Question 1

Solve the problem.
-The formula  N=4x2+3x+2N = 4 x ^ { 2 } + 3 x + 2N=4x2+3x+2  represents the number of households N, in thousands, in a certain city that have a computer x years after 1990. According to the formula, in what year were there 164 thousand households with
Computers in this city?

Accepted Answer

A)  1995
B)  1996
C)  1997
D)  1994

Question 2

Find all x-intercepts of the function.
- f(x) =x−14x+40f ( x )  = x - 14 \sqrt { x } + 40f(x) =x−14x​+40

Accepted Answer

A)  (10, 0) , (4, 0) 
B)  (100, 0) , (16, 0) 
C)    (±10,0) ,(±4,0) ( \pm 10,0 )  , ( \pm 4,0 ) (±10,0) ,(±4,0)  
D)    (±10,0) ,(±2,0) ( \pm \sqrt { 10 } , 0 )  , ( \pm 2,0 ) (±10c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​,0) ,(±2,0)

Question 3

Solve the equation by the quadratic formula.
- x2+12x+21=0x ^ { 2 } + 12 x + 21 = 0x2+12x+21=0

Accepted Answer

A)    6±216 \pm \sqrt { 21 }6±21c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
B)    6+156 + \sqrt { 15 }6+15c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
C)    −12+21- 12 + \sqrt { 21 }−12+21c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
D)    −6±15- 6 \pm \sqrt { 15 }−6±15c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​

Question 4

Write an equation that has the given solutions.
- 7+i,7−i7 + i , 7 - i7+i,7−i

Accepted Answer

A)    x2+14x−50=0x ^ { 2 } + 14 x - 50 = 0x2+14x−50=0 
B)    x2+14x−48=0x ^ { 2 } + 14 x - 48 = 0x2+14x−48=0 
C)    x2−14x+48=0x ^ { 2 } - 14 x + 48 = 0x2−14x+48=0 
D)    x2−14x+50=0x ^ { 2 } - 14 x + 50 = 0x2−14x+50=0

Question 5

Solve the equation.
- 14y−21=y+2\sqrt { 14 y - 21 } = y + 214y−21​=y+2

Accepted Answer

A)  -5
B)  -4
C)  6
D)  5

Question 6

Find the vertex and axis of symmetry of the graph of the function.
- f(x) =x2+1f ( x )  = x ^ { 2 } + 1f(x) =x2+1

Accepted Answer

A)  vertex: (0, 1) ; x = 0
B)  vertex: (1, 0) ; x = 1
C)  vertex: (-1, 0) ; x = -1
D)  vertex: (0, -1) ; x = 0

Question 7

Solve the inequality and give the solution set in set builder notation.
- x−6x+9<0\frac { x - 6 } { x + 9 } < 0x+9x−6​<0

Accepted Answer

A) 6 \}">{x∣x>6}\{ x \mid x > 6 \}{x∣x>6} B) {x∣−9{x∣x<−9 or x>6}\{ x \mid x < - 9 ext { or } x > 6 \}{x∣x<−9 or x>6}

Question 8

Solve the equation by the quadratic formula.
- 23c2−103c+43=0\frac { 2 } { 3 } c ^ { 2 } - \frac { 10 } { 3 } c + \frac { 4 } { 3 } = 032​c2−310​c+34​=0

Accepted Answer

A)    −10±174\frac { - 10 \pm \sqrt { 17 } } { 4 }4−10±17c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
B)    −5±172\frac { - 5 \pm \sqrt { 17 } } { 2 }2−5±17c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
C)    10±172\frac { 10 \pm \sqrt { 17 } } { 2 }210±17c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
D)    5±172\frac { 5 \pm \sqrt { 17 } } { 2 }25±17c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​

Question 9

Solve the equation by the quadratic formula.
- 16x2+1=3x16 x ^ { 2 } + 1 = 3 x16x2+1=3x

