INEQUALITIES
TWO-STEP and TRANSFORMING EQUATIONS
ONE-STEP, TWO-STEP, MULTI-STEP INEQUALITIES
MULTI-STEP EQUATIONS
WORD PROBLEMS
100
Graph x > 3
What is open circle 3, moving to the right of the number line <__________________________>
100
7x - 2 = 22.5
What is x = 3.5
100
6 + r > -2
What is r > -8
100
7(y - 5) = 42
What is y = 11
100
Find two consecutive integers with a sum of 31
What is 15 and 16?
200
a closed circle represents...
What is an equality or < or equal to > or equal to?
200
3x + 5 = 20
What is 5?
200
-n/3 < -2
What is n > 6
200
3a + 2 - 5a = -14
What is a = 8
200
You take your two friends to the One Direction concert. You buy T-shirts and bumper stickers for them. The bumper stickers cost $1 each. Your friend wants 1 shirt and 4 bumper stickers, and your other friend wants 2 shirts and no bumper stickers. If your total was $67, what is the cost of one shirt?
What is one shirt costs $21.
300
Write an inequality for the graph See Picture
What is x < -1
300
x/2 - 5 = 3
What is 16?
300
9 + 4t > 21
What is t > 3
300
3x + 4x = 21
What is 3?
300
A rental car company charges $20/day plus $.10/mi for a small car. A customer owes $100 for a four day car rental. How many miles did the customer drive?
Formula $20(4) + $.10x = $100 What is 200 miles?
400
Graph -2x > 4
What is x < -2?
400

2(x-3)=-6

What 0?

400
2m - 4 < -1
What is m < 3/2
400
2(7x - 6) - 4 = 12
What is x = 2?
400
You walk dogs in your neighborhood after school. You earn $4.50 per dog. How many dogs do you need to walk to earn at least $75.
Formula: let x = amount of dogs $4.50x = $75 What is you must walk at least 17 dogs to earn at least $75. Use approximation
500
You need to flip the sign of the inequality when...
What is...When you are multiplying or dividing by a negative AND/OR you are switching or moving the expressions?
500
y = x/3 - 4
What is x = 3y + 12?
500
-4t + 5 < 1
What is t > 1
500
.15x +3.45 = 4.65
What is b = 8?
500
The 8th grade wants to rent a ballroom for a dance. The ballroom's rental rate is $1500 for 3 hours and $125 for each additional half an hour. Suppose that 8th grade raises $2,125. What is the maximum number of hours for which they can rent the ballroom?
Formula: $1500 + $125x = $2,125 What is ASB can rent the ballroom for a maximum of 5.5 hours.
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