unit 1 equations and functions math · pdf file math 1a 2 unit 1a: equations, inequalities,...

Click here to load reader

Post on 29-Mar-2020

6 views

Category:

Documents

1 download

Embed Size (px)

TRANSCRIPT

  • Unit 1

    Equations and Functions

    Math 1A

  • Day:_______ Name:________________________________ Date:___________

    Math 1A 2

    UNIT 1A: EQUATIONS, INEQUALITIES, & FORMULAS STANDARDS MATH 1

    # DESCRIPTION OF STANDARD SCORE

    1 Create an algebraic expression

    5

    2 Simplify expressions

    5

    3 Solving equations

    5

    4 Determine when you have one solution, no solution, or infinitely many

    solutions when solving equations

    5

    5 Solving equations with fraction, decimals, proportions

    5

    6 Solving Word problems

    5

    7 Rewrite literal equations

    5

    8 Solve & graph inequalities

    5

    9 Creating Inequalities

    5

    10

    5

    8/25/16 Quiz 1 Standards 1-4

  • Day:_______ Name:________________________________ Date:___________

    Math 1A 3

    Contents Writing and Simplifying Algebraic Expressions ........................................................................................ 5

    Writing Expressions .................................................................................................................................... 6

    Simplifying Expressions ............................................................................................................................. 7

    Writing and Simplifying Expressions ......................................................................................................... 8

    Solving Multi-Step Equations ..................................................................................................................... 9

    Examples of One-Step Equations ............................................................................................................. 10

    Solving Two-Step Equations .................................................................................................................... 11

    Solving Multi-Step Equations ................................................................................................................... 12

    Solving Equations with Variables on Both sides ...................................................................................... 13

    Solving Multistep Equations ..................................................................................................................... 15

    Solving Equations Practice ....................................................................................................................... 16

    Multi-step Equations – Special Cases ....................................................................................................... 17

    Practice – Multi-step Equations – Special Cases ...................................................................................... 18

    Practice - Multi-Step Equations ................................................................................................................ 19

    Multi-Step Equations with Fractions, Decimals and Proportions ............................................................. 20

    Solving Word Problems with Equations ................................................................................................... 21

    Guided Notes - Multi-Step Equations as Word Problems ........................................................................ 23

    Practice: Literal Equations ........................................................................................................................ 25

    Applications of Volume Formulas ............................................................................................................ 26

    Literal Equations - Volume Formulas....................................................................................................... 27

    Variable Expressions & Equations REVIEW ........................................................................................... 30

    More Practice – Solving Equations........................................................................................................... 32

    Solving Inequalities .................................................................................................................................. 33

    Solving Word Problems with Inequalities ................................................................................................ 35

    Multistep Inequalities................................................................................................................................ 36

    Solving Word Problems with Inequalities ................................................................................................ 38

    Inequality Application Word Problems .................................................................................................... 40

    Inequality Review ..................................................................................................................................... 41

  • Day:_______ Name:________________________________ Date:___________

    Math 1A 4

    Recursive Patterns ..................................................................................................................................... 42

    Input-Output Machines ............................................................................................................................. 44

    Input-Output Warm-Up ............................................................................................................................ 45

    Activity: Patterns Lab .............................................................................................................................. 46

    Recursive Sequence Warm-Up ................................................................................................................. 51

    Recursive Patterns ..................................................................................................................................... 52

    Sequencer Exploration Questions ............................................................................................................. 53

    Explicit Rules – Input-Output Formulas ................................................................................................... 58

    Function Investigation .............................................................................................................................. 59

    Testing For Functions Review .................................................................................................................. 62

    Functions Classwork ................................................................................................................................. 65

    Notes: Function Notation ......................................................................................................................... 68

    Function Notation Extra Practice .............................................................................................................. 70

    Functions Warm Up .................................................................................................................................. 71

    Graphs & Real World Situations .............................................................................................................. 72

    Rate of Change Practice ............................................................................................................................ 76

    Classwork: Rate of Change ....................................................................................................................... 77

    Graphical Stories ....................................................................................................................................... 78

    Walking a Fine Line.................................................................................................................................. 79

  • Day:_______ Name:________________________________ Date:___________

    Math 1A 5

    Writing and Simplifying Algebraic Expressions

    Write each phrase as an algebraic expression. 1. $18 less than the sale price _________________ 2. the quotient of n and 12 _________________ 3. 8 less than 25 multiplied by a number q _________________ 4. 3 more than the difference of 20 and a number m _________________ 5. 5 less than the quotient of a number z and 16 _________________ 6. 8 times the product of 28 and a number g _________________ 7. 10 plus a number s times 5 _________________ 8. 10 less than the quantity j multiplied by 44 _________________

    9. 6y + (-13y) 10. -12z + (-9z) 11. -8x + 9x - 13x

    12. 15x + 2x – 12x - 13x2 – 15 13. 2p4 + 3p + 12 – 18p4 – p – 7

    14. 12m + (-9) – 45m

    15. -8 + 8k + 14 – 19k

    16. 5(3e + 5) – 25e 17. -12n – 18n + 9(4n + 3)

    18. 8(z2 + 3) – 19z2 + 14 19. -6(3m + 2) – 6m + (-13)

  • Day:_______ Name:________________________________ Date:___________

    Math 1A 6

    Writing Expressions

    Write the following expressions in algebraic form. 1) 9 more than c

    2) b minus 4

    3) the quotient of z and 9

    4) the total of n and 40

    5) the sum of 8 a

View more