Translating Expressions in Algebra

What is the algebraic translation of 'the sum of x and four'?

Which expression correctly represents the phrase 'three times the difference of y and ten'?

What is the algebraic representation for 'the quotient of a number and fifteen'?

How would you express 'the product of five and the sum of x and two' algebraically?

What is the correct numerical expression for 'y diminished by three times z'?

What is the algebraic translation of 'three-fourths of a number'?

Which expression represents 'the product of a number and nine'?

How would you express 'The difference of three and twice a number plus one' algebraically?

What algebraic expression represents 'half a number decreased by twelve'?

What is the algebraic expression for 'Twenty less than a number'?

Which of the following represents 'A number divided by three is eight'?

What is the algebraic expression for 'the sum of seven and five'?

How would you express 'Twenty more than four times a number' algebraically?

Translating Expressions

Mathematical Operations:
- Addition: +
- Subtraction: -
- Multiplication: x, *
- Division: /
- Exponents: ^
Key Words and Symbols:
- Sum: +
- Difference: -
- Product: x, *
- Quotient: /
- Twice: 2*
- Thrice: 3*
- Square: ^2
- Cube: ^3

Example Translations

The sum of m and eight: m + 8
Seven minus a: 7 - a
r exceeds by twenty: r + 20
The product of nine and n: 9n
y divided by eight: y/8
Twice a number: 2x
The quotient of a number and ten: x/10
Ten less than b: b - 10
Three-fourths of a number: ¾ (x)
The difference of three and twice a number plus one: 3 – (2x + 1)
A number divided by three is eight: a/3=8
Half a number decreased by twelve: (n / 2) - 12
The product of a number and nine: x * 9

Practice Problems

The sum of twice a number and seven: 2x + 7
The product of twelve and a number decreased by eight: 12x - 8
Twenty more than four times a number: 4x + 20
The quotient of thrice a number and fifteen: 3x / 15
Eight times the square of a number diminished by four: 8x^2 - 4

Word Problem Example

Dane bought apples and oranges for 60 pesos.
The problem asks for a solution that involves combining different types of fruit, implying addition.
The total cost (60 pesos) is the sum of the cost of the individual items.

This quiz focuses on translating mathematical expressions using various operations such as addition, subtraction, multiplication, and division. Participants will practice interpreting verbal phrases into algebraic expressions, enhancing their understanding of key formulas and symbols. Ideal for students learning algebra concepts.