Download Unit 3 Assessment Review (2015 – 2016) Algebra 1 1

Name:____________________________ Period:_________ Date:__________
Unit 3 Assessment Review (2015 – 2016)
Algebra 1
6
7
1. What is the x – coordinate of the point of intersection for the two lines?
A) – 6
B) – 3
C) 3
8
10
6
9
D) 7
2. These are the equations for two distinct lines:
2
11
4
Find the x – coordinate of the point of intersection of these two lines.
3. What is the y – coordinate for the solution of the system of equations shown?
A) 7
B) 4
C) – 4
9
6
7
4
5. What is the y – coordinate for the solution of the system of equations?
B) 1
C) – 1
4
10
D) – 7
4. What value of y makes the system of equations true?
A) 5
5
D) – 5
9
3
4
2
11
7
9
5
6. Which graph represents the solution of this system of inequalities?
A)
B)
C)
D) 3
2
6
6
7. A club will create t-shirts for a fundraiser. The club members need to compare the cost of creating the t-shirts
between two companies. Company A charges $30 for setup, plus $5 per t-shirt. Company B charges $15 for setup,
plus $7 per t-shirt. The situation is shown on the graph below. Which option best interprets the results from the
graph?
a) For orders less than or equal to 7 shirts,
the cost of using Company A is less.
b) For orders less than or equal to 8 shirts,
the cost of using Company A is less.
c) For orders less than or equal to 7 shirts,
the cost of using Company B is less.
d) For orders less than or equal to 8 shirts,
the cost of using Company B is less.
8. What is the x – coordinate of the point of intersection for the two lines?
9. What is the solution to the system of equations?
A) (0, 15)
B) (1, 2)
2
3
6
10. Which graph displays the solution to the system of equations?
B)
C)
D)
9
7
3
6
C) infinitely many solutions
A)
6
4
D) no solution
2
4
4
6
6
11. What is the solution of the system of equations?
A) (1, 3)
B) (- 1, - 1)
3
3
9
4
12
C) infinitely many solutions
D) no solution
12. At a portrait studio, three 8-inch by 10-inch pictures and two 5-inch by 7-inch pictures cost a total of $52. Two 8-inch
by 10-inch pictures and two 5-inch by 7-inch pictures cost a total of $40. Which system of equations below
represents this situation where x is the number of 8-inch by 10-inch pictures and y is the number of 5-inch by 7-inch
pictures?
A)
52
40
B) 3
2
2
2
40
52
C) 2
2
3
2
52
40
D) 3
2
13. Which graph represents the solution to the system of equations?
A)
B) 2
2
B) – 3. 6
C) – 14
4
6
3
C)
D)
14. What is the x – coordinate of the solution to the system of linear equations?
A) – 2
52
40
3
26
2
8
D) – 15.6
15. Which statement describes the graph of the system of equations?
5
5
19
12
A) The lines intersect at (10, 9)
B) The lines intersect at (19, 12)
C) These two equations represent the same line.
D) The lines are parallel.
16. Which operations on the system could be used to eliminate the x variable?
A) Divide the first equation by 2 and add the result to the first equation.
B) Divide the first equation by – 4 and add the result to the first equation.
C) Multiply the second equation by 4 and add the result to the first equation.
D) Multiply the second equation by – 2 and add the result to the first equation.
2
2
4
1
17. Which graph represents the solution to the system of inequalities?
A)
B)
C) 3
1
8
2
D) 18. Enrique needs to buy hamburgers and hot dogs for a picnic. He has only $16.50 to spend at must buy at least 44
hamburgers or hot dogs. A store charges $0.50 per hamburger and $0.25 per hot dog. Which system of inequalities
shown represents this situation, where x is the number of hamburgers bought and y is the number of hot dogs bought?
A)
0.5
44
0.25
B) 0.5
16.50
0.25
16.50
44
C)
0.5
44
0.25
16.50
19. Which two steps should be used first in solving the system of equations by substitution?
a)
b)
c)
d)
Multiply the first equation by 4 and the second equation by 2.
Substitute 9 for y in the first equation and then solve the other equation for x.
Solve the second equation for y and then substitute this value into the first equation.
Subtract the terms in the second equation from the first equation and then solve for y.
20. The system below is shown in the graph. What is the solution?
2
2
1
44
0.25
D)
0.5
6
4
2
22
9
16.50
21. The sum of the values of x and y in the triangle below is 100°. The value of y is 3 times the value of x. Given the
system and graph shown, what are the values of x and y?
3 A) x = 20° and y = 60°
100
B) x = 25° and y = 75°
C) x = 70° and y = 30°
D) x = 75° and y = 25°
22. Linda graphed a system of equations and found that it had no solutions. Which could be the system of equations that
Linda graphed?
3
a)
3
b)
2
2
4
1
c)
1
3
2
3
3
2
4
d)
23. Gabriel needs to purchase at least 30 party decorations. The Party Palace charges $0.50 per decorative streamer and
$0.25 per balloon, including tax. The system below describes this situation, where s is the number of streamers
bought and b is the number of balloons bought. Which could be how many streamers and balloons he bought if he
has $12.50 to spend?
30
0.50
0.25
12.50
a) 18 streamers, 13 balloons
c) 21 streamers, 4 balloons
b) 20 streamers, 11 balloons
d) 21 streamers, 9 balloons
24. A first boiling pot of water (212°F) is cooling at a rate of 3.5 degrees per hour. A second pot is heated from freezing
(32°F) at a rate of 7 degrees per hour. Answer the questions based on the graph.
a) Approximately how long will it take for the two pots to become an
equal temperature?
b) What will their temperature be when they are equal?
c) At what times will the first pot of water be cooler than the second pot?
3
25. Which point is NOT a solution to the system of linear inequalities?
7
a)
b)
c)
d)
2
4
(-4, 0)
(0, - 1)
(-1, - 6)
(-3, - 4)
26. Which graph represents the system of linear inequalities?
A)
B)
C)
D)
27. Line r is represented by the equation
intersect?
3
3
2 and line z is graphed below. At what point do lines r and z
28. The substitution method will be used to solve the system of equations given. Which equation below would lead to a
5
36
correct solution using this method?
2
16
a) 2 5
36
c) 2 5
36
16
16
b)
5 2
d) 5
36
29. Graph and shade the system of linear inequalities.
2
4
8
3
1
30. Solve the system using substitution.
3
12
2
31. Solve the system using elimination.
2
4
22
3
3
30
16
5
36
36