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The Overland Trail Mid- Unit Test REVIEW
1. Complete the IN-OUT table if OUT = 3 – IN2: SHOW WORK
IN
OUT
–3
–2
–1
0
3
6
2. Refer to the table. What is the next row in the table? Find a formula that relates s and t.
s(t)
t
–2
–1
0
1
2
–5
–1
3
7
11
3. The Grand Old Theater (from Fort Hall Business) is putting on a special show. This time the
manager finds that after 10 people have bought tickets, the register had $60 in it, and that after 30
people have bought tickets, the register contains $85.
a) How much money did the theater charge per person?
b) How much money was in the register to start?
c) Write a function for the amount of money M that it was in the register after p people bought
tickets.
d) How many tickets were sold when there was $110 in cash register?
4. Write an algebraic expression for each statement below using n as a variable.
a) Five time a certain number
b) Five more that a certain number
c) The sum of three consecutive odd numbers.
d) One more than five times a certain number.
e) Five less than half a number.
5. Write equivalent expression in factored form.
a) x2 + 10x + 24 =
c) 3x2 – 12x =
b) x2 – 81 =
d) x2 – 12x + 36=
6. Anna opened a savings account with $25. She deposited the same amount every week and after 8
weeks she had $81.
a) How much will be in her account after w weeks?
b) When will she have $95?
7. A business with a 900 exchange charges callers $2 for a 3-minute call and $.75 for each
additional minute. Find the cost of calling for each of the times longer than three minutes.
a) 4 minutes
b) 10 minutes
c) n minutes
8. Solve each equation below.
a) 2(d – 5) + 3 = 11– 3(2 – x)
9. Distribute:
a) (3x +1)(5x – 4) =
b) (a + 8)2 =
c) (x – 3 )2 =
b) 5x + 6 = 7 (x – 3)
c)
4s  5
7
3
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