Algebra Word Problems

**Page 5**

41.

A number consists of two digits whose sum is 7. When 9 is added to the number, the digits are reversed. What is the number?

a. | 34 | ||

b. | 43 | ||

c. | 52 | ||

d. | 61 |

Correct answer : (1)

42.

Find the number which begins the sequence.

a. | 45 | ||

b. | 35 | ||

c. | 50 | ||

d. | 25 |

Correct answer : (4)

43.

When a number is multiplied by 4 and then added to 6, the result is 26. What is this number?

a. | 6 | ||

b. | 9 | ||

c. | 5 | ||

d. | 7 |

Correct answer : (3)

44.

A mother wants to distribute candies to her two sons according to the ratio of their ages. The younger son is 7 years old and the older one is 11 years old. If the younger son receives 21 candies, then how many candies will the elder son receive?

a. | 33 | ||

b. | 34 | ||

c. | 31 | ||

d. | 32 |

Correct answer : (1)

45.

Victor has read 72 pages of a 264-page book. He reads 24 pages each day. How many days will he take to finish the book?

a. | 10 | ||

b. | 7 | ||

c. | 8 | ||

d. | 9 |

72 + 24 ×

[Write an equation.]

72 - 72 + 24

[Subtract 72 from both sides.]

24

[Combine like terms.]

[Divide both sides by 24.]

[Simplify.]

So, Victor takes 8 days to finish reading the whole book.

Correct answer : (3)

46.

Two packets of meat together weigh 4.65 kg . If one packet weighs 3.56 kg , then how much does the other packet weigh?

a. | 1.44 kg | ||

b. | 4.30 kg | ||

c. | 0.74 kg | ||

d. | 1.09 kg |

The weight of the other packet = 4.65 - 3.56

[Substitute the values.]

The weight of the other packet = 1.09 kg

[Subtract.]

Correct answer : (4)

47.

The total toll for 1 car and 3 bicycles to cross a bridge is $3.80 . The toll for one car is $1.40 more than that for a bicycle. Find the toll for a bicycle to cross the bridge.

a. | $0.40 | ||

b. | $0.80 | ||

c. | $0.60 | ||

d. | $2.00 |

The toll charge for a car =

Toll charge for 1 car + 3 × Toll charge for 1 bicycle = $3.80

The toll charge for 1 car and 3 bicycles = (

[Substitute the values.]

4

[Combine like terms.]

4

[Subtract 1.40 from both sides.]

4

[Simplify.]

[Divide.]

The toll charge of a bicycle to cross the bridge is $0.60.

Correct answer : (3)

48.

A baby girl weighed 3.4 kg at birth. She gained 0.15 kg per week. How old was she when she weighed 5.2 kg?

a. | 12 weeks | ||

b. | 13 weeks | ||

c. | 17 weeks | ||

d. | 11 weeks |

3.4 +

[Original equation.]

3.4 - 3.4 +

[Subtract 3.4 from both sides.]

[Simplify.]

[Divide both sides by 0.15.]

[Simplify.]

The baby was 12 weeks old when she weighed 5.2 kg.

Correct answer : (1)

49.

A pencil and an eraser together cost $1.40 . The pencil costs $1 more than the eraser. How much does the pencil cost?

a. | $1 | ||

b. | $1.40 | ||

c. | $1.20 | ||

d. | None of the above |

The cost of pencil = $(

Cost of pencil + Cost of eraser = $1.40

(

[Write an equation.]

2

[Add.]

2

[Subtract 1 from both sides.]

2

[Subtract.]

[Divide both sides by 2.]

The cost of a pencil = 1 + 0.20 = $1.20

Correct answer : (3)

50.

$\frac{4}{5}$ of the students from Ursula's class went on a picnic. How many students did not go to the picnic?

a. | $n$ | ||

b. | $\frac{\mathrm{n}}{6}$ | ||

c. | $\frac{\mathrm{n}}{4}$ | ||

d. | $\frac{\mathrm{n}}{5}$ |

The part of the class who went on a picnic =

[Multiply.]

The number of students who stayed in the school =

=

[Write

=

[Multiply and divide the numerator and denominator of the first fraction by 5.]

=

Correct answer : (4)