Accepted Answer

A)    3±i5532\frac { 3 \pm \mathrm { i } \sqrt { 55 } } { 32 }323±i55c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
B)    −3±5532\frac { - 3 \pm \sqrt { 55 } } { 32 }32−3±55c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
C)    3±5532\frac { 3 \pm \sqrt { 55 } } { 32 }323±55c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
D)    −3±i5532\frac { - 3 \pm \mathrm { i } \sqrt { 55 } } { 32 }32−3±i55c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​

Question 10

Solve the equation.
- (−6x−6) 2=9(−6x−6) −18( - 6 x - 6 )  ^ { 2 } = 9 ( - 6 x - 6 )  - 18(−6x−6) 2=9(−6x−6) −18

Accepted Answer

A)    0,120 , \frac { 1 } { 2 }0,21​ 
B)    2,1122,1 \frac { 1 } { 2 }2,121​ 
C)  6, 3
D)    −2,−112- 2 , - 1 \frac { 1 } { 2 }−2,−121​

Question 11

Find the x-intercepts (if any) of the graph of the function. If the x-intercepts are irrational, round your answers to the
nearest tenth.
- f(x) =−x2+11x−30f ( x )  = - x ^ { 2 } + 11 x - 30f(x) =−x2+11x−30

Accepted Answer

A)  x-intercepts: (5, 0) and (6, 0) 
B)  x-intercepts: (5, 0) and (-6, 0) 
C)  x-intercepts: (-5, 0) and (-6, 0) 
D)  No x-intercepts

Question 12

Solve the problem.
-The product of a number and 3 less than the number is 18. Find the number.

Accepted Answer

A)  -6 or 3
B)  -7 or 2
C)  -3 or 6
D)  -2 or 7

Question 13

Solve the problem.
-The accumulative number of vehicles passing over a bridge during rush hour is given by the formulahe formula  C=2t2,C = 2 t ^ { 2 },C=2t2,  where C is the number of vehicles and t is the minutes past  7 A.M., 0≤t≤607 	ext { A.M., } 0 \leq t \leq 607 A.M., 0≤t≤60  . At what time will 578 vehicles have passed over the bridge?

Accepted Answer

A)  7:17 A.M.
B)  7:20 A.M.
C)  7:23 A.M.
D)  7:18 A.M.

Question 14

Solve for the indicated variable. Assume the variable you are solving for must be greater than 0.
-A  A=w(p−2w2) , for wA = w \left( \frac { p - 2 w } { 2 } ight)  , 	ext { for } wA=w(2p−2w​) , for w

Accepted Answer

A)    w=p+p2−16A4w = \frac { p + \sqrt { p ^ { 2 } - 16 A } } { 4 }w=4p+p2−16Ac-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
B)    w=2p+p2−16A4w = \frac { 2 p + \sqrt { p ^ { 2 } - 16 A } } { 4 }w=42p+p2−16Ac-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
C)    w=−2p+p2+16A4w = \frac { - 2 p + \sqrt { p ^ { 2 } + 16 A } } { 4 }w=4−2p+p2+16Ac-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
D)    w=p+(p−4
A)  2w = \frac { p + ( p - 4 \sqrt { \mathrm { A } } )  } { 2 }w=2p+(p−4Ac-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​) ​

Question 15

Solve the problem.
-A ladder that is 13 feet long is 5 feet from the base of a wall. How far up the wall does the ladder reach?

