Question 1

Translate each graph to an inequality using the variable x.
-

Accepted Answer

A)  $x  - 5.2$ 
D)  $x \leq - 5.2$ 
A)  $x  - 5.2$ 
D)  $x \leq - 5.2$

Question 2

Solve the inequality.
-$$\frac { x + 4 } { 6 } - \frac { 1 } { 16 } > \frac { x + 7 } { 8 }$$

Accepted Answer

A)  $x  \frac { 77 } { 2 }$ 
D)  $x >ــــ$ 
A)  $x  \frac { 77 } { 2 }$ 
D)  $x >ــــ$

Question 3

Solve the inequality. Graph the results.
-$$x + 6 < - 1$$

Accepted Answer

A) $x > - 7$ B) $x \leq - 7$ C) $x \geq - 7$ D) $x < - 7$ A) $x > - 7$ B) $x \leq - 7$ C) $x \geq - 7$ D) $x < - 7$

Question 4

Write an algebraic expression for the quantity. Let x represent the unknown value.
-A quantity increased by 25.

Accepted Answer

A) x - 25 
B) x + 25 
C) 25x $$\text { 
D)  } \frac { 25 } { x }$$ 
A) x - 25 
B) x + 25 
C) 25x $$\text { 
D)  } \frac { 25 } { x }$$

Question 5

Solve.
-A promotional deal for phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe's phone bill was $70 under this promotional deal, how many minutes of phone calls did he make? Round to the nearest
Integer, if necessary.

Accepted Answer

A) 1100 min 
B) 3 min 
C) 11 min 
D) 1700 min 
A) 1100 min 
B) 3 min 
C) 11 min 
D) 1700 min

Question 6

Find the value of x that satisfies the equation.
-$$x + \frac { 4 } { 7 } = \frac { 6 } { 7 }$$

Accepted Answer

A)  $x = 2$ 
B)  $x = \frac { 10 } { 7 }$ 
C)  $x = \frac { 5 } { 7 }$ 
D)  $x = \frac { 2 } { 7 }$ 
A)  $x = 2$ 
B)  $x = \frac { 10 } { 7 }$ 
C)  $x = \frac { 5 } { 7 }$ 
D)  $x = \frac { 2 } { 7 }$

Question 7

Solve for x. Check your answers.
-9 + 11 + x = 6 + 8

Accepted Answer

A) x = 16 
B) x = -6 
C) x = 34 
D) x = -22 
A) x = 16 
B) x = -6 
C) x = 34 
D) x = -22

Question 8

Solve for the variable
-$7 y + 1 + 6 ( y + 1 ) = 7 y + 6$

Accepted Answer

A)  $y = - \frac { 1 } { 6 }$ 
B)  $y =$ 
C)  $y = -$ 
D)  $y = \frac { 1 } { 10 }$ 
A)  $y = - \frac { 1 } { 6 }$ 
B)  $y =$ 
C)  $y = -$ 
D)  $y = \frac { 1 } { 10 }$

Question 9

Determine whether the given solution is correct. If it is not, find the solution.
-Is $\frac { 9 } { 17 }$ the solution for $- 5 x + 7 = - 10 + 4 x ?$

Accepted Answer

A)  $\mathrm { No } ; \mathrm { x } = \frac { 17 } { 9 }$ 
B)  No; $x = \frac { 1 } { 3 }$ 
C)  No; $x = - \frac { 9 } { 17 }$ 
D)  Yes 
A)  $\mathrm { No } ; \mathrm { x } = \frac { 17 } { 9 }$ 
B)  No; $x = \frac { 1 } { 3 }$ 
C)  No; $x = - \frac { 9 } { 17 }$ 
D)  Yes

Question 10

Replace the ? by .
-7 ? -2

Accepted Answer

A)  
A)

Question 11

Translate the graph to an inequality using the variable x.
-

Accepted Answer

A)  $x \leq - 5$ 
B)  $x  - 5$ 
A)  $x \leq - 5$ 
B)  $x  - 5$

Question 12

Solve.
-A salesperson in an expensive clothing store earns $2600 per month base pay plus a 6.5% commission on sales. One month she earns $5518.50. What were her sales for that month?

