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Translate the words into a mathematical equation and then solve:

Use x for your variable.

The quotient of four less than a number and seven is ten.

Equation-

X=

There are 45 mg of cholesterol in 2 ounces of egg substitute. How many mg of cholesterol are there in 3 ounces of egg substitute? Include in your solution a variable with its definition and a proportion to be solved.

Which of the following ordered pairs are a solution to the equation y=-x+1

(-1,4)

(3,-2)

(-5,6)

(-6,4)

How would you set up and solve this problem ?

1.)13.55mm =_______cm (given 10 mm = 1 cm)

The local State University has a ratio of 5 professors to every 91 students. There are 12,285 students at State University.

What is the number of professors at State University?

While planning a hiking trip, you examine a map of the trail you are going on hike. The scale on the map shows that 2 inches represents 3 miles.

If the trail measures 6 inches on the map, how long is the trail?

A.)6 Miles

B.)18 miles

C.)36 miles

D.)9 miles

The local State University has a ratio of 5 professors to every 98 students. There are 13,230 students at State University.

Which is the number of professors at State University?

A.)140

B.)2646

C.)135

D.)675

To determine the number of deer in a forest, a naturalist catches, tags, and releases 70 deer. Later, 90 deer are caught, and 63 have tags. Estimate the number of deer in the forest.

Answer:_________deer

Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the Ethiopian blend with the Gualtemala Antigua blend, but always in the same proportion. Yesterday, you mixed 100 pounds of the Ethiopian blend with 60 pounds of the Gualtemala Antigua blend. Today, there is 60 pounds of the Ethiopian coffee left in stock. How many pounds of the Gualtemala Antigua coffee should you mix with it to get your secret blend?

Answer:_______pounds

Part 1 : solve the equation

3(2x-9)=-4x+3

Part2: check your answer by plugging into the original equation and evaluating both sides step by step

Part 1:The perimeter of a rectangular piece of land is 180 meters. If the length of the rectangle is 36 meters then what is the width of the rectangle?

Part 2: what if instead it is know that the length is 36 meters more than the width? What are the length and the width ?

Fill in the blank with a word or short phrase to give the same meaning as “ six less than twice a number” : Twice a number_______six

Write the following using an inequality symbol. Use x as the variable.

The length is at least 2 inches

First define a variable then write an eqution to model the situation and then solve it to answer the question

The perimeter of a rectangular piece of land is 180 meters. If the length of the rectangle is 36 meters then what is the width of the rectangle?

On his first three tests, Tyler scored 85, 90, and 97. What score must he get on his fourth test to have an average (mean) of 80 for all four tests?

Chris recently hired an electrician to do some necessary work. On the final bill, Chris was charged a total of $1100. $245 was listed for parts and the rest for labor. If the hourly rate for labor was $45, how many hours of labor was needed to complete the job?

(A) First write an equation you can use to answer this question. Use x as your variable.

Equation =

(B) Solve your equation in part (A) to find the number of labor hours needed to do the job.

Answer: The number of labor hours was

A wire 37 cm long is cut into two pieces. The longer piece is 7 cm longer than the shorter piece.

Find the length of the shorter piece of wire

An executive in an engineering firm earns a monthly salary plus a Christmas bonus of 7200 dollars. If she earns a total of 82700 dollars per year, what is her monthly salary in dollars?

Give your answer to the nearest cent.