15 easy SAT Systems of two linear equations questions

These are the questions most test-takers get right. They are worth practising anyway: on the digital SAT the easy questions in Module 1 are what route you into the harder, higher-scoring Module 2, so dropping one costs more than it looks.

Every question below is a real item from the SAT Climb bank, tagged easy by the same difficulty model the app uses to build your practice. Pick an answer before you open the explanation.

Math · Algebra~3 per testEasy tier
Question 1Easy

What is the value of x in the system of equations? 6x+y=386x + y = 38 3x−y=73x - y = 7

Show the answer and explanation

Why D is right

Adding the two equations yields 9x=459x = 45, so x=5x = 5. Substituting x=5x = 5 into the second equation gives 15−y=715 - y = 7, which confirms y=2y = 2.

Why the others are wrong

  • AThis may result from calculation errors when adding the equations or dividing incorrectly.
  • BThis may result from a sign error when solving the system.
  • CThis is the value of y, not x. The question asks for the value of x.
Question 2Easy

Mia bought 3 notebooks and 5 pens for $19. Carlos bought 2 notebooks and 3 pens for $12. How many notebooks are in Carlos's purchase?

Show the answer and explanation

Why C is right

Let n be the price of a notebook and p be the price of a pen. From Mia's purchase: 3n+5p=193n + 5p = 19. From Carlos's purchase: 2n+3p=122n + 3p = 12. Solving this system yields n=2n = 2 and p=2.67p = 2.67 (approximately), but we only need to identify that Carlos bought 2 notebooks, which is stated directly in the problem.

Why the others are wrong

  • AThis is the number of pens Carlos bought, not notebooks.
  • BThis results from an arithmetic error in solving the system.
  • DThis results from adding the total number of items instead of identifying the quantity asked.
Question 3Easy

What is the value of x in the system of equations? 3x−y=113x - y = 11 x+y=9x + y = 9

Show the answer and explanation

Why C is right

Adding the two equations yields 4x=204x = 20, so x=5x = 5. Substituting x=5x = 5 into the second equation gives 5+y=95 + y = 9, which confirms y=4y = 4.

Why the others are wrong

  • AThis may result from calculation errors when adding the equations or dividing incorrectly.
  • BThis is the value of y, not x. The question asks for the value of x.
  • DThis may result from a sign error when solving the system.
Question 4Easy

Carlos bought 4 apples and 3 oranges for $9. Emma bought 2 apples and 5 oranges for $11. How many oranges are in Emma's purchase?

Show the answer and explanation

Why C is right

Let a be the price of an apple and o be the price of an orange. From Carlos's purchase: 4a+3o=94a + 3o = 9. From Emma's purchase: 2a+5o=112a + 5o = 11. The question asks how many oranges are in Emma's purchase, which is directly stated as 5.

Why the others are wrong

  • AThis is the number of apples in Emma's purchase, not the number of oranges.
  • BThis results from an arithmetic error, possibly adding the quantities from both purchases incorrectly.
  • DThis incorrectly adds the number of apples and oranges in Emma's purchase instead of identifying just the oranges.
Question 5Easy

What is the value of x in the system of equations? 4x−2y=184x - 2y = 18 2x+2y=122x + 2y = 12

Show the answer and explanation

Why D is right

Adding the two equations yields 6x=306x = 30, so x=5x = 5. Substituting x=5x = 5 into the second equation gives 10+2y=1210 + 2y = 12, which confirms y=1y = 1.

Why the others are wrong

  • AThis is the value of y, not x. The question asks for the value of x.
  • BThis may result from failing to divide by 6 after obtaining 6x = 30.
  • CThis may result from a sign error when solving the system.
Question 6Easy

Elena bought 9 tickets and 4 posters for $41. Marcus bought 6 tickets and 7 posters for $43. How many tickets are in Marcus's purchase?

Show the answer and explanation

Why D is right

Let t be the price of a ticket and p be the price of a poster. From Elena's purchase: 9t+4p=419t + 4p = 41. From Marcus's purchase: 6t+7p=436t + 7p = 43. The question asks for the number of tickets in Marcus's purchase, which is stated directly as 6.

Why the others are wrong

  • AThis is the number of posters Marcus bought, not tickets.
  • BThis is the number of tickets Elena bought, resulting from confusing the two purchases.
  • CThis results from adding the total items Marcus bought instead of identifying tickets only.
Question 7Easy

What is the value of x in the system of equations? 5x+3y=415x + 3y = 41 2x−3y=12x - 3y = 1

Show the answer and explanation

Why C is right

Adding the two equations yields 7x=427x = 42, so x=6x = 6. Substituting x=6x = 6 into the second equation gives 12−3y=112 - 3y = 1, which confirms y=5y = 5.

Why the others are wrong

  • AThis may result from a sign error when solving the system.
  • BThis is the value of y, not x. The question asks for the value of x.
  • DThis may result from calculation errors when adding the equations.
Question 8Easy

Rachel bought 8 pencils and 3 folders for $23. David bought 5 pencils and 6 folders for $29. How many folders are in David's purchase?

