DAY 1 – Algebra I 10-Day EOC Review Functional Relationships
Name ______________________ Period ________ Readiness TEKS 1.D, 1.E
1. Susan received a $30 gift card to an online music store. $1.29 is debited from the gift card for every song Susan downloads. Which table best describes the remaining balance on the gift card (g) in relation to the number of songs downloaded (s)?
A
s 2 4 7 12
g $27.42 $24.84 $20.97 $14.52
C
s 0 1 3 5
g $0.00 $1.29 $3.87 $6.45
B
s $30.00 $28.71 $27.42 $26.13
g 0 1 2 3
D
s 0 3 6 9
g $28.71 $24.84 $20.97 $18.39
2. Which inequality describes the graph below?
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3. Which graph represents a relationship between x and y if x increases 2 units for every 1 unit y increases?
A
B
C
D
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G
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J
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DAY 1 – Algebra I 10-Day EOC Review Functional Relationships
Name ______________________ Period ________ Readiness TEKS 1.D, 1.E
4. Which table shows the same relationship as y = 3x2 – 2x? F x y
-1 3
0 1
1 4
2 8
x y
-1 3
0 0
1 1
2 2
6. The graph of a quadratic function f(x) passes through the points (-5, 8), (1, 2), (2, 8), and (5, 38). Which of the following shows the same relationship as f(x)?
G
F
G
H x y
-1 1
0 0
1 4
2 8
x y
-1 5
0 0
1 1
2 8
J
H 5. Which equation represents the same relationship as the data in the table below? x y
-2 0
0 -2
2 12
4 42
6 88
y = x – 4x + 2
B
y = 2x2 – 2x + 4
C
y = 2x2 + 3x – 2
D
y = x2 + 4x – 4
J
7. Briar Lake has a surface area of 7000 m2. During periods without precipitation, the lake can lose surface area due to evaporation. The function w = 7,000 – 12d can be used to estimate the water’s surface area, w, based on the number of days, d, without precipitation. Using this information, which of the statements about the lake could be true? A
The lake’s surface area decreases at a constant rate without rain.
B
The lake’s surface area will be 6,976 m2 after two weeks without rain.
C
The lake will decrease exponentially in surface area without rain.
D
The lake loses 24 m2 per day in surface area without rain.
2
A
f(x) = x2 – 3x + 2
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DAY 1 – Algebra I 10-Day EOC Review Functional Relationships 8. A factory producing hard candy packages the exact same number of candy in every bag. The table below shows the number of candy pieces packaged into the bags. Number of Candy Bags 3 6 9 12
Total Number of Candy Pieces Packaged 72 144 216 288
Based on the data in the table above, what would be the total number of candy pieces packaged in 16 bags? F
312
G
360
H
384
J
432
9. Using the table in Question #8, what function below describes the relationship between the number of candy bags, b, and the total number of candy pieces, p, packaged? A
b = 24p
B
p = 24b
C
p = 3b + 24
D
b = 24b2 – 3b
Name ______________________ Period ________ Readiness TEKS 1.D, 1.E 10. Cosmos Satellite Internet Company is having a promotion for new subscribers. For $24.99, customers will get 5 gigabytes (GB) of download capacity per month. However, if customers exceed 5 GB, they will have to pay a monthly charge based on the function below where t is the total monthly bill and g is the monthly gigabytes used. t = 8.99(g – 5) + 24.99 Which of the following statements is true? F
Every GB used will cost the customer $8.99 regardless of the amount used.
G
If the customer exceeds 5 GB in download capacity, then he/she will have to pay $8.99 for each additional gigabyte used beyond 5 GB.
H
If more than 5 GB is used, then every gigabyte will cost $8.99.
J
Each gigabyte up to 5 GB will cost $8.99, and afterwards there is an additional charge of $24.99 per gigabyte.
11. Using the information in Question #10, what would be the monthly bill for a customer who used 8 GB? Record your answer in the grid.
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DAY 1 – Algebra I 10-Day EOC Review
Readiness Skill Practice
Name ______________________ Period ________
A.1D – represent relationships among quantities using concrete models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities
Given the equation y = 2x2 + 2, represent this relationship in the graph, table, and concept map below. 2
1. Graph y = 2x + 2.
2. Complete the chart for y = 2x2 + 2.
x
y
-2 1 3 5 3. Complete the mapping model for y = 2x2 + 2.
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DAY 1 – Algebra I 10-Day EOC Review
Readiness Skill Practice
Name ______________________ Period ________
A.1E – interpret and make decisions, predictions, and critical judgments from functional relationships
Draw a graph that shows the relationship described in each example below, and identify if the relationship is 1) positive-linear, 2) negativelinear, 3) quadratic, or 4) no change-linear. 1. A new battery is placed in a flashlight. The flashlight is left on for several hours.
3. A rain gauge is collecting precipitation during a steady, long rain shower.
Type of Relationship:
Type of Relationship:
____________________
____________________
2. A baseball is thrown through the air from the outfield to home plate.
4. Candice discovers a leak while filling a pool. The water flowing from the leak is equal to the water coming from the hose.
Type of Relationship:
Type of Relationship:
____________________
____________________
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