SAT — Practice Questions flashcards

6 of 60 questions free to study here · 24 topics · the whole deck is built into Willys

Multiple-choice practice questions, one best answer each, on digital SAT Math (algebra, advanced math, data analysis, geometry and trig) and Reading and Writing words in context and transitions.

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Practice deck · part of Digital SAT · written against: Digital SAT (2024 onward). Updated 2026-10-10.

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If $3(x - 4) + 2x = 7x - 20$ ⁠, what is the value of $x$ ⁠?

A) $8$
B) $4$
C) $2$
D) $-4$

B) $4$

Distributing gives $5x - 12 = 7x - 20$ ⁠, so $2x = 8$ and $x = 4$ ⁠. The tempting 8 comes from multiplying only the $x$ inside the parentheses by 3 and leaving the $-4$ unchanged.
Linear Equations
A store raises the price of a jacket by 25% and later lowers the new price by 20%. The final price is what percent of the original price?

A) 95%
B) 105%
C) 96%
D) 100%

D) 100%

Successive changes multiply: $1.25 \times 0.80 = 1.00$ ⁠, so the final price equals the original. Adding the percents to get 105% is the classic slip, because the 20% is taken from the larger, raised price.
Percents · Ratios & Rates
In right triangle $ABC$ ⁠, angle $C$ measures $90^\circ$ and $\sin A = \frac{12}{13}$ ⁠. What is the value of $\cos B$ ⁠?

A) $\frac{5}{13}$
B) $\frac{12}{13}$
C) $\frac{13}{12}$
D) $\frac{5}{12}$

B) $\frac{12}{13}$

Angles $A$ and $B$ are complementary, and the side opposite $A$ is the side adjacent to $B$ ⁠, so $\cos B = \sin A = \frac{12}{13}$ ⁠. $\frac{5}{13}$ is $\cos A$ ⁠, which equals $\sin B$ ⁠.
Triangles & Trig
The claim that the herbal tea improves sleep rests largely on ______ evidence: a collection of personal testimonials gathered online rather than results from a controlled study.

Which choice completes the text with the most logical and precise word or phrase?

A) anecdotal
B) rigorous
C) empirical
D) credible

A) anecdotal

Anecdotal evidence comes from personal accounts rather than systematic research, which is exactly what a set of testimonials is. Empirical and rigorous would describe the kind of careful, experimental support the text says is missing.
Evidence & Proof
Once handheld satellite receivers could fix a ship's position within a few meters, the sextant that navigators had relied on for centuries became largely ______ for everyday navigation.

Which choice completes the text with the most logical and precise word or phrase?

A) conventional
B) unprecedented
C) innovative
D) obsolete

D) obsolete

Obsolete means outdated and set aside for something better, which fits a tool superseded by satellite receivers. Conventional describes standard practice — what the sextant was before receivers arrived, not what it became. Unprecedented and innovative describe something new, the opposite of a tool that newer technology replaced.
Old & New
Only after battery costs fell sharply did electric delivery vans become a commercially ______ option for small businesses, which had previously found them too expensive to operate.

Which choice completes the text with the most logical and precise word or phrase?

A) obsolete
B) vulnerable
C) arbitrary
D) viable

D) viable

Viable means capable of working successfully, which fits vans that became a practical business choice once costs fell. Vulnerable means exposed to harm, which does not describe an option that has just become affordable.
Feasibility & Strength

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About these cards

Review status: Second-reader reviewed, with corrections applied.

Checked against:

Math checked against the digital SAT Math reference sheet as published by College Board; reference only, all wording original.
OpenStax College Algebra 2e and OpenStax Introductory Statistics 2e, consulted as references; no text copied.
Word senses checked against Merriam-Webster.com, the American Heritage Dictionary and the Oxford Learner's, Longman and Cambridge dictionaries.

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