Exploring Patterns and Numerical Properties

What is the next number in the pattern: 2, 4, 6, 8, ...?

• 12

• 10

• 24

• 32

Write an algebraic expression that represents this pattern 2, 4, 6, 8, ...

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Answer explanation

An algebraic expression includes a number and variable.

Think about an input/output table.

1st number - 2

2nd number - 4

3rd number - 6

4th number - 8

1 * 2 = 2

2 * 2= 4

3 * 2 = 6

The algebraic expression is 2x or 2n

Write an algebraic expression for the pattern: 5, 10, 15, 20, ...

• n+5

• 15n

• 10n

• 5n

If x = 7, what is the value of 4(x - 2)?

• 15

• 20

• 25

• 10

What is the next term in the sequence: 1, 3, 6, 10, ...?

• 12

• 20

• 25

• 15

Write an algebraic expression for the pattern: 1, 3, 5, 7, ...

• 2n-1

• 2n

• n+1

• n^3

You own a large business. You need to hire new employees for 3 different departments.

The HR department needs 2 times the amount of people in the Development department. The Customer Service department needs 15 less people than the HR department.

What type of number will your solution be?

• Rational Number

• Real Number

• Natural Number

• Integer

True or False: 2+7 = 7+2

• True

• False

True or False: 2x + 7 = 2 + 7x

• True

• False

• True

• False