Question 1

Solve $6 y - 2 = 6 y$ , if possible.

Accepted Answer

A)  y=-25 
B)  y=0 
C)  y=10 
D)  y=-16 
E) no solution 
A)  y=-25 
B)  y=0 
C)  y=10 
D)  y=-16 
E) no solution

Question 2

Write an absolute value inequality that represents the verbal statement, The set of all real numbers x whose distance from 0 is less than $8$ .

Accepted Answer

A)  $| x |  0$ 
C)  $| x | > 8$ 
D)  $| x | \leq 8$ 
E)  $| x - 8 | \geq 0$ 
A)  $| x |  0$ 
C)  $| x | > 8$ 
D)  $| x | \leq 8$ 
E)  $| x - 8 | \geq 0$

Question 3

Find an equation that has $x = - \frac { 21 } { 4 }$ as a solution.

Accepted Answer

A)  $2 x + 5 = - 2 ( x + 8 )$ 
B)  $- 2 x + 5 = - 2 ( x + 8 )$ 
C)  $2 x + 5 = 2 ( x + 8 )$ 
D)  $2 x - 5 = - 2 ( x - 8 )$ 
E)  $- 2 x + 5 = 2 ( x + 8 )$ 
A)  $2 x + 5 = - 2 ( x + 8 )$ 
B)  $- 2 x + 5 = - 2 ( x + 8 )$ 
C)  $2 x + 5 = 2 ( x + 8 )$ 
D)  $2 x - 5 = - 2 ( x - 8 )$ 
E)  $- 2 x + 5 = 2 ( x + 8 )$

Question 4

Solve the linear equation $4 ( x + 2 ) = - 9 ( x - 4 )$ for x .

Accepted Answer

A)  $x = - \frac { 28 } { 13 }$ 
B)  $x = \frac { 44 } { 13 }$ 
C)  $x = - \frac { 44 } { 13 }$ 
D)  x=0 
E)  $x = \frac { 28 } { 13 }$ 
A)  $x = - \frac { 28 } { 13 }$ 
B)  $x = \frac { 44 } { 13 }$ 
C)  $x = - \frac { 44 } { 13 }$ 
D)  x=0 
E)  $x = \frac { 28 } { 13 }$

Question 5

Solve the linear equation $5 - 7 t = - 19 + t$ for t .

Accepted Answer

A)  t=3 
B)  t=-16 
C)  t=-3 
D)  t=16 
E)  t=0 
A)  t=3 
B)  t=-16 
C)  t=-3 
D)  t=16 
E)  t=0

Question 6

Solve the linear equation $11 x - 5 = 11 - 5 x$ for x .

Accepted Answer

A)  x=1 
B)  x=0 
C)  x=5 
D)  x=11 
E)  x=14 
A)  x=1 
B)  x=0 
C)  x=5 
D)  x=11 
E)  x=14

Question 7

Determine if x=2  is a solution to $x + 8 = 3 x$ .

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 8

Solve the linear equation $\frac { 1 } { 4 } x + 2 = \frac { 6 } { 7 } x - 3$ for x .

Accepted Answer

A)  $x = \frac { 140 } { 17 }$ 
B)  $x = - \frac { 140 } { 17 }$ 
C)  $x = \frac { 28 } { 17 }$ 
D)  $x = - \frac { 28 } { 17 }$ 
E) there is no solution 
A)  $x = \frac { 140 } { 17 }$ 
B)  $x = - \frac { 140 } { 17 }$ 
C)  $x = \frac { 28 } { 17 }$ 
D)  $x = - \frac { 28 } { 17 }$ 
E) there is no solution

Question 9

What number is 8% of 1236?

Accepted Answer

A) 989 
B) 0.06 
C) 154.5 
D) 98.88 
E) 9,888 
A) 989 
B) 0.06 
C) 154.5 
D) 98.88 
E) 9,888

Question 10

Graph the inequality $x < - 2$ or $x \geq 1$ .

Accepted Answer

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

Question 11

A customer gave a taxi driver $24 for a ride that cost $18. Determine the tip rate. Round your answer to the nearest integer.

Accepted Answer

A) 33% 
B) 75% 
C) 6% 
D) 36% 
E) 25% 
A) 33% 
B) 75% 
C) 6% 
D) 36% 
E) 25%

Question 12

Determine if $x = 3$ is a solution to $| x - 3 | > 5$ .

Accepted Answer

A)  $x = 3$ is not a solution. 
B)  $x = 3$ is a solution. 
A)  $x = 3$ is not a solution. 
B)  $x = 3$ is a solution.

Question 13

Solve $1.2 ( x - 5 ) = 14.4$ , if possible.

Accepted Answer

A)  x=3.8 
B)  x=10.6 
C)  x=8 
D)  x=17 
E) no solution 
A)  x=3.8 
B)  x=10.6 
C)  x=8 
D)  x=17 
E) no solution

Question 14

Write the solution using set notation and the union or intersection symbol.

