Algebraic Techniques
Expand: 2(x+3)
2x + 6
What is the solution to the equation 2x + 5 = 11?
x = 3
What is the capital city of Australia?
Canberra
John has $20 more than twice the amount of money his sister has. If his sister has x dollars, write an algebraic expression for John's money and simplify it.
2x + 20
Write the number 2,600,000 in scientific notation
2.6 x 106
Factorise: 3x+3
3(x+1)
What is the solution to the equation 4y - 3 = 17?
y = 5
What is the largest planet in our solar system?
Jupiter
The area of a rectangle is 24 square centimeters. If the length is 6 centimeters, what is the width? Write an algebraic expression and solve for the width.
width = 4cm
Write the number 5.78 × 10^7 in expanded form.
57,800,000
Simplify: (2x + 5y) - 3(5x - 2y)
-13x + 11y
What is the solution to the equation 2(x - 3) = 10?
x = 8
What is the tallest mountain in the world?
Mount Everest
Sally is twice as old as her brother. The sum of their ages is 36. Write an algebraic expression for Sally's age and solve for both ages.
Sally's age = 24
Brother's age = 12
Write 0.00036 in scientific notation
Expand: (x - 5)(x + 5)
x2 - 25
What is the solution to the equation 5z + 2 = 17 - 3z?
z = 2
Who painted the Mona Lisa?
Leonardo da Vinci
The sum of two consecutive even integers is 38. Write an algebraic expression for the smaller integer and solve for both integers.
18 and 20
What is the sum of the values of the 7s and 3s in the number 37,907,737.73824
37,007,737.73
Factorise: x2 + 3x - 3y + 2y2
x(x + 3) + y(-3 + 2y)
What is the solution to the equation 3x - 4 = 5x + 7?
x = -11/2
Which mammals lay eggs?
Platypus
A toy store sells a toy for $20 and makes a profit of $6 per toy. Write an algebraic expression for the store's revenue (total earned) if it sells x toys in a month and simplify it.
20x + 6x = 26x
Simplify the expression: (2.5 × 10^7) ÷ (5 × 10^4)
500