Question 1

Solve the equation. 27 $-$ 18 a = 45

Accepted Answer

A)  a = 4 
B)  a = 7.5 
C)  a = 2 
D)  a = 14 
E)  a = $-$ 4 
A)  a = 4 
B)  a = 7.5 
C)  a = 2 
D)  a = 14 
E)  a = $-$ 4

Question 2

For the following problem, solve the inequality. $23 > 19 x + 99$

Accepted Answer

A)  $( - \infty , - 4 ]$ 
B)  $( - 4 , \infty )$ 
C)  $[ - 4 , \infty )$ 
D)  $( - \infty , - 4 )$ 
E)  none of these 
A)  $( - \infty , - 4 ]$ 
B)  $( - 4 , \infty )$ 
C)  $[ - 4 , \infty )$ 
D)  $( - \infty , - 4 )$ 
E)  none of these

Question 3

Solve the inequality. $\frac { y - 1 } { 2 } + \frac { y + 9 } { 17 } > \frac { 1 } { 34 }$

Accepted Answer

A) $y \leq 1$ B) $y \leq 0$ C) $y > 0$ D) $y < 0$ E) $y \geq 0$ A) $y \leq 1$ B) $y \leq 0$ C) $y > 0$ D) $y < 0$ E) $y \geq 0$

Question 4

Solve the equation. 6 t $-$ 4 = 8

Accepted Answer

A)  t = 6 
B)  t = 8 
C)  t = 1 
D)  t = 2 
A)  t = 6 
B)  t = 8 
C)  t = 1 
D)  t = 2

Question 5

Solve this equation. $-$ 3( t $-$ 3) = $-$ 2( t $-$ 8)

Accepted Answer

A)  t = -17 
B)  t = -11 
C)  t = -7 
D)  t = 3 
A)  t = -17 
B)  t = -11 
C)  t = -7 
D)  t = 3

Question 6

Solve the equation. $8 n - 4 = 8 n - 1$

Accepted Answer

A)  9 
B)  6 
C)  8 
D)  no solution 
E)  all reals 
A)  9 
B)  6 
C)  8 
D)  no solution 
E)  all reals

Question 7

Solve the equation. $\frac { h + 1 } { 7 } - \frac { h - 10 } { 9 } = \frac { 11 } { 9 }$

Accepted Answer

A)  h = -1 
B)  h = 17 
C)  h = 0 
D)  h = 1 
A)  h = -1 
B)  h = 17 
C)  h = 0 
D)  h = 1

Question 8

Solve the equation. $9 p + 2 + 3 p = 5 p + 6 p - 5$

Accepted Answer

The answer of Solve the equation. \(9 p + 2...

Question 9

Sydney earns $2,100 a month. To qualify for a mortgage, her monthly payments must be less than 39% of her monthly income. What could her monthly payments be in order to qualify for the mortgage?

Accepted Answer

A)  less than $819 
B)  less than $82 
C)  less than $81 
D)  less than $813 
E)  less than $815 
A)  less than $819 
B)  less than $82 
C)  less than $81 
D)  less than $813 
E)  less than $815

Question 10

For the following problem state the solution set. $- ( - 8 ) \leq - x$

Accepted Answer

A)  $[ - 8 , \infty )$ 
B)  $( - \infty , - 8 )$ 
C)  $( - \infty , - 8 ]$ 
D)  $( - 8 , \infty )$ 
E)  none of these 
A)  $[ - 8 , \infty )$ 
B)  $( - \infty , - 8 )$ 
C)  $( - \infty , - 8 ]$ 
D)  $( - 8 , \infty )$ 
E)  none of these

Question 11

Use the properties of equality to solve the equation. $\frac { t } { 10 } = 11$

Accepted Answer

A)  t = 21 
B)  t = 110 
C)  t = 11 
D)  t = 10 
E)  none of these 
A)  t = 21 
B)  t = 110 
C)  t = 11 
D)  t = 10 
E)  none of these

Question 12

Use the properties of equality to solve the equation. $-$ 1 = t + 20

Accepted Answer

The answer of Use the properties of equality to solve...

Question 13

Twelve added to a certain number is 25. What is the number?

Accepted Answer

A)  19 
B)  22 
C)  13 
D)  6 
A)  19 
B)  22 
C)  13 
D)  6

Question 14

The addition-subtraction property of equality state that any number, except 0, can be added to or subtracted from both sides of an equation to produce equivalent equations.

Accepted Answer

A) True 
 B)False

Question 15

Solve the inequality. $- 3 ( c + 2 ) > 9$

Accepted Answer

The answer of Solve the inequality. \(- 3 ( c...

Question 16

Use the properties of equality to solve the equation. $-$ 5 = m + 8

Accepted Answer

The answer of Use the properties of equality to solve...

Question 17

For the following problem, solve the inequality. $x + 12 \geq - 6$ Please enter your answer as an interval.

Accepted Answer

The answer of For the following problem, solve the inequality....

Question 18

Solve the equation. $12 ( 9 t + 45 ) = 12 ( 9 t + 45 )$

Accepted Answer

A)  8 
B)  1 
C)  2 
D)  all reals 
E)  no solution 
A)  8 
B)  1 
C)  2 
D)  all reals 
E)  no solution

Question 19

For the following problem, solve the inequality. $10 x - 30 - 4 x < 12$

Accepted Answer

The answer of For the following problem, solve the inequality....

Question 20

Solve the equation. $8 y - 6 = 5 y - 9$

Accepted Answer

The answer of Solve the equation. \(8 y - 6...

