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CPM Unit 7 Key Quest
Rationals
Question | Answer |
---|---|
Simplify: 3x³/6x² | x/2 |
How do you simplify: 3x³/6x² ? | Factor out the 3. Put x to the 3-2 on the top. |
What is the next step in simplifying (x²+5x+6) / (x²-9) | Factor everything. |
What is the next step? (x+3)(x+2) / (x+3)(x-3) | Cancel the (x+3) |
How do you multiply a problem like: 4/3 x 3/2 ? | Factor out any GCF from the bottom and the top. Multiply across. |
What is the difference between multiplying and dividing fractions? | You have to flip the second fraction on division. THen they are the same. |
Divide 4/3 by 8/3. | 1/2 |
What is the first step in adding or subtracting fractions? | Find the Least Common Multiple of the denominators. |
Simplify: 2/3 + 2/3 | 4/3 |
What is the Least Common Denominator for 4/3x + 3/2 ? | 6x |
How do you add a problem like: 4/3x + 3/2 ? | Find the least common denominator; change the fractions to that denominator by multiplying; add the numerators; and simplify. |
How do you add a problem like: 2/3 + 2/3 ? | Add the numerators; and simplify if needed. |
How do you solve a rational equation like: 2 / 3x+1 = 3 / x+4 | Cross multiply then solve for x. |
What is the next step step in simplifying this problem: 1/(x+1)(x+2) + 2/(x+1) | Multiply the top and the bottom of the second fraction by (x+2). |
What is the next step in simplifying this problem: 1/(x+1)(x+2) + 2(x+2)/(x+1)(x+2) | Add the numerators. |
What is the next step in simplifying this problem: 1+2(x+2) / (x+1)(x+2) | Distribute the two |
What is the next step in simplifying this problem: (1+2x+4) / (x+1)(x+2) | Combine like terms. The final answer is (2x+5) / (x+1)(x+2) |
What is the first step in simplifying this problem: 1/(x²+ 3x+2) + 2/(x+1) | Factor everything |
How do you solve a rational equation like: (3 / x+1) + (x / x+1) = (5 / x+1) | Eliminate the denominators and solve for x. |