Use of Letters
The algebraic expression for 5 less than s
s - 5
Evaluate 5y when y = 3.
15
A bean plant grown in the shade is 3 cm shorter than a bean plant grown in the sun. The sun-grown bean plant is b cm long. Express the height of the shade-grown bean plant in terms of the sun-grown plant.
b - 3
Simplify:
2(m + m)
4m
Nancy has (4k + 6) meters of ribbon. Kevin has (6k - 2) meters of ribbon. For what value of k will they have the same length of ribbon?
k = 4
The algebraic expression for 5 less than the product of h and 3.
3h - 5
Evaluate 4y / 6 when y = 3
2
The ratio of the length of a rectangular field to the width of the field is 3 : 7. If the width of the field is 28 meters, what is the length of the field?
12
(3/5k)(2/3)
2/5k
Tom’s monthly allowance is k dollars. Jerry’s monthly allowance is 3 times as much as Tom’s monthly allowance. Donny’s monthly allowance is $20 more than Jerry’s monthly allowance. If Tom’s monthly allowance is $18, find their total monthly allowance.
$146
Write an algebraic expression for:
Nina earned p points on a math quiz. Poppy earned three less than twice what Nina earned.
2p - 3
Evaluate s/6 when s = 3/4
1/8
There are 3 times as many footballs as baseballs in a sports store. There are 2.5 times as many baseballs as soccer balls in the same store. If there are 105 footballs in the store, how many soccer balls are there?
14
Use the distributive property and simplify:
8(a + b) - 2(3a + 3b)
2a + 2b
The sum of three consecutive even numbers is 48. What are the smallest of these numbers?
14
A serving of strawberries weighs s grams. A serving of cherries weighs c grams. How much does 3 servings of strawberries and 2 servings of cherries weigh?
3s + 2c
Evaluate 2s/8 when s = 3/4
3/16
Three times n is p. What is one-third of n in terms of p?
p/9
Factor:
24m - 18
6(4m - 3)
Sam is twice as old as Billy. Billy is one more than half as old as Lucy. The sum of Lucy and Sam’s age is 28. How old is Lucy?
13
Santiago collects sports cards. The ratio of his baseball cards to hockey cards is 4 : 3. He has 32b baseball cards. How many basketball cards does he have? Express your answer in terms of b.
24b + n
Evaluate (a/b)(8c) when a = 2/3, b = 1/2, c = 3/4
8
Joan is y years old. Her father is 4 times as old as she is and 28 years older than her brother. Find, in terms of y, the age of Joan’s brother. If y = 12, how old is her brother?
4y - 28
y = 20
How old am I if 400 reduced by 2 times my age is 244?
78
In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
10 students are 10 years old