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EOTT REVIEW QUESTIONS – SHOW WORK WHERE APPROPRIATE. You may receive extra credit if you turn in with correct answers. NAME: ____________________________ PERIOD _____ DUE NOV. 20, 2014 1. Compute a value for s that satisfies the equation below. 2. Compute a value for s that satisfies the equation below.
3. A student attempts to solve for x in the equation below. Which statement
best applies to the work shown below?
3=2–x
3=2–2–x
3 = –x
–3 = x
A. The student incorrectly applied the multiplication property of equality
before the addition property of equality.
B. The student did not properly apply the addition property of equality to isolate x.
C.The student did not properly apply the multiplication property of equality to
isolate x.
D.The student correctly solved the two-step equation.
4. Solve for a in the equation below.
5. Verify the equation below with each of the values listed for s to find a solution.
A.
B.
C.
D.
s = –1
s=0
s=1
6. Sally needs 50 candy bars to put in her goodie bags for her party. She already has
3 candy bars at home. Each box of candy bars at the store has 8 bars in it. How many
boxes of candy bars does she need to buy to reach 50? SHOW YOUR WORK!
A.
5
B.
6
C.
7
D.
8
7. Determine if
solution. 8. Solve for .
A. B. C. z = 3 D. z = 6 is the solution to the following equation. If not, find the correct
9. A student is asked to solve the equation below and to justify her steps. Identify
what, if anything, is incorrect in her math or justification.
j – 6 = –10
Step
Justification
j – 6 = –10
Given
j – 6 – 6 = –10 – 6
Addition property of equality
j = –16
A. The student has mislabeled the work in the 2
ND
step as "Addition property of Equality."
B. The student improperly applied the addition property of equality in the second step.
C. The student rewrote the the problem incorrectly in step 1.
D. There is no error. The student's justification is correct.
10. Kurt started a lawn mowing business. He charges $6 for each lawn. He bought a
lawn mower for $250 and now, after 3 months, has a profit of $152. How many lawns
has he mowed so far?
A.
20
B.
25
C.
57
D.
67
11. The area of a triangle is 41 yd , with a base of 5 yards. What’s the height, in yds?
A.
16.4
B.
102.5
C.
20.5
D.
20
12. Edison has a dog walking business. He earns $6.00 for each dog that he
walks. Edison walked 4 dogs on Friday, 6 dogs on Saturday, and some additional
dogs on Sunday. He earned a total of $108.00 for those three days. How many dogs
did he walk on Sunday?
A.
8
B.
10
C.
9
D.
6
13. The sum of three consecutive numbers is twelve less than six times the lowest
number. What are the three numbers?
A.
B.
C.
D.
3, 4, 5
10, 11, 12
2, 3, 4
5, 6, 7
14. If a geometric sequence is: an = a1 ∙ r(n-1), create a table of values that represent the function
𝐚𝐧 = 𝟐 ∙ 𝟑𝒙 .
x f(x) -­‐2 Sketch a graph of this function below. REMEMBER, ALL VERTICLE
-­‐1 BOXES MUST BE EQUALLY SPACED.
0 1 2 3 What type of equation is this? ____________________
What is the Domain? _______________
What is the Range? _________________
15. Solve for x.
–3(5 – x) = 4x
A.
–2
B.
15
C.
2
D.
–15
16. Ryan buys 3 heads of garlic at $0.50 per head. He also buys 2 pounds of zucchini.
If he spends $4.10 on the vegetables, how much did the zucchini cost per pound?
A.
$0.80
B.
$1.30
C.
$1.20
D.
$1.70
17. You start a bank account with $50. Each week after that, you deposit $12. Write an
equation that describes this activity. Identify each of the variables in your equation.
How many weeks will it take to have $230 in the account?
Equation: ____________________
A.
15
B.
8
C.
24.3
D.
10
18. Bob needs to drive 592 miles to get to a family reunion. He travels 187 miles the
first day. If he averages 52 miles per hour the second day, how long will it take him to
reach his destination?
Without calculating the answer, from the choices given, which is most reasonable? Why?
A.
B.
C.
D.
20 hours
8 hours
3.75 hours
8 minutes
19. Scott has $500 in the bank. He withdraws the same amount of money each week
for 12 weeks, at which point he has $20 left in the bank. How much money did he
withdraw each week?
A.
$40
B.
$100
C.
$5
D.
$60
20. A total of 78 seats for a concert are sold, producing a total revenue of $483. If a
child’s seat cost $2.50 and an adult’s seat cost $10.50, how many children seats were
purchased? How many adult seats were purchased?
Define
System
x: __________________________
E1: _______________________________
y: __________________________
E2: _______________________________
Solve
Solution to the question