Expressions, Equations, and Functions

Find each product or quotient. Write in the simplest form.

$-6\cdot \left(-\frac{3}{4}\right)$

Find each product or quotient. Write in the simplest form.

$\frac{7}{18}÷\left(-\frac{14}{15}\right)$

Joseph is mixing $5\frac{1}{2}$ gallons of orange drink for his class picnic. $\frac{1}{2}$ Every gallon requires 1 packet of orange drink mix. How many packets of orange drink mix does Joseph need?

Express each percent as a fraction in the simplest form.

6%

Express each percent as a fraction in the simplest form.

$40\%$

Use the percent proportion to find each number.

50% of what number is 31?

Use the percent proportion to find each number.

What number is 110% of 51?

Use the percent proportion to find each number.

Find 8% of 95.

A solution is prepared by dissolving 24 milliliters of saline in 150 milliliters of pure solution. What is the percent of saline in the pure solution?

SHOPPING Marta got 60% off a pair of shoes. If the shoes cost $9.75 (before sales tax), what was the original price of the shoes?

Find the perimeter and area of each figure.

Find the perimeter and area of each figure.

A parallelogram has a base of 20 millimeters and a height of 6 millimeters. Find the area.

GARDENS Find the perimeter of the garden.

The expression and evaluate the expression to describe his total income for the weekend.

A bag of lollipops contains 19 cherries, 13 grapes, 8 sour apples, 15 strawberries, and 9 orange-flavored lollipops. What is the probability of drawing a sour apple-flavored lollipop?

Evaluate the expression $8^2$. (Lesson 1-2)

Evaluate the expression ${\left(-6\right)}^2$.

Determine whether each relation is a function. Explain.

$\left\{\right(2,1),(3,-2),(3,1),(2,-2\left)\right\}$

Evaluate each expression.

$29-3\left(9-4\right)$

Use the Distributive Property to rewrite each expression. Then simplify.

$\mathbf{2}\mathbf{(}\mathit{x}\mathbf{ }\mathbf{+}\mathbf{ }\mathbf{4}\mathbf{)}$

Use the Distributive Property to rewrite each expression. Then evaluate.

$\left(5+n\right)\mathbf{3}$

Use the Distributive Property to rewrite each expression. Then evaluate.

$\left(4-3m\right)\mathbf{8}$

Use the Distributive Property to rewrite each expression. Then simplify.

$\mathbf{-}\mathbf{3}\mathbf{(}\mathbf{2}\mathit{x}\mathbf{ }\mathbf{-}\mathbf{ }\mathbf{6}\mathbf{)}$

Simplify each expression. If not possible, write simplified.

$\mathbf{13}\mathit{r}\mathbf{+}\mathbf{5}\mathit{r}$

Simplify each expression. If not possible, write simplified.

$\mathbf{3}{\mathit{x}}^{\mathbf{3}}\mathbf{-}\mathbf{2}{\mathit{x}}^{\mathbf{2}}$

Simplify each expression. If not possible, write simplified.

$\mathbf{7}\mathit{m}\mathbf{+}\mathbf{7}\mathbf{-}\mathbf{5}\mathit{m}$

Simplify each expression. If not possible, write simplified.

$\mathbf{5}{\mathit{z}}^{\mathbf{2}}\mathbf{+}\mathbf{3}\mathit{z}\mathbf{+}\mathbf{8}{\mathit{z}}^{\mathbf{2}}$

Simplify each expression. If not possible, write simplified.

$\mathbf{(}\mathbf{2}\mathbf{ }\mathbf{–}\mathbf{ }\mathbf{4}\mathit{n}\mathbf{)}\mathbf{17}$

 Evaluate the expression ${\left(2.5\right)}^{\mathbf{2}}$.

Evaluate the following expression:

$\mathbf{11}\left(5\right)\mathbf{-}\mathbf{8}\left(5\right)$

A bird feeder will hold up to 3 quarts of seed. The feeder weighs 2.3 pounds when empty and 13.4 pounds when full.

Make a table that shows the bird feeder with 0,1,2, and 3 quarts of seed in it weighing 2.3,6,9.7,13.4 pounds respectively.

A bird feeder will hold up to 3 quarts of seed. The feeder weighs 2.3 pounds when empty and 13.4 pounds when full.

Determine the domain and range of the function.

A bird feeder will hold up to 3 quarts of seed. The feeder weighs 2.3 pounds when empty and 13.4 pounds when full.

Write the data as a set of ordered pairs. Then graph the data.

A bird feeder will hold up to 3 quarts of seed. The feeder weighs 2.3 pounds when empty and 13.4 pounds when full.

State whether the function is discrete or continuous. Explain your reasoning.

Determine if each of the equations represents a function 4x=8.

Determine if each of the equations represents a function 4x=y+8.

For $f\left(x\right) = 2x – 3$ finding each value.

$f\left(1\right)$

For $f\left(x\right)=2x–3$ finding each value.

$6–f\left(5\right)$

For $f\left(x\right)=2x-3$ find each value

$f(-2)$

For $f\left(x\right)=2x–3$ finding each value.

$f(-1)+f\left(2\right)$

For $f\left(t\right)=2t^3$ finding the value of $f\left(4\right)$.

For $f\left(t\right)=2t^3$ find the value.

$3\left[f\right(t\left)\right]+2$

For $f\left(t\right)=2t^3$ find the value.

$f(-5)$.

For $f\left(t\right)=2t^3$ find the value.

$f(-3)–f\left(1\right)$.

Solve each equation.

$(4-2^2+5)w=25$

Examples 1 and 3 Determine whether each relation is a function. Explain.

Examples 1 and 3 Determine whether each relation is a function. Explain.

Determine whether each relation is a function. Explain.

$\left\{\right(2,2),(-1,5),(5,2),(2,-4\left)\right\}$

Determine whether each relation is a function. Explain.

$y=\frac{1}{2} x-6$