Algebraic Expressions and Operations

Two numerical patterns can be created using the rules provided. Rule for pattern 1: Start with 3, and add 4. Rule for pattern 2: Start with 6, and add 4. Which statement about the corresponding terms of both patterns is correct?

• Each term in pattern 1 is 3 more than the corresponding term in pattern 2.

• Each term in pattern 2 is 3 more than the corresponding term in pattern 1.

• Each term in pattern 1 is 4 more than the corresponding term in pattern 2.

• Each term in pattern 2 is 4 more than the corresponding term in pattern 1.

Consider the given rules for two numerical patterns. - Pattern X: Start with 4, and add 1 to each term. - Pattern Y: Start with 1, and add 5 to each term. If Pattern X is used to create x-coordinates, and Pattern Y is used to create y-coordinates, which coordinate plane shows the patterns graphed correctly?

• The first graph.

• The second graph.

Tags

CCSS.5.OA.B.3

Two numerical patterns can be created using the rules provided. Rule for pattern 1: Start with the number 2, and add 4. Rule for pattern 2: Start with the number 5, and multiply it by 3. Which number patterns match the rules?

• pattern 2 : 5, 15, 45, 135, ...

• pattern 2 : 5, 8, 11, 14, ...

• pattern 1 : 4, 6, 8, 10, ...

• pattern 1 : 2, 8, 32, 128, ...

• pattern 1 : 2, 6, 10, 14, ...

Which expression represents 7 added to the product of 5 and 3?

• (5 × 3) + 7

• (5 ÷ 3) + 7

• (5 × 3) ÷ 7

• (5 + 3) × 7

Which two expressions represent 7 added to the product of 5 and 3?

• (5 ÷ 3) + 7

• 7 + (5 × 3)

• (5 × 3) + 7

• (5 × 3) ÷ 7

• (5 + 3) × 7

Which expression represents the product of 5 and 2 subtracted from the product of 9 and 7?

• (9 × 7) − (5 × 2)

• (5 × 2) − (9 × 7)

• (9 − 7) × (5 × 2)

• (5 × 2) × (9 − 7)

Which two expressions are equivalent to 16?

• (2 × 3) + (2 × 5)

• (2 × 3) + (2 × 2)

• (3 × 2) + (5 × 2)

• (3 × 2) + (2 × 2)

• (2 + 3) × (2 + 2)

What is the value of [4 × (7 + 2)] − (5 × 2)?

• 20

• 26

• 50

• 62

Which two numerical expressions are equivalent to “6 times 5 is divided by 4 less than 9”?

• (6 × 5) ÷ (4 − 9)

• (6 ÷ 5) × (9 − 4)

• (6 × 5) ÷ (9 − 4)

• (5 × 6) ÷ (4 − 9)

• (5 × 6) ÷ (9 − 4)

Which describes the value of the expression 7 × (58 + 94)?

• 94 times as large as the product of 58 and 7

• 94 more than the product of 58 and 7

• 7 times as large as the sum of 58 and 94

• 7 more than the sum of 58 and 94