NBT Mathematics Proficiency

Question 1

What is the value of x in the equation 3x + 7 = 16?

Accepted Answer

x = 5.

Answer

To solve the equation 3x + 7 = 16, one must first subtract 7 from both sides, which simplifies to 3x = 9. Then, dividing both sides by 3 yields x = 3. Therefore, based on the given equation, the correct value for x is 3, not 5.

Question 2

What is the result of multiplying 9 by 4?

Accepted Answer

36.

Answer

Multiplication is a fundamental arithmetic operation that involves combining equal groups. To find the result of multiplying 9 by 4, you can think of it as adding 9 four times (9 + 9 + 9 + 9) or adding 4 nine times. Both methods yield the product of 36.

Question 3

If a rectangle has a length of 6 units and a width of 3 units, what is the area?

Accepted Answer

18 square units.

Answer

The area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 6 units and the width is 3 units. Therefore, the area is 6 units multiplied by 3 units, which equals 18 square units.

Question 4

What is the square root of 81?

Accepted Answer

9.

Answer

The square root of a number is a value that, when multiplied by itself, gives the original number. For 81, we are looking for a number 'x' such that x multiplied by x equals 81. Since 9 multiplied by 9 equals 81, the square root of 81 is 9.

Question 5

Solve the equation 2x + 5 = 15. What is x?

Accepted Answer

x = 7.

Answer

To solve the equation 2x + 5 = 15, one must first subtract 5 from both sides, which simplifies to 2x = 10. Then, dividing both sides by 2 yields x = 5. Therefore, based on the given equation, the correct value for x is 5, not 7.

(NBT) National Benchmark Test Practice Test

(NBT) National Benchmark Test Practice Test

NBT Mathematics Proficiency