Question 1

Find a point-slope form equation for the line through the point with the given slope.
-$$( 4,8 ) , m = 2$$

Accepted Answer

A)  $y + 8 = 2 ( x + 4 )$ 
B)  $y + 8 = 2 ( x - 4 )$ 
C)  $x - 4 = 2 ( y - 8 )$ 
D)  $y - 8 = 2 ( x - 4 )$ 
A)  $y + 8 = 2 ( x + 4 )$ 
B)  $y + 8 = 2 ( x - 4 )$ 
C)  $x - 4 = 2 ( y - 8 )$ 
D)  $y - 8 = 2 ( x - 4 )$

Question 2

Solve the equation using the quadratic formula.
-$$7 x ^ { 2 } + 10 x + 2 = 0$$

Accepted Answer

A)  $x = \frac { - 5 + \sqrt { 11 } } { 14 }$ or $x = \frac { - 5 - \sqrt { 11 } } { 14 }$ 
B)  $x = \frac { - 10 + \sqrt { 11 } } { 7 }$ or $x = \frac { - 10 - \sqrt { 11 } } { 7 }$ 
C)  $x = \frac { - 5 + \sqrt { 39 } } { 7 }$ or $x = \frac { - 5 - \sqrt { 39 } } { 7 }$ 
D)  $x = \frac { - 5 + \sqrt { 11 } } { 7 }$ or $x = \frac { - 5 - \sqrt { 11 } } { 7 }$ 
A)  $x = \frac { - 5 + \sqrt { 11 } } { 14 }$ or $x = \frac { - 5 - \sqrt { 11 } } { 14 }$ 
B)  $x = \frac { - 10 + \sqrt { 11 } } { 7 }$ or $x = \frac { - 10 - \sqrt { 11 } } { 7 }$ 
C)  $x = \frac { - 5 + \sqrt { 39 } } { 7 }$ or $x = \frac { - 5 - \sqrt { 39 } } { 7 }$ 
D)  $x = \frac { - 5 + \sqrt { 11 } } { 7 }$ or $x = \frac { - 5 - \sqrt { 11 } } { 7 }$

Question 3

Solve the inequality.
-$$10 \geq \frac { 5 x + 2 } { 3 } \geq - 5$$

Accepted Answer

A)  $x \geq - \frac { 17 } { 5 }$ 
B)  $x \leq \frac { 28 } { 5 }$ 
C)  $- \frac { 17 } { 5 } < x < \frac { 28 } { 5 }$ 
D)  $- \frac { 17 } { 5 } \leq x \leq \frac { 28 } { 5 }$ 
A)  $x \geq - \frac { 17 } { 5 }$ 
B)  $x \leq \frac { 28 } { 5 }$ 
C)  $- \frac { 17 } { 5 } < x < \frac { 28 } { 5 }$ 
D)  $- \frac { 17 } { 5 } \leq x \leq \frac { 28 } { 5 }$

Question 4

Use an inequality to describe the interval of real numbers.
-

Accepted Answer

A) $x > - 4$ B) $x < - 4$ C) $x \geq - 4$ D) $x \leq - 4$ A) $x > - 4$ B) $x < - 4$ C) $x \geq - 4$ D) $x \leq - 4$

Question 5

Solve the equation.
-$$x ^ { 2 } + x + 5 = 0$$

Accepted Answer

A)  $\frac { 1 } { 2 } \pm \frac { \sqrt { 19 } } { 2 }$ 
B)  $= \frac { 1 } { 2 } \pm \frac { \sqrt { 19 } } { 2 }$ 
C)  $\frac { 1 } { 2 } \pm \frac { \sqrt { 19 } } { 2 } \mathrm { i }$ 
D)  $- \frac { 1 } { 2 } \pm \frac { \sqrt { 19 } } { 2 } \mathrm { i }$ 
A)  $\frac { 1 } { 2 } \pm \frac { \sqrt { 19 } } { 2 }$ 
B)  $= \frac { 1 } { 2 } \pm \frac { \sqrt { 19 } } { 2 }$ 
C)  $\frac { 1 } { 2 } \pm \frac { \sqrt { 19 } } { 2 } \mathrm { i }$ 
D)  $- \frac { 1 } { 2 } \pm \frac { \sqrt { 19 } } { 2 } \mathrm { i }$

Question 6

Find the midpoint of the line segment with the given endpoints.
-$\left( - \frac { 7 } { 2 } , - \frac { 5 } { 2 } \right)$ and $\left( - \frac { 5 } { 2 } , \frac { 3 } { 2 } \right)$

