Www.boommaths.com KS3 Problem Solving Constructing and solving equations.

Slides:

Advertisements

Similar presentations

Solving Systems of Equations using Substitution

Advertisements

Math in Our Environment Created by:. List your location here Discuss the location and what math concepts are going to be in the problem.

SOLVING EQUATIONS WITH ADDITION & SUBTRACTION By: Erica Wagner Let’s get started! Let’s get started!

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.

THOAN. THOAN Think of a number… THOAN Multiply it by 3.

Technical Question Technical Question

JEOPARDY Click here and type Category 1 Click here and type Category 2 Click here and type Category 2 Click here and type Category 3 Click here and type.

6.1 – Graphing Systems of Equations

Write an equation given two points

Solving Systems of Linear Equations

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Systems Jeopardy PotpourriEliminationSubstitutionGraphing.

HPC 1.4 Notes Learning Targets: - Solve equations using your calculator -Solve linear equations -Solve quadratic equations - Solve radical equations -

Inequalities in One Variable.  Use the same process for solving an equation with TWO exceptions: ◦ 1) Always get the variable alone on the LEFT side.

Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.

Percentages and ratio worded problems KS4 Percentages and Ratio.

Type your question here. Type Answer Type your question here. Type Answer.

3.1 System of Equations Solve by graphing. Ex 1) x + y = 3 5x – y = -27 Which one is the solution of this system? (1,2) or (-4,7) *Check (1,2)Check (-4,7)

3.6 Solving Absolute Value Equations and Inequalities

Solving 2 step equations pick up a pink, yellow and green highlighter.

One Answer, No Answers, or an Infinite Number of Answers.

SystemsOfInequalities. 7-1 Solving Systems by Graphing What is a system of linear equations? “SOLUTION” No solution Infinitely Many Solutions Page 342.

Systems of Equations Elimination BINGO

Quadratics 5 Discriminant, Problem Solving, Intersecting Graphs.

GUIDED PRACTICE for Example – – 2 12 – 4 – 6 A = Use a graphing calculator to find the inverse of the matrix A. Check the result by showing.

KS3 Matching Activity. Match the cards into groups of 3 There are 101 spots on two Dalmatian dogs. One Dalmatian has.

Warm Up Tell whether the system has one solution, no solution, or infinitely many solutions.

Solving multi step equations. 12X + 3 = 4X X 12X + 3 = 3X X 9X + 3 = X = X =

SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION PRACTICE PROBLEMS.

Quiz Title Your name goes here. Question 1 Click here for answer Click here for answer Go to question 2 Go to question 2.

Insert your name and class period here. 1. What is the goal of every equation you solve? 2. How do we accomplish this goal? Type your answer here.

Objective: Today we will be using bar models to create maths sentences.

Systems of Equations and Inequalities

Mathsercise-C Ready? Inequalities Here we go!.

Click here for the answer. Click here for the answer.

Click here for the answer. Click here for the answer.

Click here for the answer. Click here for the answer.

Notes Over 9.6 An Equation with One Solution

Solve a system of linear equation in two variables

For each representation, explain how you find the value of x

Simultaneous Equations –

7.1 System of Equations Solve by graphing.

SYSTMES OF EQUATIONS SUBSTITUTION.

Solving Two-Step Equations

Equation Competition Each student will solve the equations.

USING GRAPHS TO SOLVE EQUATIONS

Click the problem to show the answers.

Write Equations of Lines

A5 Simultaneous equations

CALCULATING EQUATION OF LEAST SQUARES REGRESSION LINE

Solving Equations involving Decimal Coefficients

Solve the equation: 6 x - 2 = 7 x + 7 Select the correct answer.

Multiplying Larger Numbers

MATH 1310 Section 2.8.

Graphing Systems of Equations

Solving for x and y when you have two equations

Form Time Numeracy Week beginning

MATH 1310 Section 2.8.

MATH 1310 Section 2.8.

Objective: Students will solve systems by graphing

MATH 1310 Section 2.8.

Trigonometric Equations

Write an equation for this diagram

X ⦁ X = 64 ±8 ±14 X ⦁ X ⦁ X =

Balanced scales and equations

On your whiteboards: How many ‘maths sentences’ can you write down from this diagram?

Presentation transcript:

KS3 Problem Solving Constructing and solving equations

There are 101 spots on two Dalmatian dogs. One Dalmatian has 25 spots more than the other, how many spots does each dog have?

Solution 1: Step 1: Draw a model Step 2: Use the diagram to calculate how many spots 101 – 25 = = the value of the yellow shaded blocks 76 ÷ 2 = 38 Therefore one dog has 38 spots = 63 Therefore dog two has 63 spots

Solution 2: Step 1: Construct an equation x + (x+25) = 101 Step 2: Solve for x ( to find the number of spots on one dog) 2x + 25 = 101 2x = x = 76 x = 38 Therefore dog 1 has 38 spots Step 3: Calculate the number of spots on dog 2 dog 2 = x + 1 dog 2 = Therefore dog 2 has 63 spots

There are 101 spots on two Dalmatian dogs. One Dalmatian has 31 spots more than the other, how many spots does each dog have?

There are 101 spots on two Dalmatian dogs. One Dalmatian has 27 spots more than the other, how many spots does each dog have?

There are 101 spots on two Dalmatian dogs. One Dalmatian has 33 spots more than the other, how many spots does each dog have?

There are 101 spots on two Dalmatian dogs. One Dalmatian has 29 spots more than the other, how many spots does each dog have?

There are 101 spots on two Dalmatian dogs. One Dalmatian has 35 spots more than the other, how many spots does each dog have?

There are 220 spots on two Dalmatian dogs. One Dalmatian has 62 spots more than the other, how many spots does each dog have?

There are 222 spots on two Dalmatian dogs. One Dalmatian has 72 spots more than the other, how many spots does each dog have?

There are 224 spots on two Dalmatian dogs. One Dalmatian has 82 spots more than the other, how many spots does each dog have?

There are 226 spots on two Dalmatian dogs. One Dalmatian has 67 spots more than the other, how many spots does each dog have?

There are 228 spots on two Dalmatian dogs. One Dalmatian has 63 spots more than the other, how many spots does each dog have?

Use your mini whiteboards to answer the following questions Click here for infinite questions

Spots on Dog 1Dog 2 Q13566 Q23764 Q33467 Q43665 Q53368 Q Q Q Q Q Back to beginning

Back to Problem