Question 1

Transform the absolute value inequality $| 2 - 2 h | \geq 7$ into two separate inequalities.

Accepted Answer

A)  $2 - 2 h \leq 7$ or $2 - 2 h \geq - 7$ 
B)  $2 - 2 h \geq 7$ or $2 - 2 h \geq 7$ 
C)  $2 - 2 h \geq 7$ or $2 - 2 h \geq - 7$ 
D)  $2 - 2 h \geq - 7$ or $2 - 2 h \leq - 7$ 
E)  $2 - 2 h \geq 7$ or $2 - 2 h \leq - 7$ 
A)  $2 - 2 h \leq 7$ or $2 - 2 h \geq - 7$ 
B)  $2 - 2 h \geq 7$ or $2 - 2 h \geq 7$ 
C)  $2 - 2 h \geq 7$ or $2 - 2 h \geq - 7$ 
D)  $2 - 2 h \geq - 7$ or $2 - 2 h \leq - 7$ 
E)  $2 - 2 h \geq 7$ or $2 - 2 h \leq - 7$

Question 2

Solve $| 3 x + 8 | - 14 = - 8$ , if possible.

Accepted Answer

A)  $x = - \frac { 2 } { 3 }$ , $x = - \frac { 14 } { 3 }$ 
B)  $x = - \frac { 2 } { 3 }$ , $x = \frac { 14 } { 3 }$ 
C)  $x = - 2$ , $x = - 14$ 
D)  $x = \frac { 2 } { 3 }$ , $x = - \frac { 14 } { 3 }$ 
E) no solution 
A)  $x = - \frac { 2 } { 3 }$ , $x = - \frac { 14 } { 3 }$ 
B)  $x = - \frac { 2 } { 3 }$ , $x = \frac { 14 } { 3 }$ 
C)  $x = - 2$ , $x = - 14$ 
D)  $x = \frac { 2 } { 3 }$ , $x = - \frac { 14 } { 3 }$ 
E) no solution

Question 3

Determine if $x = 2$ is a solution to $| x | < 3$ .

Accepted Answer

A)  $x = 2$ is a solution. 
B)  $x = 2$ is not a solution. 
A)  $x = 2$ is a solution. 
B)  $x = 2$ is not a solution.

Question 4

Solve the linear equation $- \frac { 1 } { 3 } = \frac { 1 } { 10 }$ for t .

Accepted Answer

A)  $t = \frac { 7 } { 30 }$ 
B)  $t = \frac { 2 } { 13 }$ 
C)  $t = - \frac { 3 } { 10 }$ 
D)  $t = \frac { 13 } { 30 }$ 
E)  $t = - \frac { 2 } { 13 }$ 
A)  $t = \frac { 7 } { 30 }$ 
B)  $t = \frac { 2 } { 13 }$ 
C)  $t = - \frac { 3 } { 10 }$ 
D)  $t = \frac { 13 } { 30 }$ 
E)  $t = - \frac { 2 } { 13 }$

Question 5

Write an absolute value inequality that represents the verbal statement, The set of all real numbers x for which the distance from 0 to $8$ less than three times x is more than $2$ .

Accepted Answer

A) $| 3 x - 8 | > 2$ B) $| 3 x - 2 | < 8$ C) $| 3 x + 2 | \leq 8$ D) $| 3 x + 8 | < 2$ E) $| 3 x - 8 | \leq 2$ A) $| 3 x - 8 | > 2$ B) $| 3 x - 2 | < 8$ C) $| 3 x + 2 | \leq 8$ D) $| 3 x + 8 | < 2$ E) $| 3 x - 8 | \leq 2$

Question 6

Write the solution set as a compound inequality.

Accepted Answer

A)  $- 5 \leq x \leq 3$ 
B)  $- 4 < x < 3$ 
C)  $- 4 \leq x < 3$ 
D)  $- 4 \leq x \leq 2$ 
E)  $- 4 \leq x < 0$ 
A)  $- 5 \leq x \leq 3$ 
B)  $- 4 < x < 3$ 
C)  $- 4 \leq x < 3$ 
D)  $- 4 \leq x \leq 2$ 
E)  $- 4 \leq x < 0$

Question 7

Solve $| 2 x - 1 | \leq 5$ , if possible. Write the answer in set notation.

