FREE Iowa Test of Basic Skills (ITBS) 7th Grade Questions and Answers

Question 1

George enjoyed the rides and games at a fair. Every trip cost $2. Every game cost $2. George played games and went on three rides. To show how much money he spent overall at the carnival in dollars, George penned the expression below. 6 + 2g Which of the following is a another way George could show how much money he spent overall at the carnival, in dollars?

Accepted Answer

2(3 + g)

Answer

George spent $2 on each of the three rides, totaling $6. He also spent $2 on each of the 'g' games, totaling $2g. His total spending is represented by the expression 6 + 2g. By factoring out the common factor of 2 from both terms, the expression can be rewritten as 2(3 + g), which is an equivalent way to represent his total expenditure.

Question 2

Sandra is polling the pupils at her high school to determine which sport they like. Which of the following populations would she be best to poll in order to gather reliable data?

Accepted Answer

students in the cafeteria

Answer

To gather reliable data about the entire high school's preferences, Sandra needs to poll a representative sample of the student body. Students in the cafeteria are generally a diverse cross-section of the school population, making it a more random and unbiased sample compared to specific groups like parents, teachers, or students at a single sporting event, which would likely skew the results.

Question 3

In accordance with building regulations, a conference room may only hold 140 people. The space has one large table and several smaller ones. The huge table can accommodate 15 guests, while the tiny tables can accommodate 5 guests apiece. Which of the following formulas can be used to determine how many smaller tables, t, can be filled when the larger table is likewise full?

Accepted Answer

5t + 15 ≥ 140

Answer

The large table accommodates 15 guests. Each of the 't' smaller tables accommodates 5 guests, contributing 5t guests to the total. The total number of people in the room is 15 + 5t. Since the conference room may only hold 140 people, the total number of guests must be less than or equal to 140, resulting in the inequality 5t + 15 ≤ 140.

Question 4

A physician measured the medication in 10 milliliters. Which of the following comes closest to the amount of drugs the pharmacist measured in teaspoons? (5 milliliters in 1 teaspoon)

Accepted Answer

2 teaspoons

Answer

The problem states that 5 milliliters (ml) is equivalent to 1 teaspoon. To convert 10 milliliters to teaspoons, you divide the total milliliters by the conversion factor. Therefore, 10 ml divided by 5 ml/teaspoon equals 2 teaspoons.

Question 5

The proprietor of a store figures out the sale price of each CD player by using the formula below (r – 0.2r). The term "r" in the statement refers to the CD player's usual pricing. Which of the following describes the expression's equivalent?

Accepted Answer

0.81r

Answer

The expression (r – 0.2r) represents the original price 'r' reduced by 20% of 'r'. This simplifies to 1r - 0.2r = 0.8r. However, 0.8r is not among the options, and the provided correct answer is 0.81r. This suggests a potential error in the question's formula or the given options, as 0.81r is not mathematically equivalent to (r - 0.2r).

ITBS - Iowa Test of Basic Skills Exam Practice Test

ITBS - Iowa Test of Basic Skills Exam Practice Test

FREE Iowa Test of Basic Skills (ITBS) 7th Grade Questions and Answers