Name: ____________________________________
1. Find the value of n: 3n − 1 = 32.
5. Choose the correct description of the relation below:
Answer: n = 2. Alpha Centauri is the nearest star to our Sun. It is
4.3 light years away or about 25 trillion miles. Which
of the following expresses 25 trillion miles in scientific
notation?
1. 2. 3. 4. 2.5 × 1012
2.5 × 1013
2.5 × 1016
2.5 × 1017
3. Shelly is starting a savings account at her local
bank. She is saving money to buy her first new car.
She goes to the bank with $250 she received on her
birthday to open the account. After that, she is going to
deposit $50 from her paycheck each week into the
account. Let x represent the number of weeks and y
represent the total amount saved.
Look at each equation below. Does it model the
situation above? Select Yes or No for options A – D.
1. Linear; Function 3. Linear; Non-Function
2. Nonlinear; Function 4. Nonlinear; Non-Function
6. Mike and Steve had a box of baseball cards. They
sold half of them and then they gave 40 to Mike’s
brother and 40 to Steve's brother. They ended up with
50 cards each. How many cards did they have to begin
with?
A. y = 250x + 50
Yes No
B. y = 50x + 250
Yes No
C. y – 50x = 250
Answer: cards
Yes No
D. y = 250 + 50x
Yes No
4. Two integers have a sum of 53 and a difference of
3. What are they?
The smaller integer is integer is and the larger
.
7. Twelve increased by twice a number, x, is equal to
four times the number that is 5 more than x. What is the
value of x?
Answer: The value of x is .
8. Beginning in 2000, the annual average movie ticket
price in the U.S. increased by a constant amount until
2015.
13. Al is a shoes salesman. He earns a monthly income
that is a combination of a fixed amount plus a fixed
percent of his monthly sales.
In 2005, the average cost of a ticket was $6.40.
In 2010, the average cost of a ticket was $7.90.
October: Al had a monthly income of $3,875 and
monthly sales of $30,000.
November: Al had a monthly income of $5,000
and monthly sales of $45,000.
How much did a ticket cost in 2000?
Answer: In 2000, the average cost of a movie ticket in
the U.S. was $
.
What is Al's monthly fixed income?
Answer: Al earns a monthly income of $
.
9. How do you write 345,000,000,000 in scientific
notation?
1. 2. 3. 4. 14. Find 120.
3.45 × 1011
3.45 × 109
3.45 × 108
3.45 × 1010
Answer: 15. Which table represents a linear function?
1. 3. 10. Triangle ABC is similar to triangle DEF. Find the length
of side .
Answer: cm
2. 4. 11. The square root of 98, rounded to the nearest
thousandth, is .
12. How would you change the number 3.2 × 10-7 to
3.2 × 10-4?
1. Divide by 100. 3. Multiply by 100.
2. Multiply by 1,000. 4. Divide by 1,000.
16. A typical virus is only about 2.5 × 10−5 mm in size.
How else could you express this size?
1. 0.00025 mm 3. 0.0000025 mm
2. 0.000025 mm 4. 0.00000025 mm
17. Solve the following equation: −6u + 21 = 51.
Answer: u = 18. Beginning in 2010, the average ticket price to a
Pittsburgh Pirates game increased by a constant amount
until 2015.
In 2011, the average cost of a ticket was $15.29.
In 2014, the average cost of a ticket was $18.32.
What was the average ticket price in 2010?
Answer: In 2010, the average price of a Pittsburgh
Pirates ticket was $
.
19. Simplify the expression:
3.2 + 9 ÷ 2.5 = 20. Which function has a rate of change that is the same
as the rate of change of the function graphed below?
1. 2. 3. 4. 9x + 12y = 3
4y – 3x = -4
24x –​ 18y = 4
12y + 16x = 15
21. What is the slope of the line y = 1. 1
2. 2
3. 4. x + 1?
22. In which graph do the plotted points lie on the line y = x – 2?
1. 2. 3. 4. 23. A student was given two functions to analyze.
Function 1: Function 2: Contains the values in the table.
What is the distance between the y-intercepts for the two functions?
1. 1 3. 3
2. 5 4. 7
24. Which function has a greater rate of change than the function graphed below?
1. 2. 3. 4. 7x – 12y = 3
4y – x = -4
x –​ 2y = 4
10y – 8x = 15
25. Which table shows y as a function of x?
1. 2. 3. 4. Answer Key for Spiral 3
1. 11
10. 4.5
19. 6.8
2. 2
11. 9.899
20. 1
3. No, Yes, Yes, Yes 12. 2
21. 4
4. 25, 28
13. 1625.00 or 1625 or 1,625.00 or 1,625 22. 1
5. 3
14. 1
23. 2
6. 360
15. 3
24. 4
7. -4
16. 2
25. 1
8. 4.90
17. -5
9. 1
18. 14.28