6.EE Diagnostic Test 1. (4 + 3)2 – 6 A. 43 B. 138 C. 19 D. 76 2. Evaluate. 34 = ______________ 3. Write in exponential form. 144 = _____ 4. Write an expression for the following. b. the product of 4 and y ___________________________________ 5. Andrew has $20 to purchase candy bars. If each candy bar cost $1.50, how many candy bars can Andrew purchase. With c representing the number of candy bars, write and evaluate the expression. 6. Evaluate the expression when given the value of the variable. (Show your work) a. 20 − 2x when x = 3 7. Simplify the expression. b. 2 • x • 3 • x • 4 ___________________________________ 8.Are 45 + 27y and 9(5 + 2y) equivalent expressions? Circle the correct answer Yes No 9. Which of …show more content…
the following expressions is equivalent to the expression 3x-6y? A.
3(x + 2y) B. 3x (1 + 2y) C. 3(x - 2y) D. 6 (1.5x + y) 10. Simplify the equation. 3x²-x2 + 6x-30-3x = _________________________ 11. John bought tennis shoes for $50, a shirt for $25, and a pair of jeans for $40. Use the Associative Property to write two equivalent expressions to represent the total cost. Then find the total cost of John’s purchase. 12. If d = 3 + e, and e = 4, what is the value of (20 - d) + e …show more content…
? 13. Circle the equation(s) where a = 3 is a solution. Select all that apply. 4 + 3a = 12 2a + 4 = 10 5a + 5 = 30 6a + 3 = 20 14.
Choose the correct equivalent inequality for the graph above. A. x < -3 B. x > -3 C. x > -3 D. x < -3 15. Use distributive property to multiply the expression. a. 6(2y + 4) = ________________________________ 16. A water park charges a $20.00 entrance fee and $1.50 per ticket. If t(ticket) = 4, How much does a trip to the park cost? (Show your work). Answer:______________ 17. Beach sandals are on sale for $2 a pair. Josey wants to buy a pair for all of her friends. She can spend at most $45. How many pairs of sandals can Josey buy? Write an inequality to best fits the problem. Then solve the inequality to find the number of pairs of sandals. 18. Middle school student received $95 in all for selling candy. He sold the first box for $20, and the remaining boxes for $15 each. Solve the equation below to find p. 15p + 20 = 95 Check your answer: 19. Michael has c cds. He bought 22 more cds. Write the expression that shows how many cds Michael has now. 20. Kerry has 40 pairs of jeans. Lanee has j more jeans than Kerry. Choose the expression that shows how many dolls Lanee has. A. 40j + j B. 40 + j C. 40/j + j D. 40- j Solve the Inequality. 21. 10 > | 4 +
6x| 22. Hannah is selling dresses and dolls. The dresses cost $10 and the flowers cost $5. She needs to make at least $200. Write an inequality that represents Hannah’s situation. 23. The graph above shows the number of basketballs Jerry bought and the amount of money Jerry spent. Choose the correct equation for the graph above. A. a = 20b B. a = 30b C. a/20= b D. b/30 = a 24. Using the following equation y = 20x+ 4 and complete the table x y 3 64 4 84 5 104 6 _____ 7 144 25. Determine the equation that matches this function table: x y 2 4 4 10 6 16 _______________________________________
To satisfy this inequality (1) simultaneously, we have to find the value of C1,C2 and ,n0 using the following inequality
Aldo shipped 10 refrigerators to Rafael pursuant to a sales contract under which title to the goods and risk of loss would pass to Rafael upon delivery to Fleet Railroad. The agreed price was $5,000. When the refrigerators were delivered to Rafael, he found they were damaged. An estimate for repairing them showed it would cost up to $1,000, and an expert opinion was to the effect that they were defective when shipped. Rafael put in a claim to Aldo, which Aldo rejected. Rafael then wrote to Aldo, “I don’t like to get into a despite of this nature. I am enclosing my check for $4,000 in full payment of the shipment.” Aldo did not reply, but he cashed the check and then sued Rafael for the $1,000 balance. May he recover? Explain.
However, Moncrief Company has the opportunity to purchase an additional 20,000 units for $10 more per unit before year-end. If Moncrief decides to make the additional purchase, then Jim will only receive $170,000 due to an increase in
Since the carnival would be closed Christmas Eve, Emily invited the boys and Edward C. to her house for cocoa and molasses cookies. Jubilantly, Her invitation was accept. Immediately, ideas for presents to give Emily were devised. Joey believed a box of candy was suitable for this occasion, but Josh wanted to offer something more feminine. At one of the concession stands, bottles of perfume were being sold, and Josh wanted to purchase one for Emily. However, Edward C., being a very practical man, decided it would be best that he, Josh, and Joey each give ten dimes, tied in a brightly colored box, that Emily could use for a practical
Hugh recently purchased a motorcycle for $4,000 but has had extensive problems starting the motor. In disgust at not being able to start the motorcycle, Hugh shouts to his friends, "Any of you want to buy this thing for $20?" A contract will be formed if a friend gives Hugh a twenty-dollar bill.
a. Total raw sugar shipped from each supplier to each refinery must be less than or equal to the amount available to ship
4. The cost of mining and reclaiming my land (labor, etc.) was $2.00/minute. Both mining and reclamation were timed.
The father decided that by the fourth inning it would be a good time to have a hot dog and a soda. In which its $3.50 for a hot dog and $4.00 for a soda. The family of four to have a hotdog and a soda each cost $30.00. As the game goes on and the Yankees are winning by 3 against the Diamondbacks.
...ply. Each night, an additional two boxes of cookies could be baked, implying an additional 2×$5.35 in revenue, for an additional cost of 2×$.70. The resulting nightly additional profit would then be $9.30. A monthly rental should therefore not exceed 30×$9.30=$297, and the difference between the additional profit and the rental would contribute to the total profit of the operation.
The sales director proposed that if the firm were to reduce the price of Item 345 to FF15.00/m, they would be able to increase sales to 175,000 units (or 25% of industry volume). But if they were to keep the price at the current value of FF20.00/m, they would be able to sell not less than 75,000 units (or 11% of industry volume).
program for analysis. Each correct answer on the form was given a value of 10
ii. A company borrows £2,000,000 in 1998, with a fixed interest rate of 8%, payable annually for a 5 year period.
((((Within a week, the price of oranges decreased by 40 cents. On Monday, February the 17th, the price of oranges was $1.67 per pound. One day later, the price of oranges increased by 20 cents. This happened because there was a greater demand for oranges in the area. Two days later, the price of oranges decreased by 60 cents. A surplus in oranges would lower the price. This happened because the oranges were nearing expiration, or massive amounts of oranges were sent. For the rest of the week, a price of $1.27 was maintained.
2) After applying successive discounts of 10% and 5% on an article, it was sold at Rs. 513. Find the marked price of the article.
A car sales representative sold 5 cars amounting as follows: Php550,000, Php875,000, Php475,000, Php665,000, Php1,680,000. Find the range.