Question 1

Solve the equation.
- −3+p=7−32−p\sqrt { - 3 + p } = 7 - \sqrt { 32 - p }−3+p​=7−32−p​

Accepted Answer

A)    {28}\{ 28 \}{28} 
B)    {7}\{ 7 \}{7} 
C)    {7,28}\{ 7,28 \}{7,28} 
D)    {±28}\{ \pm 28 \}{±28}

Question 2

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The length of a rectangle is 4 yd more than twice the width x. The area is  390yd2390 \mathrm { yd } ^ { 2 }390yd2  . Find the dimensions of the given shape.

Accepted Answer

A)   26 yd. by 15 yd.
B)   6.5 yd. by 60 yd.
C)   13 yd. by 30 yd.
D)   13 yd. by 26 yd.

Question 3

Solve the inequality. Write the solution set in interval notation.
- −2<−2y+11<6- 2 < - 2 y + 11 < 6−2<−2y+11<6

Accepted Answer

A)    (52,132) \left( \frac { 5 } { 2 } , \frac { 13 } { 2 } \right) (25​,213​)  
B)    [52,132]\left[ \frac { 5 } { 2 } , \frac { 13 } { 2 } \right][25​,213​] 
C)    (132,6) \left( \frac { 13 } { 2 } , 6 \right) (213​,6)  
D)    (132,52) \left( \frac { 13 } { 2 } , \frac { 5 } { 2 } \right) (213​,25​)

Question 4

Solve the absolute value equation.
- ∣b+4∣−2=4| b + 4 | - 2 = 4∣b+4∣−2=4

Accepted Answer

A)    {10,−10}\{ 10 , - 10 \}{10,−10} 
B)    {−10,6}\{ - 10,6 \}{−10,6} 
C)    {−10,2}\{ - 10,2 \}{−10,2} 
D)    {6,2}\{ 6,2 \}{6,2}

Question 5

Write the word or phrase that best completes each statement or answers the question. Provide the missing information.
-Given an equation of the form $u ^ { m / n } = k$ , raise both sides to the power to isolate u (that is, to
obtain $u ^ { 1 }$ on the left side).

Accepted Answer

The answer of Write the word or phrase that best...

Question 6

Solve the absolute value equation.
- ∣6z−3∣=7| 6 z - 3 | = 7∣6z−3∣=7

Accepted Answer

A)    {−23}\left\{ - \frac { 2 } { 3 } \right\}{−32​} 
B)    {53,−23}\left\{ \frac { 5 } { 3 } , - \frac { 2 } { 3 } \right\}{35​,−32​} 
C)    {7,−6}\{ 7 , - 6 \}{7,−6} 
D)    {53}\left\{ \frac { 5 } { 3 } \right\}{35​}

Question 7

Write the word or phrase that best completes each statement or answers the question. Provide the missing information.
-Consider the equation $\left( 4 x ^ { 2 } + 1 \right) ^ { 2 } + 4 \left( 4 x ^ { 2 } + 1 \right) + 4 = 0 .$ 4 = 0. If the substitution
u = ________is made, then the equation becomes $u ^ { 2 } + 4 u + 4 = 0$

Accepted Answer

The answer of Write the word or phrase that best...

Question 8

Choose the one alternative that best completes the statement or answers the question.
Solve the equation.
- x3−8=x−2x ^ { 3 } - 8 = x - 2x3−8=x−2

Accepted Answer

A)    {2,1±3}\{ 2,1 \pm \sqrt { 3 } \}{2,1±3c-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)    {2,−1±i2}\{ 2 , - 1 \pm i \sqrt { 2 } \}{2,−1±i2c-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)    {2,1±i3}\{ 2,1 \pm \mathrm { i } \sqrt { 3 } \}{2,1±i3c-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)    {2,−1±2}\{ 2 , - 1 \pm \sqrt { 2 } \}{2,−1±2c-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.
- −14x−16=−16(x+1) −112x- \frac { 1 } { 4 } x - \frac { 1 } { 6 } = - \frac { 1 } { 6 } ( x + 1 )  - \frac { 1 } { 12 } x−41​x−61​=−61​(x+1) −121​x

Accepted Answer

A)    {−13}\left\{ - \frac { 1 } { 3 } \right\}{−31​} 
B)   All real numbers
C)    {0}\{ 0 \}{0} 
D)   \{ \}

