Decide if a linear equation has one, none or infinitely many solutions
9th grade (Year 10 in England) · 16 questions · Common Core: 8.EE.C.7.A, HSA.REI.B.3 · England: GCSE Foundation Algebra
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Date
Score/ 16
Question 1
How many solutions does 2(x − 5) = 3x − 5 have?
- A. Exactly one solution
- B. No solution
- C. Infinitely many solutions
Question 2
Find the value of c that makes 4(4x + 3) = 16x + c true for every value of x.
Answer
Question 3
For what value of k does 7x − 5 = kx − 9 have no solution?
Answer
Question 4
How many solutions does 6(x + 4) − 8 = 6x + 16 have?
- A. Exactly one solution
- B. No solution
- C. Infinitely many solutions
Question 5
Find the value of c that makes 4(3x + 7) = 12x + c true for every value of x.
Answer
Question 6
For what value of k does −4x − 5 = kx + 1 have no solution?
Answer
Question 7
How many solutions does 6(x − 1) = 5x − 8 have?
- A. Exactly one solution
- B. No solution
- C. Infinitely many solutions
Question 8
Find the value of c that makes 3(5x − 7) = 15x + c true for every value of x.
Answer
Question 9
For what value of k does −3x + 9 = kx + 8 have no solution?
Answer
Question 10
How many solutions does 4(x − 5) − 1 = 4x − 25 have?
- A. Exactly one solution
- B. No solution
- C. Infinitely many solutions
Question 11
Find the value of c that makes 4(3x + 7) = 12x + c true for every value of x.
Answer
Question 12
For what value of k does 6x + 6 = kx + 9 have no solution?
Answer
Question 13
How many solutions does 3(x + 2) − 8 = 3x − 2 have?
- A. Exactly one solution
- B. No solution
- C. Infinitely many solutions
Question 14
Find the value of c that makes 3(6x + 3) = 18x + c true for every value of x.
Answer
Question 15
For what value of k does 6x + 4 = kx + 2 have no solution?
Answer
Question 16
How many solutions does 3(x + 1) − 5 = 3x − 5 have?
- A. Exactly one solution
- B. No solution
- C. Infinitely many solutions
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