Algebra 2 Pretest

An architect measures a beam to be 96.55 centimeters long, with an accuracy of plus or minus 0.02 centimeter. Which equation can be used to find the limits of the actual length of the beam?

• 
• 
• 
• 

Which number line shows the solution to the inequality

• 
• 
• 
• 

Dino has $1,000 in a savings account that was started for him when he was born. He has a part-time job where he earns $60 each week, and he puts $20 of that into his account each week. An equation could be used to model the amount in his account, y, after x weeks.

Which statements are true about a graph of the equation that will show his account balance during a year? Check all that apply. Select ALL that apply.

• The x-axis should be labeled from 0 to 12 months since you want to see the change over a year.

• The x-axis should be labeled from 0 to 52 weeks since you want to see the change over a year.

• The y-axis should be labeled from $0 to $1,000 since the money in the account will not go above $1,000.

• The y-axis should be labeled from $0 to $1,300 since the money in the account will not go above $1,300.

• The y-axis should be labeled from $1,000 to $2,100 since that is the approximate range of y values for the year.

Mark can take the city bus to school, or he can ride his bicycle. One bus ride costs him $1.75. He can bring his lunch to school or buy it there. Buying lunch in school costs $2.50. He tries to spend no more than $30 on these options each month. Let x represent the number of lunches that Mark buys in school. Let y represent the number of bus rides that he takes.

Which inequality represents all ordered pairs (x, y) that are possible options for Mark?

• 2.5x + 1.75y ≤ 30 for x ≥ 0 and y ≥ 0

• 2.5x + 1.75y ≥ 30 for x ≤ 0 and y ≤ 0

• 30 − 1.75y ≤ 2.5x for x ≥ 0 and y ≤ 0

• 30 − 2.5x ≤ 1.75y for x ≤ 0 and y ≥ 0

The graph shows this system of inequalities, with their shaded solution region.

Which ordered pairs satisfy all three inequalities? Check ALL that apply.

• (3,0)

• (-2,5)

• (0,0)

• (2,2)

• (3,4)

Which shows the solution to this system of equations?

• (2,2)

• (2,4)

• (4,2)

• (4,4)

A child care company charges $435 per month for children who attend part time and $275 per month for children who attend full time. This month, they have 35 children registered for a total fee of $12,985.

Let x represent the number of children who attend full time and let y represent the number of children who attend part time. Which system of equations could be used to model this situation.

• x+y=35

  275x+435y=12,985

• x+y=275

  35x+35y=435

• x+y=435

  35x+35y=12,985

• x+y=12,985

  275x+435y=35

Which is the solution to this system of equations?

• x=0, y=3, z=1

• x=1, y=0, z=3

• x=1, y=3, z=0

• x=3, y=1, z=0

|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• No Solution

-|−2r − 1| = 11

• {-6,5}
• {5,-6}
• -6
• No Solution