Solving Multi Step Equations Worksheet

**Page 1**

1.

A man spends half of his salary on household expenses, $\frac{1}{4}$^{th} on rent and $\frac{1}{5}$^{th} on travel expenses. He deposits the rest in a bank. If he deposits $50 monthly in the bank account, then find his monthly salary.

a. | $965 | ||

b. | $1,000 | ||

c. | $1,725 | ||

d. | $1,250 |

Given, the amount spent by the man for household expenses =

The amount spent by the man towards rent =

The amount spent by the man towards travel expenses =

The amount deposited in the bank = Total salary - household expenses - amount spent on rent - travel expenses.

Therefore, the monthly salary of the man is $1,000.

Correct answer : (2)

2.

Solve:

7$x$ + 4 = 25

7$x$ + 4 = 25

a. | 3 | ||

b. | 5 | ||

c. | 4 | ||

d. | 2 |

[Original equation.]

7

[Subtract 4 from each side.]

7

[Simplify.]

[Divide each side by 7.]

[Simplify.]

Correct answer : (1)

3.

Solve:

5$x$ - 3 = 12

5$x$ - 3 = 12

a. | 5 | ||

b. | 4 | ||

c. | 3 | ||

d. | 2 |

[Original equation.]

5

[Add 3 to each side.]

5

[Simplify.]

[Divide each side by 5.]

[Simplify.]

Correct answer : (3)

4.

Solve:

2$a$ + 2 = 4

2$a$ + 2 = 4

a. | 1 | ||

b. | 4 | ||

c. | 6 | ||

d. | 3 |

[Original equation.]

2

[Subtract 2 from each side.]

2

[Simplify.]

[Divide each side by 2.]

[Simplify.]

Correct answer : (1)

5.

Find the value of $a$, if the perimeter of the regular pentagon is 55 cm.

a. | 7 | ||

b. | 8 | ||

c. | 6 | ||

d. | 5 |

The perimeter of the regular pentagon = 5 × length of one of its sides.

[Since, lengths of all the sides of a regular pentagon are equal.]

5 × (

[Substitute the length.]

5(

[Use distributive property.]

5

[Simplify.]

5

[Subtract 25 from each side.]

[Divide each side by 5.]

So, the value of

Correct answer : (3)

6.

Solve:

8$z$ + 3 = - 21

a. | - 5 | ||

b. | 4 | ||

c. | - 3 | ||

d. | 2 |

[Original equation.]

8

[Subtract 3 from each side.]

8

[Simplify.]

[Divide each side by 8.]

[Simplify.]

Correct answer : (3)

7.

Solve:

- $a$ + (21$a$ - 8) = 92

a. | 5 | ||

b. | 80 | ||

c. | 7.69 | ||

d. | 4.2 |

[Original equation.]

20

[Combine like terms.]

20

[Add 8 to both sides.]

20

[Simplify.]

[Divide each side by 20.]

[Simplify.]

Correct answer : (1)

8.

A bookseller sold books worth $2,000 in a week. The cost of each book is $20. How many books did he sell during the week, if he earned a profit of $200?

a. | 102 | ||

b. | 75 | ||

c. | 90 | ||

d. | 115 |

Amount for which books were sold for = profit + cost of

2000 = 200 + 20

[Write an algebraic equation.]

2000 - 200 = 200 + 20

[Subtract 200 from each side.]

1800 = 20

[Combine like terms.]

[Divide each side by 20.]

90 =

[Simplify.]

The bookseller sold 90 books in that week.

Correct answer : (3)

9.

Solve:

$\frac{m}{120}$ - 4 = - 7

a. | - 360 | ||

b. | 360 | ||

c. | - 370 | ||

d. | - 350 |

[Original equation.]

[Add 4 on each side.]

[Add.]

120 ×

[Multiply each side by 120.]

[Simplify.]

Correct answer : (1)

10.

Solve:

21 = $\frac{k}{-5}$ + 17

a. | - 4 | ||

b. | - 20 | ||

c. | 5 | ||

d. | - 1 |

[Original equation.]

21 - 17 =

[Subtract 17 from each side.]

4 =

[Simplify.]

(- 5)4 = - 5 ×

[Multiply each side by - 5.]

- 20 =

[Simplify.]

Correct answer : (2)