Evaluate 8(x-7)+4(6-2y) with Substitution: x=0, y=-1

Q: Why do I need parentheses when substituting negative numbers?

Parentheses are essential for negative substitutions! Without them, $ 2y $ becomes $ 2-1 = 1 $ instead of $ 2(-1) = -2 $. Big difference!

Q: How do I handle double negatives like -(-2)?

Remember: two negatives make a positive! So $ -(-2) = +2 $. In our problem, $ 6-(-2) = 6+2 = 8 $.

Q: Should I substitute both variables at once or one at a time?

It's usually safer to substitute one variable at a time. This helps you avoid mixing up the values and makes it easier to check your work step by step.

Q: What if I get confused with the order of operations?

After substitution, follow PEMDAS: Parentheses first, then multiplication/division, finally addition/subtraction from left to right. Take it slow!

Q: How can I check if my final answer is correct?

Substitute your variables back into the original expression and calculate step by step. If you get the same result, you're right!

Variable Substitution with Negative Values

What will be the result of this algebraic expression:

$8(x-7)+4(6-2y)$

if we place

$x=0,y=-1$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:13 Let's set up the problem and find the solution.

00:17 First, substitute the numbers given in the problem and solve step by step.

00:34 Always remember to solve what's inside the parentheses first.

00:43 Next, do multiplication and division before you add and subtract.

00:48 If you multiply two negatives, you always get a positive number.

00:53 And when you multiply a positive by a negative, the result is negative.

01:00 Keep going, following the right order of operations to solve the problem.

01:12 And there you have it, the solution to the question!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What will be the result of this algebraic expression:

$8(x-7)+4(6-2y)$

if we place

$x=0,y=-1$

Step-by-step solution

We have the given exercise, and it has two variables, X and Y.

In this case, we are given the values of these variables,

Therefore, what we need to do is substitute them in the relevant place in the exercise:

8(x-7)+4(6-2y)=

We know that x=0, so we will replace every X in the exercise with 0:

8(0-7)+4(6-2y)=
8(-7)+4(6-2y)=
-56+4(6-2y)=

We'll do the same thing with y, knowing that it equals -1

-56+4(6-2*(-1))=
-56+4(6-(-2)))=

-56+4(8)=

-56+32=

-24

And that's the solution!

Final Answer

$-24$

Key Points to Remember

Essential concepts to master this topic

Rule: Replace each variable with its given value exactly
Technique: For y = -1, write 2(-1) = -2, then calculate carefully
Check: Verify: 8(-7) + 4(8) = -56 + 32 = -24 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to use parentheses around negative substitution values
Don't write 2y as 2-1 when y = -1 = wrong calculation! This creates subtraction instead of multiplication with a negative. Always write 2(-1) with parentheses around the negative value.

Practice Quiz

Test your knowledge with interactive questions

What will be the result of this algebraic expression:

$$ 5x-6 $$

if we place

$$ x=8 $$

FAQ

Everything you need to know about this question

Why do I need parentheses when substituting negative numbers?

Parentheses are essential for negative substitutions! Without them, $2y$ becomes $2-1 = 1$ instead of $2(-1) = -2$ . Big difference!

How do I handle double negatives like -(-2)?

Remember: two negatives make a positive! So $-(-2) = +2$ . In our problem, $6-(-2) = 6+2 = 8$ .

Should I substitute both variables at once or one at a time?

It's usually safer to substitute one variable at a time. This helps you avoid mixing up the values and makes it easier to check your work step by step.

What if I get confused with the order of operations?

After substitution, follow PEMDAS: Parentheses first, then multiplication/division, finally addition/subtraction from left to right. Take it slow!

How can I check if my final answer is correct?

Substitute your variables back into the original expression and calculate step by step. If you get the same result, you're right!

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Evaluate 8(x-7)+4(6-2y) with Substitution: x=0, y=-1

Variable Substitution with Negative Values

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why do I need parentheses when substituting negative numbers?

How do I handle double negatives like -(-2)?

Should I substitute both variables at once or one at a time?

What if I get confused with the order of operations?

How can I check if my final answer is correct?

🌟 Unlock Your Math Potential

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