Name_________________________________________________________
Chapter
7
MA08 Study Guide
Date __________
(Show ALL work on lined paper.)
Evaluate the expression.
0.25 
1.

0.64

33 
2
2. 6 1331  42
3
3.
1
1
2
64
2
4. A cube-shaped aquarium has a volume of 1728 cubic inches. What is the width of the
aquarium? Use the correct label of units.
Solve the equation for x.
5. 3𝑥 2 + 6 = 18
6. 𝑥 3 + 7 = 350
Find the missing length of the triangle.
7.
8.
9. A toy marble run has ramps and
turnaround points. Each ramp is 41
centimeters long. The turnaround is
2 centimeters wide and flat, and the
entire toy is 42 centimeters wide,
as shown.
How tall is the toy?
Classify the real number. Explain if it is rational or irrational and why or why not.
10. 1
5
7
11. 
3
12.
1
8
Estimate the square root to the nearest (a) integer and (b) tenth.
13. 
46
14.
190
Determine the decimal value to the tenths place then plot each point on a number line..
15.
4.4, 2.2 ,
17, 4.5 ,
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Find the distance between the two points.
16.
10, 9, 10, 12
17.
10,  4, 14, 6
Tell whether the triangle with the given side lengths is a right triangle.
18. 8 ft, 15 ft, 17 ft
19. 14 km, 48 km, 50 km
20. Find the side lengths of the triangle in the figure. Is it a right triangle? Explain your
reasoning.
21. The diagonal of a square is 2 inches.
Find the area of the square.
22. Write the Pythagorean Theorem and Explain its concept in terms of squares, and draw a
diagram to mathematically prove it.
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