3) Solving an Equation - 1 step.ppt
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The document discusses solving equations in one step. It provides examples of equations where the operator is addition, subtraction, multiplication or division, and shows that to solve for x, the inverse operation must be performed. For instance, if x is added by a number, that number must be subtracted. The document emphasizes understanding and writing down the step taken to solve each equation.
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6) Equations involving x².pptx
The document discusses solving equations that involve x^2 terms. It explains that to solve these equations:
1) The x^2 term must be isolated by adding or subtracting terms from both sides of the equation.
2) Then the whole equation can be square rooted to remove the x^2, resulting in two separate equations to solve for x since the square of a negative number is positive.
3) This means there may be two possible solutions for x, as both the positive and negative square roots must be considered. Working through several examples illustrates this process.
12) Equations Including Fractions.ppt
This document discusses solving equations that include fractions. It provides examples of making fractions equivalent before combining like terms, such as when there are multiple fractions on one side of the equation. The examples show setting fractions equal to each other, isolating the variable, and solving for the variable value. Key steps involve making denominators the same and then adding or subtracting fractions with the same denominator.
10) Equations with Brackets.ppt
This document discusses solving equations with brackets. It provides examples of expanding single and multiple brackets in equations, then solving the resulting equations. Learning objectives are presented for expanding single and multiple brackets and solving the resulting equations. Example problems are worked through step-by-step to demonstrate the process. Finally, some plenary equations are presented as practice problems applying the skills learned.
2) Changing the Subject - Harder.pptx
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- 2. Solving Equations in 1 step • Today we will look at working out what a missing number in an equation is • We will see how to do this in one step • It is essential that you understand the process involved in solving an equation…
- 3. Solving Equations in 1 step x + 7 = 18 x = 11 Subtract 7 We started out with x, then added 7 So we must take away 7 to work out the value of x
- 4. Solving Equations in 1 step x - 5 = 4 x = 9 Add 5 We started out with x, then subtracted 5 So we must add 5 to work out the value of x
- 5. Solving Equations in 1 step x - 9 = 6 x = 15 Add 9 We started out with x, then subtracted 9 So we must add 9 to work out the value of x
- 6. Solving Equations in 1 step x + 12 = 23 x = 11 Subtract 12 We started out with x, then added 12 So we must subtract 12 to work out the value of x
- 7. Solving Equations in 1 step 3x = 12 x = 4 Divide by 3 We started out with x, then multiplied by 3 So we must divide by 3 to work out the value of x
- 8. Solving Equations in 1 step x 8 = 2 x = 16 Multiply by 8 We started out with x, then divided by 8 So we must multiply by 8 to work out the value of x
- 9. Solving Equations in 1 step 7x = 21 x = 3 Divide by 7 We started out with x, then multiplied by 7 So we must divide by 7 to work out the value of x
- 10. Solving Equations in 1 step x 3 = 5 x = 15 Multiply by 3 We started out with x, then divided by 3 So we must multiply by 3 to work out the value of x
- 11. Solving Equations in 1 step Work out the value of x in each of the following equations. It is essential that you write down the step you do to solve it (like we have just done) a) x – 7 = 18 b) x + 4 = 21 c) x – 11 = 13 d) 6x = 12 e) 3x = 33 f) = 6 g) = 7 h) x – 12 = 15 i) x + 18 = 43 j) 8x = 96 k) = 15 l) 5x + 8 = 28 x 4 x 9 x 16 x = 25 x = 17 x = 24 x = 2 x = 11 x = 54 x = 28 x = 27 x = 25 x = 12 x = 240 x = 4
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