Practice test

SAT Practice 1

Practice 1 for SAT: 25 questions, explained answers, and a review routine.

These questions are for study practice only and are not official exam questions.

Question 1

1

If x^2 + y^2 = 25 and x + y = 7, what is xy?

Question 2

2

For which value of k does 5x + 10 = k(x + 2) have infinitely many solutions?

Question 3

3

Original passage: A city's bicycle counts rose after new lanes opened. During the same period, fuel prices also rose sharply. Which finding would best help separate the effects of the lanes from fuel prices?

Question 4

4

Which sentence avoids an ambiguous pronoun?

Question 5

5

For f(x) = x^2 - 8x + 10, what is the x-coordinate of the vertex?

Question 6

6

A theater sold 80 tickets. Adult tickets cost $12 and student tickets cost $8. Revenue was $800. How many adult tickets were sold?

Question 7

7

Original passage: The potter kept the cracked bowl on a high shelf. Visitors saw a failed piece; she saw the first glaze that had produced the blue she wanted. What does the contrast reveal?

Question 8

8

Which revision is most concise without changing meaning: The final outcome of the vote was completely unanimous?

Question 9

9

A substance starts at 160 g and halves each hour. How much remains after 3 hours?

Question 10

10

A gym charges a $24 joining fee and $18 per month. Which expression gives the total cost in dollars for m months, including the joining fee?

Question 11

11

Original passage: A survey reports that 70% of 200 park visitors support longer opening hours. A student uses this to claim that 70% of all city residents support the change. What additional information is most relevant to evaluating the claim?

Question 12

12

Which sentence uses a colon appropriately?

Question 13

13

The functions f(x) = x^2 and g(x) = 3x - 2 are given. What is f(g(2))?

Question 14

14

What is the solution set of -2x + 5 > 13?

Question 15

15

Original passage: A translator preserved the poem's repeated sounds but altered several images. She explained that the sound pattern carried the urgency she considered central. What does the passage chiefly illustrate?

Question 16

16

Choose the best sentence combination: The instrument is small. It can detect very weak signals.

Question 17

17

What are the solutions of x^2 - 5x + 6 = 0?

Question 18

18

What is the solution to (x - 1)/3 + (x + 2)/2 = 6?

Question 19

19

Original passage: A library replaced some tall shelves with low movable ones. Book capacity declined slightly, but staff could create space for workshops in minutes. Attendance at evening events then increased. Which statement best expresses the passage's central idea?

Question 20

20

Which sentence correctly places the modifier?

Question 21

21

For x not equal to 3, simplify (x^2 - 9)/(x - 3).

Question 22

22

For the system y = 3x + 2 and 2y = kx + 9, which k makes the lines parallel with no common point?

Question 23

23

Original passage: Early surveys counted birds only near roads. A later survey included remote wetlands and recorded several species absent from the earlier lists. Which evidence would most directly support the explanation that survey location caused the difference?

Question 24

24

Which sentence uses commas correctly when the writer has only one sister?

Question 25

25

If f(x) = (x - 1)(x + 6), what is f(1)?

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