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30. Write the equation that describes the line in slopeintercept<br />
form.<br />
slope = 4, point (3, –2) is on the line<br />
a. y = 4x + 14<br />
b. y = 4x – 14<br />
c. y = 4x + 10<br />
d. y = 4x – 2<br />
31. Write an equation in point-slope form for the line<br />
that has a slope of 6 and contains the point (–8, –7).<br />
a. x – 8 = 6(y – 7)<br />
b. y + 8 = 6(x + 7)<br />
c. y – 7 = 6(x – 8)<br />
d. y + 7 = 6(x + 8)<br />
32. Write an equation in slope-intercept form for the<br />
line parallel to y = 5x – 2 that passes through the<br />
point (8, –2).<br />
a. y = − 1 5 x – 2<br />
b. y = − 1 5 x – 2 5<br />
c. y = 5x + 32<br />
d. y = 5x – 42<br />
33. Tell whether the ordered pair (5, –3) is a solution of<br />
the system .<br />
a. no<br />
b. yes<br />
34. Solve by substitution. Express your<br />
answer as an ordered pair.<br />
a. ( 3, −2)<br />
b. (− 8 3 , –3)<br />
c. (− 4 3 , 1)<br />
d. (−2, 3)<br />
35. Solve by elimination. Express your<br />
answer as an ordered pair.<br />
a. (–2, –3)<br />
b. (–2, 0)<br />
c. (0, –2)<br />
d. (–8, –6)<br />
36. Solve by elimination. Express your<br />
answer as an ordered pair.<br />
a. (3, 4)<br />
b. (4, 3)<br />
c. (3, 2)<br />
d. ( 4 7 , 8 5 )<br />
37. An airplane travels 900 miles from Houston to<br />
Miami in 6 hours against the wind. On its return<br />
trip, with the wind, it takes only 5 hours. Find the<br />
rate of the airplane with no wind. Find the rate of<br />
the wind.<br />
a. The airplane flies at 155 mi/h with no wind.<br />
The rate of the wind is 135 mi/h.<br />
b. The airplane flies at 165 mi/h with no wind.<br />
The rate of the wind is 135 mi/h.<br />
c. The airplane flies at 155 mi/h with no wind.<br />
The rate of the wind is 15 mi/h.<br />
d. The airplane flies at 165 mi/h with no wind.<br />
The rate of the wind is 15 mi/h.<br />
38. The sum of the digits of a two-digit number is 12.<br />
When the digits are reversed, the new number is 18<br />
less than the original number. Find the original<br />
number. Check your answer.<br />
a. The original number is 75.<br />
b. The original number is 84.<br />
c. The original number is 57.<br />
d. The original number is 93.<br />
39. The planet Mars has an average distance from the<br />
sun of about 141,600,000 miles. Write this number<br />
in scientific notation.<br />
a. 14.16 × 10<br />
b. 1.416 × 10 7<br />
c. 1.416 × 10 8<br />
d. 0.1416 × 10<br />
40. Simplify .<br />
a.<br />
b.<br />
c.<br />
d.
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