Accepted Answer

A)  $\{ x \mid - 2 < x < 3 \}$ 
B)  $\{ x \mid - 3 \leq x \leq 2 \}$ 
C)  $\{ x \mid - 2 \leq x \leq 3 \}$ 
D)  $\left\{ x \mid - \frac { 5 } { 2 } \leq x \leq \frac { 5 } { 2 } \right\}$ 
E) no solution 
A)  $\{ x \mid - 2 < x < 3 \}$ 
B)  $\{ x \mid - 3 \leq x \leq 2 \}$ 
C)  $\{ x \mid - 2 \leq x \leq 3 \}$ 
D)  $\left\{ x \mid - \frac { 5 } { 2 } \leq x \leq \frac { 5 } { 2 } \right\}$ 
E) no solution

Question 8

Solve the equation $| x + 7 | = | 2 x + 5 |$ .

Accepted Answer

A)  $12 , - 4$ 
B)  $- 2,4$ 
C)  $12,4$ 
D)  $2,4$ 
E)  $2 , - 4$ 
A)  $12 , - 4$ 
B)  $- 2,4$ 
C)  $12,4$ 
D)  $2,4$ 
E)  $2 , - 4$

Question 9

What number is 150% of 38?

Accepted Answer

A) 1.5 
B) 0.38 
C) 67 
D) 5.7 
E) 57 
A) 1.5 
B) 0.38 
C) 67 
D) 5.7 
E) 57

Question 10

Write a verbal description of $t < 7$ .

Accepted Answer

A) t is less than 7 . 
B) t is greater than 7 . 
C) t is less than or equal to 7 . 
D) t is greater than or equal to 7 . 
E) t is equal to 7 . 
A) t is less than 7 . 
B) t is greater than 7 . 
C) t is less than or equal to 7 . 
D) t is greater than or equal to 7 . 
E) t is equal to 7 .

Question 11

Solve $\left| \frac { 4 z + 5 } { 6 } \right| - 2 = 6$ , if possible.

Accepted Answer

A)  $z = 43$ , $z = - 53$ 
B)  $z = - \frac { 43 } { 4 }$ , $z = - \frac { 53 } { 4 }$ 
C)  $z = \frac { 43 } { 4 }$ , $z = - \frac { 53 } { 4 }$ 
D)  $z = \frac { 43 } { 4 }$ , $z = \frac { 53 } { 4 }$ 
E) no solution 
A)  $z = 43$ , $z = - 53$ 
B)  $z = - \frac { 43 } { 4 }$ , $z = - \frac { 53 } { 4 }$ 
C)  $z = \frac { 43 } { 4 }$ , $z = - \frac { 53 } { 4 }$ 
D)  $z = \frac { 43 } { 4 }$ , $z = \frac { 53 } { 4 }$ 
E) no solution

Question 12

Solve the linear equation $- 7 ( y + 4 ) = - y + 2$ for y .

Accepted Answer

A)  y=11 
B)  y=-10 
C)  y=0 
D)  y=5 
E)  y=-5 
A)  y=11 
B)  y=-10 
C)  y=0 
D)  y=5 
E)  y=-5

Question 13

Solve the linear equation $7 x - 5 = 37$ for x .

Accepted Answer

A)  x=-192 
B)   x=100 
C)   x=6 
D)   x=-53 
E)   x=-66 
A)  x=-192 
B)   x=100 
C)   x=6 
D)   x=-53 
E)   x=-66

Question 14

Solve the equation $x + 9 = 26$ .

Accepted Answer

A)  x=234 
B)  x=17 
C)   x=-17 
D)   x=-234 
E)  x=0 
A)  x=234 
B)  x=17 
C)   x=-17 
D)   x=-234 
E)  x=0

Question 15

Write an absolute value inequality that represents the interval shown in the following figure.

Accepted Answer

A)  $| x | \leq 4$ 
B)  $| x | \geq 4$ 
C)  $| x - 5 | \leq 1$ 
D)  $| x | < 4$ 
E)  $| x - 5 | < 1$ 
A)  $| x | \leq 4$ 
B)  $| x | \geq 4$ 
C)  $| x - 5 | \leq 1$ 
D)  $| x | < 4$ 
E)  $| x - 5 | < 1$

Question 16

Approximately 12% of the students enrolled at Penn State University in the fall of 2006 were freshmen. The total enrollment for the school in the fall of 2006 was 83,030. How many freshmen were enrolled? Round your answer to the nearest integer.