Accepted Answer

A)  144 ft
B)    194 ft\sqrt { 194 } \mathrm { ~ft }194c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ ft 
C)    22 ft2 \sqrt { 2 } \mathrm { ~ft }22c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ ft 
D)  12 ft

Question 16

Determine whether the parabola opens upward or downward.
- y=−x2+2x−5y = - x ^ { 2 } + 2 x - 5y=−x2+2x−5

Accepted Answer

A)  downward
B)  upward

Question 17

Solve the inequality and graph the solution on a number line.
- x2−2x−3≤0x ^ { 2 } - 2 x - 3 \leq 0x2−2x−3≤0

Accepted Answer

A)   
B)   
C)    
D)

Question 18

Solve the inequality and give the solution in interval notation.
-(x +x 1+) (x 10- 3) ? 0

Accepted Answer

A)    (−10,−1]∪(0,3]( - 10 , - 1 ] \cup ( 0,3 ](−10,−1]∪(0,3] 
B)    (−10,−3]∪(0,1]( - 10 , - 3 ] \cup ( 0,1 ](−10,−3]∪(0,1] 
C)    (−∞,−10) ∪[−1,3]( - \infty , - 10 )  \cup [ - 1,3 ](−∞,−10) ∪[−1,3] 
D)    (−∞,−10) ∪[−3,1]( - \infty , - 10 )  \cup [ - 3,1 ](−∞,−10) ∪[−3,1]

Question 19

Match the graph with the appropriate function.
-

Accepted Answer

A)    h(x) =(x−3) 2+3h ( x )  = ( x - 3 )  ^ { 2 } + 3h(x) =(x−3) 2+3 
B)    g(x) =(x+3) 2−3g ( x )  = ( x + 3 )  ^ { 2 } - 3g(x) =(x+3) 2−3 
C)    f(x) =(x+3) 2+3f ( x )  = ( x + 3 )  ^ { 2 } + 3f(x) =(x+3) 2+3 
D)    j(x) =(x−3) 2−3j ( x )  = ( x - 3 )  ^ { 2 } - 3j(x) =(x−3) 2−3

Question 20

Solve the problem.
-The length of a vegetable garden is 6 feet longer than its width. If the area of the garden is 112 square feet, find its dimensions.

Accepted Answer

A)  w = 7 ft; l = 15 ft
B)  w = 9 ft; l = 15 ft
C)  w = 7 ft; l = 13 ft
D)  w = 8 ft; l = 14 ft

Exam 8: Quadratic Functions

Solve the inequality and graph the solution on a number line. - $x ^ { 2 } - 2 x - 3 \leq 0$ $Solve the inequality and graph the solution on a number line. - x ^ { 2 } - 2 x - 3 \leq 0 A) B) C) D)$

Correct Answer
verified

Solve the equation. - $\sqrt { 14 y - 21 } = y + 2$

Correct Answer
verified

Correct Answer
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Match the graph with the appropriate function. - $Match the graph with the appropriate function. - A) h ( x ) = ( x - 3 ) ^ { 2 } + 3 B) g ( x ) = ( x + 3 ) ^ { 2 } - 3 C) f ( x ) = ( x + 3 ) ^ { 2 } + 3 D) j ( x ) = ( x - 3 ) ^ { 2 } - 3$

Correct Answer
verified

Solve the equation by the quadratic formula. - $\frac { 2 } { 3 } c ^ { 2 } - \frac { 10 } { 3 } c + \frac { 4 } { 3 } = 0$

Correct Answer
verified

Write an equation that has the given solutions. - $7 + i , 7 - i$

Correct Answer
verified

Solve the equation. - $( - 6 x - 6 ) ^ { 2 } = 9 ( - 6 x - 6 ) - 18$

Correct Answer
verified

Solve the problem. -A ladder that is 13 feet long is 5 feet from the base of a wall. How far up the wall does the ladder reach?

Correct Answer
verified

Solve the inequality and give the solution set in set builder notation. - $\frac { x - 6 } { x + 9 } < 0$

Correct Answer
verified

Solve the problem. -The product of a number and 3 less than the number is 18. Find the number.

