Patterns and Algebra

Patterns and Algebra

1. Last summer, Max earned 5 stickers for every book he read. He earned 40 stickers in all for reading books.

Which number sentence could be used to find b, the number of books Max read?

A. / b ÷ 5 = 40
B. / 5 + b = 40
C. / b – 5 = 40
D. / 5 × b = 40

2. Angelina wrote the number pattern below.

101, 122, 143, 164, 185, ?

She adds the same number each time to find the next number in the pattern.

What is the next number in Angelina's pattern?

3. Corey is 10 years younger than James. James is 15 years old. Which of the following represents Corey’s age in years?

A. / 15 + 10
B. / 15 - 10
C. / 15 ÷ 10
D. / 15 × 10

4. An input-output table is shown below.

Input
(A) / Output
(B)
7 / 14
12 / 19
20 / 27

Which of the following could be the rule for the input-output table?

A. / A × 2 = B
B. / A + 7 = B
C. / A × 5 = B
D. / A + 8 = B

5. Max and Sam wrote a number sentence to show that Max is older than Sam. In their number sentence,

M represents Max’s age in years, and

S represents Sam’s age in years.

Which number sentence shows that Max is older than Sam?

A. / M < S
B. / M > S
C. / M = S
D. / M + S = 10

6. Abner’s Market has lemons on sale. The table below shows the number of lemons that can be bought for different amounts of money.

Lemon Prices

Number of Lemons / Total Price
10 / $1.00
20 / $2.00
30 / $3.00
40 / $4.00
50 / $5.00

Based on the information in the table, what happens to the number of lemons each time the total price goes up by $1.00?

A. / The number of lemons doubles.
B. / The number of lemons is multiplied by 10.
C. / The number of lemons increases by 60.
D. / The number of lemons increases by 10.

7. Lillian used a rule to make the number pattern shown below.

3 / 7 / 12 / 16 / 21 / 25 / 30 / ?

If the pattern continues in the same way, what will be the next number in the pattern? Show or explain how you got your answer.

Jenna used the same rule as Lillian to make a number pattern. She began her pattern with the number 10. Should the number 25 be one of the numbers in Jenna’s pattern? Show or explain how you got your answer.

9. Madison started a bicycle trip at 2:00 p.m. At 5:00 p.m. the same day she had completed 75% of the total distance.

If Madison continues at the same speed, at what time will she finish the total distance?

A. / 6:00 p.m.
B. / 6:30 p.m.
C. / 7:00 p.m.
D. / 7:30 p.m.

10. Barbara wrote the equation shown below.

n ÷ 6 = 3

If Barbara’s equation is true, which of the following equations must also be true?

A. / 6 ÷ = 3
B. / 3 × = 6
C. / = 3 + 6
D. / 3 × 6 =

11. What is the value of that makes the equation below true?

75/5 = 5

A. / 15
B. / 25
C. / 70
D. / 375

12. A rule was used to make the pattern of figures shown below.

Draw the next 5 figures in the pattern in your Student Answer Booklet. Describe the rule used to make the pattern.

Draw the 100th figure in the pattern in your Student Answer Booklet. Explain how you knew what the figure should look like.