SAT Word Problems with Systems Questions — Practice with Answers
Practice SAT-style Word Problems with Systems questions from the Algebra section of the SAT Math module. Every question includes a detailed explanation — select an answer, check it immediately, and understand exactly why the correct answer is right.
What These SAT Word Problems with Systems Questions Cover
Topic Focus
Word Problems with Systems — a key area of the Algebra section on the SAT.
Difficulty Range
5 Easy, 3 Medium, and 2 Hard questions — matching the real SAT distribution.
Instant Explanations
Every question includes a step-by-step explanation so you learn from every answer.
SAT Word Problems with Systems Practice Questions
10 QuestionsTwo numbers add up to 20. The larger number is 4 more than the smaller. What are the two numbers?
A classroom has 30 students. There are 6 more girls than boys. How many boys are there?
Tickets to a movie cost 5 for children. A group of 10 people paid $62 total. How many adults were in the group?
A store sells small cups for 3. In one hour, 20 cups are sold for $46 total. How many large cups were sold?
Two trains leave a station simultaneously in opposite directions. Train A travels at 60 mph and Train B at 80 mph. After how many hours are they 420 miles apart?
A chemist mixes a 20% acid solution with a 50% acid solution to get 30 liters of a 30% acid solution. How many liters of the 20% solution should be used?
A boat travels 24 miles downstream in 2 hours and 24 miles upstream in 4 hours. What is the speed of the current?
An investor puts a total of 380. How much was invested in Account A?
A farmer has cows and chickens. He counts 20 heads and 56 legs. How many cows and chickens does he have?
Three years ago, a father was 4 times as old as his son. Three years from now, the father will be 2.5 times as old as his son. How old is the father now?
How to Master SAT Word Problems with Systems
Understand the question type, not just the content
Every Word Problems with Systems question on the SAT follows predictable patterns. Once you recognize the pattern, you can apply a systematic approach — even on questions you haven't seen before.
Always use process of elimination first
On the SAT, there are three definitively wrong answers and one correct one. Training yourself to find the wrong answers often leads you to the right one more reliably than looking for what 'sounds right'.
Review every explanation, even when correct
Understanding why an answer is right is as important as getting it right. Many Word Problems with Systems questions have tricky wrong answers that students sometimes pick for the wrong reasons — even when they get it right.
Practice under time pressure once you understand the content
After you've learned the Word Problems with Systems concepts, set a timer. Each SAT Math question should take roughly 1.2–1.5 minutes. Build speed after accuracy — never before.
Take the Full Word Problems with Systems Practice Test
Ready for a complete practice test? Get all Word Problems with Systems questions in one timed session — with a full score breakdown at the end.
Common Mistakes on SAT Word Problems with Systems Questions
✗Not reading the full question
SAT Word Problems with Systems questions are precisely worded. Missing a single word like "NOT" or "EXCEPT" can flip the entire question. Re-read every question after selecting your answer.
✗Answering from memory instead of the text
Don't try to use calculator shortcuts before understanding what the question is actually asking. Many Math errors come from solving the wrong equation.
✗Rushing past the explanation
Students who skip reviewing explanations after correct answers miss the second layer of learning. Understanding why each wrong answer is wrong is what separates 700-scorers from 800-scorers.
✗Giving up on hard questions too fast
Hard Word Problems with Systems questions are hard by design — they're meant to take more time. A systematic approach (eliminate 2 wrong answers, then compare the remaining 2) works even when you're unsure.
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