STAAR Grade 8 Math — Practice Test 1

Numerical Representations & Relationships

Choose the best answer or type the correct number. (No calculator for this section.)

1. Which list orders the numbers from LEAST to GREATEST? 2.5, √7, 5/2, 8/3

2. The distance from Earth to the Sun is about 93,000,000 miles. Which expression shows this distance in scientific notation?

3. Between which two consecutive whole numbers does √54 lie?

4. The mass of a single grain of sand is about 0.00006 grams. Written as a × 10^n in scientific notation, what is the value of n? (Type an integer; include a minus sign if negative.)

Linear Relationships & Slope [Calculator allowed]

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[Calculator allowed]

5. What is the slope of the line that passes through the points (2, 3) and (6, 11)?

6. A graphed line passes through the origin and through the point (3, −6). What is the slope of the line?

7. A linear function is shown in the table.
x: 1, 3, 5, 7
y: 8, 14, 20, 26
What is the slope (rate of change) of the function?

8. Which table represents a PROPORTIONAL relationship between x and y?

9. The relationship y = kx is a direct variation. If y = 24 when x = 4, what is the value of the constant k?

10. A pool already contains 50 gallons of water. A hose adds water at a rate of 8 gallons per minute. Which equation gives the total amount of water y (in gallons) after x minutes?

11. A linear function is given by y = −3x + 14. What is the value of y when x = 4? (Type an integer.)

Equations & Systems [Calculator allowed]

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[Calculator allowed]

12. Solve. 5x − 8 = 27

13. Solve. 4x + 9 = 6x − 5

14. Tickets to a concert cost $12 each plus a one-time $5 service fee per order. Which equation gives the total cost C for buying t tickets in a single order?

15. Solve. 3(x − 2) = 18

16. A system of two linear equations is graphed on a coordinate plane. The two lines intersect at exactly one point. What does that intersection point represent?

17. The system y = x + 1 and y = −x + 5 is graphed. The two lines intersect at which point?

18. Solve for x. 7x + 2 = 3x + 30 (Type an integer.)

Geometry & Measurement [Calculator allowed]

Choose the best answer or type the correct number. (A calculator is allowed for this section. Use π = 3.14 unless otherwise stated.)

[Calculator allowed]

19. A right triangle has legs of length 6 cm and 8 cm. What is the length of the hypotenuse?

20. A right triangle has a hypotenuse of 13 in and one leg of 5 in. What is the length of the other leg?

21. What is the distance between the points (1, 2) and (4, 6) on a coordinate plane?

22. Triangle ABC has vertex A at (2, 3). The triangle is translated 4 units right and 2 units down. What are the coordinates of the image A'?

23. Point P is at (5, −3). Point P is reflected across the x-axis to form point P'. What are the coordinates of P'?

24. A figure has vertex (3, 6). The figure is dilated from the origin by a scale factor of 1/3. What are the coordinates of the corresponding image vertex?

25. Find the volume of a cylinder with radius 5 cm and height 10 cm. Use π = 3.14. (V = πr²h)

26. Find the volume of a cone with radius 3 in and height 4 in. Use π = 3.14. (V = (1/3)πr²h) (Type a number rounded to the nearest tenth, in cubic inches.)

27. Find the volume of a sphere with radius 3 cm. Use π = 3.14. (V = (4/3)πr³) (Type a number rounded to the nearest hundredth, in cubic centimeters.)

Data Analysis & Personal Financial Literacy [Calculator allowed]

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[Calculator allowed]

28. A scatter plot shows the number of hours studied (x) and the test score (y) for a class. As x increases, y also tends to increase. Which type of association does the scatter plot show?

29. A line of best fit on a scatter plot of (hours practiced, free throws made out of 20) is given by y = 2x + 4. Based on this model, predict the number of free throws a player will make after practicing 6 hours.

30. Jamal deposits $400 into a savings account that earns 5% simple interest per year. How much interest does he earn after 4 years? (I = P × r × t)

31. A bank account starts with $1,000 and earns 10% interest, compounded annually. What is the balance at the end of 2 years? (Use A = P(1 + r)^t.)

32. Sara borrows $2,000 to buy a laptop. She agrees to repay the loan with 24 monthly payments of $95 each. What is the TOTAL cost of the credit (the interest she pays beyond the original $2,000)? (Type a whole number in dollars, no $ sign.)

33. Which of the following is an ADVANTAGE of a 529 college savings plan when compared with a regular savings account?

Numerical Representations & Relationships

Linear Relationships & Slope [Calculator allowed]

Equations & Systems [Calculator allowed]

Geometry & Measurement [Calculator allowed]

Data Analysis & Personal Financial Literacy [Calculator allowed]

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