Algebra EOC Review

Sandi and Felipe are participating in a Walk for Life to raise money for charity. Sandi will raise $30, plus $2.50 for each mile she walks. Felipe will raise $20, plus $5 for each mile he walks. The total amount that each will raise can be calculated using the following expressions, where n stands for the number of miles walked:

Sandi: 30 + 2.5n Felipe: 20 + 5n

After how many miles will Sandi and Felipe have raised the same amount of money?

• 3.5

• 4

• 6.5

• 8

Akeem weighs 140 pounds(lbs) and hopes to add weight in order to play football in the fall. He hopes to gain between 0.5 and 1.0 pound (lb) per week over the next 10 weeks. Akeem will record his progress on the graph below. On the graph, the solid line represents a weight-gain rate of exactly 1.0 pound per week. The dotted line represents a weight-gain rate of exactly 0.5 pound per week.

Look at the attached image.

If Akeem gains more than 1 pound per week, which region on the graph will contain all possible points that could represent Akeem’s weight-gain progress?

• Region A

• Region B

• Region C

• Region B and C

Lena sells earrings from a booth at the arts fair. She pays $200 to rent the booth. She makes $5 from each pair of earrings she sells. Her profit, P, can be found using the following equation, where n is the number of pairs of earrings sold.

P = 5n – 200

How many pairs of earrings must Lena sell to earn a profit of $450?

• 100

• 130

• 140

• 150

Given the relation {(0, 5), (9, 2), (7, 1), (6, 3)}, what is the sum of all the elements in the range?

What is the value of x in the equation –3x + 19 = 2x + 106?

What is the solution of the system of equations shown below?

y = 4x - 10

y = 2x

• (5, 10)

• (0, -10)

• (-2, -4)

• (6, 11)

In her catering business, Maria prepares and serves Italian food. The amount of lasagna is prepared according to the following table.

Look at the image attached.

Based on the pattern in the table, how many pans of lasagna should be prepared for 250 guests?

Mrs. Sanchez writes the following table of x and y values on the chalkboard and asks the class to find an equation that fits the values in the table.

Look at the image.

Which of the following equations describes the relationship between x and y?

• y = 2x – 2

• y = –2x – 2

• y = 4x + 2

• y = 4x – 2

Lamar works in the quality control section of a toy company. The factory is producing 3,000 Steel Man action figures. Lamar randomly chose 120 of them and had them examined for defects. Of these 120 figures, eight of them had defects. If this ratio held true for all 3,000 figures, how many additional figures of the remaining 2,880 figures would have defects?

• 200

• 192

• 150

• 125