SAT Math — Practice Test 1

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Algebra

Choose the best answer or type the correct number.

1. If 5x + 12 = 47, what is the value of x?

2. Solve for x. 3(x − 4) = 2x + 5

3. What is the solution to the system? y = 2x + 1 and y = −x + 7

4. Solve for x. 7x − 9 = 4x + 12 (Type an integer.)

5. Solve the system using elimination. 2x + y = 11 and x − y = 4

6. Solve. 4x + 3 > 19

7. Solve. −3x + 5 ≤ 14

8. A line passes through the points (1, 3) and (5, 11). What is the slope of the line? (Type an integer.)

9. What is the y-intercept of the line 3x + 4y = 24?

10. Which line is PERPENDICULAR to the line y = (2/3)x + 5?

11. A taxi company charges a flat fee of $3 plus $2 per mile. If the total fare for a ride is $19, how many miles long was the ride? (Type an integer.)

12. A small concert hall sells adult tickets for $12 and student tickets for $8. If the hall sold 200 tickets for a total of $2,000, how many adult tickets were sold?

13. A gym membership costs $30 to start plus $25 per month. Which equation gives the total cost y after x months?

14. The graph of f(x) = 3x − 7 is a line. What is the value of f(x) when x = 5? (Type an integer.)

Advanced Math

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15. What are the solutions of x^2 − 7x + 10 = 0?

16. What is the vertex of the parabola y = (x − 4)^2 − 3?

17. Solve using the quadratic formula. x^2 + 2x − 8 = 0

18. Which expression is equivalent to (x + 5)^2?

19. What is the positive solution of x^2 = 36? (Type an integer.)

20. Multiply and simplify. (2x − 3)(x + 4)

21. Which expression is equivalent to (3x^2 + 5x − 2) − (x^2 − 2x + 7)?

22. Factor completely. x^2 − 9

23. A function is defined by f(x) = 2(3)^x. What is f(2)?

24. If 2(3)^x = 162, what is the value of x? (Type an integer.)

25. A bacteria population starts at 200 and triples every hour. Which equation models the population P after t hours?

26. Solve. √(x + 5) = 4

27. Solve for x. (x + 2)/3 = 4

28. The line y = x + 2 intersects the parabola y = x^2 at two points. What is the SUM of the x-coordinates of the two intersection points? (Type an integer.)

Problem-Solving and Data Analysis

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29. A car travels 240 miles in 4 hours at a constant rate. At this rate, how far will the car travel in 7 hours?

30. A jacket originally priced at $80 is on sale for 25% off. What is the sale price?

31. The data set below shows the test scores of 5 students. What is the median score?
72, 85, 90, 78, 84

32. A scatterplot shows a strong positive linear association between hours studied (x) and exam score (y). The line of best fit is y = 5x + 60. Predict the exam score for a student who studies 6 hours. (Type an integer.)

33. A standard six-sided die is rolled once. What is the probability that the result is an even number greater than 2?

34. A random sample of 200 voters showed that 120 supported a new park, with a margin of error of ±4 percentage points. Based on the sample, which range BEST estimates the percent of all voters who support the new park?

35. The two-way table shows survey results for students who chose either Math or Science as their favorite subject.

	Math	Science	Total
Grade 9	30	20	50
Grade 10	25	25	50
Total	55	45	100

What is the total number of students who chose Math? (Type an integer.)

Geometry and Trigonometry

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36. A rectangle has length 12 cm and width 5 cm. What is the area of the rectangle?

37. A right circular cylinder has a radius of 3 in and a height of 10 in. Using V = πr^2h, what is the volume of the cylinder in cubic inches? (Use π and leave the answer in terms of π.)

38. Two parallel lines are cut by a transversal. One of the angles formed measures 65°. Which of the following could be the measure of the angle that is the SUPPLEMENT of the corresponding angle on the other line?

39. In a 45°-45°-90° triangle, the legs each have length 7. What is the length of the hypotenuse? (Type the integer that goes before √2; for example, if the answer is 5√2, type 5.)

40. In right triangle ABC, angle C is the right angle. The leg opposite angle A has length 3 and the leg adjacent to angle A has length 4. What is the value of sin(A)?

41. A right triangle has legs of lengths 6 and 8. What is the length of the hypotenuse? (Type an integer.)

42. A circle has a radius of 6 cm. A sector of the circle has a central angle of 60°. What is the area of the sector? (Leave the answer in terms of π.)

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