Graphing and Writing Inequalities
True/false statements
multistep equations
Two-Step Inequalities
Word Problems
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
Is the statement true
2X > 3
X = -3
False
100
93= -3(6x+4)-3
What is x is -6
100
Solving Inequalities
Solve for x.
4x + 3 < 7
What is:
x < 1
100
Noor works 8 hours in a day. She spends 3 of those hours working outside. How long does she work inside? Write the equation/inequality and solve.
x + 3 = 8
x = 5 hours
200
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
200
Is the statement true?
-2K + 30 > -10
K = 20
False
200
x(2.50+3)+298.25=400
x = 18.50
200
Solving Inequalities
Solve for x.
2x - 5 > - 11
What is:
x > -3
200
Dylan likes to set the thermostat at 70*. Kabir likes to set his thermostat at least 2* higher than Dylan's. At what temperatures does Kabir like his thermostat? Write the equation/inequality and solve.
x - 2 ≤70*
x ≤ 72*
300
Which direction do we shade for -3 > x ?
What is
Left
300
When solving
-3(4x + 5) -7 + 8 < -10
you flip the inequality symbol.
True
300
-3(x-1)+8(x-1)=20
x = 5
300
Solving Inequalities
Solve for x.
-9x + 1 > -71
What is:
x > -8
300
The sum of two numbers is 221. One number is 6 greater than 1/2 the other number. What are the two numbers? Write the equation/inequality and solve.
x + 1/2 x + 6 = 21
x = 10
!/2x + 6 = 11
400
Is the following inequality graphed correctly?
x < 6
No, the graph shows x > -6
400
If graphing 5>x, we would put an open circle on 5 and shade to the right.
False.
400
-168=-7(-5+3x)-8x
What is x = 7
400
Solve for v.
v/3 + 14 < 30
v < 48
400
Ava's fundraising goal is $400. So far, she has raised $298.25. A company agrees to donate $3 for every full lap Ava runs around a track during a fundraising event. Another company agrees to donate $2.50 for every full lap. If Ava exceeds her goal, how many laps could she have run? Write the equation/inequality and solve.
x(2.50+3) + 298.25 ≥ 400
x ≥ 18.50
500
What are these symbols called:
< , ≤ , > , ≥?
What is
500
2.1(x - 4 - 1) ≤ -29.4
is equal to x ≤ -9
True
500
x+(x+1)+(x+2)+(x+3)=6
X = 0
500
Inequalities
11 < 2 - 3x
x < -3
-3 > x
500
Kabir is saving money to buy a new backpack and sweatshirt. The backpack costs $23.65, and the sweatshirt costs $32.43. He has $20 now, and he will save $4 each week. Determine the range of weeks that kabir will have enough money to buy the backpack and sweatshirt. Write the equation/inequality and solve.
23.65+32.43 ≤ 20+4w
x ≥ 9.02