Equations Word Problems
Graphing and Writing Inequalities
Inequalities
Solutions
Inequalities Word Problems
100
Nancy bought a latte for $4 and 8 pastries. She spent a total of $22. What was the unit price of the pastries?
The unit price was $2.25.
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
Solve the inequality. 7x+4<3
x<-1/7
100
What is the smallest integer solution for
2y+7>11
3
100
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. How many weeks can Keith withdraw money from his account?
He can withdraw money for up to 12 weeks.
200
Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
Her weekly allowance is $16.
200
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
200
Solve the inequality.
3m-13≥14
m≥9
200
What is the smallest integer solution for
11-4z<-1
4
200
Amara wants to take dance lessons at a studiio over the summer. It costs a flat fee of $50 to use the facilities, then an additional $20 for each lesson. If Amara has $210 saved how many lessons can she take?
Amara can take up to 8 lessons and not go over her budget.
300
A certain teacher is on a diet. She started at 148 pounds and has been losing 1.5 pounds per week. If her current weight is 137.5 pounds, how many weeks has she been dieting for?
She has been dieting for 7 weeks.
300
Which direction do we shade for -3 >x ?
Left <------------
300
Solve the inequality -3y+9>36
y<-9
300
What is the largest integer solution for
3+(b/3)<7
11
300
Susie earnes $5.50 for each hour she dogsits. If she wants to earn at least $80, how many full hours must she dogsit?
She must dogsit for at least 15 hours.
400
Dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, Jake. While playing, Jake lost 2 marbles and has only 7 marbles at present. Find how many marbles did Dalia buy in all.
Dalia bought 45 marbles.
400
Is the following inequality graphed correctly?
x < 6
No, the graph shows x ≥ -6
400
Solve the inequality.
(d/-11) +22 ≤28
d≥-66
400
What is the largest integer solution for
-3x -7≥-3
-2
400
An arcade charges $4 for admission and $0.75 to play each game. What is the maximum number of games can you play if you have $9?
I can play a maximum of 6 games.
500
A board that is 131 inches long is cut into two pieces. One piece is fourteen inches longer than twice the other. How long is each piece?
To get the points, you need the equation, solution and sentence.
x+2x+14=131
x=39
The boards are 39 and 92 inches long.
500
What type of symbols are these?
< , ≤ , > , ≥?
Inequalities
500
Solve the inequality.
-4(-3x+14)<-14
x<3.5
500
What is the smallest integer solution for
z/-4 + 3<15?
z>-47
500
You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 minutes to set up the game and 7 minutes to play each level. How many levels you can play for free?
I can play at most 7 full levels