Understanding Basic Algebraic Expressions

This video tutorial covers writing addition and subtraction expressions using bar diagrams and variables. It explains the commutative property of addition and demonstrates how to use parentheses for complex expressions. The tutorial includes practice problems to reinforce learning.

What does the commutative property of addition state?

• The order of numbers in addition does not matter.

• Subtraction is the opposite of addition.

• Multiplication is repeated addition.

• Addition always results in a larger number.

If a number is increased by 2, which expression represents this?

• a + 2

• a - 2

• 2a

• 2 - a

How can you represent the sum of two variables, M and K?

• MK

• M / K

• M + K

• M - K

What happens when you subtract a larger number from a smaller one?

• The result is always zero.

• You get a negative number.

• You get a positive number.

• The numbers cancel each other out.

Which expression correctly represents 'three less than a number n'?

• n + 3

• 3 - n

• n - 3

• 3 + n

Why are parentheses important in expressions like C minus the sum of A and B?

• They change the operation from addition to subtraction.

• They are not necessary.

• They make the expression look neat.

• They ensure the sum is calculated first.

What is the result of 3 minus the sum of 1 and 2?

• 0

• 1

• 2

• 3

Which expression represents 'the sum of seven and one and a half'?

• 7 * 1.5

• 7 + 1.5

• 7 - 1.5

• 7 / 1.5

How would you express 'W increased by four'?

• 4W

• 4 - W

• W - 4

• W + 4

What does 'four decreased by the sum of G and five' look like?

• 4 - (G + 5)

• 4 + G + 5

• 4 * (G + 5)

• G + 5 - 4