LITERAL EQUATIONS WORKSHEET - Weebly



w.s. LITERAL EQUATIONS #___Name___________________________per___

 Solve for the indicated variable in the parenthesis.

 1) P = IRT    (T) 2) A = 2(L + W) (W)

 

3) y = 5x - 6 (x) 4) 2x - 3y = 8    (y)

5) x + y = 5 (x) 6) y = mx + b   (b)

             3

7) ax + by = c (y) 8) A = 1/2h(b + c) (b)

 

9) V = LWH (L) 10) A = 4πr2    (r2)

11) V = πr2h (h) 12) 7x - y = 14 (x)

 

13) [pic] (y) 14)  [pic] (I)               

 

15) [pic] (z) 16) [pic] (L)

 

17) [pic] (b) 18) 12x – 4y = 20 (y)

            

 

19)  [pic] (z) 20) [pic] (R)      

                                                                                          

Chapter 2 Review – show your work.

Translate the sentence into an equation.

1. Four times the number x increased by 15 is 83.

|A. |[pic] |C. |[pic] |

|B. |[pic] |D. |[pic] |

2. Eighty-five minus five times x is equal to ten.

|A. |[pic] |C. |[pic] |

|B. |[pic] |D. |[pic] |

3. The sum of one-fifth p and 38 is as much as twice p.

|A. |[pic] |C. |[pic] |

|B. |[pic] |D. |[pic] |

4. Four less than the product of eight and the number g is equal to ten more than g.

|A. |[pic] |C. |[pic] |

|B. |[pic] |D. |[pic] |

5. Nine less than the product of three and the number x is equal to one-half the sum of x and 12.

|A. |[pic] |C. |[pic] |

|B. |[pic] |D. |[pic] |

Translate the equation into a verbal sentence.

6. [pic]

|A. |A number x minus 18 is 12. |C. |A number x divided by 18 is 12 |

|B. |A number x plus 18 is 12 |D. |A number x minus 12 is 18. |

7. [pic]

|A. |Three times a number y minus 8 equals 32. |

|B. |Three times a number y plus 8 equals 32. |

|C. |Three times a number y times 8 equals 32. |

|D. |Three times a number y divided by 8 equals 32. |

8. [pic]

|A. |Two-thirds of d increased by three-fifths is the same as twice d. |

|B. |Two-thirds of d decreased by three-fifths is the same as twice d. |

|C. |Two-thirds of d increased by three-fifths is the same as one-half d. |

|D. |The quotient of two-thirds and d plus three-fifths is the same as twice d. |

9. [pic]

|A. |Five times the difference of x and y is 12 more than the product of 3 and y. |

|B. |Five times the sum of x and y is 12 more than the product of 3 and y. |

|C. |Five times the difference of x and y is 12 more than the quotient of 3 and y. |

|D. |Five times x and y is 12 more than the product of 3 and y. |

Show all of your work!

10) [pic]

11) What percent of 60 is 27?

12) [pic]

13) What is 44% of 85?

14) [pic]

15) 98% of what number is 14?

Find the percent of change. (Be sure to indicate increase of decrease).

13. $10/hr to $6.50/hr

16) 90 mph to 27 mph

17) 240 kg to 300 kg

Solve the following problems – show your work. (Round answerers to the tenths place)

19) Suppose you finished 26 of 40 problems on a worksheet. What percent of the worksheet have you completed and what percent do you still need to do?

20) There are 240 students in the high school. If 45% of the students are attending the concert tonight, how many students would we expect to see there?

21) Jill bought a sweater at a 20% off sale. If the sweater was originally $21.99, what was the sale price of the sweater?

22) In 1998 a box of Fruit Loops cost $2.00. In 2005, a box of Fruit Loops cost $2.98. What is the percent of change?

23) Jack’s bill at The Pizza Palace was $42.25. If he wanted to leave the server a 20% tip, how much would that tip be?

Solve each equation.

24. 6y + 2 – 4y = 2y – 9

25. 6.2c + 1.3 = -2.3c + 35.3

26. [pic]

27. 10 – 2(p + 4) = 8p + 17

28. 7x + 3 = 6(3x – 5)

29. [pic]

30. 2(n + 6) = 5n + 12 – 3n

31. 3m + 18 = 5m

32. [pic]

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HW #13

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