Question 1

The union of two sets contains the elements that are common to both sets.

Accepted Answer

A) True 
 B)False

Question 2

Solve the equation. $4 ( t + 4 ) = 2 ( 2 t + 8 )$

Accepted Answer

The answer of Solve the equation. \(4 ( t +...

Question 3

Solve the equation. 3( r $-$ 5) + 2( r $-$ 4) = $-$ 2( r $-$ 1) + 8( r + 2)

Accepted Answer

The answer of Solve the equation. 3( r $-$ 5)...

Question 4

Solve the problem by setting up and solving an appropriate inequality. Stacy bowled 170 and 140 in her first two games. What must she bowl in the third game to have an average of at least 140 for the three games?

Accepted Answer

A)  $x \geq 130$ 
B)  $x > 110$ 
C)  $x \geq 110$ 
D)  $x > 130$ 
A)  $x \geq 130$ 
B)  $x > 110$ 
C)  $x \geq 110$ 
D)  $x > 130$

Question 5

Use the properties of equality to solve the equation. $- 4 a = \frac { 1 } { 7 }$ Enter your answer in fraction form.

Accepted Answer

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

Question 6

Solve the inequality. $- 6 ( s + 4 ) > 36$

Accepted Answer

A)  $( - \infty , - 10 )$ 
B)  $( - 10 , \infty )$ 
C)  $( - \infty , - 2 )$ 
D)  $( - 2 , \infty )$ 
A)  $( - \infty , - 10 )$ 
B)  $( - 10 , \infty )$ 
C)  $( - \infty , - 2 )$ 
D)  $( - 2 , \infty )$

Question 7

3 more than 3 times a certain number is the same as 6 less than 2 times the number. Find the number.

Accepted Answer

The answer of 3 more than 3 times a certain...

Question 8

Solve the problem by setting up and solving an appropriate inequality. Chris has scores of 88, 90, and 76 on his first three algebra tests. What score must he get on the fourth test to have an average of 85 or higher for the four tests?

Accepted Answer

A)  $x \geq 86$ 
B)  $x \leq 83$ 
C)  $x \leq 86$ 
D)  $x \geq 83$ 
A)  $x \geq 86$ 
B)  $x \leq 83$ 
C)  $x \leq 86$ 
D)  $x \geq 83$

Question 9

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

Accepted Answer

A)  b = 1 
B)  b = 2 
C)  b = 9 
D)  b = 8 
A)  b = 1 
B)  b = 2 
C)  b = 9 
D)  b = 8

Question 10

Use the properties of equality to solve the equation. x $-$ 11 = 18

Accepted Answer

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

Question 11

Solve this equation. $-$ 3( t $-$ 7) = $-$ 2( t $-$ 1)

Accepted Answer

The answer of Solve this equation. $-$ 3( t $-$...

Question 12

Use the properties of equality to solve the equation. x + 0.19 = 0.26

Accepted Answer

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

Question 13

Solve the inequality. 9 x + 7 x + 11

Accepted Answer

The answer of Solve the inequality. 9 x + 7...

Question 14

Solve the problem by setting up and solving an appropriate inequality. 5 more than three times a number is greater than 20. Find all of the numbers that satisfy this relationship.

Accepted Answer

A)  $( - \infty , 6 )$ 
B)  $( - \infty , 5 )$ 
C)  $( 6 , \infty )$ 
D)  $( 5 , \infty )$ 
A)  $( - \infty , 6 )$ 
B)  $( - \infty , 5 )$ 
C)  $( 6 , \infty )$ 
D)  $( 5 , \infty )$

Question 15

Suppose that two items cost $50. If one of the items costs $20, what is the cost of the other item?

Accepted Answer

A)  $33 
B)  $21 
C)  $30 
D)  $36 
E)  $70 
A)  $33 
B)  $21 
C)  $30 
D)  $36 
E)  $70

Question 16

Write the inequality with x on the left side which has the same solution set as for -23 > x .

Accepted Answer

A) $x \geq - 23$ B) $x \leq - 23$ C) x > -23 D) x < -23 E) none of these A) $x \geq - 23$ B) $x \leq - 23$ C) x > -23 D) x < -23 E) none of these

Question 17

The sum of a number plus 2 times the number is 9. What is the number?

Accepted Answer

A)  13 
B)  0 
C)  3 
D)  -2 
E)  16 
A)  13 
B)  0 
C)  3 
D)  -2 
E)  16

Question 18

Solve the inequality. $13 x + 13 > 13 x + 4$ Write your answer as an interval.

Accepted Answer

The answer of Solve the inequality. \(13 x + 13...

Question 19

Use the properties of equality to solve the equation. 2 u = $-$ 20

Accepted Answer

A)  u = -5 
B)  u = -15 
C)  u = $-$ 10 
D)  u = 0 
E)  none of these 
A)  u = -5 
B)  u = -15 
C)  u = $-$ 10 
D)  u = 0 
E)  none of these

Question 20

Solve the equation. $\frac { b + 1 } { 3 } - \frac { b - 1 } { 9 } = \frac { 2 } { 9 }$

Accepted Answer

To solve the equation \frac { b + 1 } {

The union of two sets contains the elements that are common to both sets.

