FREE Iowa Test of Basic Skills (ITBS) 6th Grade Questions and Answers

Question 1

Which combination of expressions is the same for any non-zero value of the variable?

Accepted Answer

b + b + 3c  and  2b +3c

Answer

The question asks for equivalent expressions. In option A, "b + b + 3c" can be simplified by combining the like terms "b + b" to become "2b." Therefore, "b + b + 3c" is equivalent to "2b + 3c." The other options do not show equivalent expressions when simplified or expanded.

Question 2

The following is an equation. 12 – 9 + c = 12 What value of c must exist for the equation to be true?

Accepted Answer

9

Answer

To solve the equation 12 – 9 + c = 12, first simplify the left side: 12 – 9 equals 3. So the equation becomes 3 + c = 12. To isolate 'c', subtract 3 from both sides of the equation, which gives c = 12 - 3, resulting in c = 9.

Question 3

What expression has the same meaning as 60 - 3y -9?

Accepted Answer

3(17 – y)

Answer

The original expression is 60 - 3y - 9. First, combine the constant terms: 60 - 9 equals 51. The expression becomes 51 - 3y. Next, factor out the common factor of 3 from both terms: 3(17 - y). This matches option B.

Question 4

The formula V = s3 can be used to calculate the volume, V, of any cube having a side length, s. What is the cubic centimeter volume of a cube with a side length of 2.3 centimeters?

Accepted Answer

12.167

Answer

The formula for the volume of a cube is V = s³, where 's' is the side length. Given a side length of 2.3 centimeters, you need to calculate 2.3 x 2.3 x 2.3. Multiplying 2.3 by 2.3 gives 5.29, and then multiplying 5.29 by 2.3 yields 12.167.

Question 5

What value set causes the inequality n ≥ – 5 to be true?

Accepted Answer

{- 5 , -4.5, – 3}

Answer

The inequality n ≥ – 5 means that 'n' must be greater than or equal to -5. This includes -5 itself and any number larger than -5. Option D, {-5, -4.5, -3}, contains values that are all greater than or equal to -5, making the inequality true for each number in the set. The other options contain values smaller than -5, such as -6 or -7.

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) 6th Grade Questions and Answers