Accepted Answer

A) $\{ x \mid x \geq - 4 \} \cap \{ x \mid x > 2 \}$ B) $\{ x \mid x \geq - 4 \} \cap \{ x \mid x - 4 \} \cup \{ x \mid x \leq 2 \}$ D) $\{ x \mid x \geq - 4 \} \cup \{ x \mid x - 4 \} \cap \{ x \mid x < 2 \}$ A) $\{ x \mid x \geq - 4 \} \cap \{ x \mid x > 2 \}$ B) $\{ x \mid x \geq - 4 \} \cap \{ x \mid x - 4 \} \cup \{ x \mid x \leq 2 \}$ D) $\{ x \mid x \geq - 4 \} \cup \{ x \mid x - 4 \} \cap \{ x \mid x < 2 \}$

Question 15

Solve $\frac { | a + 8 | } { 2 } \geq 20$ , if possible. Write the answer in set notation.

Accepted Answer

A)  $\{ a \mid a \leq - 48 \text { or } a \geq 32 \}$ 
B)  $\{ a \mid a \leq - 96 \text { or } a \geq 64 \}$ 
C)  $\{ a \mid - 48 \leq a \leq 32 \}$ 
D)  $\{ a \mid - 96 \leq a \leq 64 \}$ 
E) no solution 
A)  $\{ a \mid a \leq - 48 \text { or } a \geq 32 \}$ 
B)  $\{ a \mid a \leq - 96 \text { or } a \geq 64 \}$ 
C)  $\{ a \mid - 48 \leq a \leq 32 \}$ 
D)  $\{ a \mid - 96 \leq a \leq 64 \}$ 
E) no solution

Question 16

Solve: $\frac { x - 5 } { 3 } + 6 \leq \frac { x } { 8 }$

Accepted Answer

A)  $x \leq \frac { 104 } { 3 }$ 
B)  $x \geq - \frac { 104 } { 5 }$ 
C)  $x \leq \frac { 104 } { 5 }$ 
D)  $x \leq - \frac { 184 } { 5 }$ 
E)  $x \leq - \frac { 104 } { 5 }$ 
A)  $x \leq \frac { 104 } { 3 }$ 
B)  $x \geq - \frac { 104 } { 5 }$ 
C)  $x \leq \frac { 104 } { 5 }$ 
D)  $x \leq - \frac { 184 } { 5 }$ 
E)  $x \leq - \frac { 104 } { 5 }$

Question 17

Which is a better buy, a four ounce package of cookies for $1.68 or a six ounce package of cookies for $2.38?

Accepted Answer

A) The four ounce package is a better buy. 
B) The six ounce package is a better buy. 
A) The four ounce package is a better buy. 
B) The six ounce package is a better buy.

Question 18

Ticket sales for a spaghetti dinner total $980 . There are four times as many adult tickets sold as children s tickets. The prices of the tickets for adults and children are $6 and $4 , respectively. Find the number of children s tickets sold.

Accepted Answer

A)  42 children s tickets 
B)  25 children s tickets 
C)  38 children s tickets 
D)  35 children s tickets 
E)  30 children s tickets 
A)  42 children s tickets 
B)  25 children s tickets 
C)  38 children s tickets 
D)  35 children s tickets 
E)  30 children s tickets

Question 19

Solve for the length of x using the fact that corresponding sides of similar triangles are proportional. Round your answer to two decimal places. $\frac { | a + 8 | } { 2 } \geq 20$ $\{ a \mid a \leq - 48 \text { or } a \geq 32 \}$

Accepted Answer

A) 1.30 
B) 10.40 
C) 6.15 
D) 4.06 
E) 1.60 
A) 1.30 
B) 10.40 
C) 6.15 
D) 4.06 
E) 1.60

Question 20

Which of the following is a solution to the inequality $2 - ( x + 9 ) \geq 4$ ?

Accepted Answer

A)  x=-15 
B)  x=-10 
C)  x=-8 
D)  x=4 
E)  x=0 
A)  x=-15 
B)  x=-10 
C)  x=-8 
D)  x=4 
E)  x=0

Solve $6 y - 2 = 6 y$ , if possible.

Write an absolute value inequality that represents the verbal statement, The set of all real numbers x whose distance from 0 is less than $8$ .

Find an equation that has $x = - \frac { 21 } { 4 }$ as a solution.

Solve the linear equation $4 ( x + 2 ) = - 9 ( x - 4 )$ for x .

Solve the linear equation $5 - 7 t = - 19 + t$ for t .

Solve the linear equation $11 x - 5 = 11 - 5 x$ for x .

Determine if x=2 is a solution to $x + 8 = 3 x$ .

Solve the linear equation $\frac { 1 } { 4 } x + 2 = \frac { 6 } { 7 } x - 3$ for x .

