Pre Algebra A
Math Remediation
Unit 8 – Solving Equations
Unit Objectives:
 Solve equations using replacement sets.
 Solve equations using transformations.
 Identify or write equations that would solve word problems.
 Write word problems that would be solved by given equations.
 Solve word problems using equations.
 Lesson Objectives
Lesson Objectives:
Lesson 1: Equations and Variables
 Solve an equation using a replacement set.
Remediation:
 The link that follows is a kinesthetic approach to solving problems. This activity has a section that
coordinates with each lesson in this unit.
http://www.nsa.gov/academia/_files/collected_learning/middle_school/algebra/solving_equations.pdf

The following is a flip chart that can be used on the Smart Board. This notebook is a remediation tool for
solving expressions.
http://exchange.smarttech.com/details.html?id=5e8d417c31d46bb2773fe4fe4a9db9dd0ea71f0fbd30ce8fd
7f071880501cd86
Lesson 2: Equations: Addition and Subtraction
 Solve an equation involving transformation by addition.
 Solve an equation involving transformation by subtraction.
 Solve an equation involving transformation by addition and subtraction.
Remediation:
 An online quiz solving equations using transformations. Print out and laminate. Use in a small math group
or as independent work. http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-02825333-7&chapter=3&lesson=1
Lesson 3: Equations: Multiplication and Division
 Solve an equation involving transformation by multiplication.
 Solve an equation involving transformation by division.
Remediation:
 Additional exercise solving equations using transformations.
http://www.mathchamber.com/PDFs/algebra/Unit%203%20hw%2031%20Solving%20Algebraic%20Equations.pdf
Lesson 4: Equations: Decimals and Fractions, Part 1
 Solve an equation involving multiplying decimals.
 Solve an equation involving dividing decimals.
Remediation:
 http://www.mathchamber.com/algebra/docs/unit_03/a_unit_3.htm offers remediation work solving
problems using transformations.
 Additional worksheets and activities in solving operations with decimals and fractions.
http://www.algebra.com/algebra/homework/NumericFractions/
Lesson 5: Equations: Decimals and Fractions, Part 2
 Solve an equation involving multiplying fractions.
Remediation:

http://www.mathchamber.com/algebra/docs/unit_03/a_unit_3.htm offers more practice on solving
equations. Print out worksheets to use in a small math group.
Lesson 6: Combined Operations, Part 1
 Solve an equation involving more than one transformation.
Remediation:
 Use the following as a small group or independent activity.
Algebra I: Solving Equations (2-step) # 1
1. Cut the squares apart.
2. Match equivalent sentences.
3. You should get a new 4 X 4 square.
x2=100
x=13
8+x=1
x=2
3+4x=19
x= -7
-3x+1=7
x= -2
x=12
2x+4=8
4x= -44
-3x=18
x=14
4x=24
x= -5
x=9
9=x+ -5
x=6
7x= -35
7-6x=1
x=21
x=15
4x+6=50
x=1
x= -3
x/7=3
-3x-4=5
7=x-2
-x=16
x=3
x/4 –1 = 5
x=80
x= -16
5(x+3)=30
x=39
x=48
x=-21
x= -48
x= -13
x-2= -10

3=x
x=0
3(x-4)= -15
-7
2x+4=20
x= -1
x=7
(8+ -2)x= -288
-5+ -3+x= -8
x=99
2x+14=28
x/8 +15=20
x= -15
x=25
x-42=32
x= -9
x/13 =3
x=40
x 5
x= -14
72 +x=40
x/4 –5 = 15
2x+3= -17
x=24
x=16

The following is an applet that uses the "balance strategy" at Mathsnet.net.
http://www.mathsnet.net/algebra/balance.html .

Lesson 7: Combined Operations, Part 2
 Solve an equation involving more than one transformation.
Remediation:
 Use the following sheet as a small group or as an independent activity. You can generate additional
worksheets like the one below at http://www.math.com/cgi-bin/mathf_sp.pl .
Algebra Practice Problems - ANSWERS
Date:__________________________

1) x + 3/5 = 13/5 answer: x = 2
2) x / 6 = 1 answer: x = 6
3) x / 5 = 5 answer: x = 25
4) x / 2 = 6 answer: x = 12
5) x + 9 = 61/7 answer: x = -2/7
6) x / 3 = 4 answer: x = 12
7) 8 + x = -1 answer: x = -9
8) x - 6 = - 16 answer: x = -10
9) x / 2 = 1 answer: x = 2
10) 1 + x = 4 answer: x = 3
11) x + 1 = 12 answer: x = 11
12) 1 + x = 13 answer: x = 12
13) x + 5 = 29/7 answer: x = -6/7
14) x + 8 = 33/4 answer: x = 1/4
15) 8 + x = - 3 answer: x = -11
16) -1 + 3x = 5 answer: x = 2

The following is an activity that can be done with the calculator as a group activity.
http://teachers.henrico.k12.va.us/math/HCPSAlgebra1/Documents/A1/CasioSOLA_1Equations.doc
Lesson 9: Word Sentences and Equations, Part 1
 Write a word problem that would be solved by a given equation.
 Identify an equation that would solve a given word problem.
Remediation:
 The video demonstrates writing equations in a word problems.
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph163s.html .

Lesson 10: Word Sentences and Equations, Part 2
 Write an equation that models a word sentence.
Remediation:

The following is a notebook for the Smart Board that covers equation solving and strategies.
http://exchange.smarttech.com/details.html?id=a6652ad390a56062e98199a3ec59fc389652f3dbba7b404
d728fca601b2db59d
Lesson 11: Translating Problems into Equations, Part 1
 Write an equation for a word problem.
Remediation:
 Use the following notebook on your Smart Board. The Connect 4 game can be used with other lessons
and objectives. You can insert your own questions to match lesson.
http://exchange.smarttech.com/details.html?id=xc85a3a9350fb421c85efea50a34ed4b8
Lesson 12: Translating Problems into Equations, Part 2
 Write an equation that would solve a word problem.
Remediation:
 Use the following activity to write an equation that would solve the word problems. Have students solve
the equation after writing it. Answers are provided.
http://www.algebra.com/algebra/homework/equations/Equation-solver.solver
Lesson 13: Problem Solving, Part 1
 Write an equation with a variable to solve a word problem.
 Solve a word problem.
Remediation:

http://www.algebra.com/algebra/homework/Inverses/find-reciprocal-of-a-number.solver is a remedial
exercise on finding reciprocals. Some students may need extra practice on finding the reciprocal in order
to solve an equation.
Lesson 14: Problem Solving, Part 2
 Write an equation using a variable to solve a word problem.
 Solve a word problem.
Remediation:
 The following is a jeopardy game to be used with the Smart Board. Adjust or add questions to
cover specific objectives if questions are not provided.
http://exchange.smarttech.com/details.html?id=a4b07400ba3348cc54868ca82e667e1012220522241
13bac0eb9b343602b42f5