Exploring Equivalence
If 4x - 7 = 18, what is 4x?
What is 4x = 25.
A large cheese pizza costs $8.99. Each additional costs $1.30. What is the greates number of toppings can you get if you have $15 to spend on a pizza?
4x + 10 = 6x + 2
x = 4
Find the solution to 3(x - 10) = 5x .
What is x = -15.
10,13,16,19,22...
What is arithmetic sequence. It starts at 10 and has a common difference of 3.
Determine the value of the question mark so that the equation is true.
5(x-2) = (x-2) +?(x-2)
What is ?= 4.
Jayne is on page 54 of a book. At a rate of 300 words per minute, it will take her 2.8 hours to read 100 pages. If her book is 312 pages, how long will it take her to finish the rest of her book?
Round to the nearest hundredth of an hour.
What is 7.22 hours?
Company A currently has 61 employees and is hiring 5 employees a year. Company B currently has 7 employees and is hiring 11 employees a year. Determine exactly how many years it will take for the two companies to have the same number of employees.
What is 9 years.
What is x = -3.
Find the slope of the line passing through (-3,10) and (15,-14)
What is -4/3?
If w=3y and 8w - 48, find the value of y.
What is y = 2.
The cost of a 1-year car lease is $3,442 with a mile allowance of up to 10,000 miles. If you exceed this mileage, you pay a certain price per mile. You return the car with 11,236 miles on it and pay a total of $3899.43 for a 1 year lease. Write an equation that could be used to solve for x, the additional price per mile exceeding the 10,000- mile limit?
What is 3899.43=(11236-10000)x + 3442.
Kenny works at the car wash and gets paid by the hour. Last week, Kenny earned $157.50 at his job. This week, he worked 2 hours more than last week and earned $180. How much does Kenny get paid per hour?
What is $11.25.
Consider the equation -5x + 8 = 3x + k for some constant k. Find a value for k so that the solution to the equation is negative.
What is any value greater than "0".
Write the equation for the line passing through points (9,2) and (9,-4).
What is x = 9.
If 9(x - y) = 36, find 6x-6y.
What is 6x-6y=20.
In a pile of dimes and quarters, there are 5 fewer quarters than there are dimes. The total value of the pile of coins is $2.95. Write an equation that could be used to find the number of dimes in the pile, d.
.25(d-5) + .10d =2.95
Consider the equation 5x + 20 = kx +12 for the constant k.
Find the value of k so that the equation has no solution.
What is k =5.
Roco buys black ink for his printer in an XL cartridge size that contains 8.3mL of ink. He also buys cartridges of cyan, magenta and yellow ink which each contain 5.6 mL of ink. His black ink runs out after 85 days and his magenta ink runs out after 80 days.
Which ink color, black or magenta, is being used at a faster rate? How do you know?
The black ink because .097mL per day and the magenta uses .07mL per day.
Write an equation of a line that passes through point (-3,8) and (10,8).
What is y = 8.
Francesca bought 4 bags of tortilla chips and 2 jars of salsa for $11.82.
What is the cost fo 2 bages of tortilla chips and 1 jar of salsa? How do you know?
What is $5.91 because you divide everything by 2 from original purchase.
Janelle measured 3 cups of flour into a bowl. When she weighs the bowl with its contents, it weighs 757 grams. When the bowl is empty it weighs 385 grams. Find the approxiate weight, in grams, of a cup of flour.
Conside the equation 5x + 20 = kx + 12.
Find the vlaue of k so that the solution to the equation is x=2.
What is k = 9.
Roco buys black ink for his printer in an XL cartridge size that contains 8.3mL of ink. He also buys cartridges of cyan, magenta and yellow ink which each contain 5.6 mL of ink. His black ink runs out after 85 days and his magenta ink runs out after 80 days.
Will there be a day when the black ink cartridge and the magenta ink cartridge have the same volume of ink left? Is so, when? If not, explain why not.
No because it take 100 days for then to be at the same amount.
Write an equation in slope intercept form for a line that goes through (-2, 19) and (5, -30)