Accepted Answer

A)  $\left( - 3 , - \frac { 1 } { 2 } \right)$ 
B)  $( 4,64 )$ 
C)  $\left( - \frac { 1 } { 2 } , - 2 \right)$ 
D)  $( 144,4 )$ 
A)  $\left( - 3 , - \frac { 1 } { 2 } \right)$ 
B)  $( 4,64 )$ 
C)  $\left( - \frac { 1 } { 2 } , - 2 \right)$ 
D)  $( 144,4 )$

Question 7

Solve the equation by factoring.
-$$x ^ { 2 } - x = 12$$

Accepted Answer

A)  $x = - 3$ or $x = - 4$ 
B)  $x = 3$ or $x = 4$ 
C)  $x = - 3$ or $x = 4$ 
D)  $x = 1$ or $x = 12$ 
A)  $x = - 3$ or $x = - 4$ 
B)  $x = 3$ or $x = 4$ 
C)  $x = - 3$ or $x = 4$ 
D)  $x = 1$ or $x = 12$

Question 8

Solve the inequality. Use algebra to solve the corresponding equation.
-$$x ^ { 2 } + 7 \leq - 2 x$$

Accepted Answer

A)  $( 7 , \infty )$ 
B)  $( - \infty , \infty )$ 
C)  $( - \infty , - 2 )$ 
D)  No solution 
A)  $( 7 , \infty )$ 
B)  $( - \infty , \infty )$ 
C)  $( - \infty , - 2 )$ 
D)  No solution

Question 9

Evaluate the expression.
-$$7 + | - 7 |$$

Accepted Answer

A)  0 
B)  7 
C)  14 
D)  $- 14$ 
A)  0 
B)  7 
C)  14 
D)  $- 14$

Question 10

Write the number in decimal form.
-$8.096 \times 10 ^ { 7 }$

Accepted Answer

A)  $566.72$ 
B)  $809,600,000$ 
C)  $8,096,000$ 
D)  $80,960,000$ 
A)  $566.72$ 
B)  $809,600,000$ 
C)  $8,096,000$ 
D)  $80,960,000$

Question 11

Find the distance between the points.
-$( 7,6 ) ( - 5 , - 5 )$

Accepted Answer

A)  1 
B)  $\sqrt { 265 }$ 
C)  $\sqrt { 23 }$ 
D)  132 
A)  1 
B)  $\sqrt { 265 }$ 
C)  $\sqrt { 23 }$ 
D)  132

Question 12

Use interval notation to describe the set of numbers.
-Every item in Albert's Variety store costs less than $\$ 3.51$.

Accepted Answer

A)  $[ 0,3.51 ]$ 
B)  $[ 1,3.51 )$ 
C)  $[ 0,3.51 )$ 
D)  $[ 1,3.51 ]$ 
A)  $[ 0,3.51 ]$ 
B)  $[ 1,3.51 )$ 
C)  $[ 0,3.51 )$ 
D)  $[ 1,3.51 ]$

Question 13

Solve the equation using the quadratic formula.
-$$6 x + 7 = x ^ { 2 }$$

Accepted Answer

A)  $x = 1$ or $x = - \frac { 1 } { 7 }$ 
B)  $x = - 1$ or $x = \frac { 1 } { 7 }$ 
C)  $x = - 1$ or $x = 7$ 
D)  $x = 1$ or $x = 7$ 
A)  $x = 1$ or $x = - \frac { 1 } { 7 }$ 
B)  $x = - 1$ or $x = \frac { 1 } { 7 }$ 
C)  $x = - 1$ or $x = 7$ 
D)  $x = 1$ or $x = 7$

Question 14

Describe and graph the interval of real numbers.
-$$x \text { is positive }$$

Accepted Answer

The answer of Describe and graph the interval of real...

Question 15

Write the number in decimal form.
-$1.375 \times 10 ^ { - 5 }$

Accepted Answer

A)  $0.00001375$ 
B)  $0.000001375$ 
C)  $- 137,500$ 
D)  $0.0001375$ 
A)  $0.00001375$ 
B)  $0.000001375$ 
C)  $- 137,500$ 
D)  $0.0001375$

Question 16

Solve the equation.
-$$\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 5$$

Accepted Answer

A)  $x = 150$ 
B)  $x = - 150$ 
C)  $x = 75$ 
D)  $x = - 75$ 
A)  $x = 150$ 
B)  $x = - 150$ 
C)  $x = 75$ 
D)  $x = - 75$

