money in her account.
A. Define the variables. (2 points; 1 point each)
Let w = _ Let m = _
B. Write an equation to represent the amount of money Shelly has in her account each week. Hint:
Remember that Shelly started with $220 in the account. (3 points)
Part IV: Using the equation you wrote in Part III, how much money will Shelly have in her account
after 7 weeks? Show your work. (4 points)
4. Sonny is purchasing a CD player and some CDs. The cost of the CD player is $48 more than the total
cost of the CDs. If the CDs cost a total of $96, what is the cost of the CD player?