Transcript Unit 4 Summative Assessment Tomorrow

1. Taina drew a square and a parallelogram.

The square has a side length of 9.5 centimeters.

The perimeter of the square is the same as the perimeter of the parallelogram.
The parallelogram and one of its dimensions are shown below.
The perimeter of the square is
38 centimeters (9.5 ∙ 4).
2x + 20 = 38
-20 -20
2x = 18
𝟐𝒙 𝟏𝟖
=
𝟐
𝟐
x=9
What is the value of x?
A.
28
B.
19
C.
38
D.
9
2. Given that b = 4 and c = -1, Donovan evaluates the following
expression:
2b2 – 4bc
2 – 4bc
2
b
His work is shown below.
2 ∙ 42 – 4 ∙ 4 ∙ (-1)
(2●4)2 – 4●4●(-1)
82 – (-16)
2 ∙ 16 - 4 ∙ 4 ∙ (-1)
64 – (-16)
32 - -16
48
32 + 16
48
Analyze the steps to Donovan’s problem solving and revise the steps
in order to correctly evaluate the expression.
Show each step used to arrive at the correct value for the
expression.
Write this sentence as an algebraic equation.
3. Six more than the product of q and 9 equals 17.
A.
9 + 6q = 17
B.
17 + 9q = 6
C.
6 + 9q = 17
D.
17 + 6q = 9
4. Represent this sentence as an algebraic equation
and then calculate the value of the variable in the
equation.
Eight less than 5 times a number equals 52
5y – 8 = 52
5. Jasmine purchased a Xbox One S for $240. She also purchased 4 games. The
total cost of the Xbox and the games was $400. Jasmine’s purchase is represented
by the equation below. In the equation, g stands for the cost of each game.
4g+ 240 = 400
Part A: What does the variable g represent in Jasmine’s equation?
The g represents the cost of one game.
Part B: Utilize Jasmine’s equation to calculate the cost of each game.
4g + 180 = 400
-180 -180
4g = 220
=
g = 55
Each game costs $55.
6. A package contains 24 batteries. Which of the
following expressions represents the total number of
batteries that are contained in p packages?
A. p - 24
B. p + 24
C. p ÷ 24
D. p × 24
7. Evaluate the inequality. SHOW EACH OF YOUR STEPS
and then check your solution and then graph the result.
8y + 11  83
-11 -11
8y ≤ 72
𝟖𝒚
𝟕𝟐
≤
𝟖
𝟖
y ≤9
Part B: Graph the solution.
–14 –13 –12 –11 –10 –9
–8
–7
–6
–5
–4
–3
–2
–1
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Part C: Prove that y = 6 is a solution to the given
inequality.
8y + 11  83
8(6) + 11 ≤ 83
48 + 11 ≤ 83
59 ≤ 83
Since 59 is less than 83, 6 is a solution.
8. Calculate the value of b so that it makes the
equation below true.
7b – 6 = 36
+6 +6
7b = 42
𝟕𝒃
𝟕
=
𝟒𝟐
𝟕
b=6
9. Which of the following statements describes a correct method for
solving the equation below?
45 + 3m = 90
A. Add 45 to both sides of the equation, and then divide both sides by 3.
B. Subtract 45 from both sides of the equation, and then divide both
sides by 3.
C. Divide both sides of the equation by 3, and then add 90 to both sides.
D. Add 90 to both sides of the equation, and then divide both sides by 3.
E. Divide both sides of the equation by 3, and then subtract 90 from
both sides.
10. The price of each ticket to the zoo is $25.
Part A: Formulate an expression which represents the price of t tickets
to the zoo.
25t
Part B: Utilize the expression formulated in part A to create an
equation which would allow you to determine how many tickets would
need to be sold for the zoo to make $900.
25t = 900
𝟐𝟓𝒕
𝟗𝟎𝟎
=
𝟐𝟓
𝟐𝟓
t = 36
The zoo would need to sell 36
tickets to make $900.
11. The cost of using Terminus cell phone service is a one-time
fee of $49 plus a monthly fee of $15. The expression below
represents the total cost of using this service for m months.
49 + 15m
Evaluate the total cost of using Terminus cell phone service
