Grade 12 · SAT Math

Grade 12 SAT Math questions and answers

The algebra, geometry, and SAT items US students search most. Written in American English for students, parents, and teachers in the United States.

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Question and answer list

Open a card to see the answer. These are original practice items for US elementary students — not a state test copy.

1. Heart of Algebra on the SAT focuses on

Answer: linear equations, systems, and linear functions

Isolate variables cleanly.

2. If 3x − 7 = 8, x =

Answer: 5

Add 7, divide by 3.

3. A line through (0, 2) with slope −1 is

Answer: y = −x + 2

y = mx + b.

4. Percent change from 80 to 100 is

Answer: 25% increase

(20/80) × 100% = 25%.

5. The mean of 4, 8, and 12 is

Answer: 8

Sum 24 ÷ 3.

6. If 2/3 of a number is 18, the number is

Answer: 27

x = 18 × 3/2.

7. In a right triangle with legs 6 and 8, the hypotenuse is

Answer: 10

6-8-10 is a 3-4-5 multiple.

8. A function table must have

Answer: one output per input

That is the definition of a function.

9. The mean is the

Answer: average (sum divided by count)

Outliers pull the mean.

10. The median is the

Answer: middle value in an ordered list

For an even count, average the two middle numbers.

11. The mode is the

Answer: most frequent value

A set can have more than one mode.

12. The range is

Answer: max − min

It is sensitive to outliers.

13. A survey of only your teammates is

Answer: a biased sample for “all US teens”

Sampling must match the population you name.

14. Correlation is not

Answer: automatically causation

A lurking variable may drive both.

15. A histogram shows

Answer: how values fall into bins

Watch the bin width.

16. An outlier is a point that

Answer: sits far from the other data

Investigate before dropping it.