Juan answered all 50 questions on a test. He earned 3 points for each question he answered correctly. He lost 1 point for each question he answered incorrectly. His final test score was 102 points. The system of equations below describes the relationship between the number of questions he answered correctly (x) and the number of questions he answered incorrectly ( y). x+y=50 3x-y=102 Part of the solution of the system of equations is x = 38. What does this value represent?
Keystone Algebra

Quiz
•
Mathematics
•
9th Grade
•
Hard
Anthony Clark
FREE Resource
14 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
the number of questions Juan answered correctly
the number of questions Juan answered incorrectly
the number of points Juan lost from questions he answered incorrectly
the number of points Juan earned from questions he answered correctly
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Jason decided that he will sell his stocks if their value per share (x) goes below $5 or above $15. Which compound inequality represents the values at which Jason will sell his stocks?
x > $5 or x < $15
x < $5 or x > $15
x > $5 and x < $15
x < $5 and x > $15
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A ticket to a baseball game costs $20. Each soda sold at the game costs $5. Shawn may spend no more than $50. He buys 1 ticket and x sodas. Shawn represents this situation with the inequality below. 5x+20≤50 The solution of the inequality is x ≤ 6. Which statement best describes the solution of the inequality?
Shawn buys 6 or fewer sodas.
Shawn buys 6 or fewer tickets.
Shawn buys 1 ticket and 5 sodas.
Shawn has less than or equal to $6 remaining when he leaves the game.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A group of friends will buy at most 8 snacks at a movie theater and spend no more than $42. They will pay $4 for each box of candy and $7 for each bag of popcorn. The system of inequalities graphed represents this information.
Which combination of boxes of candy and bags of popcorn could the group buy?
2 boxes of candy and 6 bags of popcorn
3 boxes of candy and 4 bags of popcorn
5 boxes of candy and 4 bags of popcorn
8 boxes of candy and 1 bags of popcorn
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
x = -2
x = 0
x = 1.5
x = 9
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A
B
C
D
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
One of the steps Lewis used to correctly solve an equation is shown below. Which statements describe the procedure Lewis used in this step of solving the equation and identify the property that justifies the procedure?
Lewis added 3 and x to eliminate the parentheses. This procedure is justified by the associative property.
Lewis added 3 and x to eliminate the parentheses. This procedure is justified by the distributive property.
Lewis multiplied x and 7 by 3 to eliminate the parentheses. This procedure is justified by the associative property.
Lewis multiplied x and 7 by 3 to eliminate the parentheses. This procedure is justified by the distributive property.
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