Julio and Ashley went to the drive-in theater. They paid an entry fee for the car and individual entry fees for themselves. Their total cost can be modeled by the expression 2.5x+10. Which of the following answer choices accurately interprets a part of the algebraic expression?

Question

Each individual entry fee was $10.00.

The entry fee for the car was $10.00.

The entry fee for the car was $12.50.

The entry fee for the car was $2.50.

Answer 1

The entry fee for the car was $10.00.

Answer 2

Given the equation 8x−3y=2x+9y, which of the following statements is correct?

There are four variables.

8, −3, 2, and 9 are constants.

8 is the only factor of 8x.

8, −3, 2, and 9 are coefficients.

Answer 3

8, −3, 2, and 9 are coefficients.

Answer 4

Given the equation 8x − 3y = 2x + 9y, which of the following statements is correct?

There are four variables.

8, −3, 2, and 9 are constants.

8 is the only factor of 8x.

8, −3, 2, and 9 are coefficients.

Answer 5

8, −3, 2, and 9 are coefficients.

Answer 6

An equation can be broken down into expressions, terms, variables, constants, and coefficients. In the equation 0.4−7x=3, what is/are the constant(s) in the equation?

0.4 and 3

3

0.4

−7

Answer 7

The constant in the equation is 3.

Answer 8

Consider the expression [3(4^2+32÷4−5)]. Which quotient must be found to simplify the expression?

96÷4

144÷4

32÷4

48÷4

Answer 9

To simplify the expression [3(4^2+32÷4−5)], we need to find the quotient 32÷4.

Answer 10

(3(x+4))/(2)

Answer 11

The expression (3(x+4))/(2) can be simplified by distributing the 3 into the parentheses:

(3 * x + 3 * 4)/(2)

Simplifying further:

(3x + 12)/2

This can be simplified as:

(3x)/2 + 12/2

Which results in:

(3x)/2 + 6

Answer 12

Use the grouping symbols to interpret the following equation: x/8 = (3(x+4))/(2). Which expression in the equation represents a product?

(3(x+4))/(2)

x/8

3(x+4)

2

Answer 13

The expression in the equation that represents a product is 3(x+4).