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Name the next three terms in each sequence.

1. 7, 10, 13, 16, __, __, __

2. 105, 88, 71, 54, __, __, __

3. 64, 128, 256, 512, _____, _____, _____

19 22 25

37 20 3

1,024 2,048 4,096

Sam’s house is 3 blocks east and 5 blocks south of Tyra. If Tyra walks straight south and then straight east to Sam’s house, does she walk more blocks east or more blocks south?

How many more?

south

2 blocks

Learn to write expressions for tables and sequences.

Additional Example 1: Writing an Expression

Write an expression for the missing value in the table.

Rusty’s age is Spike’s age plus 4.

Spike’s Age

Rusty’s Age

2 + 4 = 6

2

6

3

7

3 + 4 = 7

4 + 4 = 8

4

8

a

a + 4

a + 4

When Spike’s age is a, Rusty’s age is a + 4.

Write an expression for the missing value in the table.

Ty’s Age

Rich’s Age

Rich’s age is Ty’s age times 7.

1 7 = 7

1

7

2

14

2 7 = 14

3 7 = 21

3

21

a

a 7

a 7

When Ty’s age is a, Rich’s age is a 7 or 7a.

Additional Example 2: Writing an Expression for a Sequence

Write an expression for the sequence in the table.

Look for a relationship between the positions and the values of the terms in the sequence. Use guess and check.

Guess 7nGuess 3n + 4

Check by substituting 2. Check by substituting 2.

7 • 2 does not equal 10. 3 • 2 + 4 = 10.

The expression 3n + 4 works for the entire sequence.

3 • 1 + 4 = 7, 3 • 2 + 4 = 10, 3 • 3 + 4 = 13, 3 • 4 + 4 = 16

The expression for the sequence is 3n + 4.

Write an expression for the sequence in the table.

Look for a relationship between the positions and the values of the terms in the sequence. Use guess and check.

Guess 7nGuess 5n + 2

Check by substituting 2. Check by substituting 2.

7 • 2 does not equal 12. 5 • 2 + 2 = 12.

The expression 5n + 2 works for the entire sequence.

5 • 1 + 2 = 7, 5 • 2 + 2 = 12, 5 • 3 + 2 = 17, 5 • 4 + 2 = 22

The expression for the sequence is 5n + 2.

6h

__

2

In each row of the table, the area is half the product of the

base and the height. The expression is or 3h.

Additional Example 3: Writing an Expressions for the Area of a Figure

A triangle has a base of 6 inches. The table shows the area of the triangle for different heights. Write an expression that can be used to find the area of the triangle when its height is h inches.

6 • 1 = 6, 6 ÷ 2 = 3

6 • 2 = 12, 12 ÷ 2 = 6

6 • 4 = 18, 18 ÷ 2 = 9

3h

4h

__

2

In each row of the table, the area is half the product of the

base and the height. The expression is or 2h.

Check It Out: Example 3

A triangle has a base of 4 inches. The table shows the area of the triangle for different heights. Write an expression that can be used to find the area of the triangle when its height is h inches.

4 • 3 = 12, 12 ÷ 2 = 6

4 • 4 = 16, 16 ÷ 2 = 8

4 • 5 = 20, 20 ÷ 2 = 10

2h

1. Write an expression for the missing value in the table.

Scott’s Age

Ray’s Age

11

15

12

16

13

17

x

x + 4

3. A rectangle has a width of 7 in. The table shows the area of the rectangle for different lengths. Write an expression that can be used to find the area of the rectangle when its length is l.

7l

Lesson Quiz for Student Response Systems

- Identify an expression for the missing value in the table.
- A.x + 24
- B. 24x
- C. 23x + 1
- D. 25x – 1

Lesson Quiz for Student Response Systems

2. Identify an expression for the missing value in the table.

A.n + 4

B. 2n + 2

C. 3n + 2

D.n2+ 4

Lesson Quiz for Student Response Systems

3. Identify an expression for the missing value in the table.

A. 6w + 9

B. 7w + 6

C. 8w + 3

D. 9w

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