One Step Word Problems
A marine submersible descends more than 40 feet below sea level. As it descends from sea level the change in elevation is 5 feet per second. How many seconds does it take to descend?
x < 8 seconds
Jerri has $17.50 and is going to the movie theater. A movie ticket costs $10 and snacks are 2.50 each. What is maximum number of snacks she can buy?
n is at most 3
What is a set of all solutions of an inequality.
A Solution set.
Is 2 a solution of x < -6?
Yes or No
No
3x-5x+4is less than or equal to -25+33
x is greater than or equal to -2
A weight lifter's maximum amount he can lift is 300 pounds. Write and solve an inequality to find the number of 50 pound weights he can possibly lift.
x is less than or equal to 6
The length of a rectangle is 3 centimeters more than its width. The perimeter is less than 38 centimeters. Write and solve an inequality to find possible values of the width.
w < 8
What is a mathematical sentence that compares expressions.
An inequality.
Is -4 a solution of x> -10?
Yes or No
Yes
3(x-5) is less than or equal to 15
x is less than or equal to 10
Cupcakes at the cupcake factory cost $3.50 each. If you have no more than $42 to spend, how many cupcakes can you buy.
no more than 12 cupcakes
x is less than 12
Mikes car needs major repairs. The mechanic said it will be $144 for parts plus an hour to repair the car. How many hours can Mike afford to pay the mechanic if he can spend no more than $200.
Write an solve an inequality to find how many hours Mike can afford to pay the mechanic to repair his car.
h is less than or equal to 7
What is all of the solutions of an inequality on a number line.
Graph of an inequality.
Is 14 a solution of 13 + x < 20
X is less than or equal to 7
Yes or No
No
-6x -4 is less than or equal to 2 (x-10)
2 is less than or equal to x
Mrs. treble charges her music students $25 per lesson plus a recital fee of $50. How many lesson can the student if she pays no more than $175?
25 is at most 125
Liam is selling cookies at a bake sale. He spent $50 on supplies and will sell the cookies for $2 each. He would like to have a profit of more than $80. Write and solve an inequality that finds the number of cookies that Liam needs to sell.
Liam needs to sell more than 65 cookies.
What is a value that makes the inequality.
Solution of an inequality.
True/False
14k < 10
k is at most 5/7
True
4+3 (2x-3) is greater than or equal to 6x-5
x is greater than or equal to 1
An elevator can hold at most 1,080 kg. Each person on the elevator weighs 90 kg on average. Write and solve an inequality to show the maximum number of people that the elevator can hold.
A ride in a pedi cab cost $2 per block and you want to give a $5 tip. if you have at most $19 to spend, how many blocks can you ride.
At most 7 blocks
67 + 67
134
True/False
1/2 + k > 14
k > 13.5
True
96 is greater than or equal to -4 (3b-8) + 4b
-8 is less than or equal to b