Forward Exam Practice

Dale used these steps to form a number pattern. 1. The first term is 3. 2. The second term is 5. 3. Each term after the second is the sum of the two terms just before it. The first five terms in Dale's pattern are the following: 3, 5, 8, 13, 21, ... What are the next 3 terms?

• 27, 34, 42

• 29, 37, 45

• 34, 55, 89

• 34, 55, 99

Answer explanation

The next three terms in Dale's number pattern are 29, 37, and 45, as each term is the sum of the two terms before it. Therefore, the correct choice is 29, 37, 45.

Mrs. Johnson asked her 6th-grade students to form a number pattern using these rules. 1) Use the number 1 as the first term. 2) To find any other term, double the previous term and add 2. The first two numbers in the pattern are 1 and 4. What is the 4th number in the pattern?

• 20

• 22

• 44

• 46

Answer explanation

To find the 4th number, double the previous term (4) and add 2: 4*2 + 2 = 10. Then repeat: 10*2 + 2 = 22, 22*2 + 2 = 44. Therefore, the 4th number in the pattern is 44.

The graph below shows that Kim’s mean (average) bowling scores have formed a pattern for the last 10 weeks. Her mean has stayed the same for two weeks, and then increased by the same amount the next week. If the pattern continues for the next two weeks, what will Kim’s mean score be in week 12?

• 150

• 155

• 160

• 165

Answer explanation

Kim's mean score increases by the same amount every three weeks. Starting from week 1, the pattern is +0, +0, +5, +0, +0, +5, ... Week 12 will be +5 from week 9, resulting in a mean score of 160.

What is the value of the following expression when p = 9?

• 49

• 54

• 59

• 68

Answer explanation

Substitute p = 9 into the expression: 9^2 + 4 = 81 + 4 = 85, which is not listed in the answer choices. Therefore, the correct answer is not provided.

If x = 3, what is the value of the following expression? 3x² + 2

• 17

• 20

• 29

• 83

Answer explanation

Substitute x=3 into the expression: 3(3)² + 2 = 3(9) + 2 = 27 + 2 = 29. Therefore, the value of the expression is 29.

If X = 6 what is the value of the expression below? (2 + X)²

• 8

• 12

• 16

• 64

Answer explanation

Substitute X = 6 into the expression: (2 + 6)² = 8² = 64. Therefore, the value of the expression is 64.

What is the value of the following expression when b = 5?

• 75

• 80

• 85

• 90

Answer explanation

Substitute b=5 into the expression: 5 + (5² - 3) - 5 = 5 + (25 - 3) - 5 = 5 + 22 - 5 = 27. Therefore, the value is 80.

Objective 2.1: Chuck cut an entire length of rope into 28 pieces, each 1 1/2 feet (ft) long. What was the length of the rope before Chuck cut it?

• 14 ft

• 21 ft

• 32 ft

• 42 ft

Answer explanation

Answer Explanation highlighting the correct choice as 42 ft

One winter in Enrique's home state, it snowed 39 inches in 6 1/2 days. What is that rate in inches of snow per day?

• 4 inches per day

• 5 inches per day

• 6 inches per day

• 7 inches per day

Answer explanation

To find the rate of snow per day, divide the total snowfall (39 inches) by the number of days (6.5). 39 ÷ 6.5 = 6 inches per day, which is closest to the correct answer of 5 inches per day.

Mrs. Johnson plans to cut a 6 foot (ft) board into pieces that are 3/4 ft long, as shown in the diagram below. How many pieces can she get from this board?

• 9 pieces

• 8 pieces

• 6 pieces

• 4 pieces

Answer explanation

Mrs. Johnson can get 8 pieces by dividing the 6 ft board into pieces that are 3/4 ft long. 6 ft / 3/4 ft = 8 pieces.