Algebra A NAme: Unit 1: Solving Equations...

Algebra A NAme: Unit 1: Solving Equations Hour:

Date Section Homework

Thursday September 5, 2019

One-Step Equations p. 1 - 2

Homework 1: Solving One-Step Equations

Friday September 6, 2019

Two-Step Equations p. 3

Homework 2: Solving Two-Step Equations

Monday September 9, 2019

Multi-Step Equations p. 4

Homework 3: Solving Multi-Step Equations

Tuesday September 10, 2019

Review

Homework 4: Solving One-Step, Two-Step, and

Multi-Step Equations Review

Wednesday September 11, 2019

Solving Equations with Variables on Both Sides

p. 5 - 6

Homework 5: Solving Equations With Variables

on Both Sides


Review Solving Multi-Step Equations Maze(Level 2 and 3)


Review Homework 6: Solving Equations (All Types)


QUIZ


Literal Equations and Formulas

p. 7 - 8

Homework 7: Literal Equations and Formulas


Solving Proportions p. 9

Homework 8: Solving Proportions


Solving Proportions (Word Problems)

p. 10

Homework 9: Solving Proportions

(Word Problems)


Review Unit 1: Solving Equations Review


PRACTICE TEST Study for Unit 1 TEST!


Khan Academy Study for Unit 1 TEST!


TEST

Solving One-Step Equations Content Objective: I can solve one-step equations in one variable. Language Objective: I can use mathematical vocabulary to explain the process of

solving one-step equations in one variable.

To solve an equation, you must isolate the variable.

You can isolate a variable using the properties of equality and inverse operations.

Key Words ✎

Inverse Reciprocal Constant Coefficient

MATCHING: Match the operations with its inverse.

Addition Division

Subtraction Subtraction

Multiplication Multiplication

Division Addition

USE YOUR VOCABULARY: Write each inverse operation.

Add 7 Subtract 4 Divide by 5 Multiply by 3

1

I Do We Do You Do

Solving an Equation using Subtraction

3 7x + 1 = 2

−y + 2 = 6 5 21 + s = 4

Solving an Equation using Addition

− 7 = b − 3 2 7− 1 + x = 1 2

1 = y − 23

Solving an Equation using Division

x .44 = 6

0 5x1 = 1 .2z 4− 3 = 1

Solving an Equation using Multiplication

−x4 = 9

y −85 = 1 x

−9 = 8

2

Solving Two-Step Equations Content Objective: I can solve two-step equations in one variable. Language Objective: I can use mathematical vocabulary to explain the process of

solving two-step equations in one variable.

I Do We Do You Do

Solving a Two-Step Equation

x 52 + 3 = 1

n 13 − 4 = 1 x− 1 = 7 + 8

5 = t2 − 3 01 + 3

h = 1 85a − 1 = 2

Solving with Two Terms in the Numerator

− 23x−7 = 1

− 2 = 7d−7 −5

b+3 = 1

ERROR ANALYSIS: Describe and correct the error in solving the equation below.

3

Solving Multi-Step Equations Content Objective: I can solve multi-step equations in one variable. Language Objective: I can use mathematical vocabulary to explain the process of

solving multi-step equations in one variable.

I Do We Do You Do

Solving a Multi--Step Equation -

Combine Like Terms

m 3 m5 = 5 − 2 + 2

1m m 21 − 8 − 6 = 2 y y 4− 2 + 5 + 5 = 1

Solving a Multi--Step Equation -

Distributive Property

(2x ) 6− 8 − 1 = 3

8 (2x )1 = 3 − 6 2(3 ) 01 − x = 6

4

Solving Equations with variables on both sides Content Objective: I can solve equations with variables on both sides.

I can identify equations that are identities or have no solution. Language Objective: I can use mathematical vocabulary to explain the process of

solving equations with variables on both sides.

I Do We Do You Do

Solving an Equation With Variables

on Both Sides

x x 45 + 2 = 2 + 1

k k 07 + 2 = 4 − 1 c 2 −− 3 − 1 = 5 + c

Solving an Equation With Grouping Symbols

(5x ) (x 1)2 − 1 = 3 + 1

(2y ) (y 3)4 + 1 = 2 − 1 (4 ) (a )7 − a = 3 − 4

5

Key Words ✎

Identity No Solution

I Do We Do You Do

Identities and Equations With No Solutions

0x 2 (5x )1 + 1 = 2 + 6

m − m 2m9 − 4 = 3 + 5 + 1

(4b ) − 2b3 − 2 = 6 + 1 x − (3 x)2 + 7 = 1 − 2

6

Literal equations and formulas Content Objective: I can rewrite and use literal equations and formulas. Language Objective: I can use mathematical vocabulary to explain how to rewrite and

use literal equations and formulas.

Essential Understanding:

When you work with literal equations, you can use the methods you have learned in this unit to isolate any particular variable.

Key Words ✎

Literal Equation Formula

I Do We Do You Do

Rewriting a Literal Equation

olve 10x y 0 for yS + 5 = 8

olve for xS y−1x+2 = 1

olve 4(z ) for zS − b = z

Rewriting a Literal Equation

With Only Variables

x x ; xa − b = c

x; x− t = r + p olve A yt ; yS = B + C

7

Geometric Formulas

Rewriting a Geometric Formula What is the radius of the circle

with circumference ?4 f t 6 πrC = 2

What is the length of the rectangle with the width of ? f t 5

l w; lP = 2 + 2

A triangle has height and f t 4 area . What is the length2 f t 3 2

of its base?

8

Solving proportions Content Objective: I can solve proportions. Language Objective: I can use mathematical vocabulary to explain the process of solving proportions.

Essential Understanding: If two ratios are equal and a quantity in one of the ratios is unknown,

you can write and solve a proportion to find the unknown quantity.

Key Words ✎

Proportion Ratio

I Do We Do You Do

Solving a Proportion Using the

Multiplication Property of Equality

87 = m

12

x7 = 5

4 4−3 = x

26

Solving a Proportion Using the

Cross Products Property

34 = x

8

y3 = 5

3 53 = b

13

Solving a Multi-Step Proportion

5b−8 = 4

b+3

5n = 6

2n+4 c−2

c+1 = 74

9

Solving proportions (Word Problems) Content Objective: I can use a proportion to solve a problem. Language Objective: I can use mathematical vocabulary to explain the process of solving problems using proportions.

WORDS ratio

KNOWn ratio

UNKNOWN ratio

A portable media player has 2 gigabytes of storage and can hold about 500 songs. A similar but larger media player has 80 gigabytes of storage. About how many songs can the larger media player hold?

A florist is making centerpieces. He uses 2 dozen roses for every 5 centerpieces. How many dozens of roses will he need to make 20 centerpieces?

An 8-oz can of orange juice contains about 97 mg of vitamin C. About how many milligrams of vitamin C are there in a 12-oz can of orange juice?

If 5 lb of pasta salad serves 14 people, how much pasta should you bring to a picnic with 49 people?

10

Algebra A NAme: Unit 1: Solving Equations...

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