for 8 months.
49 + 15m
49 + 15(8)
49 + 120
169
The cost of using Terminus cell phone service for 8
months would be $169.
12. Michonne wrote the equation shown below.
6k + 12 = 36
Part A: Create an equation that is equivalent to the one Michonne
created.
6k = 24 or k + 2 = 6 or k = 4
Part B: Determine the value of k.
k=4
13. A tailor charges different prices for sewing letters and numbers
on a jacket. The expression below shows the cost, in dollars, for
sewing x numbers and y letters.
What is the cost for sewing 2 numbers and 12 letters on a jacket?
1.5x + 0.75y
1.5(2) + 0.75(12)
3.00 + 9.00
12.00
It would cost $12 to have 2 numbers and letters
sewn on a jacket.
14. Tyreese’s book has 517 pages. Sasha’s book has f
more pages than Tyreese’s book.
Formulate an expression that could represent the
number of pages in Sasha’s book.
517 + f
15. Rick has $8 in nickels. The equation below can be used to solve
for n, the number of nickels Rick has.
0.05n = 8
Which of the following describes a way to solve for n in one step?
A.
add 0.05 to both sides
B.
C.
multiply both sides by 0.05 D.
divide both sides by 0.05
subtract 0.05 from both sides
16. Maggie practiced archery 5 hours less than three times
as many hours as Glen practiced. Let h represent the
number of hours that Glen practiced. Which of the
following expressions represents the number of hours that
Maggie practiced?
A. 3h - 5
B.
3 – 5h
C. 5h – 3
D.
5 – 3h
17. Abraham hired a soccer coach to improve his weak soccer skills.
The coach charged $30 per hour plus $55 for the equipment. If
Abraham paid $325, how many hours did the coach help Abraham?
Part A: Formulate an equation to represent this situation.
30h + 55 = 325
Part B: Using the equation created in Part A, solve the equation to
figure out how many hours Abraham was being coached.
30h + 55 = 325
-55 -55
30h = 270
𝟑𝟎𝒉
𝟐𝟕𝟎
=
𝟑𝟎
𝟑𝟎
h=9
Abraham was coached for 9 hours.
18. The table below shows the cost of renting a bicycle at Woodbury
Bike & Blade for different numbers of hours.
Numbers of Hours
1
2
3
4
Cost
$11
$14
$17
$20
Part A: Analyze the data in the table to determine which
statement correctly represents the cost of renting a bicycle.
A.
B.
C.
D.
E.
The cost is $7.00 per hour.
The cost is $11.00 per hour.
The cost is $6.20 per hour.
The cost is a one-time fee of $3 plus $8 per hour.
The cost is a one-time fee of $8 plus $3 per hour.
Part B: Judith has $25. She says that she can rent a bicycle for 5 ½
hours. Critique Judith’s statement. IF, her statement is inaccurate,
create an accurate statement .
Cost = 3h + 8
3(5) + 8
()+8
+8
16 + 8
24
Judith’s statement is accurate. She
can rent a bicycle for 5½ hours.
19. A polygon and expressions representing its dimensions, in
meters, are shown below.
Part A: Suppose the perimeter of the polygon is 25 meters. Construct
an equation that would allow you to calculate the value of x.
2x + 3x + (x + 5) + (5 – x) = 25
5x + 10 = 25
Part B: Apply the equation you created in Part A to determine
the value of x.
5x + 10 = 25
-10 -10
5x = 15
𝟓𝒙
𝟏𝟓
=
𝟓
𝟓
x=3
20. Carl scored a 75, 97, 92, and 85 on his first four math tests. His
parents will only allow him to have a birthday party if he has a total of
at least 435 points.
Part A: Assuming that the perfect score is 100, generate an inequality
to show what score Carl must get on his fifth test to have at least 435
points.
75 + 97 + 92 + 85 + y ≥ 435
349 + y ≥ 435
Part B: Using the inequality created in Part A, graph the solution set
of the inequality.
349 + y ≥ 435
-349
y ≥ 86
86
-349