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Al- Qimma Schools
Summary SAT Math Level 1 Name: _________________________ Subject: Numbers and Operations
Grade: 11 Date: ___________
Order of Operations
PEMDAS Parentheses Exponents Multiplication Division Addition Subtraction “Please Excuse My Dear Aunt Sally.”
Operations and Odd and Even Numbers Addition
Subtraction
Multiplication
Even + Even = Even
Even – Even = Even
Odd + Odd = Even
Odd – Odd = Even
Odd
Odd = Odd
Even + Odd = Odd
Even – Odd = Odd
Even
Odd = Even
Even
Even = Even
Multiplying and Dividing Negative Numbers Multiplying with Negative Numbers
Dividing with Negative Numbers
Positive
Positive = Positive
Positive
Positive = Positive
Negative
Negative = Positive
Negative
Negative = Positive
Positive
Negative = Negative
Positive
Negative = Negative
Absolute Value
Mathematics 11
1
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Al- Qimma Schools
Divisibility Rules 1. All whole numbers are divisible by 1. 2. All numbers with a ones digit of 0, 2, 4, 6, or 8 are divisible by 2. 3. A number is divisible by 3 if its digits add up to a number divisible by 3. For example, 6,711 is divisible by 3 because 6 + 7 + 1 + 1 = 15, and 15 is divisible by 3. 4. A number is divisible by 4 if its last two digits are divisible by 4. For example, 80,744 is divisible by 4, but 7,850 is not. 5. A number is divisible by 5 if it ends in 0 or 5. 6. A number is divisible by 6 if it is even and also divisible by 3. 7. There are no rules for 7. It is a rebel. 8. A number is divisible by 8 if its last three digits are divisible by 8. For example, 905,256 is divisible by 8 because 256 is divisible by 8, and 74,513 is not divisible by 8 because 513 is not divisible by 8. 9. A number is divisible by 9 if its digits add up to a number divisible by 9. For example, 1,458 is divisible by 9 because 1 + 4 + 5 + 8 = 18 and 18 is divisible by 9. 10. A number is divisible by 10 if it ends in 0.
Multiplying and Dividing Fractions
Exponents Rules
Sequences Arithmetic Sequences
The notation of an arithmetic sequence is
For the SAT, you should be able to do three things with an arithmetic sequence: 1.
Find the constant interval between terms.
Mathematics 11
2
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Al- Qimma Schools
2. Find any term in the sequence.
3. Calculate the sum of the first n terms.
Geometric Sequences
The general form of a geometric sequence is
As with arithmetic sequences, you should be able to perform three tasks on geometric sequences for the SAT: 1.
Find r. Divide one term by the preceding term.
2. Find the nth term.
3. Calculate the sum of the first n terms.
There are also many definitions and examples that we wrote and studied in this chapter… So study from your notebook also…
Best wishes Mahmoud M. Aladdasi
Mathematics 11
3
Al- Qimma Schools
Summary SAT Math Level 1 Name: _________________________ Subject: Numbers and Operations
Grade: 11 Date: ___________
Order of Operations
PEMDAS Parentheses Exponents Multiplication Division Addition Subtraction “Please Excuse My Dear Aunt Sally.”
Operations and Odd and Even Numbers Addition
Subtraction
Multiplication
Even + Even = Even
Even – Even = Even
Odd + Odd = Even
Odd – Odd = Even
Odd
Odd = Odd
Even + Odd = Odd
Even – Odd = Odd
Even
Odd = Even
Even
Even = Even
Multiplying and Dividing Negative Numbers Multiplying with Negative Numbers
Dividing with Negative Numbers
Positive
Positive = Positive
Positive
Positive = Positive
Negative
Negative = Positive
Negative
Negative = Positive
Positive
Negative = Negative
Positive
Negative = Negative
Absolute Value
Mathematics 11
1
אא
Al- Qimma Schools
Divisibility Rules 1. All whole numbers are divisible by 1. 2. All numbers with a ones digit of 0, 2, 4, 6, or 8 are divisible by 2. 3. A number is divisible by 3 if its digits add up to a number divisible by 3. For example, 6,711 is divisible by 3 because 6 + 7 + 1 + 1 = 15, and 15 is divisible by 3. 4. A number is divisible by 4 if its last two digits are divisible by 4. For example, 80,744 is divisible by 4, but 7,850 is not. 5. A number is divisible by 5 if it ends in 0 or 5. 6. A number is divisible by 6 if it is even and also divisible by 3. 7. There are no rules for 7. It is a rebel. 8. A number is divisible by 8 if its last three digits are divisible by 8. For example, 905,256 is divisible by 8 because 256 is divisible by 8, and 74,513 is not divisible by 8 because 513 is not divisible by 8. 9. A number is divisible by 9 if its digits add up to a number divisible by 9. For example, 1,458 is divisible by 9 because 1 + 4 + 5 + 8 = 18 and 18 is divisible by 9. 10. A number is divisible by 10 if it ends in 0.
Multiplying and Dividing Fractions
Exponents Rules
Sequences Arithmetic Sequences
The notation of an arithmetic sequence is
For the SAT, you should be able to do three things with an arithmetic sequence: 1.
Find the constant interval between terms.
Mathematics 11
2
אא
Al- Qimma Schools
2. Find any term in the sequence.
3. Calculate the sum of the first n terms.
Geometric Sequences
The general form of a geometric sequence is
As with arithmetic sequences, you should be able to perform three tasks on geometric sequences for the SAT: 1.
Find r. Divide one term by the preceding term.
2. Find the nth term.
3. Calculate the sum of the first n terms.
There are also many definitions and examples that we wrote and studied in this chapter… So study from your notebook also…
Best wishes Mahmoud M. Aladdasi
Mathematics 11
3
