STUDY GUIDESTUDY GUIDESTUDY GUIDESTUDY GUIDE

Name: ______Date: ______

CCGPS Coordinate Algebra: Unit 1 – Relationships between Quantities

SHOW ALL WORK NECCESSARY!!! NO WORK = NO CREDIT!!!

  1. If you were to measure the volume of an ice cube in your freezer, what would be the reasonable unit to use?

a)Cubic feet

b)Cubic miles

c)Square feet

d)Cubic inches

  1. Given: , how many terms are there? ______
  1. Given: , 5is a ______in the expression.
  1. Given: , x is a ______in the expression.
  1. Convert 10 miles to feet.
  1. Convert 75 miles per hour to feet per minute.
  1. The formula for timetis where dis distance and ris rate. If distance is measured in miles and rate is measured in miles per hour, what is the unit rate for time?
  1. A rectangle has an area of 350cm and a width of 50 cm. What is the length of therectangle? (The formula for the area of a rectangle is A = LW).
  1. Mrs. Bailey traveled 108 miles to Columbus, Georgia. It takes her 2 hours of traveling time. The formula can be used to calculate her average speed. If dis the distance she traveled in miles andtis the time in hours, what is the unit of the rate she is traveled, r ? What was her average speed?
  1. The sum of the measures of the interior angles in a triangle is 180°. Two angles of a triangle measure 30°and 55°. What is the measure of the third angle?
  1. Given the equation P = 2l + 2w,solve for l.
  1. Mr. Fishback owns a business that produces pipe fittings. He must bring in more in revenue than he pays out in costs in order to turn a profit.
  • It costs $15 in labor and materials to make each of his pipe fittings.
  • His rent each month for his factory is $4200.
  • He sells each pipe fittings for $30.

How many pipe fittings does Mr. Fishback need to sell each month to make the minimum profit?

FREE RESPONSE

  1. Identify the coefficients and terms in the following expression: 5x + 8y.
  1. Consider the algebraic expression .

List the terms of the expression: ______

List the coefficients: ______

List the variables: ______

List the constants: ______

  1. What is the difference between 3x and x3?
  1. Write each of the following as a verbal expression:
  1. 5(n+2)______
  2. 5n + 3______
  3. n2 + 5______
  4. (5n)2______
  5. 5n2______
  1. Jane sold the same amount of plain T-shirts and Xbox 360’s out of her store yesterday. The following two formulas can be used to calculate how much money Jane earned from selling plain T-shirts and Xbox 360’s.

C1 =10xC2 = 300x

a) Which formula represents the amount she made from selling T-shirts, and which one represents the amount she made from selling Xbox 360’s? Explain your answer.

b) If she also sold the same amount of candy bars as she did T-shirts and Xbox 360’s, what would you expect the coefficient to be in a formula for the amount she made selling candy bars? Explain your answer.

  1. The sum of the measures of the interior angles in a triangle is 180°. Two angles of a triangle measure 25° and 75°. What is the measure of the third angle?

a. Write an equation that can be used to solve the problem.

b. Use the equation you provided in part (a) to find the measure of the third angle.

  1. The angles of a triangle measure x°, 3x°, and 8x°. Solve for x. (Use the information given in #16)
  1. Solve the equation P= Rl2 for R.
  1. Given: A = 2w2 + 4h

a. Solve for h

b. Solve for w

  1. The city of Smyrna has a flea population that has been doubling every year. If there are about 100,200 fleas this year, how many will there be 3 years from now?
  1. You are going to the street fair where they are selling snacks for $1.00 and sodas for $2.00. You and your friends have $16.50 altogether. Write an inequality that represents the possible number of snacksand sodas that yourgroup can buy.

Follow Up Questions:

a) What are the constraints of this word problem?

b) If the graph represents the inequality,

list 2 possible solutions

c) List 2 possible non solutions