In the following exercise, use the expression $1+\frac{z}{3}+2 w$.

Which part of the expression is a product of two factors? Describe its parts.

In the following exercise, use the expression $1+\frac{z}{3}+2 w$.

Which part of the expression is a quotient? Describe its parts.

In the following exercise, find the value of expression when a=1/3, b=9, c=5, and d=10.

$$12 a+c-b$$

In the following exercise, evaluate the given expression.

$$8+6-2 \times 2-3^2$$

In the following exercise, use properties of operations to complete the equivalent expression.

$5(3 x-9)$ and $\underline{\quad}x-\underline{\quad}$

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

six times the quantity two x plus three y

In the following, complete each table. Then circle the expressions that are equivalent.

In the following exercise, evaluate the given expression.

$$[(7.3+3.6)-4.7]+1.8-2^2$$

Evaluate the following numerical expression.

$$94-(5 \times 6) \div 6 \times 11$$

Josephine's math study group is doing a research project. There are 5 students in her group. In January, each group member surveyed x volunteers and gave a 10-minute presentation. Each volunteer completed a follow-up survey in May. Josephine wrote the expression $5(6 x+25 x+10)$ to represent the total time in minutes that her group spent surveying volunteers and giving presentations.

How can you use properties of operations to write an equivalent expression? Explain your reasoning.

In the following exercise, simplify the given expression.

4y-y

In the following exercise, write the exponent for the given expression.

$$\left(\frac{2}{3}\right)^8$$

In the following exercise, evaluate the expressions when t = 8, w = 1/2, and x = 3.

$$t^2-12 w \div x$$

In the following exercise, write the exponent for the given expression.

$$9 \times 9 \times 9 \times 9$$