The flow chart shows operations being performed on s:
\begin{array}{ccccc} & {-7} & & {\times 6} & \\ s & \to & ⬚ & \to & ⬚ \end{array}
Complete the flow chart.
The flow chart shows operations being performed on t:
\begin{array}{ccccc} & +3 & & \div 5 & \\ t & \to & ⬚ & \to & ⬚ \end{array}
Complete the flow chart.
Complete the following flow charts to form new expressions:
Complete the following flow charts to backtrack to the pronumeral in each expression:
Complete the following flow charts by identifying the required operations:
Consider the equation 4 x + 16 = 24.
Identify which operations should be done to make x the subject of the equation:\begin{array}{ccccc} &\text{Operation }1&&\text{Operation }2&\\ 4x + 16&\to&4x&\to&x \end{array}
Complete the following flow chart by applying the same operations to the right-hand side of the equation:\begin{array}{ccccc} &\text{Operation }1&&\text{Operation }2&\\ 24&\to&⬚&\to&⬚ \end{array}
Hence, find the value of x that will make the equation true.
Consider the equation 3 \left(p + 11\right) = 57.
Identify which operations should be done to make p the subject of the equation:\begin{array}{ccccc} &\text{Operation }1&&\text{Operation }2&\\ 3 \left(p + 11\right)&\to&p + 11&\to&p \end{array}
Complete the following flow chart by applying the same operations to the right-hand side of the equation:\begin{array}{ccccc} &\text{Operation }1&&\text{Operation }2&\\ 57&\to&⬚&\to&⬚ \end{array}
Hence, find the value of p that will make the equation true.
Consider the equation \dfrac{j}{7} - 3 = 7.
Identify which operations should be done to make j the subject of the equation:\begin{array}{ccccc} &\text{Operation }1&&\text{Operation }2&\\ \dfrac{j}{7} - 3&\to&\dfrac{j}{7}&\to&j \end{array}
Complete the following flow chart by applying the same operations to the right-hand side of the equation:\begin{array}{ccccc} &\text{Operation }1&&\text{Operation }2&\\ 7&\to&⬚&\to&⬚ \end{array}
Hence, find the value of j that will make the equation true.
Describe the operations required to make the pronumeral the subject.
Hence, solve the equation.
Explain how to solve the equation -2x - 4 = -18.
Solve the following equations, remembering to check your answer:
7 x + 17 = 45
4 x + 9 = 25
2 t + 13 = 35
7 m + 18 = 39
12 p + 3 = 51
2x + 14 = 20
6y + 4 = 34
3q + 9 = 12
Solve the following equations:
13 x - 2 = 24
5 t - 15 = 15
29 m - 8 = 21
11 x - 22 = 22
2p - 17 = 3
9q - 4 = 23
6n - 29 = 7
12m + 7 = 19
Solve the following equations:
\dfrac{x}{3} + 2 = 7
\dfrac{q}{2} + 18 = 25
\dfrac{s}{7} + 4 = 5
\dfrac{m}{5} + 13 = 22
\dfrac{p}{11} - 3 = 3
\dfrac{n}{8} - 5 = 4
\dfrac{p}{13} - 3 = 7
\dfrac{x}{12} + 2 = 6
\dfrac{s}{4} + 15 = 31
\dfrac{x}{6} + 7 = 17
Solve the following equations:
\dfrac{40 + m}{15} = 3
\dfrac{r+11}{5} = 7
\dfrac{m+26}{17} = 3
\dfrac{t-5}{4} = 8
\dfrac{q-17}{3} = 4
Solve the following equations:
9 \left( x + 2 \right) = 27
2 \left( p + 9 \right) = 28
6 \left( x + 5 \right) = 54
13 \left( s - 7 \right) = 143
Solve the following equations:
11 - \dfrac{x}{6} = 9
14 = 3 r - 7
3 \left( 12 + x \right) = 90
\dfrac{n-2}{6} = 10
8 s -17= 7
8\left( 2 + s \right) = 32
10 = 2x + 6
5x-10= 15
11 = \dfrac{x+1}{2}
Explain how to solve the equation -12 = 8 + \dfrac{x}{5}.