Word Problems
More Word Problems
Literal Equations
Solving Equations
Domains
100
The larger of two numbers exceeds the smaller by 5. Write let statements for this situation.
Let x = smaller
Let x + 5 = larger
100
Mindy's age exceeds her sister by 8. Write the let statements for this situation.
Let x = Sister's age
Let x + 8 = Mindy's age
100
Solve for x:
3a2x - 12a2x + 6a6 = 4a2x - 20a6
x = 2a4
100
Solve for x:
x = -3
100
The function f(x) = 3x - 600 represents Annie's profits selling cookies if f(x) represents her profits in dollars and x represents the number of cookies. Which best represents the domain of this function?
a. Integers
b. Reals
c. Rationals
d. Wholes
d. Wholes
200
Find three consecutive odd integers such that triple the first increased by four times the third exceeds the second by 56.
The numbers are 7, 9, and 11.
200
Write the let statements for the situation:
Separate 80 into two parts.
Let x = 1st part
Let 80-x = 2nd part
200
Solve for y:
y = xm - p
200
Solve for y: 
y = -27
200
Donovan is buying apples. The function p(x) = 1.24x represents the cost of buying x pounds of apples. Which of the following best represents the domain of this function?
a. Rationals
b. Non-negative rationals
c. Non-negative integers
d. Reals
b. Non-negative rationals
300
The length of a rectangle is triple its width. If the perimeter of the rectangle is 56 feet. Find the length and width.
The length is 21 feet and the width is 7 feet.
300
The first of two numbers is three less than twice the second. Twice the sum of the first and the second is 18. Find the numbers.
The first number is 5 and the second number is 4.
300
Solve for y:
300
Solve for x:
-2x - 5(x - 4)= -7x + 4
No solution
300
A construction company uses the function f(p) where p is the number of people working on a project, to model the amount of money it spends to complete a project. A reasonable domain for this function would be
a) positive integers
b) positive real numbers
c) Integers
d) Real numbers
a) positive integers
400
The ratio of two positive numbers is 7:4. If the larger number is doubled it is ten less than four times the smaller. Find the numbers.
The numbers are 35 and 20.
400
Annie has $2.40 made up of some number of quarters, pennies and dimes. The number of pennies is two more than the number of dimes. The number of quarters is four less than the number of pennies. How many of each coin does she have?
Annie has 6 quarters, 8 dimes, and 10 pennies.
400
Solve for x:
6m5 + m2x= 10m5 - 3m2x
x = m3
400
-(x - 4) + 6x - 8 = 3x + 2x - 4
infinitely many solutions
400
A dolphin jumps out of the water and then back into the water. His jump could be graphed on a set of axes where x represents times and y represents distance above or below sea level. The domain of this graph is best represented using the set of
a) integers
b) positive integers
c) real numbers
d) positive real numbers
d) positive real numbers
500
Johnny has 40 coins, made up of dimes and quarters. If he has $6.55, how many of each coin does he have?
23 dimes and 17 quarters
500
The third of three numbers is two more than triple the second. The first number is twice the second. Twice the third is equal to sixteen more than the sum of the first and second. Find the numbers.
The first number is 8 , the second number is 4, and the third number is 14.
500
Solve for x:
x = c - a
500
Solve for x:
x = 13
500
At an ice cream shop spends $400 on materials to sell 1000 ice cream cones at $0.87 each. The profit, p(c), is modeled by the function p(c) = 0.87c, where c is the number of ice cream cones sold. An appropriate domain for this function is
a) integers greater than or equal to zero
b) Positive rational numbers
c) Integers between 0 and 1000, inclusive
d) Whole numbers less than 1000
c) Integers between 0 and 1000, inclusive