Study Guide: Unit 6B

Which value for z is a solution of 1/2z<-6?

• -14

• -12

• -8

• -5

Roman spends more than $25 on decorations for the school play. Emily spends at least $35 on costumes for the school play. Write an inequality to represent the number of dollars Roman spends. 

r​ ​ (a)   25

• >
• <
• ≤
• ≥

Roman spends more than $25 on decorations for the school play. Emily spends at least $35 on costumes for the school play. Write an inequality to represent the number of dollars Emily spends. 

e​ ​ ​ ​ (a)     35

• ≥
• <
• ≤
• >

Darius is making a dinner of black-eyed peas, collard greens, and cornbread for 18 people. He wants to make enough black-eyed peas for each person to have more than 2/3 cup. Determine whether each inequality or number line correctly models c, the number of cups of black-eyed peas Darius needs to make. Which ones were YES.

• A

• B

• C

• E

• F

Teresa puts apple sauce in containers in the freezer. She puts at most 14.5 oz of applesauce in each container. Write an inequality to represent the amount of applesauce, a, in ounces that Teresa puts in each container?

a​ (a)   14.5

• ≤
• <
• >
• ≥

James wants to earn at least $55 this weekend. He earns $15 gardening. He will also earn $8 per hour washing cars. James writes the inequality 5515 + 8h to represent the number of hours, h, he needs to spend washing cars to meet his goal. Which value(s) for h are a solution to his inequality? {3, 4, 5, 6}

• 3

• 4

• 5

• 6

What are the coordinates of each point in the figure?

F​ (a)  

H​ ​ (b)  

G​ ​ (c)  

• (-4, 1)
• (-5, -4)
• (3, -2)
• (1, -4)
• (-2, 3)
• (-4, -5)

Variables a and b represent positive numbers. Luciana plots points P with coordinates (-a, -b) in the coordinate plane. She reflects that point across the x-axis. In which quadrant is the reflection of point P in the coordinate plane?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Carrie wants to plot point K at (-3, 9) and point L at (6, -1) in the coordinate plane. How should Carrie plot these points in the coordinate plane?

To plot point K, Carrie should start at the origin and move 3 units ​ (a)   and then 9 units ​ (b)   . To plot point L, Carrie should start at the origin and move 6 units ​ (c)   and then 1 unit ​ (d)   .

• left
• up
• right
• down

Jerome plots points S and T in the coordinate plane. The x-coordinate of point S is the opposite of the x-coordinate of point T. The y-coordinates of points S and T are the same. Determine whether each statement about the points is true or false. Which ones are TRUE.

• A

• B

• C

• D

• E