Split up the sentence into parts.

Twenty times a number:  \(\displaystyle 20x\) 

Two less than twenty times a number:  \(\displaystyle 20x-2\)

Is four:  \(\displaystyle =4\)

Combine the terms.

The answer is:  \(\displaystyle 20x-2=4\)

Break up the sentence into parts.

Twice the square of a number:  \(\displaystyle 2x^2\)

The sum of a number and twice the square of a number:  \(\displaystyle x+2x^2\)

Is eleven:  \(\displaystyle =11\)

Combine the parts to form the equation.

The answer is:  \(\displaystyle x+2x^2=11\)

Split up the sentence into parts.

The square root of a number: \(\displaystyle \sqrt{x}\)

Three times the square root of a number:  \(\displaystyle 3\sqrt{x}\)

Ten more less than three times the square root of a number:  \(\displaystyle 3\sqrt{x}-10\)

Is five:  \(\displaystyle =5\)

Combine the parts to form an equation.

The answer is:  \(\displaystyle 3\sqrt{x}-10=5\)

Split up the sentence into parts.

Six times a number cubed:  \(\displaystyle 6x^3\)

 Five more than six times a number cubed:  \(\displaystyle 6x^3+5\)

Is eight:  \(\displaystyle =8\)

The answer is:  \(\displaystyle 6x^3+5=8\)

Split up the sentence into parts.

Eight times a number:  \(\displaystyle 8x\)

Eight times a number less than seven:  \(\displaystyle 7-8x\)

Is fifty six:  \(\displaystyle =56\)

Combine the parts to form the equation.

The answer is:  \(\displaystyle 7-8x = 56\)

Break up the question into parts.

The square of a number:  \(\displaystyle x^2\)

Four times another number:  \(\displaystyle 4y\)

Is six:  \(\displaystyle =6\)

The product means to multiply the numbers together.

The answer is:  \(\displaystyle 4x^2y=6\)

Break up the sentence into parts.

A number squared:  \(\displaystyle x^2\)

The cube root of a number squared:  \(\displaystyle \sqrt[3]{x^2}\)

Eight less than the cube root of a number squared:  \(\displaystyle \sqrt[3]{x^2}-8\)

Is four:  \(\displaystyle =4\)

Set the two terms equal to form the equation.

The answer is:  \(\displaystyle \sqrt[3]{x^2}-8=4\)

Split the sentence into parts.

Four times a number: \(\displaystyle 4x\)

Eight less than four times a number:  \(\displaystyle 4x-8\)

Is twenty:  \(\displaystyle =20\)

Set the terms equal.

The answer is:  \(\displaystyle 4x-8=20\)

Split the sentence into parts.

The cube of a number:  \(\displaystyle x^3\)

Three times the cube of a number:  \(\displaystyle 3x^3\)

Nine more than three times the cube of a number:  \(\displaystyle 3x^3+9\)

Is four:  \(\displaystyle =4\)

Combine the parts to form the equation.

The answer is:  \(\displaystyle 3x^3+9=4\)

Write each part of the sentence in separate terms.

A fifth of a number:  \(\displaystyle \frac{1}{5}x\)

Five less than a fifth of a number:   \(\displaystyle \frac{1}{5}x-5\)

Is three:  \(\displaystyle =3\)

Combine the parts to form an equation.

The answer is:  \(\displaystyle \frac{1}{5}x-5=3\)