Test Creating Equations and Inequalities

^{Which system of inequality is shown?}

• y > -1/5x - 1/2   and  y ≥ -2x - 4
• y > -1/5x - 1/2  and  y ≤ -2x - 4
• y ≥ -1/5x - 1/2   and  y ≤ -2x - 4
• y < -1/5x - 1/2   and  y ≥ -2x - 4

Which system of inequality is shown?

• y > -4/5x - 1 and y ≤ 2/3x + 3
• y ≥ -4/5x - 1 and y ≤ 2/3x + 3
• y < -4/5x - 1 and y < 2/3x + 3
• y < -4/5x - 1 and y ≥ 2/3x + 3

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

• x+y=134
  x+y=120
• 3x+3y=134
  4x+3y=120
• 4x+3y=134
  3x+3y=120
• 7xy=134
  6xy=120

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

• $5
• $10
• $15
• $20

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240
• x + 2y > 240
• x + 2y ≤ 240
• x + 2y ≥ 240

Solve for v.

• v ≥ -6 and v ≤ -4
• v > -6 and v < -4
• v ≥ -6 or v ≤ -4
• v > -6 or v < -4

• all real numbers
• no solution
• 0 < v < 6⁄7
• 0 ≤ v ≤ 6/7

Express the following in Interval Notation

-8 ≤ x < 8

• [-8, 8]

• [-8,8)

• (-8, 8]

• (-8, 8)

• (8, -8]

Write the following in interval notation
 x < 8

• (8, ∞)
• (8, -∞)
• (-∞, 8)
• [-∞, 8]

Write the following in interval notation

x < 3 or x ≥ 5

• (3, -∞) U (∞, 5]

• [-∞, 3) U [5, ∞]

• (-∞, 3) U [5, ∞)

• (3, -∞] U [∞, 5]

• (3, -∞] U [5, ∞]