Solve the given linear equation, then check your answer. − ( h + 3 ) = 11 -\left(h+3\right)=11

we're asked to solve the given linear equation, then check our answer. The equation we're given here is negative h plus three equals 11. The first thing I wanna do here is go ahead and distribute this negative into my parentheses here. This will give me a negative h minus three equals 11. Now from here, I can begin using my properties of equality to solve. I, my goal here is to get that h by itself. And my first step in doing that is going ahead and getting rid of this negative three by adding three to both sides. So that three will cancel and I'll end up with a negative H equals 11 plus three, which is 14. Now I have a negative on this H here. In order to get rid of that, I I can go ahead and divide by a negative one. And if I do that here, that will cancel out, leaving me with just h. And 14 divided by negative one will give me negative 14, and this is my solution. Now there are actually a couple of different ways I could have chosen to solve this. Instead of distributing that negative at the beginning, I could have actually started off here by dividing that negative over so that I then just had h plus three equals negative 11. In doing this, I would have gotten the same exact answer. Now another thing that I could have done differently is once I got to this step, if I did end up distributing that negative, I could have added my h over to the other side instead of using my division property of equality in order to cancel my negative. There are often multiple ways to get to the correct answer, and your steps won't always be the exact same as the steps that I take. But you still should get the same exact answer no matter what way you're choosing to solve. Just pay careful attention to each of your steps and always ask for help if you need it. Now one additional thing we want to do here is check our answer. So we can do that by taking our negative 14 and plugging it back into our original equation. Doing that would give me negative negative 14 plus three. And we wanna know, is this a true statement? Is this going to be equal to 11? Now negative 14 plus three is gonna be negative 11. So this is negative, negative 11. We want to know is this equal to 11? We know that two negatives make a positive, so this becomes 11 and I get that 11 equals 11. This is definitely a true statement, so I know that I got my correct answer. So even if you went about solving this equation slightly differently by, for example, taking that negative and dividing it over to the other side from the beginning, you still should end up with a true statement when you go back to check your answer. This will always tell you whether or not you solved your problem correctly. I'll see you in the next one.

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1. Whole Numbers1h 55m

Multiplying Whole Numbers
46m

Dividing Whole Numbers
21m

Long Division
36m

Exponents
10m

2. Integers1h 7m

Introduction to Integers
16m

Multiplying Integers
24m

Exponential Expressions
10m

Dividing Integers
16m

3. Introduction to Solving Equations and Problem Solving1h 11m

Simplifying Expressions
13m

Translating Word Phrases to Algebraic Expressions
6m

Introduction to Solving Equations
41m

Translating Sentences to Algebraic Equations
9m

4. Fractions1h 29m

Intro To Fractions and Mixed Numbers
44m

Simplifying Fractions
45m

5. Decimals1h 20m

Introduction to Decimals
26m

Rounding Decimals
12m

Adding And Subtracting Decimals
41m

6. Ratio, Proportion, and Percent2h 1m

Ratios and Rates
35m

Proportions
33m

Solving Percent Problems With Equations
16m

Applications of Percent
36m

7. Graphing and Introduction to Statistics25m

Tables
3m

Bar Graphs
3m

Frequency Distributions and Histograms
5m

Line Graphs
9m

Circle Graphs
4m

8. Geometry49m

Square Roots and The Pythagorean Theorem
29m

The Circle
20m

9. Measurement58m

US Units of Length
25m

Metric Units of Length
33m

10. Linear Equations and Inequalities6h 29m

The Distributive Property
17m

Evaluating Expressions
15m

Review: Addition and Subtraction Properties of Equality
41m

Review: Multiplication and Division Properties of Equality
30m

Solving Linear Equations
1h 14m

Introduction to Problem Solving
37m

Formulas
21m

Review: Percent Problem Solving
59m

Mixture Problem Solving
43m

Linear Inequalities in One Variable
46m

11. Graphing Linear Equations and Inequalities4h 58m

The Rectangular Coordinate System
44m

Graph Linear Equations in Two Variables
24m

Graph Linear Equations Using Intercepts
23m

Slope of a Line
44m

Slope-Intercept Form
38m

Point Slope Form
22m

Linear Inequalities in Two Variables
28m

Introduction to Relations and Functions
57m

Function Notation
15m

12. Systems of Linear Equations1h 43m

Solving Systems of Linear Equations by Graphing
41m

Solving Systems of Linear Equations by Substitution
15m

Solving Systems of Linear Equations by Elimination
45m

13. Exponents and Polynomials3h 55m

Review: Evaluating Exponents
29m

The Product Rule
10m

Intro to the Power Rules
18m

The Power of a Quotient Rule
18m

Negative Exponents
28m

The Quotient Rule
13m

Simplifying Exponential Expressions Using All Exponent Rules
6m

Intro to Polynomials
21m

Adding and Subtracting Polynomials
20m

Multiplying Polynomials
33m

Special Products
34m

14. Factoring Polynomials2h 42m

Factoring by Greatest Common Factor & Grouping
37m

Factoring Trinomials of the Form x² + bx + c
11m

Factoring Trinomials of the Form ax² + bx + c
37m

Factoring Special Products
20m

Sum & Difference of Cubes
12m

Quadratic Equations & Applications
41m

15. Rational Expressions and Equations3h 40m

Simplifying Rational Expressions
39m

Multiplying And Dividing Rational Expressions
25m

Adding and Subtracting Rational Expressions with Common Denominators
19m

Least Common Denominators
32m

Adding and Subtracting Rational Expressions with Different Denominators
32m

Rational Equations
44m

Direct & Inverse Variation
27m

16. Roots and Radicals2h 46m

Introduction to Radical Expressions
47m

Simplifying Radical Expressions
46m

Adding and Subtracting Radicals
19m

Multiplying, Dividing, and Rationalizing Radicals
53m

17. Quadratic Equations1h 55m

The Square Root Property
17m

Completing the Square
26m

The Quadratic Formula
40m

Graphing Quadratic Equations
30m

10. Linear Equations and Inequalities

Review: Multiplication and Division Properties of Equality

Prealgebra & Beginning Algebra

10. Linear Equations and Inequalities

Review: Multiplication and Division Properties of Equality

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객관식

Solve the given linear equation, then check your answer.
$- (h + 3) = 11$

$h = - 14$

$h = - \frac{11}{3}$

$h = - 33$

$h equals 33$

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마스터 Multiplication Property for Fraction Coefficients가 Patrick Ford 짧은 영상으로 설명해 줍니다

Prealgebra & Beginning Algebra 때문에 힘들어하고 계신가요?

Solve the given linear equation, then check your answer.−(h+3)=11-\(\left\)(h+3\(\right\))=11

다음 시청

Solve the given linear equation, then check your answer.
$- (h + 3) = 11$