Inequalities and Equations
Two-Step Inequalities
Compound Inequalities
True/false statements
Absolute Value Equations and Inequalities
100
Solving Inequalities
Solve for x.
2x > 8
x > 4
100
Solving Inequalities
Solve for x.
4x + 3 < 7
What is:
x < 1
100
Solving Inequalities
4 < f + 6 < 5
What is:
-2 < f < -1
100
When solving absolute value equations and inequalities, you must first ISOLATE the absolute value. In other words, get the absolute value by itself.
True.
100
Solve:
|x - 4 | < 4
What is
0 < x < 8
x>0 AND x<8
200
Solve
X + 4 = -88
X = -92
200
Solving Inequalities
Solve for x.
2x - 5 > - 11
What is:
x > -3
200
Graph the inequality:
200
The solution to the equation is k = -40
-2K + 30 = -10
False
200
Solve:
3|c - 2| > 6
c < 0 OR C > 4
300
z/30>70
Solve the Inequality
z/30 > 70
z > 2,100
300
Solving Inequalities
Solve for x.
-9x + 1 > -71
What is:
x < 8
300
Solve
-3p + 1 < -11 OR p + 4 < 6
p > 4 OR p < 2
300
True or False:
We use a closed circle to represent the inequalities < and >.
False
300
|2y - 9 | = 1
y = 5
y = 4
400
True or False:
Two 12-inch pizzas have more pizza than a 17-inch pizza.
False!
Two 12-inch pizzas are one square inch smaller than a 17-inch pizza.
400
True or False:
Michigan is larger than Great Britain.
True!
The area of Great Britain is about 94,226 square miles, including land and water. The area of Michigan is 96,716 square miles, including land and water.
400
Graph the inequality:
0<=x<3
400
True or false:
If the variable is getting pointed to, shade right.
False.
If the variable is getting pointed to, shade left.
400
Evaluate the following absolute value expression:
| -4 + 6 - 13| - 4 = ?
7
500
Solve the Equation:
2 ( x - 10 ) = -58 + x
x = -38
500
Solve the inequality
11 < 2 - 3x
x < -3
or
-3 > x
500
-12 < -3x + 6 < -6
6 > x > 4
500
True or False:
Blue eyes are newer to the human race than pottery.
True.
A 2008 study traced the gene for blue eyes to a person who lived 10,000 years ago. Some of the world's oldest pieces of pottery date back to 20,000 years ago.
500
|2x + 4 | < 6
-5 < x < 1