Reasoning Test Review

If a=2 and a+b=7, then 2+b=7

• addition

• substitution

• multiplication

• transitive

Determine whether this statement is always, sometimes or never true:

Line m & n intersect.

• Always

• Sometimes

• Never

• Ligma

Determine whether this statement is always, sometimes or never true:

The intersection of 2 planes is a line.

• Sometimes

• Always

• Never

• None of the above

Make a conjecture about the next term in the sequence : 5, -10, 20, -40

• 8

• -8

• 80

• -80

Find the function rule for the sequence. Then, find f(53).

2, 5, 8, 11, 14

• f(n)=2n-10; f(53)=96

• f(n)=n+16; f(53)=69

• f(n)=3n-1; f(53)=158

• f(n)=4n+56; f(53)=268

Write "Geometry students love to take math tests." as an if-then statement.

• If you love to take math tests, then you are a geometry student.

• If you are a geometry student, then you do not like to take math tests.

• If you are a geometry student, then you love to take math tests.

• If you are not a geometry student, then you do not like to take math tests.

Given: points R, S, T Conjecture: R, S, and T are coplanar

True or False

If false, find a counterexample

• True, because any three points are coplanar.

• False, because they are collinear and not coplanar.

• True, because any three points make a plane.

• False, because it is impossible for three points to be coplanar.

Identify the hypothesis of the statement "Sue will watch the Rose Bowl if today is January 1st."

• today is January 1st

• today is not January 1st

• Sue will watch the Rose Bowl

• Sue will not watch the Rose Bowl

Use the Law of Detachment to write a valid conclusion for the given information.

If a football team wins the Big 10 championship, then they will play in the Rose Bowl. Ohio State wins the Big 10 championship.

• Ohio State will play in the Rose Bowl.

• Ohio State will play in the Super Bowl.

• Ohio State will lose in the Rose Bowl.

• Ohio State sucks.

Determine whether this statement is always, sometimes or never true.

A line contains exactly one point.

• Sometimes

• Always

• Never

• IDK