Algebraic Expressions

Slides:

Advertisements

Similar presentations

Over Lesson 4–6 A.A B.B C.C D.D 5-Minute Check 1 Solve 3x – 2 = 13.

Advertisements

CN #3 Ratio and Proportion

Solving equations that involve formulas.

Perimeter Is the sum of the lengths of the sides. When solving a perimeter problem, it is helpful to draw and label a figure to model the region.

Green text p.138 #s The length of the second side of a triangle is 2 inches less than the length of the first side. The length of the third.

Introduction Algebraic expressions are mathematical statements that include numbers, operations, and variables to represent a number or quantity. We know.

Splash Screen. Then/Now You have already found values of algebraic expressions by substituting values for the variables. (Lesson 1–2) Solve problems involving.

Solving One Step Equations and Inequalities Math 7/8.

An equation is a mathematical statement that two expressions are equivalent. The solution set of an equation is the value or values of the variable that.

Solving Radical Equations

Algebra-2 Section 1-3 And Section 1-4. Quiz Simplify 1. Simplify -4y – x + 10x + y 2. Is x = -2 a solution to following equation? 3. Solve.

Solving systems of equations with 2 variables

EXAMPLE 2 Rewrite a formula with three variables SOLUTION Solve the formula for w. STEP 1 P = 2l + 2w P – 2l = 2w P – 2l 2 = w Write perimeter formula.

Basic Measurement.

Vocabulary... First, we need to know some vocabulary…  Expression: a mathematical phrase that is a combination of one or more variables, constants, and.

EquationsFunctionsInequalities Domain & Range Polynomials.

Write an algebraic expression to represent 5 less than a number “n”.

Performance Across the Bands. Algebra and Functions Algebra and Functions: Use letters, boxes, or other symbols to stand for any number in simple.

Simplifying Algebraic Expressions 1-5. Vocabulary Term- a number, a variable, or a product of numbers and variables. Terms in an expression are separated.

Math – The Multiplication/Division Principle of Equality 1.

Making Equations (2) Algebra 5 x + 7 Area = 53cm 2 The area of a rectangle. In each of the examples below, the area of the rectangle is given. Make an.

Formulas & Functions Formula – an algebraic expression that relates two or more real-life quantities.

Unit 2 Expressions and Equations Combine like terms.

Adding and Subtracting Radical Expressions 11-7

ALGEBRA VOCABULARY. Vocabulary: Expression Definition: A math phrase built from constants, variables and operations EXAMPLE: 3X - 2Y.

Name: ________________________________ Period: _____________ Date: ________________ Algebra IA First Six Weeks Assessment Review Sheet Simplify

Simplify the Expression. 6t – 4t Simplify the Expression. 6t – 4t t-3.

PERIMETER OF IRREGULAR FIGURES 2/26/16. WARM-UP FIND THE PERIMETER OF THE SQUARE 1 ¼ inches 1 ¼ + 1 ¼ + 1 ¼ + 1 ¼ = 5 inches or 4(1 ¼ ) = 5.

1-5 Simplifying Algebraic Expressions Do Now Evaluate each algebraic expression for y = y + y2. 7y 3. 10y – 4y4. 5y 2 + y

1-6 Simplifying Algebraic Expressions. 1-6 Simplifying Algebraic Expressions In the expression 7x + 9y + 15, 7x, 9y, and 15 are called terms. A term can.

Holt Geometry 7-1 Ratio and Proportion Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve.

Variables and Expressions #4. A variable is a letter or symbol that represents a quantity that can change. A constant is a quantity that does not change.

2-2 Variables and Expressions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

2-2 Variables and Expressions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Holt Algebra Solving Radical Equations Warm Up(Add to Hw) Solve each equation. 1. 3x +5 = x + 1 = 2x – (x + 7)(x – 4) = 0 5. x 2.

Warm Up 8/6/14 Write each sentence as an expression: 1.Multiply n by 4, and then add 3 to your answer. 2.Add 3 to n, and then multiply your answer by 4.

Equations and Inequalities. Unit 8 – Solving Inequalities.

