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?

Write an equation of the inverse variation that includes
the given point.

1. ( 2 , 2 )

2. (-8, -4)

Identify the excluded value for each rational function.

D Ff \ 19 “1“ X

3-/W = ^ r y

(^4) yV = — — — 8x — 12
Identify the asymptotes of each function. Then graph
the function,
c 6
5- y=x
6- y - | + 3

7. fix) x - 2

Simplify each expression. State any excluded values.
6p — 30
8.

9.

3p- 15

n2 + 4n — 5

n + 5

Multiply or divide.

10.^3

x — 2

x2 - 4

12

5x ^ 3Ox

x2 + 2x x + 2

Divide.

12. (12x4 + 9X3 - 10x2) -5- 3X3


13. (4x4 - 6X3 - 2x2 - 2x) - (2x - 1)

Find the LCD of each pair of expressions.

14.5 6

15.

h' 3 h

a2b3' dab4

Add or subtract.

16.4b-2 , b

3 b b + 2

17.nn+^8 1

Solve each equation. Check your solutions.

v -4

18-! + ,+ 5

19.^16

v+ 5

8

x + 10 2x - 1

20. Cleaning Mark can clean his father's office in
    30 min. His younger sister Lynn can clean the office
    in 40 min. How long will it take the two of them
    together to clean the office?

Do y o u UN DERSTAND?

21. Open-Ended Write a rational expression for which
    6 and 3 are excluded values.


22. Geometry The height of a square prism is 3n + 1.
    The volume of the prism is 3n3 + 13 n2 + 16n + 4.
    What is the area of the square base of the prism?

23 Reasoning Rosa divided a polynomial p{x) by

x — 4 and obtained this result: 2x

What is p (x)?

(^13) x - 4-^59

24. Error Analysis Your friend says the solution of the
    rational equation mm 3 + | = m3_ 3 is 3. Explain
    the error that your friend may have made.


25. Reasoning^ Consider the equation^3 ~ x=a-x
    For what value(s) of a does the equation have exactly
    one solution? No solution? Explain.

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