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

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