PERIMETERS What is the Perimeter of a shape. What is the Perimeter of this rectangle? What is the Perimeter of this rectangle? 5cm 15cm.

Solving equations that involve formulas.

Find the slope of the line through each pair of points.

Equations with Perimeter and Area

simplify radical expressions involving addition and subtraction.

Rewrite a formula with three variables

Expressions and Equations Review Day 3

Solving One Step Equations with Multiplication

ALGEBRA VOCABULARY.

Section 11-5 Solving Radical Equations

Warm-up September 14, 2017 Change to a decimal: 87% 7%

Warm Up Problem Which of the following expressions is equivalent to 6x + 24? A) 3(x + 12) B) 6(x – 4) C) 6(x + 4) D) x(6 + 4)

Ratio & Proportions Practice

Warm Up Evaluate each expression for y = y + y 2. 7y

Benchmark 2 Review.

Expressions and Formulas

Review Questions 3rd MD.8.

Unit 2 Expressions and Equations

Solving Problems Involving Geometry

Ratio Ratio – a comparison of numbers A ratio can be written 3 ways:

Unit 2 Expressions and Equations

Do Now Determine the Domain and Range of this graph in a Inequality and Interval Notation form Solve, x – 4.6 = 5.7 Solve, 1/3y = 1/5.

Constructing Equations

Algebraic Expressions

Adding and Subtracting Radicals

1.2 Distributive Property & Combining Like Terms

Exercise Simplify. 2(3 • 4).

By- Sabrina,Julianna, and Killian

v If v represents the number’s position in the sequence, which pattern of numbers does the expression describe? A) 4.5, 5.34, 5.89,

Objective: SWBAT simplify algebraic expressions by combining like terms.

Vocabulary Algebraic expression Equation Variable

Presentation transcript:

Algebraic Expressions

Unit 7 – Simplifying Algebraic Expressions

Vocabulary Expressions - A mathematical representation containing numbers, variables, and operation symbols; an expression does not include an equality or inequality symbol. Example: (5+2)− 27 ÷3 (arithmetic/numerical expression) 2a +3b (algebraic/symbolic expression) Constant – A quantity that does not change its value in a given expression or equation Example: 3s + 4, 3 and 4 are constants Coefficient – A constant that multiplies a variable Example: 3x + 4y = 14, 3 is the coefficient of x and 4 is the coefficient of y

Simplifying Algebraic Expressions Geometry Example Solve. A square has a length of g yards. Find the perimeter of the square in terms of g. g + g + g + g 4g yards

Simplifying Algebraic Expressions Geometry Example Solve. An equilateral triangle has sides measuring d inches long. Find the perimeter of the equilateral triangle in terms of d. d + d + d 3d inches

Simplifying Algebraic Expressions Geometry Example Solve. A rectangle has a width of 2 feet and a length of m feet. Find the perimeter of the rectangle in terms of m. m + 2 + m + 2 2m + 4 feet

Simplifying Algebraic Expression Geometry Practice Solve. A piece of wire is bent in the shape of a regular octagon. Each side of the octagon is h centimeters long. What is the total length of the wire in terms of h? h + h + h + h + h + h + h + h 8h cm

Simplifying Algebraic Expressions Addition Examples Simplify each expression 2c + 3c c + c + c + c + c 5c 3g + 4g g + g + g + g + g + g + g 7g

Simplifying Algebraic Expressions Addition Practice Simplify each expression 8p + 3p 11p 6m + 10m 16m 42d + d 43d 16y + 4y 20y

Simplifying Algebraic Expressions Subtraction Examples Simplify each expression 5t - 2t 3t 7x - 4x 3x

Simplifying Algebraic Expressions Subtraction Practice Simplify each expression 18p - 2p 16p 44m - 15m 29m 6d - 6d 15y – y 14y

Simplifying Algebraic Expressions Mixed Practice State whether each pair of expressions is equivalent 7p + 3p and 3p + 6p 10p and 9p no 9t + 3t and 6t + 6t 12t and 12t yes 5d - d and 6n 4d and 6n no 7i – 2i and 9i - 4i 5i and 5i yes