Patterns and Graphs in Math

Identify the pattern in the sequence: 2, 4, 6, 8, 10. What is the rule for this pattern?

• Add 1

• Add 2

• Multiply by 2

• Subtract 2

Answer explanation

The sequence increases by 2 each time: 2 + 2 = 4, 4 + 2 = 6, 6 + 2 = 8, and 8 + 2 = 10. Therefore, the rule for this pattern is to add 2.

Tags

CCSS.3.OA.D.9

What is the next number in the pattern: 5, 10, 15, 20, ___?

• 22

• 24

• 25

• 30

Answer explanation

The pattern increases by 5 each time: 5, 10, 15, 20. Adding 5 to 20 gives 25, which is the next number in the sequence.

Tags

CCSS.2.NBT.A.2

• 5

• 6

• 7

• 8

Answer explanation

To find the value of y when x = 3, substitute 3 into the equation y = 2x + 1: y = 2(3) + 1 = 6 + 1 = 7. Therefore, the correct answer is 7.

Tags

CCSS.8.EE.B.5

Compare the patterns: Pattern A: 3, 6, 9, 12 and Pattern B: 4, 8, 12, 16. Which pattern grows faster?

• Pattern A

• Pattern B

• Both grow at the same rate

• Cannot be determined

Answer explanation

Pattern A increases by 3 each time (3, 6, 9, 12), while Pattern B increases by 4 (4, 8, 12, 16). Since Pattern B has a larger increment, it grows faster than Pattern A.

Tags

CCSS.5.OA.B.3

Find the rule for the pattern: 1, 4, 9, 16, 25.

• Add 3, 5, 7, 9

• Multiply by 2, 3, 4, 5

• Square the position number

• Subtract 1, 2, 3, 4

Answer explanation

The pattern consists of perfect squares: 1 (1^2), 4 (2^2), 9 (3^2), 16 (4^2), and 25 (5^2). Thus, the rule is to square the position number, making 'Square the position number' the correct choice.

Tags

CCSS.3.OA.D.9

Analyze the growth pattern: If a plant grows 2 cm every day, how tall will it be after 5 days?

• 8 cm

• 10 cm

• 12 cm

• 14 cm

Answer explanation

The plant grows 2 cm each day. After 5 days, it will grow 2 cm/day * 5 days = 10 cm. Therefore, the correct answer is 10 cm.

Tags

CCSS.3.OA.D.9

Interpret the data from the graph: If the graph shows a line passing through points (0, 0) and (2, 4), what is the slope of the line?

• 1

• 2

• 3

• 4

Answer explanation

To find the slope of the line passing through points (0, 0) and (2, 4), use the formula: slope = (y2 - y1) / (x2 - x1). Here, (x1, y1) = (0, 0) and (x2, y2) = (2, 4). Thus, slope = (4 - 0) / (2 - 0) = 4 / 2 = 2.

Tags

CCSS.8.EE.B.5

Identify the pattern in the sequence: 10, 20, 30, 40, 50. What is the rule for this pattern?

• Add 5

• Add 10

• Multiply by 2

• Subtract 10

Answer explanation

The sequence increases by 10 each time: 10 + 10 = 20, 20 + 10 = 30, and so on. Therefore, the rule for this pattern is to 'Add 10', making it the correct choice.

Tags

CCSS.3.OA.D.9

What is the next number in the pattern: 7, 14, 21, 28, ___?

• 30

• 32

• 35

• 40

Answer explanation

The pattern increases by 7 each time: 7 + 7 = 14, 14 + 7 = 21, 21 + 7 = 28. Continuing this, 28 + 7 = 35. Therefore, the next number is 35.

Tags

CCSS.2.NBT.A.2

• 8

• 10

• 12

• 14

Answer explanation

To find the value of y when x = 4, substitute 4 into the equation y = 3x - 2. This gives y = 3(4) - 2 = 12 - 2 = 10. Therefore, the correct answer is 10.

Tags

CCSS.8.EE.B.5