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
Name
Date
Score/ 16
Question 1
How many solutions does 5(x − 1) − 5 = 5x − 10 have?
- A. Exactly one solution
- B. No solution
- C. Infinitely many solutions
Question 2
Find the value of c that makes 2(4x + 4) = 8x + c true for every value of x.
Answer
Question 3
For what value of k does −7x + 8 = kx + 11 have no solution?
Answer
Question 4
How many solutions does 6(x + 4) + 6 = 6x + 25 have?
- A. Exactly one solution
- B. No solution
- C. Infinitely many solutions
Question 5
Find the value of c that makes 2(5x − 5) = 10x + c true for every value of x.
Answer
Question 6
For what value of k does −x + 6 = kx + 9 have no solution?
Answer
Question 7
How many solutions does 5(x + 3) + 6 = 4x + 22 have?
- A. Exactly one solution
- B. No solution
- C. Infinitely many solutions
Question 8
Find the value of c that makes 2(7x − 4) = 14x + c true for every value of x.
Answer
Question 9
For what value of k does 2x − 7 = kx − 13 have no solution?
Answer
Question 10
How many solutions does 2(x − 4) + 5 = 2x − 3 have?
- A. Exactly one solution
- B. No solution
- C. Infinitely many solutions
Question 11
Find the value of c that makes 2(7x + 5) = 14x + c true for every value of x.
Answer
Question 12
For what value of k does 4x + 5 = kx + 7 have no solution?
Answer
Question 13
How many solutions does 4(x − 2) + 4 = 4x − 9 have?
- A. Exactly one solution
- B. No solution
- C. Infinitely many solutions
Question 14
Find the value of c that makes 2(3x − 5) = 6x + c true for every value of x.
Answer
Question 15
For what value of k does 3x − 1 = kx − 5 have no solution?
Answer
Question 16
How many solutions does 4(x + 3) − 2 = 4x + 5 have?
- A. Exactly one solution
- B. No solution
- C. Infinitely many solutions
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