SAT/ACT Prep Course Part 2
About how much time do you have to answer SAT and ACT math questions? - Answer
about 1 minute per question
How much of a deduction does the SAT make for a wrong answer on the grid-in math
questions? - Answer 0 points
Why is a systematic approach important on the ACT and SAT? - Answer it's difficult to
finish all the questions in the amount of time given
Which of the following subjects is tested on both the SAT and ACT? - Answer
coordinate geometry
How do you determine your total score on the SAT? - Answer (evidence-based reading
+ writing/language) + math score
What is the value of 8^(2/3)? - Answer 4
For which of the following operations can you use the commutative property? - Answer
both addition and multiplication
Which of the operations do you need to perform to answer the following problem: Jack
has three boxes of ten cars; how many cars does he have? - Answer multiplication
Which of the following is an example of the associative property? - Answer (34 + 7) + 11
= 34 + (7 + 11)
(a + b) + c = a + (b + c)
A host served two pies, one apple and one cherry. Dinner guests ate twenty-five
percent of the apple pie and sixty percent of the cherry pie. In all, what fraction of the
total pies remained? - Answer 23/40
Since you're working with percents, divide each pie into 100 pieces. The guests ate
25/100 pieces of apple pie and 60/100 pieces of cherry pie. Therefore 75/100 of the
apple pie remains and 40/100 of the cherry pie remains. 75 + 40 = 115. Of the original
200 total pieces of pie, 115 pieces remain, or 115/200 pieces. 115/200 reduces to
23/40.
What is each term in a polynomial made up of? - Answer variables and coefficients
What do variables represent? - Answer changing values
What is the FOIL method? - Answer a rule for multiplying 2 polynomials
, What is the prime number that's one-half the product of the only two consecutive prime
numbers? - Answer 3
Two and three are the only consecutive prime numbers. 2 x 3 = 6, and half of 6 is 3.
Twenty-five less than ten times a number is equal to forty-five. What is the number? -
Answer 7
The equation is 10x - 25 = 45. Then you solve for x.
Which of the following is an isosceles triangle? - Answer a triangle with 2 sides of equal
lengths
What does perimeter measure? - Answer the distance around the outside of a 2D object
What do you find by using the formula of the Pythagorean theorem? - Answer The
length of a hypotenuse of a right triangle when given the lengths of the other two sides.
This formula allows you to determine the length of any side of a right triangle if you
know the measurements of the other two sides.
What is the surface area of a rectangular prism with a length of 6, a width of 4, and a
height of 2? - Answer 88
What makes a 45-45-90 degree triangle unique? - Answer The length of its sides is in
the ratio of 1:1:square root of 2.
Two sides of a triangle measure 4 and 13 and the angle at the vertex where those two
sides meet measures 100 degrees. What is the measure of the third side? - Answer
14.2
use the law of cosines, plug in values, and solve
What is the measure of the bridge from point B to point C in the following figure? -
Answer 17.5
To find the length, you use the tangent formula and solve for the opposite side
If one leg of a right triangle is 8 and the hypotenuse is 10, what is the measure of the
other leg? - Answer 6
Since 8 and 10 are multiples of 4 and 5, you can see this is a 3-4-5 right triangle
multiplied by 2
What is the measure of side "b" in the triangle in the following figure? - Answer 16.8
First you solve for the third angle, which is 60, and then use the Law of Sines.
What is the measure of one angle of a triangle with sides that measure 6, 7, and 14? -
Answer no solution
About how much time do you have to answer SAT and ACT math questions? - Answer
about 1 minute per question
How much of a deduction does the SAT make for a wrong answer on the grid-in math
questions? - Answer 0 points
Why is a systematic approach important on the ACT and SAT? - Answer it's difficult to
finish all the questions in the amount of time given
Which of the following subjects is tested on both the SAT and ACT? - Answer
coordinate geometry
How do you determine your total score on the SAT? - Answer (evidence-based reading
+ writing/language) + math score
What is the value of 8^(2/3)? - Answer 4
For which of the following operations can you use the commutative property? - Answer
both addition and multiplication
Which of the operations do you need to perform to answer the following problem: Jack
has three boxes of ten cars; how many cars does he have? - Answer multiplication
Which of the following is an example of the associative property? - Answer (34 + 7) + 11
= 34 + (7 + 11)
(a + b) + c = a + (b + c)
A host served two pies, one apple and one cherry. Dinner guests ate twenty-five
percent of the apple pie and sixty percent of the cherry pie. In all, what fraction of the
total pies remained? - Answer 23/40
Since you're working with percents, divide each pie into 100 pieces. The guests ate
25/100 pieces of apple pie and 60/100 pieces of cherry pie. Therefore 75/100 of the
apple pie remains and 40/100 of the cherry pie remains. 75 + 40 = 115. Of the original
200 total pieces of pie, 115 pieces remain, or 115/200 pieces. 115/200 reduces to
23/40.
What is each term in a polynomial made up of? - Answer variables and coefficients
What do variables represent? - Answer changing values
What is the FOIL method? - Answer a rule for multiplying 2 polynomials
, What is the prime number that's one-half the product of the only two consecutive prime
numbers? - Answer 3
Two and three are the only consecutive prime numbers. 2 x 3 = 6, and half of 6 is 3.
Twenty-five less than ten times a number is equal to forty-five. What is the number? -
Answer 7
The equation is 10x - 25 = 45. Then you solve for x.
Which of the following is an isosceles triangle? - Answer a triangle with 2 sides of equal
lengths
What does perimeter measure? - Answer the distance around the outside of a 2D object
What do you find by using the formula of the Pythagorean theorem? - Answer The
length of a hypotenuse of a right triangle when given the lengths of the other two sides.
This formula allows you to determine the length of any side of a right triangle if you
know the measurements of the other two sides.
What is the surface area of a rectangular prism with a length of 6, a width of 4, and a
height of 2? - Answer 88
What makes a 45-45-90 degree triangle unique? - Answer The length of its sides is in
the ratio of 1:1:square root of 2.
Two sides of a triangle measure 4 and 13 and the angle at the vertex where those two
sides meet measures 100 degrees. What is the measure of the third side? - Answer
14.2
use the law of cosines, plug in values, and solve
What is the measure of the bridge from point B to point C in the following figure? -
Answer 17.5
To find the length, you use the tangent formula and solve for the opposite side
If one leg of a right triangle is 8 and the hypotenuse is 10, what is the measure of the
other leg? - Answer 6
Since 8 and 10 are multiples of 4 and 5, you can see this is a 3-4-5 right triangle
multiplied by 2
What is the measure of side "b" in the triangle in the following figure? - Answer 16.8
First you solve for the third angle, which is 60, and then use the Law of Sines.
What is the measure of one angle of a triangle with sides that measure 6, 7, and 14? -
Answer no solution
