Expressions, Equations, and Functions

Write a verbal expression for each algebraic expression.

$w-24$

Write a verbal expression for each algebraic expression.

$3x^2$

Write a verbal expression for each algebraic expression.

$\frac{r^4}{9}$

Write a verbal expression for each algebraic expression.

$2a+6$

Write a verbal expression for each algebraic expression.

$r^4\cdot t^3$

Write an algebraic expression for each verbal expression.  

$x$ more than 7

Write an algebraic expression for each verbal expression.

a number less than 35

Write an algebraic expression for each verbal expression.

5 times a number

Write an algebraic expression for each verbal expression.  

one-third of a number

Write an algebraic expression for each verbal expression.

$f$ divided by 10.

Write an algebraic expression for each verbal expression.

the quotient of 45 and $r$

Write an algebraic expression for each verbal expression.

three times a number plus 16

Write an algebraic expression for each verbal expression.

18 decreased by 3 times $d$

Write an algebraic expression for each verbal expression.  

$k$ squared minus 11

Write an algebraic expression for each verbal expression.  

20 divided by t to the fifth power.

GEOMETRY The volume of a cylinder is $\mathrm{\pi }$ times the radius $r$ squared multiplied by the height $h$. Write an expression for the volume.

Jocelyn makes x dollars per hour working at the grocery store and n dollars per hour babysitting. Write an expression that describes her earnings if she babysat for 25 hours and worked at the grocery store for 15 hours.

Write a verbal expression for each algebraic expression.

$25+6x^2$

Write a verbal expression for each algebraic expression.

$6f^2+5f$

Write a verbal expression for each algebraic expression.

$\frac{3a^5}{2}$

Explain the differences between an algebraic expression and a verbal expression.

Define a variable to represent a real-life quantity, such as time in minutes or distance in feet. Then use the variable to write an algebraic expression to represent one of your daily activities. Describe in words what your expression represents and explain your reasoning.

Consuelo and James are writing an algebraic expression for three times the sum of n squared and 3. Is either of them correct? Explain your reasoning.

For the cube, $x$ represents a positive whole number. Find the value of $x$ such that the volume of the cube and 6 times the area of one of its faces have the same value.

Describe how to write an algebraic expression from a real-world situation. Include a definition of algebraic expression in your own words.

Which expression best represents the perimeter of the rectangle.

$\begin{array}{l}F)\frac{r^4}{9}\\ G)l+w\\ H)2l+2w\\ J\left)4\right(l+w)\end{array}$

Which expression best represents the volume of the cube?

1. The product of three and five
2. Three to the fifth power
3. Three squared
4. Three cubed

The yards of fabric needed to make curtains is 3 times the length of a window in inches, divided by 36. Write an expression that represents the yards of fabric needed in terms of the length of the window.

Find the area of the rectangle.

$\begin{array}{l}A) 14squaremeters\\ B) 16squaremeters\\ C) 50squaremeters\\ D) 60squaremeters\end{array}$

A roller coaster enthusiast club took a poll to see what each member's favorite ride was. Make a bar graph of the results.

The results for an annual 5K race are shown at the right. Make a box-and-whisker plot for the data. Write a sentence describing what the length of the box-and-whisker plot tells about the times for the race. (Lesson 0-13)

Find the mean, median, and mode for each set of data.

$\left\{7,6,5,7,4,8,2,2,7,8\right\}$

Find the mean, median, and mode for each set of data.

$\left\{-1,0,5,2,-2,0,-1,2,-1,0\right\}$

Find the mean, median, and mode for each set of data.

$\left\{17,24,16,3,12,11,24,15\right\}$

Lisa has a rectangular trampoline that is 6 feet long and 12 feet wide. What is the area of her trampoline in square feet? 

Find each product or quotient.

$\frac{3}{5}\cdot \frac{7}{11}$

Find each product or quotient.

$\frac{4}{3}÷\frac{7}{6}$

Find each product or quotient.

$\frac{5}{6}\cdot \frac{8}{3}$

Evaluate each expression.

$\frac{3}{5}+\frac{4}{9}$

Evaluate each expression.

$5.67-4.21$

Evaluate each expression.

$\frac{5}{6}-\frac{8}{3}$

Evaluate each expression.

$10.34+14.27$

Evaluate each expression.

$\frac{11}{12}+\frac{5}{36}$

Evaluate each expression.

$37.02-15.86$

Name the set or sets of numbers to which each real number belongs.

$-\sqrt{64}$

Evaluate the expression $2^4$.

Evaluate the expression $4^5$.

Evaluate the expression $7^3$.

Name the set or sets of numbers to which each real number belongs.

$\frac{\mathbf{8}}{\mathbf{3}}$

Evaluate the expression $3+42\cdot 2-5$.