Correct Answer
verified

Solve the equation by the quadratic formula. - $16 x ^ { 2 } + 1 = 3 x$

Correct Answer
verified

Find all x-intercepts of the function. - $f ( x ) = x - 14 \sqrt { x } + 40$

Correct Answer
verified

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = x ^ { 2 } + 1$

Correct Answer
verified

Determine whether the parabola opens upward or downward. - $y = - x ^ { 2 } + 2 x - 5$

Correct Answer
verified

Solve for the indicated variable. Assume the variable you are solving for must be greater than 0. -A $A = w \left( \frac { p - 2 w } { 2 } \right) , \text { for } w$

Correct Answer
verified

Solve the problem. -The formula $N = 4 x ^ { 2 } + 3 x + 2$ represents the number of households N, in thousands, in a certain city that have a computer x years after 1990. According to the formula, in what year were there 164 thousand households with Computers in this city?

Correct Answer
verified

Find the x-intercepts (if any) of the graph of the function. If the x-intercepts are irrational, round your answers to the nearest tenth. - $f ( x ) = - x ^ { 2 } + 11 x - 30$

Correct Answer
verified

Solve the inequality and give the solution in interval notation. -(x +x 1+) (x 10- 3) ? 0

Correct Answer
verified

Solve the equation by the quadratic formula. - $x ^ { 2 } + 12 x + 21 = 0$

Correct Answer
verified

Solve the problem. -The length of a vegetable garden is 6 feet longer than its width. If the area of the garden is 112 square feet, find its dimensions.

Correct Answer
verified

Exam 8: Quadratic Functions

Solve the inequality and graph the solution on a number line. - x2−2x−3≤0x ^ { 2 } - 2 x - 3 \leq 0x2−2x−3≤0

Correct AnswerverifiedShow Answer

Solve the equation. - 14y−21=y+2\sqrt { 14 y - 21 } = y + 214y−21​=y+2

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Match the graph with the appropriate function. -

Correct AnswerverifiedShow Answer

Solve the equation by the quadratic formula. - 23c2−103c+43=0\frac { 2 } { 3 } c ^ { 2 } - \frac { 10 } { 3 } c + \frac { 4 } { 3 } = 032​c2−310​c+34​=0

Correct AnswerverifiedShow Answer

Write an equation that has the given solutions. - 7+i,7−i7 + i , 7 - i7+i,7−i

Correct AnswerverifiedShow Answer

Solve the equation. - (−6x−6) 2=9(−6x−6) −18( - 6 x - 6 ) ^ { 2 } = 9 ( - 6 x - 6 ) - 18(−6x−6) 2=9(−6x−6) −18

Correct AnswerverifiedShow Answer

Solve the problem. -A ladder that is 13 feet long is 5 feet from the base of a wall. How far up the wall does the ladder reach?

Correct AnswerverifiedShow Answer

Solve the inequality and give the solution set in set builder notation. - x−6x+9<0\frac { x - 6 } { x + 9 } < 0x+9x−6​<0

Correct AnswerverifiedShow Answer

Solve the problem. -The product of a number and 3 less than the number is 18. Find the number.

Correct AnswerverifiedShow Answer

Solve the equation by the quadratic formula. - 16x2+1=3x16 x ^ { 2 } + 1 = 3 x16x2+1=3x

Correct AnswerverifiedShow Answer

Find all x-intercepts of the function. - f(x) =x−14x+40f ( x ) = x - 14 \sqrt { x } + 40f(x) =x−14x​+40

Correct AnswerverifiedShow Answer

Find the vertex and axis of symmetry of the graph of the function. - f(x) =x2+1f ( x ) = x ^ { 2 } + 1f(x) =x2+1

Correct AnswerverifiedShow Answer

Determine whether the parabola opens upward or downward. - y=−x2+2x−5y = - x ^ { 2 } + 2 x - 5y=−x2+2x−5

Correct AnswerverifiedShow Answer

Solve for the indicated variable. Assume the variable you are solving for must be greater than 0. -A A=w(p−2w2) , for wA = w \left( \frac { p - 2 w } { 2 } \right) , \text { for } wA=w(2p−2w​) , for w

Correct AnswerverifiedShow Answer

Solve the problem. -The formula N=4x2+3x+2N = 4 x ^ { 2 } + 3 x + 2N=4x2+3x+2 represents the number of households N, in thousands, in a certain city that have a computer x years after 1990. According to the formula, in what year were there 164 thousand households with Computers in this city?