Question 10

Solve the equation.
- 30m2=216−m430 m ^ { 2 } = 216 - m ^ { 4 }30m2=216−m4

Accepted Answer

A)    {−6i,−i6,i6,6i}\{ - 6 i , - i \sqrt { 6 } , i \sqrt { 6 } , 6 i \}{−6i,−i6c-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'/>​,i6c-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'/>​,6i} 
B)    {−6,−6,6,6}\{ - 6 , - \sqrt { 6 } , \sqrt { 6 } , 6 \}{−6,−6c-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'/>​,6c-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'/>​,6} 
C)    {−6,6,−6i,6i}\{ - \sqrt { 6 } , \sqrt { 6 } , - 6 i , 6 i \}{−6c-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'/>​,6c-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'/>​,−6i,6i} 
D)    {−6,6,−i6,i6}\{ - 6,6 , - i \sqrt { 6 } , i \sqrt { 6 } \}{−6,6,−i6c-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'/>​,i6c-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 11

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The value of n that would make the trinomial $x ^ { 2 } + 20 x + n$ a perfect square trinomial is .

Accepted Answer

The answer of Write the word or phrase that best...

Question 12

The ________property of equality indicates that if $a = b , \text { then } \frac { a } { c } = \frac { b } { c }$ provided tha $c \neq 0$

Accepted Answer

The answer of The ________property of equality indicates that if...

Question 13

Choose the one alternative that best completes the statement or answers the question.
Solve the equation.
- 2n2(n2+6) =54+9n22 n ^ { 2 } \left( n ^ { 2 } + 6 \right)  = 54 + 9 n ^ { 2 }2n2(n2+6) =54+9n2

Accepted Answer

A)    {92,−6}\left\{ \frac { 9 } { 2 } , - 6 \right\}{29​,−6} 
B)    {±322,±i6}\left\{ \pm \frac { 3 \sqrt { 2 } } { 2 } , \pm i \sqrt { 6 } \right\}{±232c-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'/>​​,±i6c-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)    {322,i6}\left\{ \frac { 3 \sqrt { 2 } } { 2 } , i \sqrt { 6 } \right\}{232c-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'/>​​,i6c-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)    {0,±i6}\{ 0 , \pm \mathrm { i } \sqrt { 6 } \}{0,±i6c-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 14

Write an absolute value inequality equivalent to the expression.
-"All real numbers whose distance from 13 is at most 5"

Accepted Answer

A) ∣y−13∣≤5| y - 13 | \leq 5∣y−13∣≤5 B) 5">∣y−13∣>5| y - 13 | > 5∣y−13∣>5 C) ∣y−5∣≤13| y - 5 | \leq 13∣y−5∣≤13 D) ∣y−13∣<5| y - 13 | < 5∣y−13∣<5

Question 15

Solve the quadratic equation by completing the square and applying the square root property.
- u2+20u+101=0u ^ { 2 } + 20 u + 101 = 0u2+20u+101=0

Accepted Answer

A)    {−10±i}\{ - 10 \pm i \}{−10±i} 
B)    {−10+i}\{ - 10 + i \}{−10+i} 
C)    {10+i}\{ 10 + i \}{10+i} 
D)    {±i}\{ \pm i \}{±i}

Question 16

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The compound inequality a < x and x < b can be written as the three-part inequality .

Accepted Answer

The answer of Write the word or phrase that best...

Question 17

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-For a quadratic equation $a x ^ { 2 } + b x + c = 0$ = 0, the discriminant is given by the expression
___________.

Accepted Answer

The answer of Write the word or phrase that best...

Question 18

Solve the inequality. Write the solution set in interval notation.
- −2(4y−7) +y≥2y−(−8+y) - 2 ( 4 y - 7 )  + y \geq 2 y - ( - 8 + y ) −2(4y−7) +y≥2y−(−8+y)

Accepted Answer

A)    (34,∞) \left( \frac { 3 } { 4 } , \infty \right) (43​,∞)  
B)    (−∞,34) \left( - \infty , \frac { 3 } { 4 } \right) (−∞,43​)  
C)    (−14,∞) \left( - \frac { 1 } { 4 } , \infty \right) (−41​,∞)  
D)    [−∞,34]\left[ - \infty , \frac { 3 } { 4 } \right][−∞,43​]

Question 19

Solve the rational equation.
- −21x2−x−12−5x−4=3x+3\frac { - 21 } { x ^ { 2 } - x - 12 } - \frac { 5 } { x - 4 } = \frac { 3 } { x + 3 }x2−x−12−21​−x−45​=x+33​

Accepted Answer

A)   \{ \}
B)    {3}\{ 3 \}{3} 
C)    {−4}\{ - 4 \}{−4} 
D)    {−3}\{ - 3 \}{−3}

Question 20

Choose the one alternative that best completes the statement or answers the question.
-The JUST-SAY-MOW lawn mowing company consists of two people: Marsha and Bob. If Marsha cuts the lawn by herself, she can do it in 3 hours. If Bob cuts the same lawn himself, it takes him an
Hour longer than Marsha. How long would it take them if they worked together? Round to the
Nearest hundredth of an hour.

