Podcast
Questions and Answers
If $x + 5 = 12$, what is the value of x?
If $x + 5 = 12$, what is the value of x?
7
Solve for x: $5(x+2) - 3(x-1) = 2x + 9$
Solve for x: $5(x+2) - 3(x-1) = 2x + 9$
No solution or infinitely many solutions
Solve for x: $\frac{2x-5}{3} = \frac{x+7}{2}$
Solve for x: $\frac{2x-5}{3} = \frac{x+7}{2}$
x = 31
Solve for x: $\frac{3x+4}{5} + \frac{2x-1}{3} = 4$
Solve for x: $\frac{3x+4}{5} + \frac{2x-1}{3} = 4$
Simplify the expression: $3(x + 2) - (x - 1)$
Simplify the expression: $3(x + 2) - (x - 1)$
Emma has 250 followers. Every week, she gains 15 new followers. After how many weeks will she have 400 followers?
Emma has 250 followers. Every week, she gains 15 new followers. After how many weeks will she have 400 followers?
A concert ticket costs 27.50 euros. You also bought a backstage pass for 36 euros, but you share its cost equally with two friends (you pay only one-third of the backstage price). If you paid 146 euros in total, how many concert tickets did you buy?
A concert ticket costs 27.50 euros. You also bought a backstage pass for 36 euros, but you share its cost equally with two friends (you pay only one-third of the backstage price). If you paid 146 euros in total, how many concert tickets did you buy?
You score 2 points for each regular basket and 3 points for each three-point shot. After a match, you made 18 shots and scored a total of 42 points. How many regular baskets did you make?
You score 2 points for each regular basket and 3 points for each three-point shot. After a match, you made 18 shots and scored a total of 42 points. How many regular baskets did you make?
Solve for x: $2x = 18$
Solve for x: $2x = 18$
Solve for x: $3(x-4) = 15$
Solve for x: $3(x-4) = 15$
A taxi service charges an initial fee of $3 and then $0.50 per mile. If a ride costs $8, how many miles was the ride?
A taxi service charges an initial fee of $3 and then $0.50 per mile. If a ride costs $8, how many miles was the ride?
You want to buy a shirt that costs $25, but it's on sale for 20% off. How much will you actually pay for the shirt before tax?
You want to buy a shirt that costs $25, but it's on sale for 20% off. How much will you actually pay for the shirt before tax?
If the perimeter of a square is 36 cm, what is the length of one side?
If the perimeter of a square is 36 cm, what is the length of one side?
In a new video game, you earn 5 points for every level you pass. After finishing some levels, you have a total of 65 points. How many levels did you pass?
In a new video game, you earn 5 points for every level you pass. After finishing some levels, you have a total of 65 points. How many levels did you pass?
Flashcards
What does it mean to solve for 'x'?
What does it mean to solve for 'x'?
To find the value of 'x' in an equation.
Solve for x: x + 5 = 12
Solve for x: x + 5 = 12
x = 7 (Subtract 5 from both sides of the equation)
Solve for x: 2x = 18
Solve for x: 2x = 18
x = 9 (Divide both sides of the equation by 2)
Solve for x: 3(x-4) = 15
Solve for x: 3(x-4) = 15
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Solve for x: 5(x+2) - 3(x-1) = 2x + 9
Solve for x: 5(x+2) - 3(x-1) = 2x + 9
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Solve for x: (2x-5)/3 = (x+7)/2
Solve for x: (2x-5)/3 = (x+7)/2
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How to solve (3x+4)/5 + (2x-1)/3 = 4
How to solve (3x+4)/5 + (2x-1)/3 = 4
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Gaming Challenge Solution
Gaming Challenge Solution
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Social Media Mystery Solution
Social Media Mystery Solution
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Music Concert Tickets Solution
Music Concert Tickets Solution
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Basketball Practice Solution
Basketball Practice Solution
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Study Notes
- Use algebra skills to find x and solve real teen-world mysteries
- Some questions are multiple choice, others require full solving
Part 1: Warm-up (Multiple Choice)
- Solve for x: x + 5 = 12
- The answer is a) 7
- Solve for x: 2x = 18
- The answer is a) 9
Part 2: Solve the Equations (Open Answer)
- Solve for x: 3(x-4) = 15
- The equation to solve is 3x - 12 = 15
- Solve for x: 5(x+2) - 3(x-1) = 2x + 9
- The equation to solve is 5x + 10 - 3x + 3 = 2x + 9
- Solve for x: (2x-5)/3 = (x+7)/2
- Solve for x: (3x+4)/5 + (2x-1)/3 = 4
Part 3: Real Life Problems (in English)
- Gaming Challenge:
- Earn 5 points for every level passed in a video game
- A total of 65 points were earned
- Determine the number of levels passed
- Social Media Mystery:
- Emma has 250 followers initially
- She gains 15 new followers every week
- Determine after how many weeks she will have 400 followers
- Music Concert Tickets:
- A concert ticket costs 27.50 euros
- A backstage pass costs 36 euros
- The cost of the backstage pass is shared equally with two friends, implying one-third of the backstage price is paid
- 146 euros were paid in total
- Determine how many concert tickets were bought
- Basketball Practice:
- Two points are scored for each regular basket
- Three points are scored for each three-point shot
- 18 shots were made for a total of 42 points
- Determine how many regular baskets were made
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