Algebra Word Problems

**Page 3**

21.

Paula has 21 marbles in her marble collection. Her friend gave her 3 marbles. How many marbles does Paula have now?

a. | 21 | ||

b. | 26 | ||

c. | 24 | ||

d. | 20 |

Number of marbles in Paula Ã¢â‚¬â„¢s collection now = number of marbles she has + number of marbles her friend gave her.

[Substitute the number of marbles.]

[Add.]

So, Paula has to 24 marbles in her collection now.

Correct answer : (3)

22.

There were 70 people in a movie theatre. How many children were there if 30 of them were adults?

a. | 45 | ||

b. | 42 | ||

c. | 40 | ||

d. | 38 |

Number of children = total number of people - number of adults.

[Substitute the values.]

[Subtract.]

So, 40 children were there in the theatre.

Correct answer : (3)

23.

Sheila collected 14 seashells and Juan collected 8 seashells on an island. How many more seashells did Sheila collect than Juan?

a. | 9 | ||

b. | 8 | ||

c. | 6 | ||

d. | 5 |

Number of more seashells Sheila collected = number of seashells Sheila collected - number of seashells Juan collected.

[Substitute the values.]

[Subtract.]

So, Sheila collected 6 seashells more than Juan.

Correct answer : (3)

24.

A greeting card store sold 50 birthday cards and 25 anniversary cards last month. Find the total number of cards that the store sold last week.

a. | 65 | ||

b. | 85 | ||

c. | 75 | ||

d. | 55 |

Total number of cards sold = number of birthday cards sold + number of anniversary cards sold.

[Substitute the values.]

[Add.]

So, the store sold 75 cards last week.

Correct answer : (3)

25.

Jerald received $ 18 from his aunt for his birthday. He spent $ 2 on purchasing a toy car. Choose which operation you would use to find how much he is left with. Then find the answer.

a. | Addition, $ 15 | ||

b. | Subtraction, $ 16 | ||

c. | Subtraction, $ 15 | ||

d. | Addition, $ 16 |

Money he is left with = money he received from his aunt - money he spent on purchasing the toy car.

[Substitute the values.]

[Subtract.]

So, subtraction operation helps us to find the amount left with Jerald . Jerald is left with $ 16.

Correct answer : (2)

26.

Bonnie scored 14 points. David scored 8 more points than Bonnie. Choose which operation you would use to find how many points David scored. Then find the answer.

a. | Addition, 22 | ||

b. | Subtraction, 22 | ||

c. | Subtraction, 8 | ||

d. | Addition, 8 |

Number of points David scored = number of point Bonnie scored + number of more point David scored than Bonnie.

[Substitute the values.]

[Add.]

So, we will use addition operation to find the points David scored. David scored 22 points.

Correct answer : (1)

27.

A mother wants to distribute candies to her two sons according to the ratio of their ages. The younger son is 6 years old and the older one is 8 years old. If the younger son receives 12 candies, then how many candies will the elder son receive?

a. | 15 | ||

b. | 16 | ||

c. | 17 | ||

d. | 14 |

Correct answer : (2)

28.

Solve the proportion $\frac{3}{x}$ = $\frac{4}{(x-2)}$ , using the cross product property.

a. | - 6 | ||

b. | 7 | ||

c. | - 7 | ||

d. | 6 |

Correct answer : (1)

29.

Solve the proportion $\frac{2}{x}$ = $\frac{x+1}{3}$ , using the cross product property.

a. | - 3, 2 | ||

b. | 6, - 4 | ||

c. | - 6, 4 | ||

d. | 3, - 2 |

Correct answer : (1)

30.

Joe bought 3 pizzas for $2.5. How much will he have to pay to buy 6 pizzas. Use proportions to find the amount.

a. | $5 | ||

b. | $4 | ||

c. | $6 | ||

d. | $15 |

Correct answer : (1)