Podcast
Questions and Answers
What is the value of 'a' in the equation $2a - 7 = -15$?
What is the value of 'a' in the equation $2a - 7 = -15$?
-4
What is the value of 'x' in the equation $3 = -6x + 15$?
What is the value of 'x' in the equation $3 = -6x + 15$?
2
What is the value of 'c' in the equation $\frac{c}{4} + 10 = 22$?
What is the value of 'c' in the equation $\frac{c}{4} + 10 = 22$?
48
What is the value of 'y' in the equation $1.5y + 3.4 = 7.9$?
What is the value of 'y' in the equation $1.5y + 3.4 = 7.9$?
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What is the value of 'y' in the equation $\frac{2}{3}y - 9 = 5$?
What is the value of 'y' in the equation $\frac{2}{3}y - 9 = 5$?
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What is the value of 'x' in the equation $8 = 9x - 7$?
What is the value of 'x' in the equation $8 = 9x - 7$?
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What is the value of 'm' in the equation $8m - 3m = 4$?
What is the value of 'm' in the equation $8m - 3m = 4$?
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What is the value of 'y' in the equation $6 - 2y - y = 12$?
What is the value of 'y' in the equation $6 - 2y - y = 12$?
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What are the values of 'q' in the equation $\frac{2}{3}q + 5 = \frac{3}{4}$?
What are the values of 'q' in the equation $\frac{2}{3}q + 5 = \frac{3}{4}$?
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What is the value of 'c' in the equation $-2(5 + 6c) + 16 = -90$?
What is the value of 'c' in the equation $-2(5 + 6c) + 16 = -90$?
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What was the original price if a pair of jeans is on sale for 15% off and the sale price is $29.74?
What was the original price if a pair of jeans is on sale for 15% off and the sale price is $29.74?
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How many tens and twenties does the bank teller have if his total is $1,167 and he has $147 in other bills?
How many tens and twenties does the bank teller have if his total is $1,167 and he has $147 in other bills?
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What is the value of 'x' in the equation $7x = 33 - 4x$?
What is the value of 'x' in the equation $7x = 33 - 4x$?
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What is the value of 'a' in the equation $2a - 24 - 3a = 5a$?
What is the value of 'a' in the equation $2a - 24 - 3a = 5a$?
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What is the value of 'b' in the equation $8(b + 3) = 2b - 4$?
What is the value of 'b' in the equation $8(b + 3) = 2b - 4$?
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What is the value of 'x' in the equation $2x - (9 - 3x) = 8x - 11$?
What is the value of 'x' in the equation $2x - (9 - 3x) = 8x - 11$?
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What is the solution for 'a' in the inequality $2a - 3 > 11$?
What is the solution for 'a' in the inequality $2a - 3 > 11$?
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What does the inequality $9y + 13$ tell us about 'y'?
What does the inequality $9y + 13$ tell us about 'y'?
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What does the inequality $-6c + 12$ tell us about 'c'?
What does the inequality $-6c + 12$ tell us about 'c'?
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What is the value of 'x' in the inequality $\frac{8}{9}x + 5 < -3$?
What is the value of 'x' in the inequality $\frac{8}{9}x + 5 < -3$?
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What is the value of 'x' in the inequality $-17 > \frac{x}{3} - 19$?
What is the value of 'x' in the inequality $-17 > \frac{x}{3} - 19$?
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Study Notes
Equations and Solutions
- Solve (2a - 7 = -15) results in (a = -4).
- Solve (3 = -6x + 15) results in (x = 2).
- Solve (\frac{c}{4} + 10 = 22) results in (c = 48).
- Solve (1.5y + 3.4 = 7.9) results in (y = 3).
- Solve (\frac{2}{3}y - 9 = 5) results in (y = 21).
- Solve (8 = 9x - 7) results in (x = \frac{5}{3}).
Additional Equations
- Solve (8m - 3m = 4) results in (m = \frac{4}{5}).
- Solve (6 - 2y - y = 12) results in (y = -2).
- Solve (\frac{2}{3}q + 5 = \frac{3}{4}) results in (q = -6 \text{ and } \frac{3}{8}).
- Solve (-2(5+6c) + 16 = -90) results in (c = 8).
Real-Life Applications
- Calculate the original price of jeans after a 15% discount leading to a sale price of $29.74; original price is $34.99.
- A bank teller has an equal number of $10 and $20 bills amounting to $1,167; with $147 in other bills, he has 34 tens and 34 twenties.
Inequalities
- Solve (7x = 33 - 4x) leading to (x = 3).
- Solve (2a - 24 - 3a = 5a) leading to (a = -4).
- Solve (8(b + 3) = 2b - 4) leading to (b = -7).
- Solve (2x - (9 - 3x) = 8x - 11) leading to (x = \frac{2}{3}).
Compound and Relative Inequalities
- From (2a - 3 > 11), the solution for (a) is (a > 7).
- Solve (9y + 13 \leq -14) yielding (y \leq -3).
- From (-6c + 12 \geq 8), solving gives (c \leq \frac{2}{3}).
- Solve (\frac{8}{9}x + 5 < -3) leading to (x < -\frac{3}{5}).
Expression Interpretation
- Solve (-17 > \frac{x}{3} - 19), providing an inequality leading to JavaScript variables or constraints on (x).
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of pre-algebra concepts with these flashcards. Solve for variables in various equations and strengthen your skills in basic algebra. Each flashcard presents an equation along with the solution for effective learning.
