AnswersINMT2 Integrated Math 2 Sem 1 26-27Linear Piecewise Defined Functions

Linear Piecewise Defined Functions — Cumulative exam Answers

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1
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What is the inverse of the function f(x) = x +3?

A
h(x) = x + 3
Option A
B
h(x) = x – 3
Option B
C
h(x) = x – 3
D
h(x) = x + 3
2
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What is the constant of variation, k, of the line y=kx through (3,18) and (5,30)?

A
Option
Option A
B
Option
Option B
C
3
D
6
3

Which graph represents a function?

A
Option
B
Option
C
Option
D
Option
4

Which table represents a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

What is the vertex of the graph of f(x) = |x + 3| + 7?

A
(3, 7)
B
(7, 3)
C
(–3, 7)
D
(7, –3)
6

Which statements about the system are true? Select two options.y = x – 43y – x = –7

Question illustration
A
The system has one solution.
B
The system consists of parallel lines.
C
Both lines have the same slope.
D
Both lines have the same y–intercept.
E
The equations represent the same line.
7

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 2).

Question illustration
A
g(x) = |x + 4| – 2
B
g(x) = |x – 4| – 2
C
g(x) = |x – 2| – 4
D
g(x) = |x – 2| + 4
8

Heather writes the equations below to represent two lines drawn on the coordinate plane.–6x + 18y = 0 4x – 12y = 20

A
The equation has no solution; therefore, the system of equations has no solution.
B
The equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60).
C
The equation has infinite solutions; therefore, the system of equation as infinite solutions.
D
The equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).
9

A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays based on the number of ounces of frozen yogurt purchased.

Question illustration
A
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
B
A rewards customer pays $5 per ounce because the total amount paid is always increasing.
C
A rewards customer pays $20 for 10 or 12 ounces of yogurt because the total amount paid is increasing.
D
A rewards customer earns 5 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
10

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?

A
6 + 2(x + 4) = (3 – x)
Option A
B
6 + 2(x + 4) = (x – 3)
Option B
C
(6 + 2)(x + 4) = (3 – x)
Option C
D
(6 + 2)(x + 4) = (x – 3)
Option D
11

What is the value of p in the linear equation ?

Question illustration
A
−4
B
−2
C
2
D
4
12

If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they work together, what is the missing value from the table that represents the part of the project Dominik will complete?

Question illustration
A
8r
B
8(5)
C
r
Option C
D
(5)
Option D
13

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown.Shop Shawn used: y=10+3.5xShop Dorian used: y=6x

A
3
B
4
C
14
D
24
14

The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pizza, p.

Question illustration
A
$1.50
B
$2.00
C
$2.50
D
$3.00
15

The members of the drama club have 100 tickets to sell to the school play. Students pay $5 per ticket, and nonstudents pay $10 per ticket. The drama club needs to collect at least $800 in total ticket sales. The system of inequalities represents the number of student tickets, s, and the number of nonstudent tickets, n, the members must sell. s + n ≤ 1005s + 10n ≥ 800

A
40
B
60
C
80
D
100
16

Tickets to a school production cost $5 for a student ticket and $10 for an adult ticket. A total of 67 tickets were purchased at a cost of $440.

Question illustration
A
67
B
440
C
67 – a
D
440 – a
17

Raphael graphed the functions g(x)=x+2 and f(x)=x−1. How many units below the y-intercept of g(x) is the y-intercept of f(x)?

Question illustration
A
−3 units
B
−1 units
C
2 units
D
3 units
18

Lukas graphed the system of equations shown.2x + 3y = 2y = x + 3What is the solution to the system of equations?

Question illustration
A
(–2, 2)
B
(0, 0.67)
C
(0, 3)
D
(1, 0)
19

The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend.

Question illustration
A
The team charged $1 to wrap a gift with no bow and $2 to wrap a gift with a bow.
B
The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.
C
The team charged $3 to wrap a gift with no bow and $4 to wrap a gift with a bow.
D
The team charged $4 to wrap a gift with no bow and $5 to wrap a gift with a bow.
20

Which describes the range of the parent absolute value function?

A
{y | y is a real number}
B
{y | y is an integer}
C
{y|y > 0}
D
{y|y < 0}

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