What number is 8% of 1236?

Graph the inequality $x < - 2$ or $x \geq 1$ .

A customer gave a taxi driver $24 for a ride that cost $18. Determine the tip rate. Round your answer to the nearest integer.

Determine if $x = 3$ is a solution to $| x - 3 | > 5$ .

Solve $1.2 ( x - 5 ) = 14.4$ , if possible.

Write the solution using set notation and the union or intersection symbol.

Solve $\frac { | a + 8 | } { 2 } \geq 20$ , if possible. Write the answer in set notation.

Solve: $\frac { x - 5 } { 3 } + 6 \leq \frac { x } { 8 }$

Which is a better buy, a four ounce package of cookies for $1.68 or a six ounce package of cookies for $2.38?

Ticket sales for a spaghetti dinner total $980 . There are four times as many adult tickets sold as children s tickets. The prices of the tickets for adults and children are $6 and $4 , respectively. Find the number of children s tickets sold.

Solve for the length of x using the fact that corresponding sides of similar triangles are proportional. Round your answer to two decimal places. $\frac { | a + 8 | } { 2 } \geq 20$ $\{ a \mid a \leq - 48 \text { or } a \geq 32 \}$

Which of the following is a solution to the inequality $2 - ( x + 9 ) \geq 4$ ?

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

Solve 6y−2=6y6 y - 2 = 6 y6y−2=6y , if possible.

Write an absolute value inequality that represents the verbal statement, The set of all real numbers x whose distance from 0 is less than 888 .

Find an equation that has x=−214x = - \frac { 21 } { 4 }x=−421​ as a solution.

Solve the linear equation 4(x+2)=−9(x−4)4 ( x + 2 ) = - 9 ( x - 4 )4(x+2)=−9(x−4) for x .

Solve the linear equation 5−7t=−19+t5 - 7 t = - 19 + t5−7t=−19+t for t .

Solve the linear equation 11x−5=11−5x11 x - 5 = 11 - 5 x11x−5=11−5x for x .

Determine if x=2 is a solution to x+8=3xx + 8 = 3 xx+8=3x .

Solve the linear equation 14x+2=67x−3\frac { 1 } { 4 } x + 2 = \frac { 6 } { 7 } x - 341​x+2=76​x−3 for x .

What number is 8% of 1236?

Graph the inequality x<−2x < - 2x<−2 or x≥1x \geq 1x≥1 .

A customer gave a taxi driver $24 for a ride that cost $18. Determine the tip rate. Round your answer to the nearest integer.

Determine if x=3x = 3x=3 is a solution to ∣x−3∣>5| x - 3 | > 5∣x−3∣>5 .

Solve 1.2(x−5)=14.41.2 ( x - 5 ) = 14.41.2(x−5)=14.4 , if possible.

Write the solution using set notation and the union or intersection symbol.

Solve ∣a+8∣2≥20\frac { | a + 8 | } { 2 } \geq 202∣a+8∣​≥20 , if possible. Write the answer in set notation.

Solve: x−53+6≤x8\frac { x - 5 } { 3 } + 6 \leq \frac { x } { 8 }3x−5​+6≤8x​

Which is a better buy, a four ounce package of cookies for $1.68 or a six ounce package of cookies for $2.38?

Ticket sales for a spaghetti dinner total $980 . There are four times as many adult tickets sold as children s tickets. The prices of the tickets for adults and children are $6 and $4 , respectively. Find the number of children s tickets sold.

Which of the following is a solution to the inequality 2−(x+9)≥42 - ( x + 9 ) \geq 42−(x+9)≥4 ?

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

Solve $6 y - 2 = 6 y$ , if possible.

Write an absolute value inequality that represents the verbal statement, The set of all real numbers x whose distance from 0 is less than $8$ .

Find an equation that has $x = - \frac { 21 } { 4 }$ as a solution.

Solve the linear equation $4 ( x + 2 ) = - 9 ( x - 4 )$ for x .

Solve the linear equation $5 - 7 t = - 19 + t$ for t .

Solve the linear equation $11 x - 5 = 11 - 5 x$ for x .

Determine if x=2 is a solution to $x + 8 = 3 x$ .

Solve the linear equation $\frac { 1 } { 4 } x + 2 = \frac { 6 } { 7 } x - 3$ for x .

Graph the inequality $x < - 2$ or $x \geq 1$ .

Determine if $x = 3$ is a solution to $| x - 3 | > 5$ .

Solve $1.2 ( x - 5 ) = 14.4$ , if possible.

Solve $\frac { | a + 8 | } { 2 } \geq 20$ , if possible. Write the answer in set notation.

Solve: $\frac { x - 5 } { 3 } + 6 \leq \frac { x } { 8 }$

Which of the following is a solution to the inequality $2 - ( x + 9 ) \geq 4$ ?