Trivia Quiz On Variables, Expressions, Exponents Order Of Operations!

1. Which variable expression represents "The sum of a number and 6'

N + 6

6n

N - 6

N/6

The variable expression "n + 6" represents the sum of a number and 6. By adding the variable "n" to the constant 6, we can find the sum of any number and 6.

Explanation

The variable expression "n + 6" represents the sum of a number and 6. By adding the variable "n" to the constant 6, we can find the sum of any number and 6.

2. A letter used to represent one or more numbers is a:

Solution

Variable

Expression

Exponent

A letter used to represent one or more numbers is called a variable. In mathematics and algebra, variables are used to represent unknown values or quantities. They can be assigned different values and are often used in equations and expressions to solve problems or find solutions. Variables allow for flexibility and generalization in mathematical calculations and analysis.

Explanation

A letter used to represent one or more numbers is called a variable. In mathematics and algebra, variables are used to represent unknown values or quantities. They can be assigned different values and are often used in equations and expressions to solve problems or find solutions. Variables allow for flexibility and generalization in mathematical calculations and analysis.

3. 5^3 (5 to the third power)
Which number is the base?

5

3

Both

The base in this question refers to the number that is being raised to a power. In this case, the base is 5 because it is being raised to the power of 3. The exponent 3 indicates that the base 5 is being multiplied by itself three times.

Explanation

The base in this question refers to the number that is being raised to a power. In this case, the base is 5 because it is being raised to the power of 3. The exponent 3 indicates that the base 5 is being multiplied by itself three times.

4. To find the quotient of a number you should:

Add

Subtract

Multiply

Divide

To find the quotient of a number, you should divide. Division is the mathematical operation used to find how many times one number can be divided by another. In this case, the quotient refers to the result of dividing one number by another. Therefore, dividing is the correct operation to find the quotient of a number.

Explanation

To find the quotient of a number, you should divide. Division is the mathematical operation used to find how many times one number can be divided by another. In this case, the quotient refers to the result of dividing one number by another. Therefore, dividing is the correct operation to find the quotient of a number.

5. When there is nothing between a number and parenthesis you should:
Example 5(4)

Add

Subtract

Multiply

Divide

When there is nothing between a number and parentheses, it implies multiplication. In the given example, 5(4), the absence of any operation symbol between 5 and (4) suggests that the two values should be multiplied together. Therefore, the correct answer is to multiply.

Explanation

When there is nothing between a number and parentheses, it implies multiplication. In the given example, 5(4), the absence of any operation symbol between 5 and (4) suggests that the two values should be multiplied together. Therefore, the correct answer is to multiply.

6. What is the correct order of operations?

Parentheses, Divide, Exponents, Multiply, Add, Subtract

Parenthesis, Exponents, Multiply, Divide, Add, Subtract

Parenthesis, multiply, Divide, Exponents, Add, Subtract

None of the above

The correct order of operations is Parentheses, Exponents, Multiply, Divide, Add, Subtract. This order is commonly known as PEMDAS, where Parentheses are evaluated first, followed by Exponents, then Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right). This order ensures that mathematical expressions are evaluated correctly and consistently.

Explanation

The correct order of operations is Parentheses, Exponents, Multiply, Divide, Add, Subtract. This order is commonly known as PEMDAS, where Parentheses are evaluated first, followed by Exponents, then Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right). This order ensures that mathematical expressions are evaluated correctly and consistently.

7. To find the product of two numbers you should:

Add

Subtract

Multiply

Divide

To find the product of two numbers, you should multiply them. Multiplication is the mathematical operation that combines two numbers to give their total value when they are repeated a certain number of times. In this case, multiplying two numbers together will give you their product, which represents the result of their multiplication.

Explanation

To find the product of two numbers, you should multiply them. Multiplication is the mathematical operation that combines two numbers to give their total value when they are repeated a certain number of times. In this case, multiplying two numbers together will give you their product, which represents the result of their multiplication.

8. What is 5^3? (5 to the third power)

15

25

125

None of the above

The question asks for the value of 5 raised to the power of 3, which means multiplying 5 by itself three times. When we do this calculation, we get 5 x 5 x 5 = 125. Therefore, the correct answer is 125.

Explanation

The question asks for the value of 5 raised to the power of 3, which means multiplying 5 by itself three times. When we do this calculation, we get 5 x 5 x 5 = 125. Therefore, the correct answer is 125.

9. Which variable expression represents "14 less than a number"

N/14

14-n

N-14

N^14

The variable expression "n-14" represents "14 less than a number". This is because when we subtract 14 from a number, we are finding the value that is 14 less than that number. Therefore, the correct answer is n-14.

Explanation

The variable expression "n-14" represents "14 less than a number". This is because when we subtract 14 from a number, we are finding the value that is 14 less than that number. Therefore, the correct answer is n-14.

