at are you going tolearn?To d efine a linea r equation with one variable T o m ake a mo de l to s tate an eq uationT o un d ers ta nd S o lution a nd S o lution S et Key Terms :• equation • linea r equation with one vari abl e • s olution a nd S et solution Think and discuss. A circus has 3 male and 3 female tigers. a) If the keeper feeds 39 kg of meat to the tigers each day and each tiger gets the same portion, what is the weight of meat fed to each tiger everyday? Think and discuss. A circus has 3 male and 3 female tigers. a) If the keeper feeds 39 kg of meat to the tigers each day and each tiger gets the same portion, what is the weight of meat fed to each tiger everyday? b) If each tiger eats m kg ofmeat everyday, and the meat eaten by all tigers is 45 kg, write down an open sentence related to the weight of meat eaten by all tigers. How many kg of meat are eaten by six female tigers? b) If each tiger eats m kg ofmeat everyday, and the meat eaten by all tigers is 45 kg, write down an open sentence related to the weight of meat eaten by all tigers. How many kg of meat are eaten by six female tigers? c) If a male tigereats meat twice as much as a female tiger, and the meat eaten by all tigers is 36 kg, howmany kilograms of meat are eaten by six male tigers? c) If a male tigereats meat twice as much as a female tiger, and the meat eaten by all tigers is 36 kg, howmany kilograms of meat are eaten by six male tigers? 4 4 . . 2 2 Picture 4..4 In the tiger problems: •If one tiger eats m kg, then the relation is 6m = 45. •The value of m is unknown. Therefore, m is a variable. An open sentence that uses the sign “=” is called an equation. •If the highest power of the variable in an equation is 1, then that equation is called a linear equation. Mathematics for Junior High School – Year 7/ 131
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