Algebra 1 Common Core Student Edition, Grade 8-9

Lesson 4-6

Lesson 4-4

Evaluate each expression for a = —l,b = 3, and c = — 2.

3. be - 3 a2


4. c2 + 2 ab — 1


5. 2a — b2 + c
   b2 - 4 ac

ab

2 a

5. 5 a + 2b{c - 1 )

# Graphing Functions

Graph each function.

7. y = x


8. y = 2x - 5

8 -y= -x2

11. y = 2|x

Evaluating Function Rules

Evaluate each function rule for x = - 6.

13. /(x ) = —3x2


14. f{x) = (1 +x)2
    14. h(x) = x + 6x
    17. g(x) = |x2
    9. y= |jc|


15. y = —4x + 3


16. g(x) = ( x - l ) 2


17. h(x) = (2x)2

Lesso n s 8-5
and 8-6

^ Factoring

Factor each expression.

19. 4 x2 + 4x+ 1 20. 5x2 + 32x - 21 21.8x2- 10x + 3


20. x2- 18x+81 23. 12y2 + 8y - 15 24. m2 - 7m - 18

|Q§ Looking Ahead Vocabulary

25. Use your knowledge of the definition of a quadratic polynomial to make a
    conjecture about the definition of a quadratic function.


26. The graph of a quadratic function is a U-shaped curve that has an axis o f symmetry.
    What do you think this means?


27. The following is an example of the Zero-Product Property.
    (x + 3)(x — 4) = 0, so x + 3 = 0 or x - 4 = 0.
    What do you think this means?

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