Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 2 By Herbert I. Gross and Richard A. Medeiros next.

Slides:



Advertisements
Similar presentations
Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 14 By Herbert I. Gross and Richard A. Medeiros next.
Advertisements

Algebra Problems Algebra Problems © 2007 Herbert I. Gross Set 13 By Herbert I. Gross and Richard A. Medeiros next.
Algebra Problems… Solutions Algebra Problems… Solutions © 2007 Herbert I. Gross Set 7 part 1 By Herb I. Gross and Richard A. Medeiros next.
Evaluate expressions with grouping symbols
Rational Expressions To add or subtract rational expressions, find the least common denominator, rewrite all terms with the LCD as the new denominator,
Solving Equations with the Variable on Both Sides Objectives: to solve equations with the variable on both sides.
Solve an absolute value equation EXAMPLE 2 SOLUTION Rewrite the absolute value equation as two equations. Then solve each equation separately. x – 3 =
Preview Warm Up California Standards Lesson Presentation.
Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 19 By Herbert I. Gross and Richard A. Medeiros next.
Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 1 By Herb I. Gross and Richard A. Medeiros next.
Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 8 By Herbert I. Gross and Richard A. Medeiros next.
Solve a radical equation
Algebra Problems… Solutions Algebra Problems… Solutions © 2007 Herbert I. Gross Set 2 By Herbert I. Gross and Richard A. Medeiros next.
5.1 Algebraic Expressions. CAN YOU FOLLOW ORDER OF OPERATIONS?
Solve each equation. Show your work and check the solution h – 2 = –6x = – = 8 + y.
Keystone Problems… Keystone Problems… next Set 2 © 2007 Herbert I. Gross.
Module 2 Test Review. Variables and Expressions Writing Algebraic Expression Step 1: Identify key words Step 2: Define the variable Step 3: Work the.
Evaluating Algebraic Expressions 4-3 Properties of Exponents California Standards NS2.3 Understand negative whole- number exponents. Multiply and divide.
Evaluating a Variable Expression To evaluate a variable expression:
Lesson 1-6/ 1-7 Writing Algebraic Expressions. To evaluate an expression, substitute a number for a variable Example 1: Evaluate 3n + 7 when n = 3.
Divide. Evaluate power – 3 = – 3 EXAMPLE – 3 = 3 2 – – 3 = 6 – 3 Multiply. Evaluate expressions Multiply and divide from.
Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 9 By Herbert I. Gross and Richard A. Medeiros next.
Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 12 By Herbert I. Gross and Richard A. Medeiros next.
1-2 Order of Operations and Evaluating Expressions.
Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 7 part 2 By Herb I. Gross and Richard A. Medeiros next.
Multiplying With Scientific Notation (3.8  102)  (5  104) = 1.) Change the order of the factors. 2.) Multiply and use the rules for exponents 3.) Make.
Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 6 By Herb I. Gross and Richard A. Medeiros next.
Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 4 By Herb I. Gross and Richard A. Medeiros next.
Formulas & Functions Formula – an algebraic expression that relates two or more real-life quantities.
EXAMPLE 4 Rewrite polynomials Divide 5y + y by 2 + y. Rewrite polynomials. Multiply y and y + 2. y 2 + 2y Subtract y 2 + 2y. Bring down 4. 3y + 4.
I’m Thinking of a Number
Algebra Problems… Solutions Algebra Problems… Solutions © 2007 Herbert I. Gross Set 16 By Herbert I. Gross and Richard A. Medeiros next.
Multiply one equation, then add
Reverse Subtraction Objectives:  do a subtract by adding  check your answer by adding.
Final Exam Review Part I Math Chapters Order the following from least to greatest: 432,910, ,109, ,190,634.
Solve a two-step equation by combining like terms EXAMPLE 2 Solve 7x – 4x = 21 7x – 4x = 21 Write original equation. 3x = 21 Combine like terms. Divide.
Notes 2.1 Order of Operations PEMDAS If an expression has only numbers and symbols, it is a numerical expression. If it has a variable it is a variable.
Algebra with Whole Numbers Algebraic Notation. Simplify.
Solving Algebraic Equations. Equality 3 = = = 7 For what value of x is: x + 4 = 7 true?
ADDING AND SUBTRACTING MULTIPLYING AND DIVIDING REAL NUMBERS.
Order of Operations ~ Use Order of Operations.
Algebra 1 Mini-Lessons Which answer choice is equivalent to the expression below? MA.912.A.6.2: Add, subtract, multiply, and divide radical expressions.
Algebra 1 Notes: Lesson 2-2 Rational Numbers
write algebraic expressions by representing unknown quantities; and
3-1 HW:Pg #4-28eoe, 30-48e, 55, 61,
Equations with variables on both sides Whiteboard practice
Solving 1-Step Integer Equations
write algebraic expressions by representing unknown quantities; and
Problem-Solving Steps Solve Problem-Solving Steps Solve
Algebra 12.2/12.3 Review.
Lesson 1.1 How do you evaluate algebraic expressions and powers?
Warm Up 1.) 18 2.) 18 3.) 16 4.) 30 5.) 19 1.) • 3= 2.) 3 • 4 + 6= 3.) • 4 + 2= 4.) (6 + 4) • 3= 5.) 5 • =
Expressions and Equations
Add or Subtract? x =.
Divide the number in C by 10.
Solving One and Two Step Equations
Objective The student will be able to:
Solving One Step Equations
Equations with variables on both sides Whiteboard practice
ALGEBRAIC EXPRESSIONS
Translating into Algebraic expressions
write algebraic expressions by representing unknown quantities; and
Learning Objective Students will be able to: Solve equations in one variable that contain absolute-value expressions.
Solving Two Step Algebraic Equations
Solving Equations by 2-1 Adding or Subtracting Warm Up
Algebra with Whole Numbers
Evaluating Expressions
Solving Equations with Fractions
Ch 1-2 Order of Operations
EXAMPLE 4 Solve proportions Solve the proportion. ALGEBRA a x 16
Presentation transcript:

Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 2 By Herbert I. Gross and Richard A. Medeiros next

The following nine problems are designed to help you make sure that you have internalized the material in this presentation. We suggest that you treat these problems as if they were a test. © 2007 Herbert I. Gross After you have worked on these problems, check your answers with the answers you will be given. Then read through our solutions and commentary in the Problem/Solution PowerPoint Presentation. next

What number is named by 3 × 10² ? Problem #1 © 2007 Herbert I. Gross

next What number is named by (3 × 10)² ? Problem #2 © 2007 Herbert I. Gross

next What number is named by × 10² ? Problem #3 © 2007 Herbert I. Gross

next Evaluate 5[ 2 (x – 3) + 4] – 6 when x = 7 Problem #4 © 2007 Herbert I. Gross

next Evaluate 5[ 2 (x – 3) + 4] ÷ 6 when x is = 7 Problem #5 © 2007 Herbert I. Gross

next For what value of x is it true that… 5[ 2 (x – 3) + 4] – 6 = 84 Problem #6 © 2007 Herbert I. Gross

next For what value of x is it true that… 5[ 2 (x – 3) + 4] ÷ 6 = 84 Problem #7 © 2007 Herbert I. Gross

next Rewrite the following recipe, using the Order of Operations (PEMDAS) Step 1: ……… Input x Step 2: …….. Add 4 Step 3: …….. Multiply by 2 Step 4: …….. Add 3 Step 5: …….. Multiply by 5 Step 6: …….. Subtract 23 Step 7: …….. Divide by 2 Step 8: …….. The output is y Problem #8 © 2007 Herbert I. Gross

next For what value of x is it true that… {5[ 2 (x +4) +3] – 23} ÷ 2 = 51 Problem #9 © 2007 Herbert I. Gross