Write down an algebraic expression for each of the following statements:

Here are the algebraic expressions for each statement:

1) Write down an algebraic expression for each of the following statements shown below:

• a) The sum of a number and 8. $$\boxed{x + 8}$$
• b) The difference between 6 and a number. $$\boxed{6 - x}$$
• c) Multiply a number by 12. $$\boxed{12x}$$
• d) The product of a number and 4. $$\boxed{4x}$$
• e) 2 greater than a number. $$\boxed{x + 2}$$
• f) Double a number. $$\boxed{2x}$$
• g) Half a number. $$\boxed{\frac{x}{2}}$$
• h) 2 less than a number. $$\boxed{x - 2}$$
• i) 5 less than twice a number. $$\boxed{2x - 5}$$
• j) The product of a number and 2 added to a different number. $$\boxed{2x + y}$$
• k) The square of a number. $$\boxed{x^2}$$
• l) 4 greater than the product of a number and 2. $$\boxed{2x + 4}$$
• m) 2 less than the quotient of a number and 10. $$\boxed{\frac{x}{10} - 2}$$
• n) Subtract a number from the product of 2 and another number. $$\boxed{2y - x}$$
• o) The square of a number multiplied by 2. $$\boxed{2x^2}$$
• p) The cube root of the product of 8 and a number. $$\boxed{\sqrt[3]{8x}}$$
• q) 8 less than 3 times a number. $$\boxed{3x - 8}$$
• r) The product 2 and the difference between 5 and a number. $$\boxed{2(5 - x)}$$
• s) 2 less than the sum of 5 and a number cubed. $$\boxed{5 + x^3 - 2 \quad \text{or} \quad x^3 + 3}$$

2) Write down an algebraic expression for each of the following statements shown below:

• a) Three times the difference between $m$ and 10. $$\boxed{3(m - 10)}$$
• b) The product of 6 and $q$ is added to 3. $$\boxed{6q + 3}$$
• c) 5 times the cube root of $e$. $$\boxed{5\sqrt[3]{e}}$$
• d) The sum of $r$ and 5 then multiplied by 2. $$\boxed{2(r + 5)}$$
• e) $t$ divided by 4 and decreased by 3. $$\boxed{\frac{t}{4} - 3}$$
• f) The quotient when the difference between $f$ and 3 is divided by 6. $$\boxed{\frac{f - 3}{6}}$$
• g) The square of the sum of $b$ and 2. $$\boxed{(b + 2)^2}$$
• h) The product of $p$ and $q$ increased by 8. $$\boxed{pq + 8}$$
• i) Triple the difference between 5 and $x$. $$\boxed{3(5 - x)}$$