Test 3 Practice 2. ( x) + 9 (give proper fraction or mixed number answer)

Transcription

1 Test 3 Practice 2 Name 1) Solve the following equations. A) 12 # $% 3) = + ( x) &,- Date Class B) 7 (22 + 4x) 6x = 7% + ( x) + 9 (give proper fraction or mixed number answer) C) 3(9 4x) + 17 % + = 5 (2 8x) x

2 2) Write an algebraic equation for the following: a) the difference of one-third of a number and negative one b) six less than the product of a number and seven 3) Find the unit cost to the nearest cent. Include the units in your answer! a) 4 rolls of toilet paper for $0.98 b) 6 rolls of paper towel for $5.49 c) 12 rolls of paper towel for $10.40 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) Drew took his dog out to dinner at a fancy doggie restaurant. The dinner cost was $87. He had to pay a mandatory 18% tip on the meal. What amount did he have to pay for the meal and the tip together? 5) Julia wanted to buy some new rock climbing gear. The store price for the gear was $235 but there was a holiday sale for 15% off the usual price. What was the cost of the rock climbing gear during the sale? 6) Mackey likes to write code. He usually writes 80 lines of code every half hour he works on it. Assuming Mackey is able to keep up that pace, how long will it take him to write 436 lines of code? Find the answer in minutes.

3 7) Audrey bought a pair of glittery boots for $562. She had to pay a 9.6% tax on them. What was the final cost of the boots after tax? 8) Audrey hired a taxi to get home after she bought her glittery boots. The taxi ride cost $26. Audrey decided to give the driver a 30% tip because the glitter got all over the backseat. What was the amount of the tip Audrey left? 9) Larry, the taxi driver, had to pay $162 for a full car cleaning service after some irksome little girl got glitter all over his car. He refused to give the suggested 8.9% tip because he was so angry. How much money did Larry save by not giving a tip? 10) Larry had to raise his rates for damage done to his car. Instead of charging $0.30/tenth of a mile, he now charges $0.35/tenth of a mile. What percent increase is this? 11) Convert the following metric measurements as indicated: a) 283,000 m = hm b) dl = 92hL c) 78 cg = dag Directions: Use dimensional analysis to convert the units in problems # 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 1 cubic foot 7.48 gallons

4 12) For general reference, we can say that one astronomical unit (AU) represents the mean distance between the Earth and our sun. An AU is approximately 93 million miles. Currently Voyager 1 is 145 AU from Earth. How many miles is the Voyager 1 from Earth? 13) For general reference, we can say that one astronomical unit (AU) represents the mean distance between the Earth and our sun. An AU is approximately 93 million miles. How many kilometers is one AU? 14) You order a large, 12 foot in diameter, blow up beach ball to play with in your back yard. It has a volume of 905 cubic feet. It's made of thick, durable 30 millimeter vinyl with reinforced seams. You buy an electric air pump that fills the ball at a rate of 600 L per minute. How long will it take you to fill this enormous beach ball? Directions: Name the property. 15) (9x 4) = 9x ) m + 0 = m 17) 11x + 9 = 9 11x 18) 9x = 17à, < 9x = 17, < Directions: Apply the given property to the given expression. 19) Identity Property of Multiplication: 5 = 20) Associative Property of Addition: (11x + 8) + 12 = 21) Inverse Property of Multiplication:. 4 + $ = 22) Commutative Property of Addition: 19 x =

5 23) Solve and graph the following two inequalities: a) Solve: 10 > x Graph: b) Solve: 4x 7 > 12x + 7 Graph: c) Just solve this one: 11.9x x 4.5 (try writing answer in non-rounded decimal form)

6 Now, for problem 23b, 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.): 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. 24) It takes Lauren 20 minutes to write three thank you notes. Help her to write an equation to find out how long it will take to write any number of thank you notes. 25) Bodhi writes 2 jokes every day. Write an equation that will help calculate how many jokes he has written given the number of days he has written jokes. 26) It takes Lucy 20 minutes to walk to school. Write an equation that will help calculate how many minutes has she spent walking to school given the number of days she has walked to school.

7 27) 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: x y slope: y-intercept: equation: x y slope: y-intercept: equation:

8 28) Create a table for the following linear equation and then graph the line (by graphing each point in the table and connecting them): y = 3x 9 x y