In the following exercise, write an algebraic expression for the given situation.

12 fewer than h hats

Write an algebraic expression for each situation.

6 more than a number c

Write an algebraic expression for: 6 more than a number c.

Nikki's backyard is in the shape of a rectangle. The length is 27 feet. The width is one-third the length plus 4 feet. Write and evaluate an expression to find the area of Nikki''s backyard.

Nikki's backyard is in the shape of a rectangle. The length is 27 feet. The width is one-third the length plus 4 feet. Write and evaluate an expression to find the area of Nikki's backyard.

Insert grouping symbols so that the expression has the given value.

Target value: 29

$$12 \times 2^2-18.4+0.6$$

Peanuts are sold in 8-ounce and 12-ounce packages. What is the fewest number of ounces you can buy of each package to have equal amounts of each package size?

Peanuts are sold in 8-ounce and 12 -ounce packages. What is the fewest number of ounces you can buy of each package to have equal amounts of each package size?

The student council was preparing for the school bake sale. The members divided each type of the donated items equally onto plates. Each plate contained only one type of item and every plate had exactly the same number of items. There were no leftovers. What is the greatest number of items that could have been placed on each plate?

An investment of $\$ 1$ was put in an account. Every 8 years, the money doubled. No additional money was added to the account. Would the expression $1 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$ correctly represent how much was in the investment account after 48 years? Explain.

Humans can distinguish up to 18,400,000 individual dots called pixels on a typical computer display. Can a human distinguish pixels on a same-sized HDTV with $2 \times 10^{6}$ pixels? Explain.

Reasoning what is the value of $1^{102}$ ? What is the value of any power of 1? Justify your answer.

Dustin computed his family's road trip as $4.43 \times 10^{3}$ miles. How many miles did Dustin's family travel on the road trip?

The area of the Great Lakes is about $9.5 \times 10^{4}$ square miles. About how many square miles is the area of the Great Lakes?