Download Algebra 1 Foundations, pg 202 Focus Question

Students will be able to use addition or
subtraction to solve inequalities.
Focus Question
How is solving an inequality with addition or subtraction
similar to solving an equation?
You can use the Addition Property to undo subtraction or
the Subtraction Property to undo addition until you isolate
the variable.
Algebra 1 Foundations, pg 187
Students will be able to use addition or
subtraction to solve inequalities.
Equivalent inequalities are inequalities that have the same
solutions. You will use the Addition Property of Inequality and
the Subtraction Property of Inequality to produce equivalent
inequalities.
To check the solution of an inequality, you need to check at
least two values. First, determine if the endpoint is a solution
of the related equation. Then, choose and test a value that
falls on the shaded part of the number line. If it makes the
inequality true, you know you shaded in the correct direction.
Algebra 1 Foundations, pg 184
Students will be able to use addition or
subtraction to solve inequalities.
Solve each inequality. Graph and check your solutions.
1. p – 4 < 1
2. 8 > d – 2
3. y + 5 < -7
4. 4 + c > 7
Algebra 1 Foundations, pg 187
Students will be able to use addition or
subtraction to solve inequalities.
Focus Question
How is solving an inequality with multiplication or division
similar to solving an equation?
You can use the Multiplication Property to undo division
or the Division Property to undo multiplication until you
isolate the variable. If there is a fraction in the inequality, you
can multiply by its reciprocal.
Algebra 1 Foundations, pg 194
Students will be able to use addition or
subtraction to solve inequalities.
Solve each inequality. Graph and check your solution.
1. 3m > 6
3.
x
< -1
2
2. 4w < 20
4.
r
> -4
3
Students will be able to use addition or
subtraction to solve inequalities.
If you multiply or divide by a negative, you must reverse the
inequality sign.
Solve each inequality. Graph and check your solution.
1. -2m > 8
2. -12w < 36
x
3.
< -1
-3
r
4.
> -3
-2
Students will be able to solve multi-step
inequalities.
Focus Question
How is solving a multi-step inequality similar to solving a
multi-step equation?
You can use the properties of inequality to isolate the
variable.
Sometimes solving an inequality gives a statement that is
always true, such as 4 > 1. In that case, the solutions are
all real numbers. If the statement is never true, as is 9 < 5, then the inequality has no solution.
Algebra 1 Foundations, pg 202
Students will be able to solve multi-step
inequalities.
Solve each inequality, if possible. If the inequality has no
solution, write no solution. If the solutions are all real
numbers, write all real numbers.
1. 7 + 6a > 19
2. 2(r + 2) > -6
3. 18x – 5 < 3(6x -2)
4. -3(w – 3) > 9 – 3w
Algebra 1 Foundations, pg 202-203