Common Core 8.EE.C.8.B worksheet
8th grade (Year 9 in England) · 16 questions · Common Core: 8.EE.C.8.A, 8.EE.C.8.B, HSA.REI.C.6 · England: KS3 Algebra, GCSE Foundation Algebra
Name
Date
Score/ 16
Question 1
The graph shows y = x − 3 and y = x + 2. How many solutions does the system have?
- A. 0
- B. 1
- C. Infinitely many
Question 2
How many solutions does the system y = −5x + 2 and y = −5x + 3 have?
- A. 0
- B. Infinitely many
- C. 1
Question 3
Solve the system: y = −x + 2 and 4x + 3y = 5. Type the solution like (2, −3).
Answer
Question 4
For which value of k does the system y = −2x − 8 and y = kx − 4 have NO solution?
Answer
Question 5
Solve: 2x + 5y = −11 and 4x − 5y = 53. Type the solution like (2, −3).
Answer
Question 6
Solve: x = 3y − 3 and x + y = 13. Type the solution like (2, 3).
Answer
Question 7
Solve: x + y = 1 and 3x − 2y = 23. Type the solution like (2, −3).
Answer
Question 8
How many solutions does this system have? y = −4x + 6 2y = −8x + 12
- A. Exactly one
- B. None
- C. Infinitely many
Question 9
The graph shows y = −2x − 2 and y = −x + 1. What is the solution of the system? Type it like (2, −3).
Answer
Question 10
How many solutions does this system have? −4x + 2y = 2 8x − 4y = −4
- A. Exactly one
- B. None
- C. Infinitely many
Question 11
The graph shows y = −3x − 4 and y = −3x − 3. How many solutions does the system have?
- A. 0
- B. 1
- C. Infinitely many
Question 12
How many solutions does the system y = 5x + 1 and y = 4x + 1 have?
- A. 0
- B. Infinitely many
- C. 1
Question 13
Solve the system: y = −3x + 20 and 3x − 2y = 14. Type the solution like (2, −3).
Answer
Question 14
For which value of k does the system y = −2x − 8 and y = kx − 5 have NO solution?
Answer
Question 15
Solve: 5x + 4y = 23 and 5x − 4y = 7. Type the solution like (2, −3).
Answer
Question 16
Solve: x = 2y − 3 and x + y = 9. Type the solution like (2, 3).
Answer
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