FREE AASA 6th Grade Math Questions and Answers

Question 1

Which two expressions, when applied to any variable value larger than zero, are equivalent?

Accepted Answer

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

Answer

Equivalent expressions represent the same value regardless of the variable's input. In option A, 'b + b' simplifies to '2b'. Therefore, 'b + b + 3c' is equivalent to '2b + 3c' because the like terms are combined correctly. The other options involve incorrect simplification or distribution, making them not equivalent.

Question 2

This equation is displayed below.

12 – 9 + c equals 12.

For what value of c, the equation is true?

Accepted Answer

9

Answer

To find the value of 'c' that makes the equation true, we first simplify the left side of the equation: '12 - 9' equals '3'. The equation then becomes '3 + c = 12'. To isolate 'c', subtract 3 from both sides of the equation, resulting in 'c = 12 - 3', which simplifies to 'c = 9'.

Question 3

Which expressions are equivalent?

Accepted Answer

4(3x + 4x) and 12x + 16x

Answer

Equivalent expressions have the same value for any variable. In option D, applying the distributive property to '4(3x + 4x)' gives '4 * 3x + 4 * 4x', which simplifies to '12x + 16x'. Alternatively, simplifying inside the parentheses first, '3x + 4x' equals '7x', so '4(7x)' is '28x'. Since '12x + 16x' also equals '28x', the expressions are equivalent.

Question 4

Which of the following expressions represents 60 – 3y -9?

Accepted Answer

3(17 – y)

Answer

To find the equivalent expression, first simplify the given expression '60 – 3y - 9' by combining the constant terms: '60 - 9' equals '51'. This simplifies the expression to '51 - 3y'. Now, check the options to see which one simplifies to '51 - 3y'. Option C, '3(17 – y)', uses the distributive property to become '3 * 17 - 3 * y', which is '51 - 3y', matching the simplified original expression.

Question 5

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

Accepted Answer

12.167

Answer

The problem provides the formula for the volume of a cube, V = s³, where 's' is the side length. To find the volume, substitute the given side length, 2.3 centimeters, into the formula. Calculating 2.3 × 2.3 × 2.3 results in 5.29 × 2.3, which equals 12.167. Therefore, the volume of the cube is 12.167 cubic centimeters.

AASA - Arizona's Academic Standards Assessment Practice Test

AASA - Arizona's Academic Standards Assessment Practice Test

FREE AASA 6th Grade Math Questions and Answers