Math: Quiz On Linear Equation Word Problem!

1. The state fair charges $6 admission and $2 for each ride. Which expression could represent the total cost after admission is paid for one person and he/she rides "r" rides?

6 + 2r

2 + 6r

6 + 3r

The given expression, 6 + 2r, represents the total cost after admission is paid for one person and he/she rides "r" rides. The expression starts with the initial admission cost of $6 and then adds $2 for each ride the person takes. This accurately reflects the scenario described in the question.

Explanation

The given expression, 6 + 2r, represents the total cost after admission is paid for one person and he/she rides "r" rides. The expression starts with the initial admission cost of $6 and then adds $2 for each ride the person takes. This accurately reflects the scenario described in the question.

2. Which of the following verbal expressions does NOT translate into n + 3 ?

Add 3 to a number

A number plus 3

A number decreased by 3

3 more than a number

The expression "a number decreased by 3" translates into n - 3, not n + 3.

Explanation

The expression "a number decreased by 3" translates into n - 3, not n + 3.

3. Write "the product of 16 and n" as an algebraic expression.

The expression "16n" represents the product of 16 and n. This means that you would multiply 16 by the value of n to get the result.

Explanation

The expression "16n" represents the product of 16 and n. This means that you would multiply 16 by the value of n to get the result.

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4. Write an algebraic expression for " 18 less than a number x "

The algebraic expression for "18 less than a number x" is x-18. This is because when we subtract 18 from x, we get the result of x being decreased by 18. So, x-18 represents the number x with 18 subtracted from it.

Explanation

The algebraic expression for "18 less than a number x" is x-18. This is because when we subtract 18 from x, we get the result of x being decreased by 18. So, x-18 represents the number x with 18 subtracted from it.

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5. Which of the following equations could be used to find the area of a rectangle with side lengths of 5cm and 7cm?

A = 5 + 5 + 7 + 7

A = 1/2 ( 5 )( 7 )

A = 5 + 7

A = (5)(7)

The equation A = (5)(7) can be used to find the area of a rectangle with side lengths of 5cm and 7cm. This is because the formula for the area of a rectangle is length multiplied by width, and in this case, the length is 5cm and the width is 7cm. Therefore, multiplying 5 by 7 gives us the area of the rectangle.

Explanation

The equation A = (5)(7) can be used to find the area of a rectangle with side lengths of 5cm and 7cm. This is because the formula for the area of a rectangle is length multiplied by width, and in this case, the length is 5cm and the width is 7cm. Therefore, multiplying 5 by 7 gives us the area of the rectangle.

6. Which phrase represents the expression 7x + 2 ?

Seven times two plus a number

Two times a number plus seven

Two less than a number multiplied multiplied by seven

Two plus a number multiplied by seven

The expression 7x + 2 represents "two plus a number multiplied by seven" because the variable x is being multiplied by seven and then two is added to the result.

Explanation

The expression 7x + 2 represents "two plus a number multiplied by seven" because the variable x is being multiplied by seven and then two is added to the result.

7. Jed reads p pages each day in a 200 page book. What expression could be used to find the number days it would take to read the book?

200/p

200p

200 + p

200 - p

To find the number of days it would take to read the book, we need to divide the total number of pages (200) by the number of pages Jed reads each day (p). Therefore, the expression that could be used is 200/p.

Explanation

To find the number of days it would take to read the book, we need to divide the total number of pages (200) by the number of pages Jed reads each day (p). Therefore, the expression that could be used is 200/p.

8. If Betsy has n quarters. What expression could be used to find the total value of her coins in dollars?

25n

0.25 +n

25 + n

0.25n

To find the total value of Betsy's coins in dollars, we need to multiply the number of quarters she has (n) by the value of each quarter in dollars (0.25). Therefore, the expression 0.25n represents the total value of her coins in dollars.

Explanation

To find the total value of Betsy's coins in dollars, we need to multiply the number of quarters she has (n) by the value of each quarter in dollars (0.25). Therefore, the expression 0.25n represents the total value of her coins in dollars.

9. Which of the following equations represents the perimeter of a rectangle with sides L and W?

P = (L)(W)

P = L + W

P = 2L + 2W

P = (2L)(2W)

The equation P = 2L + 2W represents the perimeter of a rectangle with sides L and W. This equation calculates the sum of the lengths of all four sides of the rectangle by adding twice the length (2L) and twice the width (2W).

Explanation

The equation P = 2L + 2W represents the perimeter of a rectangle with sides L and W. This equation calculates the sum of the lengths of all four sides of the rectangle by adding twice the length (2L) and twice the width (2W).

10. Which verbal expression does NOT represent 9 - x?

X less than nine

X decreased by nine

Subtract x from nine

The difference of nine and x

"x decreased by nine" represents the expression x - 9, not 9 - x. In this expression, x is being decreased by nine, which means that nine is being subtracted from x. Therefore, the correct answer is "x decreased by nine" as it does not represent the expression 9 - x.

Explanation

"x decreased by nine" represents the expression x - 9, not 9 - x. In this expression, x is being decreased by nine, which means that nine is being subtracted from x. Therefore, the correct answer is "x decreased by nine" as it does not represent the expression 9 - x.