# Algebra

Words of “Wiz-dom”The algebra on the SAT is not very challenging mechanically. As usual, the difficulty lies in the understanding or reasoning related to the problems. The big challenge is these are word problems that will challenge you in the process of translating words into math operations.  If you need a refresher, refer to the following Word-Math Operation Chart.

You’ll need to be able to simplify a few algebra equations as well as setup and solve some algebra equations. About as difficult as it gets is using two equations with two unknowns and factoring simple quadratic equations. (You won’t need to use the quadratic formula!) To help refresh your memory of the required algebra techniques, we’re going to start with some practice exercises.

Simplify the Following:

Solve the Following:

(2n + 4) / 2 + 3n = 14 n =

3a – 2b/c = 7 c =

Solve for x and show x on the number line:

2x > 4

3x < -2

-3x > -7

-3(x+2) > 15

Write a formula for:

2 more than 4 times a number is 3.

One-third of one more than a number plus the square of that number is 12.

Solve the following two different pairs of equations for p and q:

2p + q = 8
3p – q = 2

3p + 2q = 19
7p – 3q = 6

Multiply the Following:

(m + 4) (m + 2)
(m + 4) (m – 2)
(m + 4) (m + 4)
(m + 4) (m – 4)
(m – 4) (m – 4)

Factor/Solve the Following:

x2 + 2x + 1 = 0
x2 – x = 2
x2 – 36 = 0

Words of “Wiz-dom”–

Explanation for Words of “Wiz-dom”

## Sample Questions

5.  If  , what is the value of y when x = 1 and z = 2?

(A) 1/4
(B) 1/2
(C) 1
(D) 2
(E) 4

6.  If a number is doubled and then divided by three, the result is 4. What is the number?

(A) 12
(B) 6
(C) 4
(D) 3
(E) 2

8.  If , what is the value of ?

(A) 8
(B) 6
(C) 4
(D) 2
(E) 0

10. In the following formula, “E” represents the amount of energy it takes to play Nintendo. If , what number does E have to be multiplied by when f is multiplied by 3, h is divided by 2 and m is multiplied by .

(A) 3
(B) 6
(C) 9
(D) 27
(E) 54