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Algebra Word Problems Worksheet
Practice Problems
Cost of 1 apple = $0.60
Cost ofx x x
Total cost = Cost of 7 oranges + Cost ofx
c x
Therefore, the equation that represents the total cost isc x
Cost of one bat =x
Cost of one ball =y
Cost of 5 balls = 5 ×y y
Cost of one bat + Cost of 5 balls = Total cost
x y
Therefore, the equation representing the situation isx y
Age of Smith's son = 15
Sum of ages of Mr. Smith, his wife, and their son = 104
n
Therefore, the equation that can be used to determine Mr. Smith's age isn
Shipping charges for entire order = $13
Total cost = cost of each jeans × total number of jeans + shipping charges
c n
Therefore, the equation that will help to determine the cost of his order isc n
n
The money earned by sellingn n n n
So, the equation for the total money she had finally ism n
y y y
[Original equation.]
4y y y
[Rearrange the terms.]
y y
[Combine like terms.]
y y y y
[Subtracty
4 =y
[Combine like terms.]
4 + 4 =y
[Add 4 to each side.]
8 =y
[Simplify.]
So, the value ofy
y y
[Original equation.]
4y y
[Rearrange the terms.]
2y
[Combine like terms.]
2y
[Subtract 3 from each side.]
2y
[Simplify.]
2y 2 -6 2
[Divide by 2 on each side.]
y
[Simplify.]
[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 ofy
[No tiles on the right side represent 0.]
[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 ofy
y
The linear equation for the model isy
[Four -1 tiles represent -4 and two 1-tiles represent 2.]
y
[Add 4 on each side to isolate the variabley
y
[Add 4 and 2 to get 6.]
So, the value of the variabley
Algebra Word Problems Worksheet
- Page 1
1.
Smith bought 7 oranges for $3 and apples at $0.60 each. Which equation represents the total cost()?
| a. | = 2 - 0.5 | ||
| b. | = 0.6 + 3 | ||
| c. | + 3 = 0.6 | ||
 | d. | = 3 + 0.6 |
Solution:
Cost of 7 oranges = $3Cost 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 , are the costs of a bat and a ball in dollars respectively.
| a. | - 5 = 40 | ||
| b. | 40 + 5 = | ||
| c. | + 5 = 40 | |
| d. | 40 + = 5 |
Solution:
Cost of one bat and 5 balls = $40Cost 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 ()?
| a. | 42 + 15 + 104 = | ||
| b. | + 42 + 15 = 104 | |
| c. | 42 + 104 = + 15 | ||
| d. | 42 + 15 + 104 + = 0 |
Solution:
Age of Mrs. Smith = 42Age 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 jeans, then which equation will help to determine the cost of his order ()?
| a. | = 24 + 13 | ||
| b. | = 24 +13 | |
| c. | = (24 - 13) | ||
| d. | = (24 + 13) |
Solution:
Cost of jeans = $24Shipping 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 cards at $5 each and earned some money. Write an equation for the money() she had finally.
| a. | = 49 + | ||
| b. | = 5 + 45 | |
| c. | = 45 + 5 | ||
| d. | = 5 - 45 |
Solution:
The money she had finally = money earned by sellingThe 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 .
| a. | 8 | |
| b. | 6 | ||
| c. | 2 | ||
| d. | 4 |
Solution:
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 .
| a. | -3 | |
| b. | 5 | ||
| c. | 4 | ||
| d. | -4 |
Solution:
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 in the equation + 2 = 2, by using algebra tiles.
| a. | 6 | ||
| b. | 1 | ||
| c. | 4 |
Solution:
[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 in the equation - 3 = - 7 using algebra tiles.
| a. | -4 | |
| b. | -5 | ||
| c. | -6 | ||
| d. | -9 |
Solution:
[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 from the algebra tiles.
| a. | 6 | |
| b. | 8 | ||
| c. | 4 | ||
| d. | 2 |
Solution:
In the model, the left hand side contains one variableThe 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)