Flashcards
1_review chapter 1
Cards in this deck (31)
- 1—a) {1,2,3,4,5}
b) {0,1,2,3,4}
c) Yes, x not repeated - 2—1) find slope = (2 + 1)/-6
2) put in point :
2 = -1/2(-4) + b
3) solve for b and write answer
- 3—a) m = 4/3
b) x intercept is -3
c) y intercept 4
- 4—a) (-4)(20)= -80
b) f(-4) = -5
- 5—1) slope = (3.4 -2.3)/(0- - 1) = 1.1
2) put point in to solve for b or
notice b = 0
3) y = 1.1x = 3.4
- 6Note: Use x = -1 and x = 1 on the non linear function!average rate: find rate
( f(-1) - f(1) )/(2) =
(-4 - 2)/ 2
= -6/2 = -3
- 7—a) f(-1) = -4
b) -2 - 1 = -3
c) g(-1) = -3
- 8—-3 ( 3x - 2 ) = -3x + 3x - 2
-9x = 4
x = -4/9
- 9—x = - 3 is a vertical line that passes through x = -3. Note: slope is undefined!
the other line has a y intercept 2 and slope -2/5. Start at 2, go down 2 and over 5
- 10—1) graph the left side of the equation:
y = -x^2 - 3x
2) graph the right side of the equation:
y = 2-/x
3) take the x coordinate of the point of intersection. Only x!
- 11—1) find slope of given line: m = 2
2) negative reciprocal gives m = -1/2
3) put in point and solve for b:
-8 = -1/2 (3) + b
4) answer: y = -1/2 x -6.5
- 12—1) find slope of given line: m = 5/2
2) use same slope
3) put in point and solve for b:
-8 = 5/2 (3) + b
4) answer: y = 5/2 x - 15.5
- 13—kyx:
1) m = kv
2) 8 = k(5) so k = 8/5
3) 7.1 = 8/5 v. Solving:
v =35.5/8
- 14—a) 2
b) 7
c) +3.14
- 15—1) no need to distribute
2) Mult by LCD of 5x
3) result is 50 - 30x = 2x
4) x = 50/32 = 25/16
- 16—think test first.
1) cover up, set up: -8-x < 3x
and 3x < 6x
2) solve x =-2 & 0
3) test intervals: example x = 3 gives
-8 - (3) < 3(3) < 6(3)
-11 < 9 < 18 YES.
Check ALL intervals. (0, infin)
- 17—domain: [-5, 5 )
range [0, 5 )
Be careful about using correct brackets
- 18—0 + 3 = 3
- 19—clean up, + & -
1) | 2x - 1| = 2
2) 2x - 1 = 2 & 2x - 1 = -2
3) x = 3/2 & -1/2
check answers! they work!!!!
- 20—a) all reals
b) all reals, x not 0, -12
c) -3x + 1 >= 0 so x <= 1/3
- 21—a) (3,-3) Note: sign change
b) sqrt of 4 = 2
c) put point at (3,-3) then go 2 up, down, left and right to find 4 points. Now "connect" to see circle
- 22—x^2 + (y+6)^2 = 64
notice 64 and signs.
- 23—slope:
( (-54) - ( -4 ) )/ ( 6 - 1 )
= 10
- 24—put point in!
-1 = -5 ( 4) + b
so y = -5 x + 19
- 25—a) x = -4
b) y = 7
Note a) has undefined slope
- 26—a) f(4) = 1.1 + .08 = 1.18. for 4 grams of meat it will cost $1.18
b) 2.89 = 1.1 +.02m.
Now solve for m.
- 27it should read 6x.distribute then LCD
1) 9/4 -18x -2/5 = 0
2) 45 - 360x -8 = 0.
3) solve for x: x = 37/360
- 28What are key words when looking for the slope in a word problem?"per", "for each" & "for every"
- 29what are key words to look for when finding the y intercept in a word problem?"initial" or "begin with" or "start with"
- 30How are the different ways to find the slope?1) from graph: rise over run OR choose 2 points on the graph and use formula
2) From table or two points, use formula (delta y over delta x)
3) word problem: look for key words or find "2 points" - 31—
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- Mathematics Flashcards on 1_review chapter 1, created by lance erickson on 31/12/2016.
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- Created by lance erickson · Dec 31, 2016
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