Example 1 Easy
Which expression is equivalent to 3(x + 4)?
- 3x + 4
- 3x + 7
- 3x + 12
- x + 12
Show answer and explanation
Answer: 3x + 12
Distribute 3 to both terms: 3(x + 4) = 3x + 12.
SAT Math skill page
SAT Equivalent Expressions Practice
Recognize when two algebra expressions say the same thing in different forms.
10-16 min practice time 3 examples on page Advanced Math
What this tests
What to know for this SAT skill
- Distribute and combine like terms
- Factor common factors from expressions
- Rewrite expressions to reveal a value
- Check equivalence by expanding or substituting
Practice examples
Try a few SAT-style questions
Example 2 Medium
Which expression is equivalent to 4x + 12?
- 4(x + 3)
- 4(x + 12)
- x(4 + 12)
- 12(x + 4)
Show answer and explanation
Answer: 4(x + 3)
Factor out the common factor 4: 4x + 12 = 4(x + 3).
Example 3 Hard
If 2a + 2b = 18, what is the value of a + b?
- 6
- 8
- 9
- 18
Show answer and explanation
Answer: 9
Factor the left side: 2(a + b) = 18. Divide by 2 to get a + b = 9.
Quick drills
Practice this skill from more angles
Distribute and combine like terms
Pause before the answer choices, write the rule or setup you need, then check whether the question is asking for the value, the relationship, or the best-supported conclusion.
Factor common factors from expressions
Pause before the answer choices, write the rule or setup you need, then check whether the question is asking for the value, the relationship, or the best-supported conclusion.
Rewrite expressions to reveal a value
Pause before the answer choices, write the rule or setup you need, then check whether the question is asking for the value, the relationship, or the best-supported conclusion.
Check equivalence by expanding or substituting
Pause before the answer choices, write the rule or setup you need, then check whether the question is asking for the value, the relationship, or the best-supported conclusion.
Avoid these traps
Common mistakes on this skill
Solving before naming the task
The SAT often hides the real skill inside familiar wording. Identify the rule, relationship, or question type first.
Choosing an answer that only partly fits
Many wrong answers are close. Check every condition in the question before committing.
Skipping the final check
Reread what the question asks for so you do not answer a nearby but different question.
Study plan
How to practice this skill in Dolphin
- Read the question and name the tested skill before looking at the choices.
- Write the equation, rule, or passage relationship in plain language.
- Eliminate answers that violate the setup or overstate the evidence.
- Review misses by writing the exact trap that pulled you toward the wrong answer.
Related practice
Build the surrounding skills
Skill cluster
Keep practicing SAT Math
FAQ
Questions about SAT Equivalent Expressions Practice
What is the best way to practice SAT Equivalent Expressions Practice?
Start with a few focused examples, review the mistake pattern, then mix the skill into full SAT practice so you can recognize it in context.
Why does this skill matter on the SAT?
It shows up in short, high-leverage questions where one missed rule or setup can quickly cost a point.
Can Dolphin SAT help me drill this skill?
Yes. Dolphin SAT can surface targeted practice, track missed questions, and help you review the patterns that keep repeating.