Equation From a Situation - ISEE Lower Level Mathematics Achievement

1. Which equation represents: A $10 fee plus $2 per ticket $t$ costs $C$ dollars?

   $C = 10 + 2t$. This equation calculates total cost as a fixed fee plus variable cost per ticket.

2. What equation represents: Three times a number $x$ is $24$?

   $3x = 24$. This equation expresses three times x equaling 24.

3. What equation represents: The sum of a number $x$ and $7$ is $19$?

   $x + 7 = 19$. This equation directly translates the sum of x and 7 equaling 19.

4. Which equation represents: The temperature $F$ in Fahrenheit is $32$ more than $\frac{9}{5}$ times $C$?

   $F = \frac{9}{5}C + 32$. This equation converts Celsius to Fahrenheit by scaling and adding the offset.

5. What equation represents: The sum of $x$ and $y$ is $30$?

   $x + y = 30$. This equation expresses the sum of x and y as 30.

6. What equation represents: The quotient of a number $x$ and $4$ is $6$?

   $\frac{x}{4} = 6$. This equation represents dividing x by 4 to get 6.

7. Which equation represents: The sum of three consecutive integers is $72$ (let first be $n$)?

   $n + (n + 1) + (n + 2) = 72$. This equation sums three consecutive integers starting from n to equal 72.

8. Which equation represents: You start with $50 and spend $\$x$; money left is $L$?

   $L = 50 - x$. This equation subtracts the amount spent from the initial amount to find remaining money.

9. What equation represents: $15$ more than a number $x$ is $40$?

   $x + 15 = 40$. This equation shows adding 15 to x yields 40.

10. What equation represents: $y$ is $5$ more than $x$?

    $y = x + 5$. This equation defines y as x increased by 5.

11. What equation represents: $y$ is $4$ times $x$?

    $y = 4x$. This equation sets y equal to 4 multiplied by x.

12. What equation represents: $9$ less than twice a number $x$ is $17$?

    $2x - 9 = 17$. This equation models twice x minus 9 equaling 17.

13. Which equation represents: Area of a rectangle with length $x + 2$ and width $5$ is $35$?

    $5(x + 2) = 35$. This equation multiplies width by length to equal the given area.

14. What equation represents: Half of a number $x$ is $9$?

    $\frac{1}{2}x = 9$. This equation captures half of x being 9.

15. What equation represents: A number $x$ decreased by $5$ equals $12$?

    $x - 5 = 12$. This equation represents subtracting 5 from x to equal 12.

16. Which equation represents: A car travels $60$ mi/h for $t$ hours; distance is $d$?

    $d = 60t$. This equation uses the distance formula, multiplying speed by time.

17. What equation represents: Twice the sum of $x$ and $4$ is $18$?

    $2(x + 4) = 18$. This equation represents twice the quantity of x plus 4 equaling 18.

18. Which equation represents: Average of $x$ and $10$ is $15$?

    $\frac{x + 10}{2} = 15$. This equation represents the average as the sum divided by 2 equaling 15.

19. Which equation represents: A tank has $30$ L and drains $2$ L/min for $m$ min; volume is $V$?

    $V = 30 - 2m$. This equation subtracts the drained volume from initial volume based on time.

20. What equation represents: $y$ is $3$ less than $x$?

    $y = x - 3$. This equation defines y as x decreased by 3.

21. Which equation represents: Perimeter of a rectangle with length $L$ and width $W$ is $42$?

    $2L + 2W = 42$. This equation applies the perimeter formula for a rectangle, summing twice the length and twice the width.

22. What equation represents: $9$ less than a number $x$ is $20$?

    $x - 9 = 20$. This equation indicates subtracting 9 from x equals 20.

23. Which equation represents: You earn $12 per hour for $h$ hours; total pay is $P$?

    $P = 12h$. This equation multiplies hourly rate by hours worked to determine total pay.

24. What equation represents: The product of $8$ and a number $x$ is $56$?

    $8x = 56$. This equation denotes the product of 8 and x as 56.

25. What equation represents: $y$ is $\frac{1}{3}$ of $x$?

    $y = \frac{1}{3}x$. This equation sets y as one-third of x.

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