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Midterm Review Algebra: functions

Total questions: 18

Worksheet time: 36mins

Name
Class
Date
1.
a)

-3x + y > -2 and

2y > x + 2

b)

-3x + y ≥ -2 and

2y ≥ x + 2

c)

-3x + y < -2 and

2y < x + 2

d)

-3x + y < -2 and

2y < x + 2

2.
a)

Company 1 because the cost of 500 text messages is $15.

b)

Company 1 because the cost of 500 text messages is $20.

c)

Company 2 because the cost of 500 text messages is $25.

d)

The costs for both plans are exactly the same for 500 text messages.

3.
a)

y = 2x. y is double x.

b)

y = 3x. y is triple x.

c)

y = 2x + 1. y is twice x plus 1.

d)

y = 2x - 1. y is twice x minus 1.

4.
a)

the number of miles traveled at 0.45 per mile

b)

the maximum number of miles allowed at 0.45 per mile

c)

the cost of the ticket when the number of miles equals 0

d)

the cost of the ticket when the number of miles equals 45

5.
a)

1

b)

2

c)

3

d)

4

6.
a)

ƒ(x) = 4x − 4

b)

ƒ(x) = 4x − 3

c)

ƒ(x) = 4x − 2

d)

ƒ(x) = 4x − 1

7.
a)

1245.71 meters

b)

1421.42 meters

c)

1645.71 meters

d)

1861.50 meters

8.
a)

y=13x1y=\frac{1}{3}x-1  

b)

y=13x+1y=-\frac{1}{3}x+1  

c)

y=3x+1y=3x+1  

d)

y=3x1y=3x-1  

9.

Given ƒ(x) = 8x + 25, find x when ƒ(x) = 9.

a)

0

b)

2

c)

-2

d)

-1

10.
a)

Interval A and B

b)

Interval D and F

c)

Interval C and E

d)

Interval A, B, C and E

11.
a)
b)
c)
d)
12.

Steven works at a large home appliance store. He earns a base salary of $20,000 plus commission which can be modeled by the equation y = 0.1x + 20,000. What is the meaning of the y-intercept in the equation?

a)

Steven's base pay

b)

Steven's total sales

c)

Stevens commission pay

d)

highest pay Steven can earn

13.

Write the explicit formula for the arithmetic sequence. 2, -2, -6, -10, -14, ...

a)

an = 5 - 3n

b)

an = 6 - 4n

c)

an = 8 - 6n

d)

an = 10 - 8n

14.
a)

Yes, it is a function because no one failed the test

b)

Yes, it is a function because the student who studied more hours made the best grade.

c)

Yes, it is a function because the exam grade increases by 2 points for each hour studied.

d)

No, it is not a function because the input value of 3 hours has 2 different output values of 78 and 82.

15.

Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt. The equipment will cost $1200. Henry orders 600 shirts and determines that the profit for his new business is modeled by the function P = 22x - 1200. What is the domain of this function in this context?

a)

all real numbers

b)

{0 ≤ x ≤ 600}

c)

{0 ≥ x ≥ 600}

d)

{-1,200 ≤ x ≤ 2,000}

16.
a)

2n - 2

b)

3n + 4

c)

4n - 1

d)

5n

17.
a)

No, they are not equal. The slope is never the same along the entire line.

b)

Yes, they are equal. Slopes of lines are always equal along the entire line.

c)

No, they are not equal. Sometimes the slope is the same along the entire line, but not in this case.

d)

Yes, they are equal. This is a coincidence. Slopes of lines are not always the same along the entire line.

18.
a)

-3 ≤ y ≤ 2

b)

-3 and 2

c)

-3 ≤ y ≤ 3

d)

-2 ≤ y ≤ 3