CCGPS Coordinate Algebra. EOCT Review Units 1 and 2. Unit 1: Relationships Among Quantities. Key Ideas. Unit Conversions. A quantity is a an exact amount or measurement. A quantity can be exact or approximate depending on the level of accuracy required. Ex 1: Convert 5 miles to feet.
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CCGPS Coordinate Algebra
Units 1 and 2
Unit 1: Relationships Among Quantities
There are situations when the units in an answer tell us if the answer is wrong.
For example, if the question called for weight and the answer is given in cubic feet, we know the answer cannot be correct.
where m is mass and v is volume.
If mass is measured in kilogramsand volume is measured in cubic meters, what is the unit rate for density?
Example 6:The Jones family has twice as many tomato plants as pepper plants. If there are 21 plants in their garden, how many plants are pepper plants?
Example 8:A rectangle is 7 cm longer than it is wide. Its perimeter is at least 58 cm. What are the smallestpossible dimensions for the rectangle?
Enzois celebrating his birthday and his mom gave him $50 to take his friends out to celebrate. He decided he was going to buy appetizers and desserts for everyone. It cost 5 dollars per dessert and 10 dollars per appetizer. Enzo is wondering what kind of combinations he can buy for his friends.
a) Write an equation using 2 variables to represent Enzo’s purchasing decision.
(Let a = number of appetizers and d = number of desserts.)
b) Use your equation to figure out how many desserts Enzo can get if he buys 4 appetizers.
c) How many appetizers can Enzo buy if he buys 6 desserts?
Ryan bought a car for $20,000 that depreciates at 12% per year. His car is 6 years old. How much is it worth now?
Unit 2: Solving Systems of Equations
Solve the equation 8(x + 2) = 2(y + 4) for y.
Karla wants to save up for a prom dress.
She figures she can save $9 each week from the money she earns babysitting.
If she plans to spend up to $150 for the dress, how many weeks will it take her to save enough money?
You sold 52 boxes of candy for a fundraiser. The large size box sold for $3.50 each and the small size box sold for $1.75 each. If you raised $112.00, how many boxes of each size did you sell?
A. 40 large, 12 small
B. 12 large, 40 small
C. 28 large, 24 small
D. 24 large, 28 small
You sold 61 orders of frozen pizza for a fundraiser. The large size sold for $12 each and the small size sold for $9 each. If you raised $660.00, how many of each size did you sell?
A. 24 large, 37 small
B. 27 large, 34 small
C. 34 large, 27 small
D. 37 large, 24 small
Which equation corresponds to the graph shown?
A. y = x + 1
B. y = 2x + 1
C. y = x – 2
D. y = -3x – 2
Which graph would represent a system of linear equations that has no common coordinate pairs?
Unit 1 & 2 Practice Problems from the GA Study Guide