SAT Math : Algebra

Study concepts, example questions & explanations for SAT Math

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Example Questions

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Example Question #12 : How To Solve For A Variable As Part Of A Fraction

Solve for x:

Possible Answers:

Correct answer:

Explanation:

In order to solve for x, you must cross multiply the ratio first. They will be equal to each other. 

, you then can add 3x to both sides and 402 to both sides as well. You are left with:

 divide both sides by 9 to get the final answer:

Example Question #281 : Exponents

If , which of the following could be the value of ?

Possible Answers:

Correct answer:

Explanation:

Take the square root of both sides.

Add 3 to both sides of each equation.

Example Question #282 : Exponents

Simplify:

Possible Answers:

Correct answer:

Explanation:

= x3y3z3 + x2y + x0y0 + x2y

x3y3z3 + x2y + 1 + x2y

x3y3z3 + 2x2y + 1

Example Question #6 : How To Use Foil With Exponents

Use the FOIL method to simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

Use the FOIL method to simplify the following expression:

Step 1: Expand the expression.

Step 2: FOIL

First:

Outside:

Inside:

Last:

Step 2: Sum the products.

Example Question #9 : How To Use Foil With Exponents

Square the binomial.

Possible Answers:

Correct answer:

Explanation:

We will need to FOIL.

First:

Inside:

Outside:

Last:

Sum all of the terms and simplify.

Example Question #4 : How To Use Foil With Exponents

Which of the following is equivalent to 4c(3d)– 8c3d + 2(cd)4?

Possible Answers:

2cd(54d2 – 4c+ c* d3)

cd(54c * d– 4c+ c* d2)

2(54d– 4c+ 2c* d3)

None of the other answers

Correct answer:

2cd(54d2 – 4c+ c* d3)

Explanation:

First calculate each section to yield 4c(27d3) – 8c3d + 2c4d= 108cd– 8c3d + 2c4d4. Now let's factor out the greatest common factor of the three terms, 2cd, in order to get:  2cd(54d– 4c+ c3d3).

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