example
Translate and solve: The difference of
n and
4.3 is
2.1.
Solution
Translate. |
 |
Add 4.3 to both sides of the equation. |
n−4.3−4.3=2.1+4.3 |
Simplify. |
n=6.4 |
Check: |
Is the difference of n and 4.3 equal to 2.1? |
Let n=6.4 : |
Is the difference of 6.4 and 4.3 equal to 2.1? |
Translate. |
6.4−4.3=?2.1 |
Simplify. |
2.1=2.1✓ |
example
Translate and solve: The product of
−3.1 and
x is
5.27
Answer:
Solution
Translate. |
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Divide both sides by −3.1 . |
−3.1−3.1x=−3.15.27 |
Simplify. |
x=−1.7 |
Check: |
Is the product of −3.1 and x equal to 5.27 ? |
Let x=−1.7 : |
Is the product of −3.1 and −1.7 equal to 5.27 ? |
Translate. |
−3.1(−1.7)=?5.27 |
Simplify. |
5.27=5.27✓ |
example
Translate and solve: The quotient of
p and
−2.4 is
6.5.
Answer:
Solution
Translate. |
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Multiply both sides by −2.4 . |
−2.4(−2.4p)=−2.4(6.5) |
Simplify. |
p=−15.6 |
Check: |
Is the quotient of p and −2.4 equal to 6.5 ? |
Let p=−15.6: |
Is the quotient of −15.6 and −2.4 equal to 6.5 ? |
Translate. |
−2.4−15.6=?6.5 |
Simplify. |
6.5=6.5✓ |
example
Translate and solve: The sum of
n and
2.9 is
1.7.
Answer:
Solution
Translate. |
 |
Subtract 2.9 from each side. |
n+2.9−2.9=1.7−2.9 |
Simplify. |
n=−1.2 |
Check: |
Is the sum n and 2.9 equal to 1.7 ? |
Let n=−1.2: |
Is the sum −1.2 and 2.9 equal to 1.7 ? |
Translate. |
−1.2+2.9=?1.7 |
Simplify. |
1.7=1.7✓ |