INEQUALITIES Solve Inequalities by Addition & Subtraction

Slides:



Advertisements
Similar presentations
4-4 Equations as Relations
Advertisements

Solve an equation with variables on both sides
Solve an absolute value equation EXAMPLE 2 SOLUTION Rewrite the absolute value equation as two equations. Then solve each equation separately. x – 3 =
Objective The student will be able to: solve two-step inequalities. SOL: A.5abc Designed by Skip Tyler, Varina High School.
8/8/ Inequalities. 8/8/ Bumper Cars You must be at least 130cm tall to ride the bumper cars. This can be represented by the inequality.
Solve the following: (8 + v)2 – 10 = 22
Do Now Pass out calculators. Solve the following system by graphing: Graph paper is in the back. 5x + 2y = 9 x + y = -3 Solve the following system by using.
Objective The student will be able to: solve two-step inequalities.
Solving Two-Step Inequalities
Solve a radical equation
Graphing, Writing and Solving Inequalities. 1.graph inequalities on a number line. 2.solve inequalities using addition and subtraction. Objective The.
Holt CA Course Solving Inequalities by Adding or Subtracting Preview of Grade 7 AF4.0 Students solve simple linear equations and inequalities over.
Solving Equations by Adding or Subtracting Objective: Solve equations using the addition and subtraction properties of equalities.
Bell Ringer 9/26/14 Test Questions.
3.6 Solving Absolute Value Equations and Inequalities
1.graph inequalities on a number line. 2.solve inequalities using addition and subtraction. SOL: A.1, A Solving Inequalities with adding and subtracting.
Objective The student will be able to:
Solving Inequalities by adding or subtracting, checking the inequality & graphing it!! This is so easy you won’t even need one of these!!!
4.2 Solving Inequalities using ADD or SUB. 4.2 – Solving Inequalities Goals / “I can…”  Use addition to solve inequalities  Use subtraction to solve.
Learning Target: The student will be able to
Solve an absolute value equation EXAMPLE 2 SOLUTION Rewrite the absolute value equation as two equations. Then solve each equation separately. x – 3 =
Solving Inequalities.
1.graph inequalities on a number line. 2.solve inequalities using addition and subtraction. Objective The student will be able to:
1.solve inequalities using addition and subtraction. SOL: A.3 Objective The student will be able to: Designed by Skip Tyler, Varina High School.
1.graph inequalities on a number line. 2.solve inequalities using addition and subtraction. Objective The student will be able to:
< < < > < > <
1. solve equations with variables on both sides. 2. solve equations containing grouping symbols. Objectives The student will be able to:
Warm Up Translate the Expression
4.4 Solving Multi-step Inequalities. 4.4 – Solving Multi-step Inequal. Goals / “I can…”  Solve multi-step inequalities with variables on one side  Solve.
1.graph inequalities on a number line. 2.solve inequalities using addition and subtraction. Objective The student will be able to:
NCSCOS Obj.: 1.01; 4.01 Daily Objectives TLW graph inequalities on a number line. TLW solve inequalities using addition, subtraction, multiplication and.
Solving Inequalities Using Addition and Subtraction
Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l
Solving inequalities. An equation. Solve this and graph the answer on a number line: x - 2 = 5.
6-3: Solving Equations with variables on both sides of the equal sign
Solve: 1) x + 5 = 9. x + 5 > 9 2) y – 6 = -3
Objective The student will be able to:
graph inequalities on a number line.
Objective The student will be able to:
Solving Inequalities using Addition and Subtraction
Objectives The student will be able to:
Inequalities 12/3/2018.
6.5 Inequalities 12/3/2018.
Objective The student will be able to:
Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.
Objective The student will be able to:
Equations as Relations
Objective The student will be able to:
Equations: Multi-Step Examples ..
USING GRAPHS TO SOLVE EQUATIONS
2 Understanding Variables and Solving Equations.
Objective The student will be able to:
Solve and graph on a number line 3(-2x-1)> 9 2) 4x-2< -42
Objective The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
Solving 1-Step Integer Equations
Objective The student will be able to:
Objective The student will be able to:
Solve an inequality using subtraction
Objective The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
2.2 Solving Equations with Variables on Both Sides
Objective The student will be able to:
2) SOLVING INEQUALITIES Multiplication & Division
Objective The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
Presentation transcript:

INEQUALITIES Solve Inequalities by Addition & Subtraction Designed by Cassie DeLany ~ Richmond Early College

LEARNING TARGET I can…. graph inequalities on a number line. solve inequalities using addition and subtraction.

1) Graph the solution set of x < 3. When you have < or >, use an open dot!

2) Graph the solution set of y ≥ -5/4. • When you have ≤ or ≥, use a closed dot! Converting -5/4 to a decimal = -1.25

3) Graph the solution set of p ≠ 2. When you have ≠, use an open dot and shade both ways!

4) Which inequality would have a closed dot on the number line? > < ≥ ≠ Answer Now

5) Which inequality does NOT use an open dot on the number line? ≤ < > ≠ Answer Now

6) Solve x + (-14) < 16 x - 14 < 16 + 14 + 14 x < 30 + 14 + 14 x < 30 30 + (-14) = 16 16 = 16 Solve this problem like an equation Draw “the river” Eliminate double signs Add 14 to both sides Simplify Check your answer Graph the solution o 30 31 29

7) Solve y + 21 ≥ 7 y ≥ -14 (-14) + 21 = 7 7 = 7 ● - 21 -21 -14 -13 - 21 -21 y ≥ -14 (-14) + 21 = 7 7 = 7 Draw the “river” Subtract 21 from both sides Simplify Check your answer Graph the solution -14 -13 -15 ●

8) Solve 8y + 3 > 9y - 14 - 8y - 8y 3 > y - 14 + 14 + 14 + 14 + 14 17 > y y < 17 8(17) + 3 = 9(17) - 14 Draw “the river” Subtract 8y from both sides Simplify Add 14 to both sides Rewrite inequality with the variable first Check your answer Graph the solution o 17 18 16

9) What is the graph of 7 ≤ m? ● ● o o 7 8 6 7 8 6 7 8 6 7 8 6 Answer Now

10) Solve 3r - 17 ≥ 2r + 14 - 2r - 2r r – 17 ≥ 14 + 17 + 17 r ≥ 31 ● + 17 + 17 r ≥ 31 3(31) - 17 = 2(31) + 14 Draw “the river” Subtract 2r from both sides Simplify Add 17 to both sides Check your answer Graph the solution ● 31 32 30

11) Solve -2x + 6 ≥ 3x - 4 x ≥ -2 x ≤ -2 x ≥ 2 x ≤ 2 Answer Now

12) Joanna’s tests were 87, 93, 88 and 94 12) Joanna’s tests were 87, 93, 88 and 94. What must her 5th grade be to get a total of at least 459? 96 97 98 100 Answer Now