Algebra Basics
In 3x + 5, what is the variable?
Solve: x + 5 = 12
x = 7
A notebook costs $4. How much do x notebooks cost?
4x
A student says 2x + 3x = 5x². Is this correct?
No. It is 5x.
What is the next number? 2, 5, 8, 11, ___
14
In 7y + 4, what is the coefficient of y?
7
Solve: x - 8 = 3
x = 11
A movie ticket costs $12. Write an expression for x tickets.
12x
A student says x + 7 = 15, so x = 22. What should x be?
8
If x = 5, what is 3x + 2?
17
What is the value of 3x + 2 when x = 4?
14
Solve: 3x = 21
x = 7
You have $50 and spend $8. Write an expression for the money left.
50 - 8
A student says 4(x + 2) = 4x + 2. What is the correct answer?
4x + 8
Write an equation where the answer is x = 6.
E.g: x + 4 = 10
Simplify: 3x + 5x
8x
Solve: 2x + 5 = 17
x = 6
A taxi costs $5 to start and $3 per kilometre. Write an expression for x kilometres.
5 + 3x
A student solves 2x + 6 = 14 and gets x = 10. Find their mistake.
They need to subtract 6 first, then divide by 2. x = 4.
I think of a number, multiply it by 2, and add 5. The answer is 17. What is my number?
6
Simplify: 4x + 3 + 2x + 7
6x + 10
Solve: 3x − 4 = 20
x = 8
A gym charges $20 to join and $7 each week. How much will it cost after x weeks?
20 + 7x
A student says 3(x + 4) + 2x = 5x + 4. What is the correct simplified expression?
5x + 12
A number is multiplied by 3, then 4 is subtracted. The answer is 20. What is the number?
8