Question 17

Use an inequality to describe the interval of real numbers.
-

Accepted Answer

A)  $- 4 < x < 6$ 
B)  $- 4 \leq x \leq 6$ 
C)  $- 4 < x \leq 6$ 
D)  $- 4 \leq x < 6$ 
A)  $- 4 < x < 6$ 
B)  $- 4 \leq x \leq 6$ 
C)  $- 4 < x \leq 6$ 
D)  $- 4 \leq x < 6$

Question 18

Give the quadrant in which the point is located.
-$$( - 4 , - 3 )$$

Accepted Answer

A)  Quadrant I 
B)  Quadrant II 
C)  Quadrant III 
D)  Quadrant IV 
A)  Quadrant I 
B)  Quadrant II 
C)  Quadrant III 
D)  Quadrant IV

Question 19

Write the expression in standard form.
-$$\frac { ( 1 - \sqrt { 3 } i ) ( 1 + i ) } { 1 + \sqrt { 3 } i }$$

Accepted Answer

A)  $\frac { - 2 + 2 \sqrt { 3 } } { 4 } + \frac { 3 - 2 \sqrt { 3 } } { 4 } \mathrm { i }$ 
B)  $\frac { 3 + 2 \sqrt { 3 } } { 4 } + \frac { - 2 - 2 \sqrt { 3 } } { 4 } \mathrm { i }$ 
C)  $\frac { 2 - \sqrt { 3 } } { 2 } + \frac { 2 + \sqrt { 3 } } { 2 } \mathrm { i }$ 
D)  $\frac { - 2 + 2 \sqrt { 3 } } { 4 } + \frac { - 2 - 2 \sqrt { 3 } } { 4 } \mathrm { i }$ 
A)  $\frac { - 2 + 2 \sqrt { 3 } } { 4 } + \frac { 3 - 2 \sqrt { 3 } } { 4 } \mathrm { i }$ 
B)  $\frac { 3 + 2 \sqrt { 3 } } { 4 } + \frac { - 2 - 2 \sqrt { 3 } } { 4 } \mathrm { i }$ 
C)  $\frac { 2 - \sqrt { 3 } } { 2 } + \frac { 2 + \sqrt { 3 } } { 2 } \mathrm { i }$ 
D)  $\frac { - 2 + 2 \sqrt { 3 } } { 4 } + \frac { - 2 - 2 \sqrt { 3 } } { 4 } \mathrm { i }$

Question 20

Use interval notation to describe the interval of real numbers.
-$x$ is greater than or equal to $- 5$ and less than or equal to $- 1$.

Accepted Answer

A)  $[ - 5 , - 1 )$ 
B)  $( - 5 , - 1 ]$ 
C)  $[ - 5 , - 1 ]$ 
D)  $( - 5 , - 1 )$ 
A)  $[ - 5 , - 1 )$ 
B)  $( - 5 , - 1 ]$ 
C)  $[ - 5 , - 1 ]$ 
D)  $( - 5 , - 1 )$

Find a point-slope form equation for the line through the point with the given slope. - $( 4,8 ) , m = 2$

Solve the equation using the quadratic formula. - $7 x ^ { 2 } + 10 x + 2 = 0$

Solve the inequality. - $10 \geq \frac { 5 x + 2 } { 3 } \geq - 5$

Use an inequality to describe the interval of real numbers. -

Solve the equation. - $x ^ { 2 } + x + 5 = 0$

Find the midpoint of the line segment with the given endpoints. - $\left( - \frac { 7 } { 2 } , - \frac { 5 } { 2 } \right)$ and $\left( - \frac { 5 } { 2 } , \frac { 3 } { 2 } \right)$

Solve the equation by factoring. - $x ^ { 2 } - x = 12$

Solve the inequality. Use algebra to solve the corresponding equation. - $x ^ { 2 } + 7 \leq - 2 x$

Evaluate the expression. - $7 + | - 7 |$

Write the number in decimal form. - $8.096 \times 10 ^ { 7 }$

Find the distance between the points. - $( 7,6 ) ( - 5 , - 5 )$

Use interval notation to describe the set of numbers. -Every item in Albert's Variety store costs less than $\$ 3.51$ .

Solve the equation using the quadratic formula. - $6 x + 7 = x ^ { 2 }$

Describe and graph the interval of real numbers. - $x \text { is positive }$ $Describe and graph the interval of real numbers. - x \text { is positive }$

Write the number in decimal form. - $1.375 \times 10 ^ { - 5 }$

Solve the equation. - $\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 5$

Use an inequality to describe the interval of real numbers. -

Give the quadrant in which the point is located. - $( - 4 , - 3 )$

Write the expression in standard form. - $\frac { ( 1 - \sqrt { 3 } i ) ( 1 + i ) } { 1 + \sqrt { 3 } i }$

Use interval notation to describe the interval of real numbers. - $x$ is greater than or equal to $- 5$ and less than or equal to $- 1$ .

