Basic Inequalities
Two-Step Inequalities
How many solutions?
Explain
Explain
Variety
EXTRA EXTRA
100
To show that my graph for the solution, x ≥ -5, does include the number -5, I need to make this mark on the -5.
What is a "closed" circle?
100
It is important that when we're dividing or multiplying by a negative number that we do this.
What is flip the inequality symbol?
100
2 + 3 + 2x = x
What is one solution when x = -5
100
(x/ 4) - 3 = 15
What is x = 72
100
Specify our steps to solve these type of equations
What is distribute, combine like terms, move the variable, add or subtract, and multiply or divide
200
To show that my solution includes all the numbers smaller than 2, I need to shade in this direction of the number line.
What is to the left?
200
Here's an example of a student's work:
-7c > 35
÷ 7 ÷ 7
c < 5
Identify where the student made an error.
The student divided by 7 instead of (-7).
200
2x + -3x - 15 = -5x + 4x + 20
What is no solution because -15 does not equal 20
200
Solve for x
3x + 15 + -7x = 59
What is x = -11
200
Solve x^2 = 169
What is 13 and -13
300
This inequality represented by the graph:
What is x > -3?
300
Solve n/3 + 6 > -13
What is n > -21
300
4x + 2x - 14 + 5 = 3x + 3x -6 -3
What is infinitely many solutions because 6x = 6x or -9 = -9
300
x - x + x -x + 15 = x -2x - 17
What is x = -32
300
Alex buys a medium size box to pack. He wants to know the dimensions of the box are when it measures 1,728 cubic inches
What is 12 inches
400
If expression says that x is no more than 7, then my inequality would be written as this.
What is x ≤ 7
400
Solve and graph
3x + -5x < 3 -x + -10
What is x > 7
400
(1/4)(28 x - 44) = 7x - 11
What is infinitely many solutions because 7x - 11 = 7x -11, or 7x = 7x, or -11 = -11
400
Solve
(m - 13)/(-5) > 13
What is m < -52
400
Estimate the square root of -13
What is no solution because you cannot find the square root of a negative
500
When solve correctly using the steps, this is the solution to the inequality,
0.5 w - 7.2 > 3.25
What is w > 20.9
500
Solve and graph
-(x + 11) < 2 - 10(-2x -5)
What is x > -3
500
15 -(2x + 15) = 3x -x + 20
What is one solution because x = -5
500
2 - 3(2x - 4) > -(x - 1)
What is x < 3
500
Estimate the square root of 68 to one decimal point
What is 8.2