Download Unit 1B Solving Equations Plan

Name:__________________________________
Algebra Solving Equations Unit Plan
Vocabulary
Equation
Example
Variables
Example
Inverse Operations
Example
Solution
Example
Contradiction
Example
Identity
Example
No Solution
Example
All Real Numbers
Example
Objective(OLD A.4A, A.1C, A.7B)
(4) Foundations for functions. The student understands the importance of the skills required to manipulate symbols in
order to solve problems and uses the necessary algebraic skills required to simplify algebraic expressions and solve
equations and inequalities in problem situations. The student is expected to:
(A) find specific function values, simplify polynomial expressions, transform and solve equations, and factor
as necessary in problem situations;
(1) Foundations for functions. The student understands that a function represents a dependence of one quantity on
another and can be described in a variety of ways. The student is expected to:
(C) describe functional relationships for given problem situations and write equations or inequalities to
answer questions arising from the situations;
(7) Linear functions. The student formulates equations and inequalities based on linear functions, uses a variety of
methods to solve them, and analyzes the solutions in terms of the situation. The student is expected to:
(B) investigate methods for solving linear equations and inequalities using concrete models, graphs, and the
properties of equality, select a method, and solve the equations and inequalities
NEW TEKS (2015/2016)
PROCESS STANDARDS: A.1A,D,G
A.5 Linear functions, equations, and inequalities. The student applies the mathematical process standards to solve,
with and without technology, linear equations and evaluate the reasonableness of their solutions. The student is
expected to:
(A) solve linear equations in one variable, including those for which the application of the distributive
property is necessary and for which variables are included on both sides
ESSENTIAL QUESTION
What is the difference between solving and simplifying?
PRE-ASSESSMENT
Pre-requisite skills:
Multiplying by a fraction
1. ½ (4x-6)
2. ¾ (12x+8)
Knowledge of Inverse Operations
3. Inverse of addition? ______________
4. Inverse of Multiplication? ___________
5. Inverse of Subtraction?_____________
6. Inverse of Division?_______________
Use order of operations to balance equations
7. 4(x+4)-2= - 1
8. -3(x+3)-8= 5
Knowledge of the difference of an expression and an equation
9. Give an example of an expression:_______________
10. Give an example of an equation:_________________
SCORE:_______/10
Test 2 Review:
Solving 1, 2 & Multi-Step Equations
Vocabulary: Define the following words.
One Step Equations Video
1. Expression_________________________________________________________ ___________
2. Equation _______________________________________________________________________
3. Solution of an Equation ___________________________________________________________
4. All Real Numbers_________________________________________________________________
5. No Solution_____________________________________________________________________
SOLVE. Show all work. Circle or box in your answer.
6. 2 x - 9 = - 7
5
9.
y
 5  3
8
7. 87 – 3x = –13x
8. 4h + 9 = 14
10. 1.2h + 6 = 9.6
11. 4(b – 7) = 4b + 5
12. –6(x – 8) = 78
13. 10x + 4 = 2(5x+2)
14. 3x–5 = 2x–9
15. -6x – 7 = -2(3x + 5)
16. 8x – (6x – 2) = - 2
17. -4(2x-3) = -6x +12 -2x
Word Problems
18. Which of the equations below represents the next step of the solution process?
Original: 3(5x + 2) + 4 = -35
A.
15x + 2 + 1 = -35
B. 15x + 6 + 12 = -35
C. 15x + 6 + 4 = -35
D. 3( 5x + 6) = -35
19. The sum of eight and twice a number is fourteen.
Equation: __________________
Solution: __________________
20. A photographer charges $50 for a sitting and a basic package of photos. Additional 5 × 7 pictures cost $8 each.
How many extra 5 × 7 pictures can you purchase if you spend a total of $96?
Equation: __________________
Solution: __________________
21. Luis deposited $500 into his bank account. He now has $4732. Write and solve an equation to find how much
was in his account before the deposit.
Equation: __________________
Solution: __________________
22. Michael bought a beautiful bouquet of flowers for $62.75 (not including tax). If he bought them while
there was a 30% off special, what was the original price of the flowers?
Equation: __________________
Solution: __________________
23. The total cost of a DVD was $16.21. If the rate of sales tax was 8.125%, what was the original price of
the DVD?
Equation: __________________
Solution: __________________
24. Sara found a great deal on Jolly World tickets where if she purchases a ticket the regular cost of $64, each
additional ticket purchased will only cost $48. If the total charge came to $256, how many tickets did she buy?
Equation: __________________
Solution: __________________
25. The width of a rectangle is 9 cm less than twice the length. The perimeter is 72 cm. What is the length and
width of the rectangle?
Equation: __________________
Solution: __________________
26. The length of a rectangle is 5 times the width. The perimeter is 84 feet. What is the length and width of the
rectangle?
Equation: __________________
Solution: __________________
27. Find the perimeter:
this figure?
28. If the value of x is 3 cm, what is the perimeter of
x3 + 4y
x+ 2
6x3 - y
3x - 2
28. 29. Find the perimeter of the equilateral triangle:
30. If the perimeter is 60 cm, what is the value of x?
x+ 2
3x - 2
4w+2
Additional Videos
Variables on Both sides Video