Algebra 1 EOC Review

The method of completing the square can be used to transform the equation  into the form .

 

What are the values for  and ?

• A. p= 6 , q= 28

• B. p= 6 , q= -44

• C. p= 3 , q= 1

• D. p= 3 , q= -8

One side of a rectangle is 2 inches shorter than three times the other side.  Find the sides if the area of the rectangle is 8 square inches.

• A. 4 in and 4 in

• B. 3/4 in and 10 in

• C. 2 in and 4 in

• D. 1 in and 8 in

A student bought  pens and  notebooks. The price of each notebook is  dollars more than the price of each pen. If the student spent a total of  on pens and notebooks. Which linear equation can be used to find, , the price of each pen in dollars?

• 3p + 5(16p) = 96

• 5p + 3(p+16) = 96

• 3p + 5(p+16) = 96

• 3p + 5(16-p) = 96

Jeremy has a gift card to use to buy comic books. Each comic book costs $5.25. The function  represents the remaining value of the gift card, in dollars, after purchasing  books.

Based on the function, determine All the true statements.

• f(0) = 80 represents the original value of the gift card.

• f(80) = 0 represents the original value of the gift card.

• f(10) = 27.5 represent the remaining value, in dollars, of the gift card after Jeremy purchased 10 comic books.

• f(15) = 1.25 represents the remaining value, in dollars, of the gift card after Jeremy purchased 15 comic books.

Jim is going to order rose bushes from a local nursery. The delivery charge is $15.00. Each rose bush costs $18.75. What is the greatest number of rose bushes Jim can buy with $80.00?

Part A

If n represents the number of rose bushes, which equation can be used to solve the problem?

• 3.75 + 15n = 80

• 15+ 18.75n = 80

• 18.75 + 15n = 80

• 3.75 +18.75n = 80

 

  Part B

What is the greatest number of rose bushes Jim can buy? Enter the answer in the box.

Mathematical Equivalence

ON

Part A

Which of the following trend lines is the best fit for the data?

• y = 7.5x

• y = 9x - 4

• y = 10x+15

• y = 40x - 70

 Part B

Suppose Yani spends $30 at the online store. Use the line of fit to determine the anticipated number of items she buys.

Mathematical Equivalence

ON

Julissa wants to join her local gym. The membership cost is $282.90 for 6 months and $448.80 for one year.  Which equation represents the amount of money, , she will spend on her gym membership for  months?

• y = 27.65x + 117

• y = 33.18x + 83.82

• y = 83.82x +33.18

• y = 117x + 27.65

Fareed is making a rectangular garden in his backyard. He wants the length of the garden to be 5 feet longer than the width. Which type of function can Fareed write to model the possible areas of his garden?

• Linear

• Quadratic

• Exponential

• Cannot be determined