Graphing and Writing Inequalities
True/false statements
One-Step Inequalities
Two-Step Inequalities
Word Problems
100
What are these symbols called:
< , ≤ , > , ≥?
(The answers are not less then, greater then, etc.)
What is
Inequalities
100
-2 is less than -10
False
100
Solve the Inequality
x + 4 < 10
What is:
x < 6
100
Solving Inequalities
Solve for x.
4x+3<7
What is:
x <1
100
Write and solve an inequality for the following problem. Remember to define your variables.
Carla had some apples. After eating 2 apples, she still had more than 8 apples left. What is the smallest number of apples Carla could have started with?
x-2>8
x>10
Carla had at least 10 apples to start with.
200
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
200
We use an open circle to represent the inequalities < and > ?
True
200
Solve the Equation:
f - 9 < -58
What is:
f < -49
200
Solving Inequalities
Solve for x.
-b-2>8
What is:
b<-10
200
Tom had some candies. After giving away 5 candies to his friend, he had at least 12 candies remaining. What is the minimum number of candies Tom originally had?
x-5\ge12
x\ge17
Tom must have originally had at least 17 candies
300
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
300
If graphing x < 5, we would put an open circle on 5 and shade to the right.
False.
300
Solving Inequalities
Solve for x.
2x > 8
What is:
x > 4
300
\frac{m}{3}-3 \le -6
m\le -9
300
Write and solve an inequality for the following problem. Remember to define your variables.
Mia has some stickers. If she quadruples the number of stickers she has and then subtracts 3, she ends up with more than 17 stickers. What is the smallest number of stickers Mia could have?
4x-3>17
x>5
Mia must have at least 6 stickers
400
Which direction do we shade for x < -3 ?
What is
Left
400
Is the statement true
2x > -6
x = -3
False
400
Solve the Inequality
-4x < 12
NOTE: The answer is NOT an integer.
x<-3
400
Solve for v.
-4(3+v)>56
v < -10
400
Write and solve an inequality for the following problem. Remember to define your variables.
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200attheend of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?
x\ge12
No more than 12 weeks
500
Is the following inequality graphed correctly?
x < 6
No, the graph shows x > -6
500
Is the statement true?
2k + 30 > -10
k > -20
True
500
Solve the Inequality
z/30>70
z > 2,100
500
Solve for a
\frac{-9+a}{15}>1
a>24
500
Write and solve an inequality for the following problem. Remember to define your variables.
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?
x<12.7
She could travel 12.7 miles or less