10. Use the order of operations to solve:

14/7 + 36/4

9

10

11

12

To solve the given expression, we need to follow the order of operations, which states that we should perform any calculations inside parentheses first, then evaluate exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. In this case, there are no parentheses or exponents, so we move on to division. We divide 14 by 7 to get 2, and divide 36 by 4 to get 9. Then, we add these two results together, giving us 2 + 9 = 11. Therefore, the correct answer is 11.

Explanation

To solve the given expression, we need to follow the order of operations, which states that we should perform any calculations inside parentheses first, then evaluate exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. In this case, there are no parentheses or exponents, so we move on to division. We divide 14 by 7 to get 2, and divide 36 by 4 to get 9. Then, we add these two results together, giving us 2 + 9 = 11. Therefore, the correct answer is 11.

11. Evaluate this expression when x = 64 and y = 4 x/y

60

68

16

256

When we substitute x = 64 and y = 4 into the expression x/y, we get 64/4 = 16. Therefore, the correct answer is 16.

Explanation

When we substitute x = 64 and y = 4 into the expression x/y, we get 64/4 = 16. Therefore, the correct answer is 16.

12. Which variable expression represents the phrase "The product of 17 and a number"

N - 17

N + 17

17n

17/n

The variable expression 17n represents the phrase "The product of 17 and a number." This is because when we multiply 17 by a variable n, we get the product of 17 and that number.

Explanation

The variable expression 17n represents the phrase "The product of 17 and a number." This is because when we multiply 17 by a variable n, we get the product of 17 and that number.

13. How would you write n times n times n times n times n times n

N^4

N^5

N^6

N^7

The correct answer is n^6 because when we multiply n by itself six times, we get n^6.

Explanation

The correct answer is n^6 because when we multiply n by itself six times, we get n^6.

14. Evaluate this expression when m=3

m^4

9

12

27

81

When m=3m^4, we substitute the value of m into the expression. Therefore, the expression becomes 3m^4 = 3(3m^4)^4 = 3(3^4m^16) = 3(81m^16) = 243m^16. Evaluating this expression, we get 243m^16 = 243(3m^4)^16 = 243(81)^16 = 243(6561) = 1594323. Therefore, the correct answer is 81.

Explanation

When m=3m^4, we substitute the value of m into the expression. Therefore, the expression becomes 3m^4 = 3(3m^4)^4 = 3(3^4m^16) = 3(81m^16) = 243m^16. Evaluating this expression, we get 243m^16 = 243(3m^4)^16 = 243(81)^16 = 243(6561) = 1594323. Therefore, the correct answer is 81.

15. Which variable expression represents the phrase "The quotient of a number and 5"

N/5

5n

N = 5

N + 5

The variable expression "n/5" represents the phrase "The quotient of a number and 5." This is because the division symbol "/" indicates the quotient, and "n" represents the number being divided. Therefore, "n/5" means dividing the number "n" by 5.

Explanation

The variable expression "n/5" represents the phrase "The quotient of a number and 5." This is because the division symbol "/" indicates the quotient, and "n" represents the number being divided. Therefore, "n/5" means dividing the number "n" by 5.

16. Find the volume of a square cube with side lengths of 3 cm

6 cm^3

12 cm^3

27cm^3

81cm^3

The volume of a cube is calculated by multiplying the length of one side by itself twice. In this case, the side length is given as 3 cm. So, the volume is calculated as 3 cm * 3 cm * 3 cm = 27 cm^3.

Explanation

The volume of a cube is calculated by multiplying the length of one side by itself twice. In this case, the side length is given as 3 cm. So, the volume is calculated as 3 cm * 3 cm * 3 cm = 27 cm^3.

17. Find the area of a square with side lengths of 12 inches

12 inches^2

144 inches^2

48 inches^2

24 inches^2

The area of a square is calculated by multiplying the length of one side by itself. In this case, the side length of the square is given as 12 inches. Therefore, the area of the square can be found by multiplying 12 inches by 12 inches, which equals 144 square inches.

Explanation

The area of a square is calculated by multiplying the length of one side by itself. In this case, the side length of the square is given as 12 inches. Therefore, the area of the square can be found by multiplying 12 inches by 12 inches, which equals 144 square inches.

18. Use the order of operations to solve: 36 / (19 - 13) 4^2 - (12 + 2)

2

3

4

5

The given expression can be solved using the order of operations, also known as PEMDAS. First, we solve the expression inside the parentheses: (19 - 13) = 6. Then, we divide 36 by 6, which gives us 6. Next, we solve the expression inside the second set of parentheses: (12 + 2) = 14. Finally, we subtract 14 from 4^2, which gives us 0. Therefore, the answer is 6 - 0 = 6.

Explanation

The given expression can be solved using the order of operations, also known as PEMDAS. First, we solve the expression inside the parentheses: (19 - 13) = 6. Then, we divide 36 by 6, which gives us 6. Next, we solve the expression inside the second set of parentheses: (12 + 2) = 14. Finally, we subtract 14 from 4^2, which gives us 0. Therefore, the answer is 6 - 0 = 6.