1 Collecting like terms
1). Two terms added together, only positive answers.
2). Two terms added together, positive and negative answers.
3). Three terms added together, one term always positive.
4). Four terms (2 of each), one term always positive.
5). Four terms (2 of each), allow terms to cancel out i.e. 0a, both could be
negative.
6). Five terms.
7). Six terms
8). Mixture
2 Substitution
1). Substituting positive values less than 12 into 1 variable. Positive answer.
2). Substituting negative values less than 12 into 1 variable. Positive or
negative answer.
3). Substituting positive or negative values less than 12 into 1 variable.
Positive or negative answer.
4). Substituting positive values less than 12 into 2 variables. Positive
answer.
5). Substituting 1 positive and 1 negative values less than 12 into 2
variables. Positive answer.
6). Substituting 1 positive and 1 negative values less than 12 into 2
variables. Positive or negative answer.
7). Substituting 2 negative values less than 12 into 2 variables. Positive or
negative answer.
8). Mixture of 2 variables type.
9). Mixture of all types.
3 Expanding Single Brackets
1). Positive number outside. Two terms inside.
2). Negative number outside. Two terms inside.
3). Letter outside. Two terms inside.
4). Positive or negative number outside and letter. Two terms inside.
5). Mixture of 1-4.
4 Expanding Two Brackets
1). Two brackets. X coefficient always 1.
2). Two brackets. One X coefficient 1, the other a positive number.
3). Two brackets. X coefficients positive numbers.
4). Mixture of 1-3, but one x coefficient is negative.
5). Mixture 1-4.
5)Solving Equations
1). Two terms. X coefficient positive or negative. Positive or negative whole
number answers. Only one minus sign in the equation.
2). Two terms. X coefficient positive or negative fraction. Positive or
negative whole number answers. Only one minus sign in the equation.
3). Mixture of 1-2.
4). Three terms. X coefficient 1. Whole number positive or negative answers.
5). Three terms. X coefficient whole number. Whole number positive answers.
6). Three terms. X coefficient fraction. Whole number positive answers.
7). Mixture of 5-6.
8). Mixture of 5-6, but answers positive or negative.
9). Three terms, two of which are letters. Whole number positive answers.
10). Three terms, two of which are letters. Whole number positive or negative
answers.
11). Mixture of all types.
6) Factorising to 1 Bracket
1). Two terms. Bring out positive whole number.
2). Two terms. Bring out negative whole number.
3). Two terms. Bring out letter.
4). Two terms. Bring out whole number and letter.
5). Mixture of 1 - 4.
7) Factorising to 2 Brackets
1). Factorise a quadratic, both x coefficients 1.
2). Factorise a quadratic, one x coefficient 1, the other whole number.
3). Factorise a quadratic, both x coefficients whole number.
4). Mixture of 1-3, but one x negative.
5). Mixture 1-4.