Solve the equation. 27 $-$ 18 a = 45

For the following problem, solve the inequality. $23 > 19 x + 99$

Solve the inequality. $\frac { y - 1 } { 2 } + \frac { y + 9 } { 17 } > \frac { 1 } { 34 }$

Solve the equation. 6 t $-$ 4 = 8

Solve this equation. $-$ 3( t $-$ 3) = $-$ 2( t $-$ 8)

Solve the equation. $8 n - 4 = 8 n - 1$

Solve the equation. $\frac { h + 1 } { 7 } - \frac { h - 10 } { 9 } = \frac { 11 } { 9 }$

Solve the equation. $9 p + 2 + 3 p = 5 p + 6 p - 5$

Sydney earns $2,100 a month. To qualify for a mortgage, her monthly payments must be less than 39% of her monthly income. What could her monthly payments be in order to qualify for the mortgage?

For the following problem state the solution set. $- ( - 8 ) \leq - x$

Use the properties of equality to solve the equation. $\frac { t } { 10 } = 11$

Use the properties of equality to solve the equation. $-$ 1 = t + 20

Twelve added to a certain number is 25. What is the number?

The addition-subtraction property of equality state that any number, except 0, can be added to or subtracted from both sides of an equation to produce equivalent equations.

Solve the inequality. $- 3 ( c + 2 ) > 9$

Use the properties of equality to solve the equation. $-$ 5 = m + 8

For the following problem, solve the inequality. $x + 12 \geq - 6$ Please enter your answer as an interval.

Solve the equation. $12 ( 9 t + 45 ) = 12 ( 9 t + 45 )$

For the following problem, solve the inequality. $10 x - 30 - 4 x < 12$

Solve the equation. $8 y - 6 = 5 y - 9$

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 3: Equations, Inequalities and Problem Solving

Solve the equation. 27 −-− 18 a = 45

For the following problem, solve the inequality. 23>19x+9923 > 19 x + 9923>19x+99

Solve the inequality. y−12+y+917>134\frac { y - 1 } { 2 } + \frac { y + 9 } { 17 } > \frac { 1 } { 34 }2y−1​+17y+9​>341​

Solve the equation. 6 t −-− 4 = 8

Solve this equation. −-− 3( t −-− 3) = −-− 2( t −-− 8)

Solve the equation. 8n−4=8n−18 n - 4 = 8 n - 18n−4=8n−1

Solve the equation. h+17−h−109=119\frac { h + 1 } { 7 } - \frac { h - 10 } { 9 } = \frac { 11 } { 9 }7h+1​−9h−10​=911​

Solve the equation. 9p+2+3p=5p+6p−59 p + 2 + 3 p = 5 p + 6 p - 59p+2+3p=5p+6p−5

Sydney earns $2,100 a month. To qualify for a mortgage, her monthly payments must be less than 39% of her monthly income. What could her monthly payments be in order to qualify for the mortgage?

For the following problem state the solution set. −(−8)≤−x- ( - 8 ) \leq - x−(−8)≤−x

Use the properties of equality to solve the equation. t10=11\frac { t } { 10 } = 1110t​=11

Use the properties of equality to solve the equation. −-− 1 = t + 20

Twelve added to a certain number is 25. What is the number?

The addition-subtraction property of equality state that any number, except 0, can be added to or subtracted from both sides of an equation to produce equivalent equations.

Solve the inequality. −3(c+2)>9- 3 ( c + 2 ) > 9−3(c+2)>9

Use the properties of equality to solve the equation. −-− 5 = m + 8

For the following problem, solve the inequality. x+12≥−6x + 12 \geq - 6x+12≥−6 Please enter your answer as an interval.

Solve the equation. 12(9t+45)=12(9t+45)12 ( 9 t + 45 ) = 12 ( 9 t + 45 )12(9t+45)=12(9t+45)

For the following problem, solve the inequality. 10x−30−4x<1210 x - 30 - 4 x < 1210x−30−4x<12

Solve the equation. 8y−6=5y−98 y - 6 = 5 y - 98y−6=5y−9

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Solve the equation. 27 $-$ 18 a = 45

For the following problem, solve the inequality. $23 > 19 x + 99$

Solve the inequality. $\frac { y - 1 } { 2 } + \frac { y + 9 } { 17 } > \frac { 1 } { 34 }$

Solve the equation. 6 t $-$ 4 = 8

Solve this equation. $-$ 3( t $-$ 3) = $-$ 2( t $-$ 8)

Solve the equation. $8 n - 4 = 8 n - 1$

Solve the equation. $\frac { h + 1 } { 7 } - \frac { h - 10 } { 9 } = \frac { 11 } { 9 }$

Solve the equation. $9 p + 2 + 3 p = 5 p + 6 p - 5$

For the following problem state the solution set. $- ( - 8 ) \leq - x$

Use the properties of equality to solve the equation. $\frac { t } { 10 } = 11$

Use the properties of equality to solve the equation. $-$ 1 = t + 20

Solve the inequality. $- 3 ( c + 2 ) > 9$

Use the properties of equality to solve the equation. $-$ 5 = m + 8

For the following problem, solve the inequality. $x + 12 \geq - 6$ Please enter your answer as an interval.

Solve the equation. $12 ( 9 t + 45 ) = 12 ( 9 t + 45 )$

For the following problem, solve the inequality. $10 x - 30 - 4 x < 12$

Solve the equation. $8 y - 6 = 5 y - 9$