GMAS Algebra 1 EOC Practice 1

The first term in an arithmetic sequence is −7. The fourth term in the sequence is −1. The tenth term is 11.

Which function can be used to find the nth term of the arithmetic sequence?

Answer explanation

The correct answer is f(t) = 2t -9. Since the sequence is changing at a constant rate and it is given that f(1) = -7 and f(4) = -1, it can be determined that in 3 terms the value changes by +6 or that each term changes by +2. The function will be in the form f(x)= 2x + b. Substituting f(1) can determine that -7 = 2(1) + b to reveal that b = -9.

DOK Level 2

Tags

MGSE9-12.F.BF.2

A table of values is shown.

Create a linear equation that represents the values shown in the table

Mathematical Equivalence

ON

Answer explanation

The correct answer is: y = -0.5x + 2. The common difference is -0.5 as the y-values decrease by 0.5 for every increase of 1 in the x-values.

At x = 0, y = 2 which means that the y-intercept is 2

DOK 1

Tags

MGSE9-12.A.CED.2

Answer explanation

The correct answers are:

n = 4; p = -9 AND

n = -1; p = 4

The rest of the choices result in two outputs for one input

DOK 2

Tags

MGSE9-12.F.IF.1

Information about the costs of three catering companies is shown in the following table.

Kelechi can spend no more than $450 on catering for an event. What is the greatest number of people Kelechi can have at this event without spending more than $450 on catering?

• 45

• 58

• 51

• 60

Answer explanation

58 is the correct answer as it represent the largest amount available from any company

DOK 3 (I personally believe this is DOK 2)

Tags

MGSE9-12.A.CED.1

Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20.

Tags

CCSS.8.EE.C.8C