Vocabulary & Rules
Two-Step Inequalities
Does the value 3 make the inequality true?
Writing Two-Step Inequalities
Number Line
100
What is a mathematical statement that shows the equal value of two expression?
An Equation
100
Solve for the variable.
3x - 5 < 19
What is x < 8?
100
Does the value 3 make the inequality true?
4d + 15 ≤ -1
False.
27 > -1
100
An employee at a car wash earns $12 for each car she washes. She has already saved $50. She wants to have at least $250 saved. Write an inequality that represents how many cars she must wash.
What is 12n + 50 ≥ 250?
100
What inequality is shown on the number line below?
x ≤ -1
200
What is a mathematical statement that shows that an expression is lesser than or more than the other?
An Inequality
200
Solve for the variable.
-2x + 12 < -4
What is x > 8?
200
Does the value 3 make the inequality true?
-6p + 5 < 7
True
-13 < 7
200
A video game enthusiast saved $750 to spend on a video game system and games. The game system cost $400. The games cost $49 each. This inequality shows the highest number of games the enthusiast can purchase.
What is 49g + 400 ≤ 750?
200
Write the inequality that is shown on the number line above.
x < 5
300
Addition and Subtraction.
Multiplication and Division.
Are examples of........
Inverse Operations
300
Solve for the variable.
-7d + 8 > 29
What is d < 3?
300
Does the value 3 make the inequality true?
5 + 2x > 9
True.
11 > 9
300
Sue and Cath have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 fixed charge. What is the maximum number of miles they will be able to travel in the cab?
What is 3m + 2 ≤ 20?
300
Write the inequality that is shown on the number line below.
x > 3
400
When dividing or multiplying by a negative number in solving an inequality....what must you do?
You must flip or reverse the inequality sign
400
Solve for the variable.
12 - 3b < 9
What is b > 1?
400
Does the value 3 make the inequality true?
-3y + 20 ≤ -25
False
11 > -25
400
Ms. Koch is buying school supplies on Amazon; she is trying to qualify for free shipping so she must buy at least $25 worth of supplies. She bought $10 worth of notebook paper and wants to buy stickers at $2 each. How many packs of stickers can she buy?
Represent this situation as an inequality.
What is 10 + 2s ≥ 25?
400
Write the inequality that is shown by the number line below.
x ≥ 0
500
You use this kind of circle on your graph when the inequality has a < or > sign.
Open Circle
500
Solve for the variable.
2p + 11 ≥ -5
What is z ≥ -8?
500
Does the value 3 make the inequality true?
3(1 - z) < 9
True
-6 < 9
500
Lionel wants to buy a belt for $22. He also wants to buy some shirts that are on sale for $17 each. He has $80. This inequality represents how many shirts he can buy.
What is 22 + 17n ≤ 80?
500
What is the inequality shown by the number line below?
x ≥ -4