(e) Note the order of operations :
2. Gas Mileage = 157.2 รท 6 = 26.2 So, the gas mileage is 26.2 miles per gallon.
3. Here’s a diagram with variables .
Equation:
So, the width of the
chocolate bar is 4 feet and the length is 4 + 3(4) = 16 feet.
4. (a)
| 5x − 5.1 = 3x − 2.3 -> 2x − 5.1 =
−2.3 |
(Subtracting 3x from both sides) |
| 2x = 2.8 |
(Adding 5.1 to both sides) |
| x = 1.4 |
(Dividing both sides by 2) |
Note that −2.3 +
5.1 = 2.8 since 5.1 − 2.3 = 2.8.
Check:
Left-side of equation: 5(1.4) − 5.1 = 7 − 5.1 = 1.9
Right- side of equation : 3(1.4) − 2.3 = 4.2 − 2.3 = 1.9
(b)
y + 2y + 7 = 1
 3y + 7 = 1 |
(Combining like terms on the
left -side) |
| 3y = −6 |
(Subtracting 7 from both sides) |
| y = −2 |
(Dividing both sides by 3) |
Check:
Left-side of equation: −2 +
2(−2) + 7 = −2 − 4 + 7 = 1
Right-side of equation: 1 3
5. The tax on the hybrid car will be 22,
000(0.08) = 1760 dollars. So, the total bill will be 22, 000 + 1760 = 23, 760
dollars.
7. Moving the decimal in 4.498 by 9 digits to
the right: Distance = 4,498,000,000 kilometers
8. (a)
(b)
 |
(FOIL) |
 |
(Combining like terms) |
(c)
9.
The area of the sail is A =1/2 (8)(6)
=1/2 (48) = 24 square feet .
So, the total cost will be 24(2.50) = 60 dollars.
10.
For the point (3,−1), move 3 units to the right
and 1 unit down from the origin.
For the point (−2, 0), move 2 units left
from the origin.
For the point (0,3/2), move 1 and a half units up
from the origin.
(Note:3/2 = 1+1/2 or 1.5) |
 |
11.(a)
 |
|
 |
|
 |
(Subtracting 4 from each side.) |
 |
(Mult. both sides by 2 or div. by 1/2) |
So, the complete ordered pair is (1 , 2).
(b)
 |
|
 |
|
 |
(Subtracting 3 from each side.) |
 |
(Dividing both sides by 4) |
So, the complete ordered pair is ( 1/2 , 6).
