Test 3 Practice. 1) Solve the following equations. A)! " #$"% 24) = + ( x) Date Class

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1 Test 3 Practice Name 1) Solve the following equations. A)! " #$"% 24) = + ( x)!!, Date Class B) $ (32 40x) 5x = 11 ( x) + 9, C) 2(5x 7) + 15 = 2(4 8x) + 7

2 2) Write an algebraic equation for the following: a) the difference of twice number and negative two b) one less the quotient of a number and fourteen 3) Find the unit cost to the nearest cent. Include the units in your answer! a) 12 books for $80 b) 100 nails for $5.78 c) 20 hair ties for $2.89 Directions: A) Write proportions for the following problems. The proportions need to be ones that give the result to the question asked. (For example, if the question asks for the sale price, write a proportion whose solution would be the sale price.) B) Solve all of the proportions you wrote. Round money answers to the nearest cent and the rest to the nearest hundredth, if applicable. Word problem Proportion Solution to Proportion 4) Charlie gets 6% commission on his sales. He sold $25,000 worth of items in November. What amount did he make in commission? 5) Lara wanted to buy a new puppy. The store price for the puppy was $199 but there was a holiday sale for 15% off the usual price. What was the cost of the puppy during the sale? 6) Marc learned to sing a total of 5 songs over the course of 2 weeks of voice lessons. Assuming Marc is able to keep up that pace, how many songs will he have learned after 7 weeks of voice lessons? 7) On average, Quinlyn used 2 9 ft of : ribbon for each holiday present she wrapped. How many presents did she wrap if she used 20 9 ft of ribbon in : all?

3 8) Convert the following metric measurements as indicated: a) 7.6 m = mm b) 320,000 dl = hl c) 900 cg = kg Directions: Use dimensional analysis to convert the units in problems #9-10. Use the conversion factors in the table below to help you. Time Distance Capacity 1 foot (ft) = 12 inches 1 yard (yd) = 3 feet 1 yard = 36 inches 1 mile (mi) = 5280 feet 1 in. = 2.54 cm 1 gallon (gal) = 16 cups 1 minute(min) = 60 seconds (s or sec) 1 hour (h or hr) = 60 minutes 1 day = 24 hours 1 week = 7 days 1 (common year) = 365 days 1 tablespoon (T or tbsp) = 3 teaspoons (t. or tsp) 1 fluid ounce (fl. oz)= 2 T 1 cup (c.) = 8 fl. ounces 1 gallon 3.79 L 9) You would like to re-carpet your bedroom. Your bedroom is 144 square feet (ft = ) in area. The carpet you like is $46 per square meter. How much will it cost you to re-carpet your room in the carpet you like? 10) You earn $11.50/hour. You work 20 hours every week. How much will you make after 364 days pass? Directions: Name the property. 11) (9 + 3) + 5 = (3 + 9) + 5) 12) 12x 8 = x 13) " " = 1 14) 4ab = 4(ab)

4 15) Solve and graph the following inequalities: a) Solve: 8 > 12 6x Graph: b) Solve: 12.2x x 4.5 Graph: Now, for problem 15b, pick a number in the solution set and, check it by plugging it into the original inequality, showing that it is in the solution set. Number in the solution set that you are checking Check. (Don t forget to rewrite the inequality as it was given first.):

5 Directions: For each linear relationship, make a table with at least 4 pairs of numbers in it. Define the x and y values and then write a linear equation (using x and y) for each relationship. 16) Mackenna decided to bake a very large batch of double chocolate chocolate-chip cookies. She needed to quadruple her recipe. Help her to write an equation to find the new amount she needed of each ingredient. 17) Maren scores 2 goals during every soccer game in which she plays. Write an equation that will help her calculate how many goals she has scored if she knows how many games in which she has played. 18) It takes Leon 20 minutes to restring the head of a lacrosse stick. Write an equation to help calculate the time it would take to restring all of the lacrosse sticks for his whole team (of unknown size). Directions: Find the slope and y-intercept from the following linear tables. Write a linear equation for the line that intersects the given points. Then, fill in the rest of the missing values in the table x y slope: y-intercept: equation:

6 x y slope: y-intercept: equation: Create a table for the following linear equation and then graph the line (by graphing each point in the table and connecting them): y = 4x + 8 x y