About this test · ~4 min read
What Practice Test 6 covers
Practice Test 6 opens the harder half of the bank. Its themes are interpreting linear models, recognizing equivalent algebraic expressions, triangle similarity, and ratio-and-proportion reasoning. Many questions ask you to see that two differently written expressions are actually the same, or that two figures share a scale factor.
Difficulty level
Hard-leaning. The proportion of easy questions drops sharply compared with Tests 1–5; expect to slow down and reason more per question.
Skills tested
- Interpreting the parameters of a linear model in context
- Recognizing equivalent forms of an expression
- Similar triangles and scale factors
- Setting up and solving proportions
- Ratio reasoning across quantities
Who should take this test
Students aiming for an above-average score who are ready to leave the easy questions behind. Best taken after you can comfortably clear Tests 1–5.
Study tips
- When two expressions look different, expand or factor one until it matches the other — equivalence questions reward algebraic manipulation, not guessing.
- For similar triangles, write the corresponding sides as a single proportion before cross-multiplying.
- Keep ratios in the same order throughout a problem; swapping the order of a ratio midway is a silent, costly error.
Common mistakes
- Assuming two triangles are similar without confirming equal angles or proportional sides.
- Setting up a proportion with mismatched corresponding parts.
- Interpreting the slope of a linear model as a total rather than a per-unit rate.
Worked example
Triangle ABC is similar to triangle DEF. Side AB = 6 corresponds to DE = 9, and BC = 8. What is the length of the corresponding side EF?
Similar triangles have proportional corresponding sides, so AB/DE = BC/EF.
The scale factor from ABC to DEF is DE/AB = 9/6 = 3/2.
Multiply the known side by the scale factor: EF = BC · (3/2) = 8 · (3/2).
Compute: 8 · 3 / 2 = 24 / 2 = 12.
Answer: EF = 12.
Frequently asked questions
What does "equivalent expressions" actually mean on the SAT?
It means two expressions that produce the same value for every input, even though they are written differently. The test wants you to expand, factor, or combine terms to prove the match rather than to plug in numbers.
How do I know when two triangles are similar?
They are similar if their angles match (AA), or if their corresponding sides are all in the same ratio. Once similarity is established, every pair of corresponding sides shares one scale factor.
Why is Practice Test 6 noticeably harder?
It begins the advanced half of the bank, so the easy-question cushion is smaller and more questions require a setup step before any computation. A dip in score here is expected.
What is the key to ratio and proportion questions?
Consistency of order. Decide which quantity is the numerator and which is the denominator, then hold that arrangement for the entire problem so corresponding parts always line up.