Solve the equation. $4 ( t + 4 ) = 2 ( 2 t + 8 )$

Solve the equation. 3( r $-$ 5) + 2( r $-$ 4) = $-$ 2( r $-$ 1) + 8( r + 2)

Solve the problem by setting up and solving an appropriate inequality. Stacy bowled 170 and 140 in her first two games. What must she bowl in the third game to have an average of at least 140 for the three games?

Use the properties of equality to solve the equation. $- 4 a = \frac { 1 } { 7 }$ Enter your answer in fraction form.

Solve the inequality. $- 6 ( s + 4 ) > 36$

3 more than 3 times a certain number is the same as 6 less than 2 times the number. Find the number.

Solve the problem by setting up and solving an appropriate inequality. Chris has scores of 88, 90, and 76 on his first three algebra tests. What score must he get on the fourth test to have an average of 85 or higher for the four tests?

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

Use the properties of equality to solve the equation. x $-$ 11 = 18

Solve this equation. $-$ 3( t $-$ 7) = $-$ 2( t $-$ 1)

Use the properties of equality to solve the equation. x + 0.19 = 0.26

Solve the inequality. 9 x + 7 x + 11

Solve the problem by setting up and solving an appropriate inequality. 5 more than three times a number is greater than 20. Find all of the numbers that satisfy this relationship.

Suppose that two items cost $50. If one of the items costs $20, what is the cost of the other item?

Write the inequality with x on the left side which has the same solution set as for -23 > x .

The sum of a number plus 2 times the number is 9. What is the number?

Solve the inequality. $13 x + 13 > 13 x + 4$ Write your answer as an interval.

Use the properties of equality to solve the equation. 2 u = $-$ 20

Solve the equation. $\frac { b + 1 } { 3 } - \frac { b - 1 } { 9 } = \frac { 2 } { 9 }$

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

The union of two sets contains the elements that are common to both sets.

Solve the equation. 4(t+4)=2(2t+8)4 ( t + 4 ) = 2 ( 2 t + 8 )4(t+4)=2(2t+8)

Solve the equation. 3( r −-− 5) + 2( r −-− 4) = −-− 2( r −-− 1) + 8( r + 2)

Solve the problem by setting up and solving an appropriate inequality. Stacy bowled 170 and 140 in her first two games. What must she bowl in the third game to have an average of at least 140 for the three games?

Use the properties of equality to solve the equation. −4a=17- 4 a = \frac { 1 } { 7 }−4a=71​ Enter your answer in fraction form.

Solve the inequality. −6(s+4)>36- 6 ( s + 4 ) > 36−6(s+4)>36

3 more than 3 times a certain number is the same as 6 less than 2 times the number. Find the number.

Solve the problem by setting up and solving an appropriate inequality. Chris has scores of 88, 90, and 76 on his first three algebra tests. What score must he get on the fourth test to have an average of 85 or higher for the four tests?

Solve the equation. 8 = 6 b −-− 4

Use the properties of equality to solve the equation. x −-− 11 = 18

Solve this equation. −-− 3( t −-− 7) = −-− 2( t −-− 1)

Use the properties of equality to solve the equation. x + 0.19 = 0.26

Solve the inequality. 9 x + 7 x + 11

Solve the problem by setting up and solving an appropriate inequality. 5 more than three times a number is greater than 20. Find all of the numbers that satisfy this relationship.

Suppose that two items cost $50. If one of the items costs $20, what is the cost of the other item?

Write the inequality with x on the left side which has the same solution set as for -23 > x .

The sum of a number plus 2 times the number is 9. What is the number?

Solve the inequality. 13x+13>13x+413 x + 13 > 13 x + 413x+13>13x+4 Write your answer as an interval.

Use the properties of equality to solve the equation. 2 u = −-− 20

Solve the equation. b+13−b−19=29\frac { b + 1 } { 3 } - \frac { b - 1 } { 9 } = \frac { 2 } { 9 }3b+1​−9b−1​=92​

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. $4 ( t + 4 ) = 2 ( 2 t + 8 )$

Solve the equation. 3( r $-$ 5) + 2( r $-$ 4) = $-$ 2( r $-$ 1) + 8( r + 2)

Use the properties of equality to solve the equation. $- 4 a = \frac { 1 } { 7 }$ Enter your answer in fraction form.

Solve the inequality. $- 6 ( s + 4 ) > 36$

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

Use the properties of equality to solve the equation. x $-$ 11 = 18

Solve this equation. $-$ 3( t $-$ 7) = $-$ 2( t $-$ 1)

Solve the inequality. $13 x + 13 > 13 x + 4$ Write your answer as an interval.

Use the properties of equality to solve the equation. 2 u = $-$ 20

Solve the equation. $\frac { b + 1 } { 3 } - \frac { b - 1 } { 9 } = \frac { 2 } { 9 }$