Lesson 1 Variable Expressions

1) Which of the following is a verbal expression for 3x - 4.

4 less than the product of 3 and x

4 less than the quotient of 3 and x

The quotient of 3 and x decreased by 4

The product of 3 and x increased by 4

The correct answer is "4 less than the product of 3 and x" because the expression 3x - 4 can be interpreted as taking the product of 3 and x and then subtracting 4 from it.

Explanation

The correct answer is "4 less than the product of 3 and x" because the expression 3x - 4 can be interpreted as taking the product of 3 and x and then subtracting 4 from it.

2) Which one do you like?

4-x

X-4

The expression "four less than a number" implies that we are subtracting 4 from the number. Therefore, the correct expression would be x-4.

Explanation

The expression "four less than a number" implies that we are subtracting 4 from the number. Therefore, the correct expression would be x-4.

3) Which of the following verbal expressions does NOT indicate multiplication

Product

Twice something

Times

More than

Of

The phrase "more than" does not indicate multiplication. It implies a comparison or addition of quantities, rather than the multiplication of two or more numbers.

Explanation

The phrase "more than" does not indicate multiplication. It implies a comparison or addition of quantities, rather than the multiplication of two or more numbers.

4) Evaluate 3x + 12 - 24/x when x is 8.

12

36

1.5

33

To evaluate the expression 3x + 12 - 24/x when x is 8, we substitute the value of x into the expression. Plugging in x = 8, we get 3(8) + 12 - 24/8. Simplifying further, we have 24 + 12 - 3, which equals 33. Therefore, the correct answer is 33.

Explanation

To evaluate the expression 3x + 12 - 24/x when x is 8, we substitute the value of x into the expression. Plugging in x = 8, we get 3(8) + 12 - 24/8. Simplifying further, we have 24 + 12 - 3, which equals 33. Therefore, the correct answer is 33.

5) The expression "twice the product of 3 and x" is the same as which of the following?

2+(3x)

(2+3)x

6x

2(3+x)

The expression "twice the product of 3 and x" means multiplying 3 and x together, and then multiplying the result by 2. This can be written as 2 * (3 * x), which simplifies to 6x.

Explanation

The expression "twice the product of 3 and x" means multiplying 3 and x together, and then multiplying the result by 2. This can be written as 2 * (3 * x), which simplifies to 6x.