Algebra 1 Common Core Student Edition, Grade 8-9

Ch ap t er Test MathXL® for School

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Do y o u k n o w H OW?

Use the triangle below. Find the missing side length. If

necessary, round to the nearest tenth.

1. a = 28, b = 35


2. a = 12, b = 35 a


3. b = 4.0, c = 4.1


4. a = 10, c = 26

State whether segments of the given lengths can be

sides of a right triangle.

5. 7, 24, 25

6. 0. 9 , 1 .2 , 1 .5

7. 8,16,17

Simplify each radical expression.

8. V 3 + V I 2

9. V300


10. 4V T0- VTo

11 .-V l8

12.

13.

14.

Vl2

1

V3 + 4

V 6

4-V6

V 2

V2 + 3

15. 
    
    
    
    • 3 V 5 V • VlOx3
    
    
    
    

Solve the following radical equations. Check
your solutions.

16. V2x + 4 = 7 17. Vk - 8 = 28


17. V3nZ + - = 1


18. V2 - x =.


19. V2x + 4 = V3x


20. V~5a + 6 = —a

Graph each function.

22. y = Vx + 2


23. y = V x - 3


24. y = V x + 5

For each triangle, find the missing side length.

25.

27. A right triangle h as a 50° angle. The hypotenuse is
    10 cm long. To the n ea rest tenth, w hat is the length of
    th e side opposite th e 50° angle?

Do y o u UN DERSTAN D?

28. Reasoning Draw right A ABC w ith AB as th e right
    angle. W hat is th e relationship betw een sin A and
    cos C? Explain.


29. Open-Ended Give an exam ple of a radical equation
    for w hich all solutions are extraneous. W hat is the
    solution to the equation? How do you know?


30. Reasoning Is the following conditional statem ent
    always true? "If a right triangle has a leg th at is 3 in.
    long a n d a leg th a t is 4 in. long, th e n th e hypotenuse
    is 5 in. long.” Is its converse always true? Explain.


31. Writing Explain how you w ould simplify the radical
    expression ^ 2+.


32. Geometry Find th e length of a diagonal of a square
    w ith a side length of 3 in. Is th e length of the diagonal
    a rational num ber? Explain.

Po w er A l g eb r a.co m Chapter 10 Ch ap t er Test 657