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Algebra 1 Semester 1 PRACTICE Final Exam Name: ____________________ Per: __
- Which sequence has a common difference of seven?
A. 6, 13, 21, 29, ... C. 30 , 36, 216, 1296, ...
B. 6, 13, 20, 27, ... D. 30, 23, 16, 9, ...
- The table displays the hourly rental cost for a bicycle.
Hours 1 2 3 4
Cost $6.00 $9.00 $12.00 $15.
Let ๐ represent the number of hours the bicycle is rented. Which expression models the rental cost after ๐ hours?
A. 6 + 3 (๐ + 1 ) C. 4 + 3 (๐ โ 1 )
B. 6 + 3 (๐ โ 1 ) D. 4 + 3 (๐ + 1 )
- The variable n represents the number of oranges in a box. The weight of the box in pounds, including oranges, can be
modeled using the expressions 8 + 2(n - 1). How much will the box weigh with 100 oranges in it?
A. 100 B. 206 C. 221 D. 423
- The graph shows the number of push-ups done on a given day.
Which set of numbers shows the number of push-ups on the second, third, fourth, and fifth days?
A. {10, 20, 30, 40}
B. {10, 15, 30, 35}
C. {25, 30, 35, 40}
D. {20, 30, 40, 50}
- Cayden owns a small pizza business. He charges $8.00 for each pizza. It costs him $2.50 to make each pizza plus $33 a
day for kitchen space. Which equation can be used to determine how many pizzas, ๐, Cayden needs to sell each day in
order to break even?
A.) 2. 50 ๐ + 8 ๐ = 33 C.) 8 ๐ = 2. 50 ๐ + 33
B.) 8 ๐ = 35. 50 ๐ D.) 10. 50 ๐ = 33 ๐
50
Day
30
10
- Collyns wants to join a gym. She finds two gyms near her that offer memberships at different monthly rates.
She sets up the equation 35 ๐ + 100 = 50 ๐ + 70 to find out after how many months, m , the gyms will cost the same
amount. What is the difference in the per-month costs for the two gyms?
A.) $15 per month C.) $30 per month
B.) $20 per month D.) $50 per month
- Two home construction companies are competing for a home remodeling contract. Louโs Home Remodeling charges a
$175 consulting fee plus $45 per hour labor charge. Excel Home Improvement charges $85 consulting fee plus $75 per
hour for labor. For how many hours of work will the two companies charge the same amount?
A.) 0.33 hours C.) 4 hours
B.) 12 hours D.) 3 hours
- Which equation has infinitely many solutions?
A.) 2 (๐ฅ โ 5 ) = 4 ๐ฅ โ 2 (๐ฅ โ 5 ) C.) 2 (๐ฅ โ 5 ) = (๐ฅ โ 3 ) โ 3 (๐ฅ โ 5 )
B.) 2
( ๐ฅ โ 5
) = โ 2
( ๐ฅ โ 1
)
- 4 (๐ฅ โ 3 ) D.) 2 (๐ฅ โ 5 ) = 2 (๐ฅ โ 3 ) + 2 ๐ฅ โ 7
- Solve 2 ๐ + 4 ๐ = 12 for ๐
A.) ๐ = 3 โ
1
2
๐ C.) b= 3 +
1
2
B.) ๐ = 3 โ 2 ๐ D.) ๐ = 2 โ 3 ๐
- Which is a solution of the inequality 7 โค โ 2 ๐ฅ + 3?
A.) 1 C.)โ 2
B.) 2 D.) โ 1
- Which graph shows the solutions for the inequality 8 โฅ ๐ฅ?
A.)
B.)
C.)
D.)
- This is the graph of ๐(๐ฅ) = |๐ฅ|.
Which is the graph of ๐(๐ฅ) = |๐ฅ| โ 2
A. B.
C. D.
- The table represents a linear function.
What is the value of ๐?
A. 1
B. 0
C. - 1
D. - 4
- The graph of a direct variation function passes through the point (4, 30). What is the constant of variation for this
function.
A. 4
B. 7.
C. 15
D. 30
- The graph shows the cost per month for streaming movies.
How much will it cost for 3 months?
A. $ 6
B. $ 12
C. $1 5
D. $ 18
A. ๐ฅ = โ 35
B. ๐ฅ = 21
C. ๐ฅ = โ 35 ๐๐๐ ๐ฅ = 21
D. ๐ฅ = 35 ๐๐๐ ๐ฅ = โ 21
- This is an arithmetic sequence.
Which function describes the sequence?
A. ๐(๐ฅ) = 0. 6 ๐ฅ + 8
B. ๐(๐ฅ) = 0. 6 ๐ฅ + 8. 6
C. ๐(๐ฅ) = โ 0. 6 ๐ฅ + 8
D. ๐(๐ฅ) = โ 0. 6 ๐ฅ + 8. 6
25. Which is the equation, in slope-intercept form,
of the line graphed?
A. ๐ฆ =
2
3
B. ๐ฆ = โ
2
3
C. ๐ฆ = โ
3
2
D. ๐ฆ = 3 ๐ฅ โ
5
2
Number of months
Total cost
- Which linear inequality best represents the graph shown?
A. ๐ฅ < โ 1
B. ๐ฅ โค โ 1
C. ๐ฅ > 1
D. ๐ฅ โฅ 1
32. Larry wants to eat more vegetables, so he buys peppers and cucumbers at the farmers' market. He bought 20
pounds of vegetables and paid $22.80. Each pound of peppers cost $1.29 and each pound of cucumbers cost $0.99. If
๐ฅ represents the pounds of peppers and ๐ฆ represents the pounds of cucumbers, which system of equations best
represents the kinds of vegetable and the cost of the vegetables Larry bought?
A. x + y = 2280 B. x + y = 20
1.29x + 0.99y = 20 1.29x + 0.99y = 22.
C. x + y = 20 D. x + y = 22.
129x + 99y = 22.80 1.29x + 0.99y = 200
- Which system of equations has no solution?
A. 3 ๐ฅโ 2 ๐ฆ=
B. 3 ๐ฅโ 2 ๐ฆ=
C. 2 ๐ฅโ๐ฆ=
D. 3 ๐ฅโ 2 ๐ฆ=
34. A yellow cab has an initial cost of $2 and a blue can has an initial cost of $5. The cabs both start at driving at
from the same location. The graph shows the cost as a function of the miles driven.
How many miles until they cost the same amount of money? Is the system of equations for the situation independent
or dependent? Is the system of equations for the situation consistent or inconsistent?
A. 3 miles; independent; inconsistent
B. 3 miles; independent; consistent
C. 8 miles; independent; inconsistent
D. 8 miles; dependent; consistent
35. Which ordered pair is a solution for this system of linear inequalities?
A. (5,0) B. (3,โ1)
C. (โ1,3) D. (4,โ9)
- Which graph shows the solution for the system of linear inequalities?
A. B.
C. D.
1. B
2. B
3. B
4. D
5. C
6. A
7. D
8. B
9. A
10. C
11. D
12. B
13. C
14. B
15. A
16. D
17. C
18. A
19. A
20. D
21. B
22. C
23. C
24. D
25. B
26. C
27. D
28. A
29. C
30. B
31. A
32. B
33. B
34. B
35. D
36. D
