All SAT Math Resources
Example Questions
Example Question #1151 : Algebra
If , what is 40 percent of ?
To find 40 percent of multiply
The result is
Example Question #1152 : Algebra
Solve for .
First distribute the fractions:
Combine like terms:
Example Question #1153 : Algebra
Solve for .
First distribute to eliminate the parentheses:
Then combine like terms:
Example Question #1154 : Algebra
x = 1/2
What does 1/x + 1/(x + 4) equal?
20
4
20/9
9/2
4/9
20/9
1/x + 1/(x+4) =
1/(1/2) + 1/ (1/2 + 4) =
1/ (1/2) + 1 / (9/2) =
2 + 2/9
20/9
Example Question #1 : How To Solve For A Variable As Part Of A Fraction
Solve for .
Cross multiply.
Dsitribute.
Solve for .
Example Question #1155 : Algebra
If , what is the value of ?
To solve this question, substitute -5 in for x in the numerator and denominator. Remember that the square of a negative number is positive.
45 / -9 = -5
Example Question #1156 : Algebra
Solve:
We want to isolate the x. First, we take away 3 from both sides. Then we have:
To get x by itself, we multiply by the reciprocal on both sides.
Then, we have:
Example Question #1 : How To Solve For A Variable As Part Of A Fraction
If , then what is the value of ?
none of these
38/3
3/38
7/12
9/114
38/3
cross multiply:
(6)(19) = 9x
114=9x
x = 38/3
Example Question #2 : How To Solve For A Variable As Part Of A Fraction
Find x.
None
Cross multiply:
Example Question #3 : How To Solve For A Variable As Part Of A Fraction
The numerator of a fraction is the sum of 4 and 5 times the denominator. If you divide the fraction by 2, the numerator is 3 times the denominator. Find the simplified version of the fraction.
Let numerator = N and denominator = D.
According to the first statement,
N = (D x 5) + 4.
According to the second statement, N / 2 = 3 * D.
Let's multiply the second equation by –2 and add itthe first equation:
–N = –6D
+[N = (D x 5) + 4]
=
–6D + (D x 5) + 4 = 0
–1D + 4 = 0
D = 4
Thus, N = 24.
Therefore, N/D = 24/4 = 6.
Certified Tutor