Algebra Word Problems Worksheet

**Page 1**

1.

Smith bought 7 oranges for $3 and $x$ apples at $0.60 each. Which equation represents the total cost($c$)?

a. | $c$ = 2 - 0.5$y$ | ||

b. | $c$ = 0.6 + 3$x$ | ||

c. | $c$ + 3 = 0.6$x$ | ||

d. | $c$ = 3 + 0.6$x$ |

Cost of 1 apple = $0.60

Cost of

Total cost = Cost of 7 oranges + Cost of

Therefore, the equation that represents the total cost is

Correct answer : (4)

2.

Justin buys a bat and 5 balls for a total cost of $40. Identify the equation representing this situation if $x$, $y$ are the costs of a bat and a ball in dollars respectively.

a. | $x$ - 5$y$ = 40 | ||

b. | 40 + 5$y$ = $x$ | ||

c. | $x$ + 5$y$ = 40 | ||

d. | 40 + $x$ = 5$y$ |

Cost of one bat =

Cost of one ball =

Cost of 5 balls = 5 ×

Cost of one bat + Cost of 5 balls = Total cost

Therefore, the equation representing the situation is

Correct answer : (3)

3.

Mr. Smith's wife is 42 years old. His son is 15 years old. The ages of Mr. Smith, his wife, and their son add up to 104. Which equation could be used to determine Mr. Smith's age ($n$)?

a. | 42 + 15 + 104 = $n$ | ||

b. | $n$ + 42 + 15 = 104 | ||

c. | 42 + 104 = $n$ + 15 | ||

d. | 42 + 15 + 104 + $n$ = 0 |

Age of Smith's son = 15

Sum of ages of Mr. Smith, his wife, and their son = 104

Therefore, the equation that can be used to determine Mr. Smith's age is

Correct answer : (2)

4.

A company offers jeans for $24 each and the shipping charges for entire order is $13. If John wants to buy $n$ jeans, then which equation will help to determine the cost of his order ($c$)?

a. | $c$ = 24 + 13$n$ | ||

b. | $c$ = 24$n$ +13 | ||

c. | $c$ = (24 - 13)$n$ | ||

d. | $c$ = (24 + 13) $n$ |

Shipping charges for entire order = $13

Total cost = cost of each jeans × total number of jeans + shipping charges

Therefore, the equation that will help to determine the cost of his order is

Correct answer : (2)

5.

Julia had $45 with her. She sold $n$ cards at $5 each and earned some money. Write an equation for the money($m$) she had finally.

a. | $m$ = 49 + $n$ | ||

b. | $m$ = 5$n$ + 45 | ||

c. | $m$ = 45$n$ + 5 | ||

d. | $m$ = 5$n$ - 45 |

The money earned by selling

So, the equation for the total money she had finally is

Correct answer : (2)

6.

Identify an equation for the algebra tiles and solve the equation for the value of $y$.

a. | 8 | ||

b. | 6 | ||

c. | 2 | ||

d. | 4 |

[Original equation.]

4

[Rearrange the terms.]

[Combine like terms.]

[Subtract

4 =

[Combine like terms.]

4 + 4 =

[Add 4 to each side.]

8 =

[Simplify.]

So, the value of

Correct answer : (1)

7.

Identify an equation for the algebra tiles and solve the equation for the value of $y$.

a. | -3 | ||

b. | 5 | ||

c. | 4 | ||

d. | -4 |

[Original equation.]

4

[Rearrange the terms.]

2

[Combine like terms.]

2

[Subtract 3 from each side.]

2

[Simplify.]

[Divide by 2 on each side.]

[Simplify.]

Correct answer : (1)

8.

Find the value of $y$ in the equation $y$ + 2 = 2, by using algebra tiles.

a. | 6 | ||

b. | 1 | ||

c. | 4 |

[Model the equation in the form of algebra tiles.]

[Add two negative tiles on both sides.]

[Remove the zero pairs on both sides.]

The value of

[No tiles on the right side represent 0.]

Correct answer : (4)

9.

Find the value of $y$ in the equation $y$ - 3 = - 7 using algebra tiles.

a. | -4 | ||

b. | -5 | ||

c. | -6 | ||

d. | -9 |

[Model the equation in the form of algebra tiles.]

[Isolate the common constant tiles from both sides.]

[Remove isolated tiles from both sides.]

The value of

Correct answer : (1)

10.

Find the value of $y$ from the algebra tiles.

a. | 6 | ||

b. | 8 | ||

c. | 4 | ||

d. | 2 |

The linear equation for the model is

[Four -1 tiles represent -4 and two 1-tiles represent 2.]

[Add 4 on each side to isolate the variable

[Add 4 and 2 to get 6.]

So, the value of the variable

Correct answer : (1)