{{student_name}} > 041-Unit 2: Represent, Solve and Graph Equations and Inequalities
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1
Which situation can be represented by this inequality?
120 ≤ 12k + 29
-
A
Felicia has 12 buttons in her collection. She will collect 29 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at least 120 buttons?
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B
Felicia has 29 buttons in her collection. She will collect 12 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at least 120 buttons?
-
C
Felicia has 29 buttons in her collection. She will collect 12 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at most 120 buttons?
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D
Felicia has 12 buttons in her collection. She will collect 29 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at most 120 buttons?
2
Which situation is best represented by the following equation?
45w + 123.95 = 753.95
-
F
Erica paid
753.95 for dance classes. She paid a 123.95 registration fee and 45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes? -
G
Erica paid
753.95 for dance classes. She paid a 45 registration fee and 123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes? -
H
Erica and her sister paid
753.95 for dance classes. Erica paid 123.95 for each week she was enrolled in the classes, and her sister paid 45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes? -
J
Erica paid
753.95 for dance classes. She paid 123.95 for each week she was enrolled in the classes after using a coupon that gave her 45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?
3
If x = –6, which inequality is true?
-
A
–5 – 3x > 10
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B
–3 – 5x < –14
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C
1 – 2x > 13
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D
2 – x < –3
4
Four triangles are shown.
Based on these triangles, which statement is true?
-
F
w = 75°, because 45 + 60 = 105 and 180 – 105 = 75
-
G
w = 105°, because 180 – (45 + 60) = 75 and 180 – 75 = 105
-
H
w = 285°, because 45 + 60 = 105 and 105 + 180 = 285
-
J
w = 165°, because 180 – 60 = 120 and 120 + 45 = 165
5
Which situation can be represented by this equation?
7x + 1 = 10x
-
A
Brody ran at a constant rate of 7 miles per hour in a race. Candice ran at a constant rate of 10 miles per hour in a race and started 1 mile in front of the starting point. What is x, the number of hours that Brody and Candice would have to run in order for their distance to be the same?
-
B
Brody played a game where he scored 8 points per hour. Candice played the game and scored 10 points per hour. What is x, the number of hours that Brody and Candice would each have to play the game in order for their scores to be the same?
-
C
Brody went to two different amusement parks. The first park charged $7 per hour and gave a 1% discount for showing a student ID. The other park charged $10 per hour. What is x, the number of hours that Brody would have to stay at each park to have to pay the same amount?
-
D
Brody rode his bicycle on two different days. The first day he rode 7 miles per hour and started 1 mile from his house. The second day he started from his house and rode 10 miles per hour. What is x, the number of hours that Brody would have to ride his bicycle to travel the same distance on both days?
6
What is the value of x?
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F25
-
G20
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H10
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J28
8
-
F
The value of x is 79, because the two angles shown in each diagram are congruent.
-
G
The value of x is 101, because the two angles shown in each diagram are supplementary.
-
H
The value of x is greater than 90, because the two angles shown in each diagram are obtuse angles.
-
J
The value of x is 11, because the two angles shown in each diagram are complementary.
10
-
FMs. Jones makes 3 equal stacks of cafeteria trays. There are 288 trays in all. What is x, the number of trays in each stack?
-
GMs. Jones makes 3 stacks, each with 288 cafeteria trays. What is x, the number of trays in all?
-
HMs. Jones stacks 3 cafeteria trays. There are 288 more trays to stack. What is x, the number of trays in all?
-
JMs. Jones has to stack 288 cafeteria trays in all. She has 3 trays left to stack. What is x, the number of trays Ms. Jones has already stacked?
11
What is the solution set for the inequality?
-
Ax ≤ -5
-
Bx ≤ 5
-
Cx ≤ 1
-
Dx ≤ -14
12
What is the solution for this equation?
-
Fx = 3
-
Gx = 15
-
Hx = 5
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Jx = 1
13
An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees?
-
A
84 + 2z = 180
-
B
84 + z = 180
-
C
42 + 2z = 180
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D
42 + z = 180
15
At a store each notebook has a cost of x dollars. Which situation can be represented by this inequality?
5x < 3x + 2
-
A
The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.
-
B
The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon.
-
C
The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.
-
D
The cost of 5 notebooks is $2 greater than the price of 3 notebooks.
16
Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria?
-
F45,000x + 2,500x = 54,000x + 1,500x
-
G45,000x + 2,500 = 54,000x + 1,500
-
H45,000 + 2,500x = 54,000 + 1,500x
-
J45,000x + 2,500x = 54,000x + 1,500
17
• The measure of angle M is (5x + 10)°.
• The measure of angle R is 55°.
What is the value of x?
18
-
F
-
G
-
H
-
J
20
• One class is selling tickets for $2.50 each and has already raised $350.
• The other class is selling tickets for $3.00 each and has already raised $225.
Which equation can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?
-
F3t + 350 = 2.50 t + 225
-
G350t + 2.50 = 225t + 3
-
H2.50 t + 350 = 3t + 225
-
JNot here
