Podcast
Questions and Answers
Which of the following is the correct order of operations in solving the expression 5 + 2 x 3 - 4 ÷ 2?
Which of the following is the correct order of operations in solving the expression 5 + 2 x 3 - 4 ÷ 2?
- 11
- 9 (correct)
- 5
- 7
What is the value of x in the equation 3x + 8 = 20?
What is the value of x in the equation 3x + 8 = 20?
- 7
- 4 (correct)
- 6
- 9
If the sum of two numbers is 15 and their difference is 3, what is their product?
If the sum of two numbers is 15 and their difference is 3, what is their product?
- 30
- 36 (correct)
- 45
- 24
Which of the following is an example of a logical reasoning question?
Which of the following is an example of a logical reasoning question?
What is the value of 'x' in the equation 2x + 3 = 7?
What is the value of 'x' in the equation 2x + 3 = 7?
What is the perimeter of a square with a side length of 6 cm?
What is the perimeter of a square with a side length of 6 cm?
Flashcards
Order of operations in 5 + 2 x 3 - 4 ÷ 2
Order of operations in 5 + 2 x 3 - 4 ÷ 2
PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), from left to right, determines the order of calculations.
Solve for x in 3x + 8 = 20
Solve for x in 3x + 8 = 20
Isolate 'x' by subtracting 8 from both sides, then divide by 3.
Product of numbers with sum and difference
Product of numbers with sum and difference
Find two numbers with a given sum and difference. Multiply the numbers for the product.
Example of logical reasoning question
Example of logical reasoning question
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Solve for x in 2x + 3 = 7
Solve for x in 2x + 3 = 7
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Perimeter of a square (side length = 6 cm)
Perimeter of a square (side length = 6 cm)
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Study Notes
Order of Operations
- PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) determines the order of operations for solving expressions.
- Multiplication and Division occur from left to right.
- Addition and Subtraction occur from left to right.
Solving Linear Equations
- Isolate the variable by performing opposite operations on both sides of the equation.
Word Problems
- Identify the key information and translate it into mathematical equations.
Logical Reasoning Examples
- Questions that test reasoning skills and problem-solving abilities.
- Deductive reasoning (general to specific) and inductive reasoning (specific to general).
Solving Linear Equations with One Variable
- Combine like terms and apply operations to both sides of the equation to isolate the variable.
Perimeter of a Square
- The perimeter of a square is the total length of all its sides.
- The perimeter of a square is calculated by multiplying the length of one side by 4.
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