Rational Thinking
Which list is ordered from least to greatest and WHY?
/ 0.00265; 2.31 × 104; 2.3 × 105; 275,000/ 2.31 × 104; 2.3 × 105; 0.00265; 275,000
/ 275,000; 2.3 × 105; 2.31 × 104; 0.00265
/ 0.00265; 2.3 × 105; 2.31 × 104; 275,000
Rocking Reality
What is the decimal approximation for the expression 4 times the square root of 12, rounded to the nearest ten-thousandth?
Solve It
A square picture has an area of 63 in.² What is the length of a side of the picture to the nearest tenth?
Shape Shifter
Tia has a goldfish pond in her backyard. She has a white goldfish that is 11 inches long. This is 3 inches more than twice the length of her orange goldfish. This relationship can be represented by the equation, where x is the length of the orange goldfish, in inches.
What is the length of the orange goldfish?
Geometry Gems
What is the value of the expression ?
Formula Formula Formula
A soccer field is twice as long as it is wide. If the perimeter is 600 ft, what is the length of the field?
Show all your work!
Fortune Telling 101
The table below shows data on pitches thrown during baseball practice.
About how many pitches will be required for the team to get 50 strikes?
Explain your answer!
Perfect Plots
Which data would show a negative correlation when graphed on a scatterplot?
/ address of home and eye color/ favorite color and favorite food
/ age of vehicle and value of vehicle
/ miles traveled and time spent driving
Dynamic Data
What is the approximate value of x + y • z when x = , y = , and z = ?
Graph Graph Graph
The scatterplot shows the average height in inches of a boy at a given age. Explain what the line means in terms of heights of boys. Based on this scatterplot, what would be a predicted height for a 12-year-old boy?
Inequalities
Which letter is located at approximately on the number line below?
Earth Shaking Equations
Sam sells used cars. He earns a base salary of $200 a week and a 3% commission on sales. Which equation represents Sam’s weekly salary? Let w = weekly salary and s = sales.
/ s = $200 + 0.03w/ w = $200 + 0.03s
/ w = 0.03 ($200 + s)
/ s = w ($200 + 0.03)
Show all your work!
Exceptional Exponents
What is the value of x in the equation x3 = –27?
Show all your work!
Funky Functions
The function f(x) = 950 − 50x shows how much a Coolbox refrigerator will be worth after x years. The function g(x) = 1,200 − 100x shows how much a Microbox refrigerator will be worth after x years. When will the value of the refrigerators be the same, and what will be that value?
/ After 5 years, the value of the refrigerators will be $450./ After 5 years, the value of the refrigerators will be $700.
/ After 14 years, the value of the refrigerators will be $150.
/ After 12 years, both refrigerators will be worth zero dollars.
Sloping
Solve the given equation for x.
Show all your work!
The Last Word
Jonathan is creating a flag in the shape of a square with an area of 1,225 square centimeters. He plans to use a piece of fabric to model a diagonal line through the square. Fabric costs $0.05 per centimeter. If he has $2.00, does Jonathan have enough money to purchase the fabric? Explain using words and equations.