AnswersCA-Common Core Math I A-CRTranslations of Exponential Functions

Translations of Exponential Functions — Cumulative exam Answers

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Which graph shows the solution to the system of linear inequalities?2x – 3y <12y < –3

A
Option
B
Option
C
Option
D
Option
2
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Point E is drawn on the graph so that line EF is parallel to line CD.

Question illustration
A
−8
B
−4
C
0
D
8
3

The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?

A
0.7(t) = t – 4 – 2
B
0.7(t) = t + 4 + 2
C
0.7t(4 + 2) = t
D
0.7(t + 4 + 2) = t
4

The graphs of y = 3x and y = 3x are shown below. In general, how does the growth of y = 3x compare to the growth of y = 3x?

Question illustration
A
The function y = 3x is growing slower than y = 3x.
B
The function y = 3x is growing faster than y = 3x.
C
The functions y = 3x and y = 3x are growing at the same rate.
D
The function y = 3x is growing slower than y = 3x.
5

Line ST and point V are shown on the graph.

Question illustration
A
−7
B
−5
C
2
D
3
6

64, –48, 36, –27, ...

A
f(x + 1) = f(x)
Option A
B
f(x + 1) = f(x)
Option B
C
f(x) = f(x + 1)
Option C
D
f(x) = f(x + 1)
Option D
7

Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book.

Question illustration
A
slope: 2, y-intercept: –20
B
slope: 2, y-intercept: 10
C
slope: 5, y-intercept: –20
D
slope: 5, y-intercept: 10
8

The graph represents the function where electricity usage in kilowatts per hour of a clock radio varies directly with the number of days it is plugged into the wall current.

Question illustration
A
0.25 kWh per day
B
0.50 kWh per day
C
2.40 kWh per day
D
4.00 kWh per day
9

Which graph represents the function y = 2x – 4?

A
Option
B
Option
C
Option
D
Option
10

On a coordinate plane, 5 points are plotted. The points are (1, 1,296), (2, 1,080), (3, 900), (4, 750), (5, 625).

Question illustration
A
f(x + 1) = f(x)
Option A
B
f(x + 1) = f(x)
Option B
C
f(x + 1) =
Option C
D
f(x + 1) =
Option D
11

Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?

A
Option
B
Option
C
Option
D
Option
12

Which table represents a direct variation function?

A
A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 4.5, negative 3.0, negative 1.5, 0.0, 1.5.
Option A
B
A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5.5, negative 4.5, negative 3.5, negative 2.5, negative 1.5. The second row, y, has the entries, 10, 8, 6, 4, 2.
Option B
C
A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5.5, negative 5.5, negative 5.5, negative 5.5, negative 5.5. The second row, y, has the entries, negative 3, negative 1, 2, 5, 10.
Option C
D
A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 7.5, negative 2.5, 5.0, 12.5, 25.0.
Option D
13

Which is the graph of linear inequality 6x + 2y > –10?

A
Option
B
Option
C
Option
D
Option
14

How many solutions does this linear system have?y = x+ 2 6x – 4y = –10

Question illustration
A
one solution: (–0.6, –1.6)
B
one solution: (–0.6, 1.6)
C
no solution
D
infinite number of solutions
15

When a number is added to of itself, the result is 24. The equation that models this problem is n + n = 24. What is the value n?

Question illustration
A
n = 18
B
n = 20
C
n = 21
Option C
D
n = 23
Option D
16

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.

Question illustration
A
1.5
B
2.25
C
3.0
D
4.5
17

Using a stopwatch, Tyrone determines it takes him 58.2 minutes to travel 30 miles to work. The stopwatch measures to hundredths of a minute. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?1 mile = 5,280 feet

A
19.8 feet per second
B
19.84 feet per second
C
45.3 feet per second
D
45.36 feet per second
18

What is the solution to 4|0.5x – 2.5| = 0?

A
x = 1.25
B
x = 5
C
x = –1.25 or x = 1.25
D
x = –5 or x = 5
19

Dwight creates a table of values for a function and plots the points. He finds that one y value divided by the next y value produces the same answer each time. What kind of function did he graph?

A
linear
B
quadratic
C
square root
D
exponential
20

Which is the best description of the graph of the function f(x) = 60()x?

Question illustration
A
The graph has an initial value of 20, and each successive term is determined by subtracting .
Option A
B
The graph has an initial value of 20, and each successive term is determined by multiplying by .
Option B
C
The graph has an initial value of 60, and each successive term is determined by subtracting .
Option C
D
The graph has an initial value of 60, and each successive term is determined by multiplying by .
Option D

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