Correct AnswerverifiedShow Answer

Find the x-intercepts (if any) of the graph of the function. If the x-intercepts are irrational, round your answers to the nearest tenth. - f(x) =−x2+11x−30f ( x ) = - x ^ { 2 } + 11 x - 30f(x) =−x2+11x−30

Correct AnswerverifiedShow Answer

Solve the inequality and give the solution in interval notation. -(x +x 1+) (x 10- 3) ? 0

Correct AnswerverifiedShow Answer

Solve the equation by the quadratic formula. - x2+12x+21=0x ^ { 2 } + 12 x + 21 = 0x2+12x+21=0

Correct AnswerverifiedShow Answer

Solve the problem. -The length of a vegetable garden is 6 feet longer than its width. If the area of the garden is 112 square feet, find its dimensions.

Correct AnswerverifiedShow Answer

Solve the inequality and graph the solution on a number line. - $x ^ { 2 } - 2 x - 3 \leq 0$ $Solve the inequality and graph the solution on a number line. - x ^ { 2 } - 2 x - 3 \leq 0 A) B) C) D)$

Correct Answer
verified

Solve the equation. - $\sqrt { 14 y - 21 } = y + 2$

Correct Answer
verified

Correct Answer
verified

Match the graph with the appropriate function. - $Match the graph with the appropriate function. - A) h ( x ) = ( x - 3 ) ^ { 2 } + 3 B) g ( x ) = ( x + 3 ) ^ { 2 } - 3 C) f ( x ) = ( x + 3 ) ^ { 2 } + 3 D) j ( x ) = ( x - 3 ) ^ { 2 } - 3$

Correct Answer
verified

Solve the equation by the quadratic formula. - $\frac { 2 } { 3 } c ^ { 2 } - \frac { 10 } { 3 } c + \frac { 4 } { 3 } = 0$

Correct Answer
verified

Write an equation that has the given solutions. - $7 + i , 7 - i$

Correct Answer
verified

Solve the equation. - $( - 6 x - 6 ) ^ { 2 } = 9 ( - 6 x - 6 ) - 18$

Correct Answer
verified

Correct Answer
verified

Solve the inequality and give the solution set in set builder notation. - $\frac { x - 6 } { x + 9 } < 0$

Correct Answer
verified

Correct Answer
verified

Solve the equation by the quadratic formula. - $16 x ^ { 2 } + 1 = 3 x$

Correct Answer
verified

Find all x-intercepts of the function. - $f ( x ) = x - 14 \sqrt { x } + 40$

Correct Answer
verified

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = x ^ { 2 } + 1$

Correct Answer
verified

Determine whether the parabola opens upward or downward. - $y = - x ^ { 2 } + 2 x - 5$

Correct Answer
verified

Solve for the indicated variable. Assume the variable you are solving for must be greater than 0. -A $A = w \left( \frac { p - 2 w } { 2 } \right) , \text { for } w$

Correct Answer
verified

Solve the problem. -The formula $N = 4 x ^ { 2 } + 3 x + 2$ represents the number of households N, in thousands, in a certain city that have a computer x years after 1990. According to the formula, in what year were there 164 thousand households with Computers in this city?

Correct Answer
verified

Find the x-intercepts (if any) of the graph of the function. If the x-intercepts are irrational, round your answers to the nearest tenth. - $f ( x ) = - x ^ { 2 } + 11 x - 30$

Correct Answer
verified

Correct Answer
verified

Solve the equation by the quadratic formula. - $x ^ { 2 } + 12 x + 21 = 0$

Correct Answer
verified

Correct Answer
verified