Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
System of polynomial equations wikipedia , lookup
Signal-flow graph wikipedia , lookup
System of linear equations wikipedia , lookup
Quartic function wikipedia , lookup
Cubic function wikipedia , lookup
History of algebra wikipedia , lookup
Quadratic equation wikipedia , lookup
AR6 Unit 8 Understanding and Solving Equations – REVIEW 1. Mr. Bower shops on Amazon. However, he is also charged a shipping fee, along with the price of whatever item he wants to purchase. He decides he wants to buy a bunch of Math workbooks that cost $10 each. It will cost $6 to ship them. Mr. Bower’s total bill is $66. Write an equation to represent this situation. Equation: __________________________________ How many Math Workbooks did Mr. Bower purchase? Answer: __________ 2. Solve the equation for m: Answer: __________ 3. What is the value for p in the following equation? Answer: __________ -3(m + 5) = 30 1.4 + 2p = 13.8 4. Mrs. Boston has put aside $22 from her paycheck last week. She is dying to have those cute pink-polka-dotted pumps that are in the window at Lord & Taylor’s, but they are an expensive $95. Then, she gets a coupon in the mail that bring the cost of the shoes down to $55. Write an equation to determine the amount of money Mrs. Boston still needs to purchase the shoes. Equation: __________________________________ How much money does Mrs. Boston still need? Answer: __________ 5. Brooke wrote the expression 4(w + 3). Andrew said he could write an equivalent expression without using any parenthesis. What expression did Andrew write? Andrew’s Expression: _________________________________ Explain how both expressions are equivalent: ___________________________________________________________________________________ ___________________________________________________________________________________ ___________________________________________________________________________________ ___________________________________________________________________________________ 6. Create a table of values for x and y using the slope-intercept form equation, y = mx + b. - for the value of m, choose an integer > 2 - for the value of b, choose and integer > 3 - your table should include 4 values each for x and y x 7. y Use the commutative property of addition to re-write the equation 11 + 14 = 25. Answer: _________________ What does the commutative property of addition state? ______________________________ 8. The bell rings. Class is over! At 1 second, Ezra is 15 feet away from the door. At 3 seconds, he is 5 feet away from the door. Fill in the x, y chart below to assist you in answering: Ezra’s rate of change is: ________________________ At two seconds, Ezra is __________ feet away from the door. x (sec) y (feet) 9. 10. The table below represents the relationship between the number of Dunkin’ Donuts bought and how much they cost. Which equation correctly states the relationship between x and y ? (A.) y = x – 1.1 (B.) y = x + 1.1 x (C.) y= (D.) y = 1.1x 1.1 Cost (y ) 1 1.10 3 3.30 5 5.50 7 7.70 Solve the following equation: 12 = 4 + 11. Donuts (x ) 1 x 4 The formula for finding the sum of the interior angles of a polygon is 180(n – 2), where n is the number of sides the polygon has. What is the sum of the interior angles of: - A square? _________________________ - A pentagon? _________________________ - A hexagon? _________________________ - A septagon? _________________________ - An octagon? _________________________ 12. Mrs. Garman is signing her little boy, Finn, up for summer camp. There is a registration fee of $60.00 and then a cost of $30.00 per week. Mrs. Garman has saved $660 for summer camp. How many weeks of summer camp can Mrs. Garman afford? _____________________ Mrs. Garman sees that the camp is running a special in the month of May. She will not have to pay the registration fee if she signs up during that month. Now, how many months will she be able to send Finn to camp? Answer: _____________________ 13. Mr. Bower graphed several points of the equation y = 3x – 2 on the graph below. He plans to graph the point (3, _____ ) next. What number should go in the blank? y Use the same equation to graph the ordered pair (-1, ______ ) 10 9 8 7 6 5 4 3 2 1 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 2 3 4 5 6 7 8 9 10 11 x