Pre-Algebra Final Exam Practice
You must show work for all problems on separate paper to receive
credit.
Short Answer
In the given right triangle, find the missing length to the nearest tenth.
1.
18 ft
17 ft
x
Not drawn to scale
In the given right triangle, find the missing length.
2.
24 m
26 m
a
Not drawn to scale
3.
40 m
c
9m
Not drawn to scale
4. The surface area of the top surface of the water in a circular swimming pool is about 93 square feet. Estimate the
radius of the pool, to the nearest foot.
5. The equation m = 0.3048f gives the relationship between m meters and f feet. Express 26 feet in meters. Round
your answer to the nearest thousandth.
6. What percent of 96 is 72? If necessary, round to the nearest tenth of a percent.
7. Find 42% of 640. Round to the nearest tenth if necessary.
8. One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 110
nautical miles?
Solve the proportion.
9.
10. Convert 10 qt/min to gallons per hour.
Write the decimal as a percent.
11. 1.444
Solve.
12.
13.
14. Paul needs
yards of fabric to make a tablecloth. How many tablecloths can he make from
yards of
fabric?
15. A set of encyclopedias has 27 volumes. Each volume is
inches thick. If the volumes are placed side by
side, how long will the set be?
16. John and Alan have a collection of x baseball cards. John has
cards. What fraction of the cards does Alan
have, written as an expression?
Write the decimal as a fraction or a mixed number in simplest form.
17. 2.
18. 5.
19. 0.125
Write the fraction as a decimal. State whether the decimal is terminating or repeating.
20.
21. Multiply
22. Write
. Express the result in scientific notation.
in standard notation.
Graph on a number line.
23. 3.3
24. Write 81,400 in scientific notation.
25. Write
in simplest form.
Simplify.
26.
27.
28.
29.
30.
31.
32. You buy a shirt that costs $19.98. With tax, you pay $21.38. Write and solve an equation to find the amount of
tax x you paid.
Solve the equation.
33. 12 + 0.35x = 20.05
1
34.  m – 3 = 7
2
35.
36.
37.
38.
3
y–6=6
2
39. The formula for the volume of a sphere is
3.14 for
Find the volume of a sphere with a radius of 4 cm. Use
. Round to the nearest hundredth.
40. Is 5.95 a reasonable quotient for
41. Estimate
? Explain.
.
42. LeRoi received a box of supplies in his craft class, as shown in the table. Estimate the total mass of the supplies
by rounding to the nearest unit.
Item
Scissors
Markers
Tape Measure
Paper
Mass (g)
81.6
20.6
34.8
57.5
43. Together, Louisa and Jill scored more than 30 points in the basketball game. If Jill scored 12 points, how many
points P did Louisa score?
44. Name the like terms in the expression 5a + 8 – 3a + 11.
Use the Distributive Property to multiply.
45. 3(a – 6)
46. Find the quotient –110  11.
47. A basketball drops from a height of 76 in. On bounce 1, it rebounds to a height of 38 in. On bounce 2, it
rebounds to a height of 19 in. How high does the basketball bounce on bounce 5?
48. A checking account is overdrawn if it has a negative balance. Marc’s account is overdrawn by $89. What will
the balance be after he deposits $218 and writes a check for $68?
Compare. Use >, <, or = to complete the statement.
 3 
49. –3
Identify the expression as a numerical expression or a algebraic expression. For a algebraic expression,
name the variable.
50.
 12