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Pre-AP Algebra 1 Unit 2 ‒ Systems of Linear Equations and Inequalities Practice Test

October 17, 2020Brajendra Shrivastava

Pre-AP Algebra 1 Unit 2 ‒ Systems of Linear Equations and Inequalities Practice Test

Pre-AP Algebra 1 Unit 2 ‒ Systems of Linear Equations and Inequalities Practice Test

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Question 1 of 19

1. Question
Which statement matches the graph?
- Taylor can write 6 words per minute
- Taylor can write 25 words per minute
- Taylor can write 50 words per minute
- Taylor can write 150 words per minute
Correct

Incorrect
Question 2 of 19

2. Question
Dorothy loves to make cakes. The following table shows how the number of eggs that she has left changes as she makes cakes. What is the meaning of the y-intercept?
- She uses 5 eggs for every 2 cakes.
- She started with 47 eggs.
- She uses 47 eggs for every 0 cakes.
- She started with 5 eggs
Correct

Incorrect
Question 3 of 19

3. Question
Solve for x .
x² −5 x−36
- x=−4,9
- x=−6,4
- x=−2,5
- x=0,3
- x=2,12
Correct

Incorrect
Question 4 of 19

4. Question
The product between an integer and another integer that’s 4 units greater is equal to −4. Find these integers.
- 2∧4
- −3∧1
- −1∧2
- −2∧2
- None of these
Correct

Incorrect
Question 5 of 19

5. Question
Solve for x .
ax−b=cd
- None of the other answers
Correct

Incorrect
Question 6 of 19

6. Question
Solve for p, (p−5)(p+3)=0
- 5,−3
- −5,−3
- −5,3
- 5,3
Correct

Incorrect
Question 7 of 19

7. Question
Solve for q, q ² +9q+14=0
- −7,−2
- 7,2
- 7,−2
- 14,1
- −7,2
Correct

Incorrect
Question 8 of 19

8. Question
Solve for x:
3x−1>x+7
- None of the other answers
- x>2
- x<2
- x>4
- x<4
Correct

Incorrect
Question 9 of 19

9. Question
Find the solution set for x: 5.3≥−5x>−8.4
- [−1.68,1.06)
- [−1.68,−1.06)
- (−1.06,1.68]
- (−1.68,1.06]
- [−1.06,1.68)
Correct

Incorrect
Question 10 of 19

10. Question
Solve for p.
5+3p≤2p+12
- p≤19/5
- p≤−7
- p≤75
- p≤7
- p≤17
Correct

Incorrect
Question 11 of 19

11. Question
Find the solution set to the compound inequality: (5y+19<74)⋂(−3y+13>40)
- (−∞,∞)
- (−9,11)
- (−∞,−9)
- (−∞,11)
- (−∞,−9)∪(11,∞)
Correct

Incorrect
Question 12 of 19

12. Question
|4x+14|>30
What is a possible valid value of x?
- -11
- 4
- 1
- -3
- 7
Correct

Incorrect
Question 13 of 19

13. Question
Casper has some whipping cream that is 18% butterfat and some milk that is 4% butterfat. He wants to make a 500 mL mixture of them that is 12% butterfat.
Here’s a graph that shows a system of equations for this scenario where x is the volume of whipping cream he uses and y is the volume of milk he uses.What does point L represent in this context?
- The mixture has more than the intended volume and has the intended percent of butterfat.
- The mixture has less than the intended volume and has more than the intended percent of butterfat.
- The mixture has the intended volume and has the intended percent of butterfat.
- The mixture has the intended volume and has more than the intended percent of butterfat.
Correct

Incorrect
Question 14 of 19

14. Question
How many solutions does the system have?
- Exactly one solution
- No solutions
- Infinitely many solutions
Correct

Incorrect
Question 15 of 19

15. Question
The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarii per day to support 4 legionaries and 4 archers. It only costs 5 denarii per day to support 2 legionaries and 2 archers. Use a system of linear equations in two variables.
Can we solve for a unique cost for each soldier?
- Yes; a legionary costs 1 denarius per day to support, and an archer costs 2 denarii per day to support.
- Yes; a legionary costs 2 denarii per day to support, and an archer costs 4/3 denarii per day to support.
- No; the system has many solutions.
- No; the system has no solution.
Correct

Incorrect
Question 16 of 19

16. Question
The Capulet and Montague families love writing.
Last year, each Capulet wrote 4 essays, each Montague wrote 6 essays, and both families wrote 100 essays in total.
This year, each Capulet wrote 8 essays, each Montague wrote 12 essays, and both families wrote 200 essays in total.
How many Capulets and Montagues are there?
- There is not enough information to determine the exact number of Capulets and Montagues.
- The given information describes an impossible situation.
- There are 16 Capulets and 6 Montagues.
- There are 6 Capulets and 16 Montagues.
Correct

Incorrect
Question 17 of 19

17. Question
Dr. Potter provides vaccinations against polio and measles.
Each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. Last year, Dr. Potter gave a total of 60 vaccinations that consisted of a total of 184 doses.
How many polio vaccinations and how many measles vaccinations did Dr. Potter give last year?
- 32 polio vaccinations; 28 measles vaccinations
- 28 polio vaccinations; 32 measles vaccinations
- 25 polio vaccinations; 28 measles vaccinations
- 32 polio vaccinations; 25 measles vaccinations
Correct

Incorrect
Question 18 of 19

18. Question
Ben is 4 times as old as Ishaan and is also 6 years older than Ishaan. How old is Ishaan?
- 1 years old
- 2 years old
- 3 years old
- 4 years old
- 6 years old
Correct

Incorrect
Question 19 of 19

19. Question
Tiffany is 34 years old and Vanessa is 6 years old.
How many years will it take until Tiffany is only 3 times as old as Vanessa?
- 4 years
- 6 years
- 8 years
- 10 years
- 12 years
Correct

Incorrect

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