(5) Lesson 3 PSSA Coach: Numerical Patterns

Omar generated two numerical patterns.

Which of the following correctly describes the patterns?

• The terms in the second pattern are 40 more than the corresponding terms in the first pattern.

• The terms in the second pattern are 5 times the corresponding terms in the first pattern.

• The rule for the first pattern is multiply by 2.

• The rule for the second pattern is multiply by 2.

For which set of patterns are the terms in the second pattern one-half the corresponding terms in the first pattern?

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Mandy made turquoise paint by mixing drops of green tint and blue tint in jars of white paint. The table below shows how many drops Mandy used.

What is the rule for green tint?

• Add 1

• Add 2

• Add 3

• Multiply by 2

What is the rule for blue tint?

• Add 2

• Multiply by 2

• Add 4

• Multiply by 4

What is the relationship between the two numerical patterns:

4, 7, 10, 13, 16, ...

8, 11, 14, 17, 20, ...?

• The terms of the first pattern are 3 more than the corresponding terms in the second pattern.

• The terms in the second pattern are 2 times the corresponding terms in the first pattern.

• The terms in the second pattern are 4 more than the corresponding terms in the first pattern.

• The terms in the second pattern are 4 times the corresponding terms in the first pattern.

Rami generated two numerical patterns:

Pattern A: 5, 10, 15, 20, 25, ...

Pattern B: 10, 20, 30, 40, 50, ....

Which statement about the patterns is true?

• The rule for Pattern A is multiply by 2.

• The rule for Pattern A is add 10.

• The rule for Pattern B is multiply by 2.

• The rule for Pattern B is add 10.

Which statement about the corresponding terms of the two patterns is true?

• Each term in Pattern B is 9 more than the corresponding term in Pattern A.

• Each term in Pattern B is 5 more than the corresponding terms in Pattern A.

• The difference between any term in Pattern B and the corresponding term in Pattern A is always 5.

• The difference between any term in Pattern B and the corresponding term in Pattern A is always a multiple of 5.

Which rules were used to create the two patterns?

• Both patterns use the rule multiply by 2.

• Both patterns use the rule add 5.

• Pattern A uses the rule add 4 and Pattern B uses the rule add 9.

• Pattern A uses the rule multiply by 4 and Pattern B uses the rule multiply by 9.

What is the relationship between the number of hours and the amount of pay?

• The payment in dollars is 2 times the number of hours.

• The payment in dollars is 5 times the number of hours.

• The payment in dollars is 10 times the number of hours.

• The payment in dollars is 8 more than the number of hours.

Using the pattern in the table, how much would Gina receive if she babysat for 11 hours?

• $16

• $55

• $60

• $70