One angle measures 160°, and another angle measures (3k + 61)°. If the angles are vertical angles, determine the value of k.
k = 14
k = 33
k = 74
k = 160
Question 8(Multiple Choice Worth 2 points)
(Irrational Numbers MC)
Compare the square root of 27 and twenty thirds using >, <, or =.
twenty thirds is less than the square root of 27
twenty thirds is equal to the square root of 27
the square root of 27 is greater than twenty thirds
the square root of 27 is less than twenty thirds
Question 9(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
A new gaming chair costs $455.95. You have already saved $136.45 and earn $35.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.
35.5 + 136.45w = 455.95; w = 9
35.5w + 136.45 = 455.95; w = 9
35.5w − 136.45 = 455.95; w = 17
35.5w − 455.95 = 136.45; w = 17
Question 10(Multiple Choice Worth 2 points)
(Scientific Notation in the Real World MC)
The area of the Sea of Japan is 1.007 × 106 km2. The area of the Southern Ocean is 2.0327 × 107 km2. Find the total area. Write the final answer in scientific notation with the correct number of significant digits.
2.1334 × 107 km2
3.0397 × 1013 km2
2.133 × 107 km2
3.040 × 1013 km2
Question 11(Multiple Choice Worth 2 points)
(Order of Operations with Radicals MC)
Simplify the expression.
fraction with negative 4 times the quantity 1 minus the cube root of 8 times 5 end quantity as the numerator and 3 as the denominator
twenty thirds
negative twenty thirds
12
−12
Question 12(Multiple Choice Worth 2 points)
(Pythagorean Theorem MC)
A tree that is 13 feet tall casts a shadow that is 9 feet long. What is the distance from the top of the tree to the tip of the shadow? Round to the nearest tenth.
9.4 feet
15.8 feet
2.0 feet
4.7 feet
Question 13(Multiple Choice Worth 2 points)
(Factoring Algebraic Expressions MC)
Rewrite 14a5b + 7ab2 using a common factor.
7ab(2a5b + 7ab2)
7ab(2a4 + b)
14ab(2a4 + 7ab2)
21a5b(7 + 3ab2)
Question 14(Multiple Choice Worth 2 points)
(Converting Between Systems LC)
Convert 36 pounds to kilograms. (1 pound = 0.454 kilogram)
79 kilograms
7.9 kilograms
163.44 kilograms
16.344 kilograms
Question 15(Multiple Choice Worth 2 points)
(Equivalent Algebraic Expressions LC)
Simplify (m5n)3.
mn18
m5n3
m15n
m15n3
You must check the box below prior to submitting your exam!
Check this box to indicate you are ready to submit your exam
FDK141.12