Accepted Answer

A)   4.00 hours
B)   1.71 hours
C)   3.50 hours
D)   1.00 hour

Exam 1: Equations and Inequalities

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Given an equation of the form $u ^ { m / n } = k$ , raise both sides to the power to isolate u (that is, to obtain $u ^ { 1 }$ on the left side).

Correct Answer
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Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -For a quadratic equation $a x ^ { 2 } + b x + c = 0$ = 0, the discriminant is given by the expression ___________.

Correct Answer
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Solve the equation. - $\sqrt { - 3 + p } = 7 - \sqrt { 32 - p }$

Correct Answer
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Write an absolute value inequality equivalent to the expression. -"All real numbers whose distance from 13 is at most 5"

Correct Answer
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Correct Answer
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Solve the inequality. Write the solution set in interval notation. - $- 2 < - 2 y + 11 < 6$

Correct Answer
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Solve the equation. - $- \frac { 1 } { 4 } x - \frac { 1 } { 6 } = - \frac { 1 } { 6 } ( x + 1 ) - \frac { 1 } { 12 } x$

Correct Answer
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Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The value of n that would make the trinomial $x ^ { 2 } + 20 x + n$ a perfect square trinomial is .

Correct Answer
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Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The length of a rectangle is 4 yd more than twice the width x. The area is $390 \mathrm { yd } ^ { 2 }$ . Find the dimensions of the given shape.

Correct Answer
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The ________property of equality indicates that if $a = b , \text { then } \frac { a } { c } = \frac { b } { c }$ provided tha $c \neq 0$

Correct Answer
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Solve the rational equation. - $\frac { - 21 } { x ^ { 2 } - x - 12 } - \frac { 5 } { x - 4 } = \frac { 3 } { x + 3 }$

Correct Answer
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Correct Answer
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Solve the equation. - $30 m ^ { 2 } = 216 - m ^ { 4 }$

Correct Answer
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Choose the one alternative that best completes the statement or answers the question. Solve the equation. - $2 n ^ { 2 } \left( n ^ { 2 } + 6 \right) = 54 + 9 n ^ { 2 }$

Correct Answer
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Solve the absolute value equation. - $| 6 z - 3 | = 7$

Correct Answer
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Solve the quadratic equation by completing the square and applying the square root property. - $u ^ { 2 } + 20 u + 101 = 0$

Correct Answer
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Solve the inequality. Write the solution set in interval notation. - $- 2 ( 4 y - 7 ) + y \geq 2 y - ( - 8 + y )$

Correct Answer
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Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The compound inequality a < x and x < b can be written as the three-part inequality .

Correct Answer
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Solve the absolute value equation. - $| b + 4 | - 2 = 4$

Correct Answer
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Choose the one alternative that best completes the statement or answers the question. Solve the equation. - $x ^ { 3 } - 8 = x - 2$

Correct Answer
verified

Exam 1: Equations and Inequalities

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Given an equation of the form um/n=ku ^ { m / n } = kum/n=k , raise both sides to the power to isolate u (that is, to obtain u1u ^ { 1 }u1 on the left side).

Correct AnswerverifiedShow Answer

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -For a quadratic equation ax2+bx+c=0a x ^ { 2 } + b x + c = 0ax2+bx+c=0 = 0, the discriminant is given by the expression ___________.

Correct AnswerverifiedShow Answer

Solve the equation. - −3+p=7−32−p\sqrt { - 3 + p } = 7 - \sqrt { 32 - p }−3+p​=7−32−p​

Correct AnswerverifiedShow Answer

Write an absolute value inequality equivalent to the expression. -"All real numbers whose distance from 13 is at most 5"

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Solve the inequality. Write the solution set in interval notation. - −2<−2y+11<6- 2 < - 2 y + 11 < 6−2<−2y+11<6

Correct AnswerverifiedShow Answer

Solve the equation. - −14x−16=−16(x+1) −112x- \frac { 1 } { 4 } x - \frac { 1 } { 6 } = - \frac { 1 } { 6 } ( x + 1 ) - \frac { 1 } { 12 } x−41​x−61​=−61​(x+1) −121​x

Correct AnswerverifiedShow Answer

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The value of n that would make the trinomial x2+20x+nx ^ { 2 } + 20 x + nx2+20x+n a perfect square trinomial is .

Correct AnswerverifiedShow Answer

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The length of a rectangle is 4 yd more than twice the width x. The area is 390yd2390 \mathrm { yd } ^ { 2 }390yd2 . Find the dimensions of the given shape.

