Free Printable Algebra 1 Test 8 Review

1.

Write a system of equations to represent the situation. Erin is selling two types of cookies. Chocolate chip cookies (x) sell for $3 a box and sugar cookies (y) sell for $5 a box. She made a total of $76 selling 20 boxes of cookies.

a)

5x + 3y = 76 and x - y = 20

b)

5x + 3y = 76 and x + y = 20

c)

3x + 5y = 76 and x - y = 20

d)

3x + 5y = 76 and x + y = 20

2.

Write a system of equations for the given situation. Ben and Randy are both making birdhouses. Ben currently has 8 birdhouses already made and he can make 2 more each day. Randy only has 5 birdhouses, but he can make 3 each day.

a)

y = 2x + 8 and y = 3x + 5

b)

y = 2x + 5 and y = 3x + 8

c)

y = 8x + 2 and y = 5x + 3

d)

y = 8x + 3 and y = 5x + 2

3.

Select all that apply to describe the following sequence.

5, 8, 11, 14 17, ...

a)

arithmetic

b)

geometric

c)

linear

d)

exponential

4.

Select all that apply to describe the following sequence.

4, 12, 36, 108, ...

a)

arithmetic

b)

geometric

c)

linear

d)

exponential

5.

Select all that apply to describe the following sequence.

54, 50, 46, 42, ...

a)

arithmetic

b)

geometric

c)

linear

d)

exponential

6.

Select all that apply to describe the following sequence.

576, 288, 144, 72, ...

a)

arithmetic

b)

geometric

c)

linear

d)

exponential

7.

What are the first three terms for the given sequence?

t(n) = 5n + 8

a)

8, 13, 18

b)

5, 13, 21

c)

13, 18, 23

d)

3, 8, 13

8.

What are the next two terms in the given sequence?

2, 6, 18, ...

a)

54, 162

b)

22, 26

c)

30, 42

d)

36, 72

9.

What are the next two points in the sequence?

a)

(7, 21.5), (8, 23.5)

b)

(7, 22.5), (8, 25.5)

c)

(7, 21), (8, 23)

d)

(7, 20.5), (8, 22.5)

10.

Write an explicit formula for the given sequence.

7, 11, 15, 19, ...

a)

t(n) = 4n + 7

b)

t(n) = 7n + 4

c)

t(n) = 4n + 3

d)

t(n) = 7n + 3

11.

Write an explicit formula for the given sequence.

54,48, 42, 36, ...

a)

t(n) = 6n + 54

b)

t(n) = -6n + 54

c)

t(n) = -6n + 60

d)

t(n) = 6n + 60

12.

Write an explicit formula for the given sequence.

20, 80, 320, 1280, ...

a)

$t\left(n\right)=20\left(4\right)^n$

b)

$t\left(n\right)=4\left(20\right)^n$

c)

$t\left(n\right)=5\left(4\right)^n$

d)

$t\left(n\right)=4\left(5\right)^n$

13.

Write an explicit formula for the given sequence.

768, 192, 48, 12, 3, ...

a)

$t\left(n\right)=768\left(\frac{1}{4}\right)^n$

b)

$t\left(n\right)=3072\left(\frac{1}{4}\right)^n$

c)

$t\left(n\right)=768\left(4\right)^n$

d)

$t\left(n\right)=3072\left(4\right)^n$

14.

Choose all of the terms that describe the relationship pictured.

a)

approximately linear

b)

approximately non-linear

c)

negative direction

d)

positive direction

15.

Describe the linear correlation in the data pictured.

a)

strong positive linear correlation

b)

weak positive linear correlation

c)

medium positive linear correlation

d)

no correlation

16.

What is the LSRL?

a)

Lowest Sum Realized Line

b)

Least Squares Regression Line

c)

Laughable Something Ridiculous Line

d)

Lower Scatter Reached Line

17.

What is the command you should type into Desmos to have it calculate the LSRL?

a)

$y_1\sim mx_1+b$

b)

$y=mx+b$

c)

$y=a\left(b\right)^x$

d)

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

18.

Becky studied the relationship between the years of service (y) at her company and average salary (x), given in thousands of dollars. The linear relationship is given by y = 3x + 40. Interpret the slope.

a)

A slope of 3 means that for each additional year worked at the company, a person can expect to make an additional $3,000 dollars.

b)

A slope of 40 means that for each additional year worked at the company, a person can expect to make an additional $40,000.

c)

A slope of 3 means that for each $1000 earned, the person has worked at the company an additional 3 years

19.

Becky studied the relationship between the years of service (y) at her company and average salary (x), given in thousands of dollars. The linear relationship is given by y = 3x + 40. Interpret the y-intercept.

a)

A y-intercept of 3 means that the beginning salary (0 years of service) at the company is $3,000

b)

A y-intercept of 40 means that the beginning salary (0 years of service) at the company is $40,000

c)

A y-intercept of 40 means that a person who has worked at the company for a year can expect to make $40,000

20.

A botanist studied the relationship between the temperature (x) in degrees Fahrenheit and the height of the trees (y) in inches in the area. She found a linear relationship modeled by y = 0.5x + 3. If the temperature is 60 degrees Fahrenheit, how tall would you predict the tree to be?

a)

60 inches

b)

30 inches

c)

33 inches

d)

42 inches

21.

Use the LSRL, what would you predict the average price (in $) of a baseball ticket to have been in the year 2004?

a)

$30

b)

$25.50

c)

$20.75

d)

$19.95

Algebra 1 Test 8 Review

Total questions: 21

Worksheet time: 13mins

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