Accepted Answer

A) 73,066 
B) 9,964 
C) 11,624 
D) 996 
E) 13,285 
A) 73,066 
B) 9,964 
C) 11,624 
D) 996 
E) 13,285

Question 17

A free-falling object is described by $h = 35 t + \frac { 1 } { 2 } a t ^ { 2 }$ , where h is the height above the ground, t is the amount of time the object is falling, and a is the acceleration. Solve the equation for a .

Accepted Answer

A)  $a = \frac { 2 ( h - 35 t ) } { t }$ 
B)  $a = \frac { 2 ( h + 35 t ) } { t ^ { 2 } }$ 
C)  $a = \frac { 2 ( h - 35 t ) } { t ^ { 2 } }$ 
D)  $a = \frac { h - 35 t } { t ^ { 2 } }$ 
E)  $a = \frac { h - 35 t } { 2 t ^ { 2 } }$ 
A)  $a = \frac { 2 ( h - 35 t ) } { t }$ 
B)  $a = \frac { 2 ( h + 35 t ) } { t ^ { 2 } }$ 
C)  $a = \frac { 2 ( h - 35 t ) } { t ^ { 2 } }$ 
D)  $a = \frac { h - 35 t } { t ^ { 2 } }$ 
E)  $a = \frac { h - 35 t } { 2 t ^ { 2 } }$

Question 18

Find the unit price (in dollars per ounce)if a 15-ounce can of pineapple costs $3.45.

Accepted Answer

A) $0.30 per ounce 
B) $0.28 per ounce 
C) $0.25 per ounce 
D) $0.23 per ounce 
E) $0.26 per ounce 
A) $0.30 per ounce 
B) $0.28 per ounce 
C) $0.25 per ounce 
D) $0.23 per ounce 
E) $0.26 per ounce

Question 19

If it takes you 12 hours to complete a job, what portion do you complete each hour?

Accepted Answer

A)  12% 
B)  0.12 
C)  $\frac { 1 } { 12 }$ 
D)  11 
E)  0.88 
A)  12% 
B)  0.12 
C)  $\frac { 1 } { 12 }$ 
D)  11 
E)  0.88

Question 20

Solve the proportion $\frac { x } { 5 } = \frac { 7 } { 20 }$ to determine x .

Accepted Answer

A)  x= $\frac { 7 } { 100 }$ 
B)  $x = 2$ 7 
C)  x= -$\frac { 7 } { 100 }$ 
D)  x=21 
E)  x=$\frac { 7 } { 4 }$ 
A)  x= $\frac { 7 } { 100 }$ 
B)  $x = 2$ 7 
C)  x= -$\frac { 7 } { 100 }$ 
D)  x=21 
E)  x=$\frac { 7 } { 4 }$

Transform the absolute value inequality $| 2 - 2 h | \geq 7$ into two separate inequalities.

Solve $| 3 x + 8 | - 14 = - 8$ , if possible.

Determine if $x = 2$ is a solution to $| x | < 3$ .

Solve the linear equation $- \frac { 1 } { 3 } = \frac { 1 } { 10 }$ for t .

Write an absolute value inequality that represents the verbal statement, The set of all real numbers x for which the distance from 0 to $8$ less than three times x is more than $2$ .

Write the solution set as a compound inequality.

Solve $| 2 x - 1 | \leq 5$ , if possible. Write the answer in set notation.

Solve the equation $| x + 7 | = | 2 x + 5 |$ .

What number is 150% of 38?

Write a verbal description of $t < 7$ .

Solve $\left| \frac { 4 z + 5 } { 6 } \right| - 2 = 6$ , if possible.

Solve the linear equation $- 7 ( y + 4 ) = - y + 2$ for y .

Solve the linear equation $7 x - 5 = 37$ for x .

Solve the equation $x + 9 = 26$ .

Write an absolute value inequality that represents the interval shown in the following figure.

Approximately 12% of the students enrolled at Penn State University in the fall of 2006 were freshmen. The total enrollment for the school in the fall of 2006 was 83,030. How many freshmen were enrolled? Round your answer to the nearest integer.