Correct AnswerverifiedShow Answer

The ________property of equality indicates that if a=b, then ac=bca = b , \text { then } \frac { a } { c } = \frac { b } { c }a=b, then ca​=cb​ provided tha c≠0c \neq 0c=0

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Solve the rational equation. - −21x2−x−12−5x−4=3x+3\frac { - 21 } { x ^ { 2 } - x - 12 } - \frac { 5 } { x - 4 } = \frac { 3 } { x + 3 }x2−x−12−21​−x−45​=x+33​

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Solve the equation. - 30m2=216−m430 m ^ { 2 } = 216 - m ^ { 4 }30m2=216−m4

Correct AnswerverifiedShow Answer

Choose the one alternative that best completes the statement or answers the question. Solve the equation. - 2n2(n2+6) =54+9n22 n ^ { 2 } \left( n ^ { 2 } + 6 \right) = 54 + 9 n ^ { 2 }2n2(n2+6) =54+9n2

Correct AnswerverifiedShow Answer

Solve the absolute value equation. - ∣6z−3∣=7| 6 z - 3 | = 7∣6z−3∣=7

Correct AnswerverifiedShow Answer

Solve the quadratic equation by completing the square and applying the square root property. - u2+20u+101=0u ^ { 2 } + 20 u + 101 = 0u2+20u+101=0

Correct AnswerverifiedShow Answer

Solve the inequality. Write the solution set in interval notation. - −2(4y−7) +y≥2y−(−8+y) - 2 ( 4 y - 7 ) + y \geq 2 y - ( - 8 + y ) −2(4y−7) +y≥2y−(−8+y)

Correct AnswerverifiedShow Answer

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The compound inequality a < x and x < b can be written as the three-part inequality .

Correct AnswerverifiedShow Answer

Solve the absolute value equation. - ∣b+4∣−2=4| b + 4 | - 2 = 4∣b+4∣−2=4

Correct AnswerverifiedShow Answer

Choose the one alternative that best completes the statement or answers the question. Solve the equation. - x3−8=x−2x ^ { 3 } - 8 = x - 2x3−8=x−2

Correct AnswerverifiedShow Answer

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Given an equation of the form $u ^ { m / n } = k$ , raise both sides to the power to isolate u (that is, to obtain $u ^ { 1 }$ on the left side).

Correct Answer
verified

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -For a quadratic equation $a x ^ { 2 } + b x + c = 0$ = 0, the discriminant is given by the expression ___________.

Correct Answer
verified

Solve the equation. - $\sqrt { - 3 + p } = 7 - \sqrt { 32 - p }$

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Solve the inequality. Write the solution set in interval notation. - $- 2 < - 2 y + 11 < 6$

Correct Answer
verified

Solve the equation. - $- \frac { 1 } { 4 } x - \frac { 1 } { 6 } = - \frac { 1 } { 6 } ( x + 1 ) - \frac { 1 } { 12 } x$

Correct Answer
verified

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The value of n that would make the trinomial $x ^ { 2 } + 20 x + n$ a perfect square trinomial is .

Correct Answer
verified

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The length of a rectangle is 4 yd more than twice the width x. The area is $390 \mathrm { yd } ^ { 2 }$ . Find the dimensions of the given shape.

Correct Answer
verified

The ________property of equality indicates that if $a = b , \text { then } \frac { a } { c } = \frac { b } { c }$ provided tha $c \neq 0$

Correct Answer
verified

Solve the rational equation. - $\frac { - 21 } { x ^ { 2 } - x - 12 } - \frac { 5 } { x - 4 } = \frac { 3 } { x + 3 }$

Correct Answer
verified

Correct Answer
verified

Solve the equation. - $30 m ^ { 2 } = 216 - m ^ { 4 }$

Correct Answer
verified

Choose the one alternative that best completes the statement or answers the question. Solve the equation. - $2 n ^ { 2 } \left( n ^ { 2 } + 6 \right) = 54 + 9 n ^ { 2 }$

Correct Answer
verified

Solve the absolute value equation. - $| 6 z - 3 | = 7$

Correct Answer
verified

Solve the quadratic equation by completing the square and applying the square root property. - $u ^ { 2 } + 20 u + 101 = 0$

Correct Answer
verified

Solve the inequality. Write the solution set in interval notation. - $- 2 ( 4 y - 7 ) + y \geq 2 y - ( - 8 + y )$

Correct Answer
verified

Correct Answer
verified

Solve the absolute value equation. - $| b + 4 | - 2 = 4$

Correct Answer
verified

Choose the one alternative that best completes the statement or answers the question. Solve the equation. - $x ^ { 3 } - 8 = x - 2$

Correct Answer
verified