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

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Exam 12: Prerequisites

Find a point-slope form equation for the line through the point with the given slope. - (4,8),m=2( 4,8 ) , m = 2(4,8),m=2

Solve the equation using the quadratic formula. - 7x2+10x+2=07 x ^ { 2 } + 10 x + 2 = 07x2+10x+2=0

Solve the inequality. - 10≥5x+23≥−510 \geq \frac { 5 x + 2 } { 3 } \geq - 510≥35x+2​≥−5

Use an inequality to describe the interval of real numbers. -

Solve the equation. - x2+x+5=0x ^ { 2 } + x + 5 = 0x2+x+5=0

Find the midpoint of the line segment with the given endpoints. - (−72,−52)\left( - \frac { 7 } { 2 } , - \frac { 5 } { 2 } \right)(−27​,−25​) and (−52,32)\left( - \frac { 5 } { 2 } , \frac { 3 } { 2 } \right)(−25​,23​)

Solve the equation by factoring. - x2−x=12x ^ { 2 } - x = 12x2−x=12

Solve the inequality. Use algebra to solve the corresponding equation. - x2+7≤−2xx ^ { 2 } + 7 \leq - 2 xx2+7≤−2x

Evaluate the expression. - 7+∣−7∣7 + | - 7 |7+∣−7∣

Write the number in decimal form. - 8.096×1078.096 \times 10 ^ { 7 }8.096×107

Find the distance between the points. - (7,6)(−5,−5)( 7,6 ) ( - 5 , - 5 )(7,6)(−5,−5)

Use interval notation to describe the set of numbers. -Every item in Albert's Variety store costs less than $3.51\$ 3.51$3.51 .

Solve the equation using the quadratic formula. - 6x+7=x26 x + 7 = x ^ { 2 }6x+7=x2

Describe and graph the interval of real numbers. - x is positive x \text { is positive }x is positive

Write the number in decimal form. - 1.375×10−51.375 \times 10 ^ { - 5 }1.375×10−5

Solve the equation. - 25x−13x=5\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 552​x−31​x=5

Use an inequality to describe the interval of real numbers. -

Give the quadrant in which the point is located. - (−4,−3)( - 4 , - 3 )(−4,−3)

Write the expression in standard form. - (1−3i)(1+i)1+3i\frac { ( 1 - \sqrt { 3 } i ) ( 1 + i ) } { 1 + \sqrt { 3 } i }1+3​i(1−3​i)(1+i)​

Use interval notation to describe the interval of real numbers. - xxx is greater than or equal to −5- 5−5 and less than or equal to −1- 1−1 .

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Filters

Find a point-slope form equation for the line through the point with the given slope. - $( 4,8 ) , m = 2$

Solve the equation using the quadratic formula. - $7 x ^ { 2 } + 10 x + 2 = 0$

Solve the inequality. - $10 \geq \frac { 5 x + 2 } { 3 } \geq - 5$

Solve the equation. - $x ^ { 2 } + x + 5 = 0$

Find the midpoint of the line segment with the given endpoints. - $\left( - \frac { 7 } { 2 } , - \frac { 5 } { 2 } \right)$ and $\left( - \frac { 5 } { 2 } , \frac { 3 } { 2 } \right)$

Solve the equation by factoring. - $x ^ { 2 } - x = 12$

Solve the inequality. Use algebra to solve the corresponding equation. - $x ^ { 2 } + 7 \leq - 2 x$

Evaluate the expression. - $7 + | - 7 |$

Write the number in decimal form. - $8.096 \times 10 ^ { 7 }$

Find the distance between the points. - $( 7,6 ) ( - 5 , - 5 )$

Use interval notation to describe the set of numbers. -Every item in Albert's Variety store costs less than $\$ 3.51$ .

Solve the equation using the quadratic formula. - $6 x + 7 = x ^ { 2 }$

Describe and graph the interval of real numbers. - $x \text { is positive }$ $Describe and graph the interval of real numbers. - x \text { is positive }$

Write the number in decimal form. - $1.375 \times 10 ^ { - 5 }$

Solve the equation. - $\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 5$

Give the quadrant in which the point is located. - $( - 4 , - 3 )$

Write the expression in standard form. - $\frac { ( 1 - \sqrt { 3 } i ) ( 1 + i ) } { 1 + \sqrt { 3 } i }$

Use interval notation to describe the interval of real numbers. - $x$ is greater than or equal to $- 5$ and less than or equal to $- 1$ .