A free-falling object is described by $h = 35 t + \frac { 1 } { 2 } a t ^ { 2 }$ , where h is the height above the ground, t is the amount of time the object is falling, and a is the acceleration. Solve the equation for a .

Find the unit price (in dollars per ounce)if a 15-ounce can of pineapple costs $3.45.

If it takes you 12 hours to complete a job, what portion do you complete each hour?

Solve the proportion $\frac { x } { 5 } = \frac { 7 } { 20 }$ to determine x .

Fundamentals of Algebra

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conics

Sequences, Series, and the Binomial Theorem

Filters

Exam 2: Linear Equations and Inequalities

Transform the absolute value inequality ∣2−2h∣≥7| 2 - 2 h | \geq 7∣2−2h∣≥7 into two separate inequalities.

Solve ∣3x+8∣−14=−8| 3 x + 8 | - 14 = - 8∣3x+8∣−14=−8 , if possible.

Determine if x=2x = 2x=2 is a solution to ∣x∣<3| x | < 3∣x∣<3 .

Solve the linear equation −13=110- \frac { 1 } { 3 } = \frac { 1 } { 10 }−31​=101​ for t .

Write an absolute value inequality that represents the verbal statement, The set of all real numbers x for which the distance from 0 to 888 less than three times x is more than 222 .

Write the solution set as a compound inequality.

Solve ∣2x−1∣≤5| 2 x - 1 | \leq 5∣2x−1∣≤5 , if possible. Write the answer in set notation.

Solve the equation ∣x+7∣=∣2x+5∣| x + 7 | = | 2 x + 5 |∣x+7∣=∣2x+5∣ .

What number is 150% of 38?

Write a verbal description of t<7t < 7t<7 .

Solve ∣4z+56∣−2=6\left| \frac { 4 z + 5 } { 6 } \right| - 2 = 6​64z+5​​−2=6 , if possible.

Solve the linear equation −7(y+4)=−y+2- 7 ( y + 4 ) = - y + 2−7(y+4)=−y+2 for y .

Solve the linear equation 7x−5=377 x - 5 = 377x−5=37 for x .

Solve the equation x+9=26x + 9 = 26x+9=26 .

Write an absolute value inequality that represents the interval shown in the following figure.

Approximately 12% of the students enrolled at Penn State University in the fall of 2006 were freshmen. The total enrollment for the school in the fall of 2006 was 83,030. How many freshmen were enrolled? Round your answer to the nearest integer.

A free-falling object is described by h=35t+12at2h = 35 t + \frac { 1 } { 2 } a t ^ { 2 }h=35t+21​at2 , where h is the height above the ground, t is the amount of time the object is falling, and a is the acceleration. Solve the equation for a .

Find the unit price (in dollars per ounce)if a 15-ounce can of pineapple costs $3.45.

If it takes you 12 hours to complete a job, what portion do you complete each hour?

Solve the proportion x5=720\frac { x } { 5 } = \frac { 7 } { 20 }5x​=207​ to determine x .

Fundamentals of Algebra

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conics

Sequences, Series, and the Binomial Theorem

Filters

Transform the absolute value inequality $| 2 - 2 h | \geq 7$ into two separate inequalities.

Solve $| 3 x + 8 | - 14 = - 8$ , if possible.

Determine if $x = 2$ is a solution to $| x | < 3$ .

Solve the linear equation $- \frac { 1 } { 3 } = \frac { 1 } { 10 }$ for t .

Write an absolute value inequality that represents the verbal statement, The set of all real numbers x for which the distance from 0 to $8$ less than three times x is more than $2$ .

Solve $| 2 x - 1 | \leq 5$ , if possible. Write the answer in set notation.

Solve the equation $| x + 7 | = | 2 x + 5 |$ .

Write a verbal description of $t < 7$ .

Solve $\left| \frac { 4 z + 5 } { 6 } \right| - 2 = 6$ , if possible.

Solve the linear equation $- 7 ( y + 4 ) = - y + 2$ for y .

Solve the linear equation $7 x - 5 = 37$ for x .

Solve the equation $x + 9 = 26$ .

A free-falling object is described by $h = 35 t + \frac { 1 } { 2 } a t ^ { 2 }$ , where h is the height above the ground, t is the amount of time the object is falling, and a is the acceleration. Solve the equation for a .

Solve the proportion $\frac { x } { 5 } = \frac { 7 } { 20 }$ to determine x .