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CCGPS Coordinate Algebra Name:____________________________________

Unit 1 Review Date:________________________ Block:________

Relationships between Quantities Unit Review

|What you need to know & be |Things to remember |Examples |

|able to do… | | |

|Identify parts of an |-Coefficients are the numbers in |1. List the variable(s) in the expression. |2. List the coefficient(s) in the expression. |

|algebraic expression. |front of the variables. | | |

| |-Variables are the letters in an |[pic] |[pic] |

| |expression. | | |

| |-Constants are “plain” numbers. | | |

|Write algebraic expressions.|Algebraic expressions DO NOT |3. one-third of the quantity 3 more than x |4. Write an expression to model the following |

| |contain equality or inequality | |phrase: the price of a meal plus a 15% tip for the |

| |symbols. | |meal. |

| | |5. Alex purchased a 6-hour calling card. He |6. It costs $75 per hour plus a $65 service fee to |

| | |has used t minutes of access time. Write an |have a home theater system set up for you. Let t |

| | |algebraic expression to represent how many |represent the number of hours. Write an expression |

| | |minutes he has remaining and the units for the|that represents the total cost. |

| | |expression. | |

|Solve an equation. |Use INVERSE operations! |7. Solve for x: |8. Solve for b: |

| | | | |

| |*ALWAYS plug your answer back in |[pic] |[pic] |

| |to check your work. | | |

| | |9. Solve for r: |10. Solve for x: |

| | | | |

| | |[pic] |[pic] |

|Solve an inequality. |Use INVERSE operations! |11. Solve for y: |12. Solve for k: |

| | | | |

| |“Flip” the inequality sign when |[pic] |[pic] |

| |you multiply or divide by a | | |

| |negative. | | |

| | | | |

| | |13. Solve for x: |14. Solve for z: |

| | | | |

| | |[pic] |[pic] |

|Isolate a variable. |“Get the variable by itself”! |19. [pic]; Solve for x. |20. [pic]; Solve for C. |

| | | | |

| | | | |

| | | | |

|Use formulas that have been |“Get the variable by itself”! |21. [pic]; Solve for h. |22. Using your equation from question 21. Find the |

|solved for an indicated | | |height of a rectangular prism with a volume of 80 |

|variable. |Substitute the given values into | |in3, a length of 4 and a width of 2. |

| |your new equation. | | |

|Create and solve an |Define your variable FIRST! |23. Tia spent $15 on skating. This included |24. Find three consecutive integers whose sum is |

|equation. | |a $5 charge for renting skates and a $2.50 per|381. |

| |Make sure that your answer is |hour fee for skating. Determine the number of| |

| |“reasonable”. |hours that Tia spent skating. | |

| | | | |

|Create and solve an |Define your variable FIRST! |25. Your quiz grades are 78, 68, 71, 85 and |26 It cost $5 to have a tote bag monogrammed with up|

|inequality. | |90. What score on the sixth quiz will make |to 12 letters and $0.50 for each additional letter. |

| |Make sure that your answer is |your average quiz grade at least 80? |A club has a budget of $8.00 maximum per tote bag. |

| |“reasonable”. | |What is the maximum number of additional letters that|

| | | |the club can have monogrammed on a tote bag? |

|Perform conversions using |Always start with what you’re |27. A small herd of cattle consumes fourteen |28. How many miles will a person run during a 10 |

|dimensional analysis. |given. |bales of hay in two weeks. How many bales will|kilometer race? |

| | |this herd consume in a year? | |

| |Make a “plan” for the conversions | | |

| |that you need to do. | | |

| | |29. Convert 65 mph to feet per minute. |30,Convert 4 years into minutes. |

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