Download AR6 Unit 8 REVIEW Understanding and Solving Equations

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