Chapter 1 Assessment - Equations and Inequalities

Solve the equation. 3x + 18 = 0

• {-6}
• {6}
• {-3}
• {3}

Solve the equation by factoring. x^2 - 81 = 0

• {-9}
• {81}
• {9,-9}
• {9}

Solve the equation by the Square Root Method. (2x - 5)^2 = 9

• {8, 2}
• {-2, -8}
• {-1, -4}
• {4, 1}

Solve the equation and use the Quadratic Formula. 25x^2 - 70x + 49 = 0

• { 7/5, -35}
• {-7/5}
• {7/5}
• no real solution

Write the expression in the standard form a + bi. 6i(5 - 3i)

• 30i - 18i^2
• 18+ 30i
• 30i + 18i^2
• 30i- 18

Solve the equation 3|x - 3| = 18

• {3}
• {9, -3}
• {3, -9}
• no solution

Kevin invested part of his $10,000 bonus in a certificate of deposit that paid 6% annual simple interest, and the remainder in a mutual fund that paid 11% annual simple interest. If his total interest for that year was $700, how much did Kevin invest in the mutual fund?

• $2000
• $3000
• $8000
• $1000

A boat heads upstream a distance of 30 miles on the Mississippi river, whose current is running at 5 miles per hour. If the trip back takes an hour less, what was the speed of the boat in still water? Give the answer rounded to two decimal places, if necessary.

Solve the inequality. Express your answer in set notation. 323) x^2 ≤ 16

• {x| x ≤ -4 or x ≥ 4}
• {x| -4 < x < 4}
• {x| -4 ≤ x ≤ 4}
• {x| x ≤ 4}

Solve the inequality. Express your answer in interval notation. |x + 7| + 9 ≤ 15

• (-∞, -13) or (-1, ∞)
• [13, 15]
• [-13, -1]
• no solution