Solve a linear system by adding or subtracting equations
9th grade (Year 10 in England) · 16 questions · Common Core: HSA.REI.C.5, HSA.REI.C.6 · England: GCSE Foundation Algebra, GCSE Higher Algebra
Name
Date
Score/ 16
Question 1
Solve: 5x + 3y = −2 5x + y = −4 Type the solution like (2, −1).
Answer
Question 2
Which first move eliminates y straight away? 5x + 6y = −2 x + 7y = −7
- A. Add the equations
- B. Subtract the equations
- C. Multiply one equation first
Question 3
Solve: −2x + 2y = 24 4x − 2y = −36 Type the solution like (2, −1).
Answer
Question 4
Solve: x − 3y = −11 x + y = 1 Type the solution like (2, −1).
Answer
Question 5
Which first move eliminates y straight away? 5x + 5y = −4 x + 5y = 2
- A. Add the equations
- B. Subtract the equations
- C. Multiply one equation first
Question 6
Solve: 2x + 4y = −32 −x − 4y = 28 Type the solution like (2, −1).
Answer
Question 7
Solve: 5x − 3y = −10 5x + 3y = −40 Type the solution like (2, −1).
Answer
Question 8
Which first move eliminates y straight away? 5x + 6y = −9 4x + 8y = 3
- A. Add the equations
- B. Subtract the equations
- C. Multiply one equation first
Question 9
Solve: −3x + 4y = −23 2x − 4y = 18 Type the solution like (2, −1).
Answer
Question 10
Solve: 2x + 3y = 4 2x − y = −12 Type the solution like (2, −1).
Answer
Question 11
Which first move eliminates y straight away? 2x + 5y = 7 2x − 5y = −1
- A. Add the equations
- B. Subtract the equations
- C. Multiply one equation first
Question 12
Solve: 2x + 3y = 1 3x − 3y = −6 Type the solution like (2, −1).
Answer
Question 13
Solve: x − 3y = −6 x − 2y = −4 Type the solution like (2, −1).
Answer
Question 14
Which first move eliminates y straight away? 5x + y = 2 3x + 2y = 1
- A. Add the equations
- B. Subtract the equations
- C. Multiply one equation first
Question 15
Solve: 4x + 5y = −1 4x − 5y = 9 Type the solution like (2, −1).
Answer
Question 16
Solve: 5x + 5y = −50 5x + 2y = −38 Type the solution like (2, −1).
Answer
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