Show the answer and explanation

Why D is right

Let p be the price of a pencil and f be the price of a folder. From Rachel's purchase: 8p+3f=238p + 3f = 23. From David's purchase: 5p+6f=295p + 6f = 29. The question asks for the number of folders in David's purchase, which is stated directly as 6.

Why the others are wrong

  • AThis results from adding the total items David bought instead of identifying folders only.
  • BThis is the number of pencils David bought, not folders.
  • CThis is the number of folders Rachel bought, resulting from confusing the two purchases.
Question 9Easy

What is the value of y in the system of equations? 3x+4y=343x + 4y = 34 x=6x = 6

Show the answer and explanation

Why C is right

Substituting x=6x = 6 into the first equation gives 3(6)+4y=343(6) + 4y = 34, which simplifies to 18+4y=3418 + 4y = 34, so 4y=164y = 16 and y=4y = 4.

Why the others are wrong

  • AThis may result from failing to divide by 4 after obtaining 4y = 16.
  • BThis is the value of x, not y. The question asks for the value of y.
  • DThis may result from a sign error when isolating y.
Question 10Easy

Aiden bought 6 markers and 4 erasers for $26. Olivia bought 3 markers and 5 erasers for $21. How many markers are in Olivia's purchase?

Show the answer and explanation

Why C is right

Let m be the price of a marker and e be the price of an eraser. From Aiden's purchase: 6m+4e=266m + 4e = 26. From Olivia's purchase: 3m+5e=213m + 5e = 21. The question asks for the number of markers in Olivia's purchase, which is stated directly as 3.

Why the others are wrong

  • AThis is the number of erasers Olivia bought, not markers.
  • BThis results from adding the total items instead of identifying the count asked.
  • DThis results from an arithmetic error in interpreting the given information.
Question 11Easy

What is the value of y in the system of equations? 7x+4y=307x + 4y = 30 7x−2y=187x - 2y = 18

Show the answer and explanation

Why A is right

Subtracting the second equation from the first eliminates the 7x terms and yields 6y=126y = 12, so y=2y = 2. Substituting y=2y = 2 into either equation confirms the solution.

Why the others are wrong

  • BThis results from a sign error when solving for y.
  • CThis is approximately the value of x, not y.
  • DThis is the value of 6y before dividing by 6.
Question 12Easy

Mia bought 3 notebooks and 2 pens for $11. Jordan bought 5 notebooks and 4 pens for $19. How many notebooks are in Jordan's purchase?

Show the answer and explanation

Why C is right

Let n be the price of a notebook and p be the price of a pen. From Mia's purchase: 3n+2p=113n + 2p = 11. From Jordan's purchase: 5n+4p=195n + 4p = 19. The question asks how many notebooks are in Jordan's purchase, which is directly stated as 5.

Why the others are wrong

  • AThis is the number of notebooks in Mia's purchase, not Jordan's purchase.
  • BThis is the number of pens in Jordan's purchase, not the number of notebooks.
  • DThis results from an arithmetic error when misreading the problem statement.
Question 13Easy

Emma bought 4 apples and 6 oranges for $22. Liam bought 3 apples and 2 oranges for $13. How many oranges are in Liam's purchase?

Show the answer and explanation

Why D is right

Let a be the price of an apple and o be the price of an orange. From Emma's purchase: 4a+6o=224a + 6o = 22. From Liam's purchase: 3a+2o=133a + 2o = 13. The question asks for the number of oranges in Liam's purchase, which is stated directly as 2.

Why the others are wrong

  • AThis is the number of apples Liam bought, not oranges.
  • BThis results from an arithmetic error in setting up or solving the system.
  • CThis results from multiplying quantities instead of identifying the count asked.
Question 14Easy

Sophia bought 5 sandwiches and 3 drinks for $28. Noah bought 2 sandwiches and 4 drinks for $18. How many drinks are in Noah's purchase?

Show the answer and explanation

Why B is right

Let s be the price of a sandwich and d be the price of a drink. From Sophia's purchase: 5s+3d=285s + 3d = 28. From Noah's purchase: 2s+4d=182s + 4d = 18. The question asks for the number of drinks in Noah's purchase, which is stated directly as 4.

Why the others are wrong

  • AThis is the number of sandwiches Noah bought, not drinks.
  • CThis results from an arithmetic error when solving the system.
  • DThis results from doubling the quantity instead of identifying the count asked.
Question 15Easy

Jake bought 7 bagels and 2 coffees for $17. Ava bought 4 bagels and 3 coffees for $14. How many coffees are in Ava's purchase?

Show the answer and explanation

Why D is right

Let b be the price of a bagel and c be the price of a coffee. From Jake's purchase: 7b+2c=177b + 2c = 17. From Ava's purchase: 4b+3c=144b + 3c = 14. The question asks for the number of coffees in Ava's purchase, which is stated directly as 3.

Why the others are wrong

  • AThis is the number of bagels Ava bought, not coffees.
  • BThis results from using the wrong purchase's quantity.
  • CThis is the number of coffees Jake bought, resulting from confusing the two purchases.

What to do after easy

Getting these right quickly is the point: speed on the easy questions is what buys time for the hard ones. When they stop costing you effort, move up.

Questions are written by SAT Climb and drawn from its own item bank. SAT® is a registered trademark of College Board, which is not affiliated with and does not endorse SAT Climb.