SAT Math Practice Questions with Answers

SAT Math Practice Questions with Answers (SAT-Style, Digital SAT)

Preparing for the Digital SAT requires consistent practice with questions that closely match the exam’s structure, logic, and difficulty level. In this blog post, you’ll find SAT-style math practice questions with answers and detailed explanations, carefully designed to reflect the Digital SAT Math section—while remaining fully original and copyright-safe.

These questions focus on the most commonly tested SAT math concepts, including linear equations, systems of equations, algebraic expressions, and problem-solving strategies. Whether you are just starting your SAT preparation or aiming to push your score higher, these SAT-style questions will help you build confidence and accuracy.

⚠️ Note: These are original SAT-style questions, not official College Board questions, but they closely mirror the Digital SAT format.

What to Expect in the Digital SAT Math Section

  • Adaptive test format (Module 1 & Module 2)
  • Emphasis on algebra, problem-solving, and data analysis
  • Calculator allowed for the entire section (including Desmos)
  • Questions range from easy to high difficulty

🟢 Easy SAT-Style Math Questions

Question 1

Solve for

xx

:

x + 9 = 21

Correct Answer: 12

Explanation: Subtract 9 from both sides: x = 21 – 9 = 12

Question 2

If 4x = 28, what is the value of x?

Correct Answer: 7

Explanation: Divide both sides by 4: x = 28/4 = 7

💡 Digital SAT Tip: Simple one-step equations often appear early in Module 1. Solve quickly to save time.

Question 3

What is the value of

yy

if:

y – 5 = 10

Correct Answer: 15

Explanation: Add 5 to both sides: y = 15

🟡 Medium SAT-Style Math Questions

Question 4

Solve:

2 (x-3)=4x-10

Correct Answer: 2

Explanation: Expand both sides: 2x-6=4x-10
Subtract

2x2x

from both sides:  -6=2x-10
Add 10: 4=2x  Divide by 2: x-2

Question 5

If 3x+4=19, what is the value of x?

Correct Answer: 5

Explanation: Subtract 4: 3x=15 Divide by 3: x=5

Question 6

The sum of two consecutive integers is 41. What is the smaller integer?

Correct Answer: 20

Explanation: Let the smaller number be n. The next integer is n+1.
n+(n+1)=41
2n+1=41
2n=40
n=20

💡 Digital SAT Tip: Word problems often test your ability to translate words into equations accurately.

🔴 Hard SAT-Style Math Questions

Question 7

Solve the system of equations:

x+y=10
2x-y=4

Correct Answer: x=4, y=6

Explanation: Add both equations: (x+y)+(2x-y)=10+4
3x=14
x=4
Substitute into : x+y=10: 4+y=10
y=6

Question 8

If x2-9=0 , what are the possible values of x?

Correct Answer: x=3 or x= -3

Explanation: Factor: (x-3)(x+3)=0  Set each factor equal to zero.

Question 9

A rectangle has a perimeter of 54 units. If the length is twice the width, what is the width?

Correct Answer: 9 units

Explanation: Let width = w, length = 2w. Perimeter formula: 2(l+w)=54
2(2w+w)=54
6w=54
w=9

💡 Digital SAT Tip: Geometry questions often combine algebra with formulas—set up equations carefully.

How to Use These SAT-Style Questions Effectively

  • Solve questions timed to simulate test conditions
  • Focus on accuracy first, then speed
  • Review explanations even if you got the answer correct
  • Practice similar questions regularly

Frequently Asked Questions (FAQs)

1. Are these real SAT questions?

No. These are original SAT-style practice questions designed to reflect the Digital SAT format.

2. Are SAT-style questions useful?

Yes. They help you master concepts, improve problem-solving skills, and prepare for real exam difficulty.

3. How many SAT math questions should I practice daily?

Ideally, 10–20 questions per day with full review of mistakes.

4. Do these questions work for the Digital SAT?

Yes. They are structured to match the Digital SAT Math section

Final Thoughts

Practicing SAT-style math questions with answers is one of the most effective ways to improve your Digital SAT score. Consistent practice, combined with strong conceptual understanding, can significantly boost your confidence on test day.

👉 Bookmark this page and check back for SAT Math Practice – Set 2, coming soon!

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