Keystone Algebra Review

​What are negative exponents?

​Evaluate different values for the variable:: try integers (positive and negative), zero, fractions, decimals

​Simplify the radical portion and then multiple by the constant

​Find the largest number/term that divides evenly into them

GCF of 14 and 21 is 7. 7 is the largest number that divides in 14 (2 times) and 21 (3 times).

GCF of x³ and x⁵ is x³. x³ divides into x⁵ (1 time) and x⁵ (with 2 remaining).

GCF of 10x⁶ and 15x⁹ is 5x⁶. 5 is the GCF of 10 and 15. x⁶ is the GCF of x⁶ and x⁹.

​Find the smallest multiple common in each number/term

LCM of 4 and 6 is 12. The multiples of 4 are 4,8,12,16,20... and the multiples of 6 are 6,12,18,24,30... They first match at 12.

LCM of x³ and x⁵ is x⁵. Find the largest exponent of x.

LCM of 10x⁶ and 15x⁹ is 30x⁹. The multiples of 10 and 15 match at 30. The largest exponent of x is x⁹.

Multiply two binomials together by multiplying the First terms together, then the Outer terms, then the Inner terms, and then the Last terms. Combine any like-terms for the final answer.

The slope-intercept form of a line is y = mx +b

For real-world problems, read the problem carefully

1. What do you know?

2. What are you trying to find? Represent this unknown with a variable.

3. Translate the words to math as an equation.

4. Solve the equation.

5. Check your result to verify it answers the question.