Accepted Answer

A) $294,450 
B) $297,050 
C) $44,900 
D) $56,134 
A) $294,450 
B) $297,050 
C) $44,900 
D) $56,134

Question 13

Solve for x. Check your answers.
-x + 18 = 19

Accepted Answer

A) x = 1 
B) x = 37 
C) x = -37 
D) x = -1 
A) x = 1 
B) x = 37 
C) x = -37 
D) x = -1

Question 14

Find the value of x that satisfies the equation.
--7.5 + x = 17.2

Accepted Answer

A) x = 9.2 
B) x = 24.7 
C) x = 24.2 
D) x = 9.7 
A) x = 9.2 
B) x = 24.7 
C) x = 24.2 
D) x = 9.7

Question 15

Solve for x. Check your answers.
--9 = x - 7

Accepted Answer

A) x = -2 
B) x = 16 
C) x = -16 
D) x = 2 
A) x = -2 
B) x = 16 
C) x = -16 
D) x = 2

Question 16

Find the value of the variable that satisfies the equation.
-$$3 \mathrm { x } + 16 \mathrm { x } = 15$$

Accepted Answer

A)  $x = 285$ 
B)  $x = - 4$ 
C)  $x = \frac { 19 } { 15 }$ 
D)  $x = \frac { 15 } { 19 }$ 
A)  $x = 285$ 
B)  $x = - 4$ 
C)  $x = \frac { 19 } { 15 }$ 
D)  $x = \frac { 15 } { 19 }$

Question 17

Graph the inequality on the number line.
-x < 1

Accepted Answer

A)   
B)   
C)   
D)   
A)   
B)   
C)   
D)

Question 18

Solve.
-Gary has a budget of $1930 to rent a computer for his company office. The computer company he wants to rent from charges $250 for installation and service as a one-time fee. Then they charge $105 per month rental for the
Computer. How many months will Gary be able to rent a computer with this budget?

Accepted Answer

A) 21 months 
B) 14 months 
C) 18 months 
D) 16 months 
A) 21 months 
B) 14 months 
C) 18 months 
D) 16 months

Question 19

Solve.
-$$24 ( x + 1 ) = 2 ( 12 x - 3 ) + 30$$

Accepted Answer

A)  Infinite number of solutions 
B)  $x =$ 
C)  $x = 0$ 
D)  No solution 
A)  Infinite number of solutions 
B)  $x =$ 
C)  $x = 0$ 
D)  No solution

Question 20

Solve for the variable
-$$2 ( x + 5 ) = 3 ( x - 8 )$$

Accepted Answer

A)  $x = 34$ 
B)  $x = - 34$ 
C)  $x = 14$ 
D)  $x = - 14$ 
A)  $x = 34$ 
B)  $x = - 34$ 
C)  $x = 14$ 
D)  $x = - 14$

Translate each graph to an inequality using the variable x. -

Solve the inequality. - $\frac { x + 4 } { 6 } - \frac { 1 } { 16 } > \frac { x + 7 } { 8 }$

Solve the inequality. Graph the results. - $x + 6 < - 1$

Write an algebraic expression for the quantity. Let x represent the unknown value. -A quantity increased by 25.

Solve. -A promotional deal for phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe's phone bill was $70 under this promotional deal, how many minutes of phone calls did he make? Round to the nearest Integer, if necessary.

Find the value of x that satisfies the equation. - $x + \frac { 4 } { 7 } = \frac { 6 } { 7 }$

Solve for x. Check your answers. -9 + 11 + x = 6 + 8

Solve for the variable - $7 y + 1 + 6 ( y + 1 ) = 7 y + 6$

Determine whether the given solution is correct. If it is not, find the solution. -Is $\frac { 9 } { 17 }$ the solution for $- 5 x + 7 = - 10 + 4 x ?$

Replace the ? by < or >. -7 ? -2

Translate the graph to an inequality using the variable x. -

Solve. -A salesperson in an expensive clothing store earns $2600 per month base pay plus a 6.5% commission on sales. One month she earns $5518.50. What were her sales for that month?

Solve for x. Check your answers. -x + 18 = 19

Find the value of x that satisfies the equation. --7.5 + x = 17.2

Solve for x. Check your answers. --9 = x - 7

Find the value of the variable that satisfies the equation. - $3 \mathrm { x } + 16 \mathrm { x } = 15$

Graph the inequality on the number line. -x < 1

Solve. - $24 ( x + 1 ) = 2 ( 12 x - 3 ) + 30$

Solve for the variable - $2 ( x + 5 ) = 3 ( x - 8 )$

Real Numbers and Variables

Graphing and Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Rational Exponents and Radicals

Quadratic Equations and Inequalities

The Conic Sections

Additional Properties of Functions

Logarithmic and Exponential Functions

Filters

Exam 2: Equations, Inequalities, and Applications