S3 (3.1) Equations with fractions.notebook November 24, 2015
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1 Daily Practice Q1. Solve the equation 4(2x 1) + 5x = 3x + 26 Q2. Calculate the length of k Q3. Calculate the mean, median, mode and range of 3, 7, 4, 13, 5, 11, 6, 7 14cm Today we will be learning to solve 35 0 k cm equations with fractions. Q4. Write a simplified expression for the perimeter of the rectangle shown x cm (x + 3)cm Q1. Equations revision: Solve the following equations (a) 3x + 7 = 32-2x (d) 5(2h + 3) = 4(2h + 1) + 15 (b) 5(2k - 4) + 1 = 3(2k - 1) (e) 3(j - 1) = 18-5(j + 1) Daily Practice Q1. Calculate the volume of the cylinder shown. Round your answer to 2 significant figures Q2. Write in scientific notation 3cm 12cm (c) 4(m - 2) - 9 = 3 - (m + 5) (f) 3(5t + 7) + 2(3t - 5) = 5(2t + 11) Q3. Find the value of a house that was bought for and appreciated in value by 5% per year for 4 years. Q4. Q2. Make up 5 equations that are solvable Given an equation with a fraction in it, always try to get rid of the fraction first by multiplying both sides by the denominator of the fraction. Today we will be continuing to solve equations with fractions. If there are 2 fractions, multiply both sides by the common denominator (LCM of both denominaors) of both fractions.
2 Examples: Solve the following Questions: Solve the following (a) (e) Equations4.pdf (i) (b) (f) (j) (c) (g) (k) (d) (h) (l) Q1. Solve the equation Daily Practice Q2. If f(x) = 2x 2 + 3, what is the value of f( 2)? Q3. Write the number in scientific notation Q4. Calculate the size of the internal angle of a pentagon Today we will be learning how to use algebra to create expressions for questions in context. Q5. If two bottles are similar in size, the volume of the smaller bottle is 330ml and the diameter of the base is 5cm, calculate the volume of the larger bottle if the diameter of the base is 6.5cm Problem Solving using Algebra Example: Write down an expression for the perimeter and the area of the triangle shown Daily Practice Q1. Solve the equation 3(2x + 1) - 5x = x + 3 Q2. Round to 2 significant figures 4x cm Q3. (x + 2)cm 4x 2x + 1 Q4. Write an expression for the area of the Page rhombus shown
3 Problem Solving with Equations Examples: 1. Today we will be learning how to solve equations from questions in context. Examples: Daily Practice Q1. Multiply out and simplify 3(2x + 4) - 18x + 3 2) Andy buys k packets of crisps. Laura buys 2 more packets of crisps than Andy. a. Write an expression for the total number of packets of crisps. Q2. Share 120 in the ratio 3:4 Q x 6 b. There were 14 packets of crisps bought altogether. How many did Andy buy? Q4. Find the value of a house that was worth and appreciates by 2% per annum for 3 years c. Each packet of crisps cost 60p. How much did they each spend? Q5. Solve Problem Solving with Equations Examples: 3. EquationsProblems.pdf Today we will be continuing to work out problem solving questions.
4 Daily Practice Q1. Find the original value of a car that depreciated by 7% and is is now worth 3650 Q2. Solve the equation 6(3x - 1) = 12(x + 1) Q3. State the median and quartiles of the data set Today we will be learning how to solve inequalities. Homework Online due Monday Inequalities From left to right: < means less than > means greater than means less than or equal to Inequalities Write expressions for the following: x is less than 6 y is greater than -15 k is greater than or equal to 0 h is greater than or equal to -4 and is less than 7 p is greater than -1 and is less than or equal to 4 means greater than or equal to j lies between -3 and 5 but isn't 3 or 5 Solving Inequalities Solving inequalities follows the same process as solving equations. Examples: Solve the following (a) 5x - 4 > 26 (b) 9-3a < 12 (c) 2(c + 5) (d) 2(4b - 7) 3b - 14 Page 206 Middle Columns
5 Daily Practice Q1. Multiply out and simplify 2(3x - 4) + 5x Q2. Calculate the mean, median, mode and range of 2, 4, 2, -5, 8, 6 and 3 Q3. Calculate the length of the side k Today we will be completing marking the inequality cm questions and doing a check-up on inequalities. k cm Q4. If two cylinders are similar in size and the smaller cylinder has a volume of 280ml and a diameter of 16cm, if the larger cylinder has a diameter of 24cm, what is its volume? Success? I can explain what an inequality is. I can solve inequalities with unknowns on both sides.
6 Attachments Equations4.pdf EquationsProblems.pdf
S4 (4.2) N5 Equations.notebook November 24, 2015
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S2 (2.2) Equations.notebook November 24, 2015
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CAMBRIDGE IGCSE MATHS EXAMINATION BOARD COVERAGE TIER TOPIC HEADING SUB HEADING Both Number Integers Ordering numbers Both Number Integers Rounding numbers Both Number Integers Adding and subtracting whole
MATHEMATICS Grade 5 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator
Standard: Number, Number Sense and Operations Number and A. Represent and compare numbers less than 0 through 6. Construct and compare numbers greater than and less Number Systems familiar applications
due test Prerequisite Skills for Algebra II Advanced
Name: Student ID: Algebra II Advanced is a very rigorous and fast-paced course. In order to prepare for the rigor of this course, you will need to be familiar with the topics in this packet prior to starting
due Thursday, August 25, Friday, September 2, 2016 test Prerequisite Skills for Algebra II Advanced
Name: Student ID: Algebra II Advanced is a very rigorous and fast-paced course. In order to prepare for the rigor of this course, you will need to be familiar with the topics in this packet prior to starting