Question 1

Use the properties of equality to solve the equation. $\frac { 3 } { 22 } u = \frac { 1 } { 11 }$

Accepted Answer

A)  $u = \frac { 1 } { 22 }$ 
B)  $u = \frac { 2 } { 11 }$ 
C)  $u = \frac { 1 } { 3 }$ 
D)  $u = \frac { 2 } { 3 }$ 
E)  none of these 
A)  $u = \frac { 1 } { 22 }$ 
B)  $u = \frac { 2 } { 11 }$ 
C)  $u = \frac { 1 } { 3 }$ 
D)  $u = \frac { 2 } { 3 }$ 
E)  none of these

Question 2

For the following problem, solve the inequality. $x + 3 \geq - 29$

Accepted Answer

A)  $( - 32 , \infty )$ 
B)  $( - \infty , - 32 ]$ 
C)  $( - \infty , - 32 )$ 
D)  $[ - 32 , \infty )$ 
E)  none of these 
A)  $( - 32 , \infty )$ 
B)  $( - \infty , - 32 ]$ 
C)  $( - \infty , - 32 )$ 
D)  $[ - 32 , \infty )$ 
E)  none of these

Question 3

If d represents the number of dimes, then the value of the dimes in cents would be represented as 0.10 d .

Accepted Answer

A) True 
 B)False

Question 4

For the following problem, solve the inequality. x + 13 $-$ 20

Accepted Answer

A)  $[ - 33 , \infty )$ 
B)  $( - \infty , - 33 ]$ 
C)  $( - 33 , \infty )$ 
D)  $( - \infty , - 33 )$ 
E)  none of these 
A)  $[ - 33 , \infty )$ 
B)  $( - \infty , - 33 ]$ 
C)  $( - 33 , \infty )$ 
D)  $( - \infty , - 33 )$ 
E)  none of these

Question 5

Solve the equation. $\frac { 5 } { 8 } u + \frac { 1 } { 20 } = - \frac { 23 } { 40 }$

Accepted Answer

A)  u = -1 
B)  u = 0 
C)  u = -4 
D)  u = 4 
A)  u = -1 
B)  u = 0 
C)  u = -4 
D)  u = 4

Question 6

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

Accepted Answer

The answer of Fourteen added to a certain number is...

Question 7

Use the properties of equality to solve the equation. 10 = t $-$ 1

Accepted Answer

A)  t = 9 
B)  t = 11 
C)  t = 6 
D)  t = 21 
E)  none of these 
A)  t = 9 
B)  t = 11 
C)  t = 6 
D)  t = 21 
E)  none of these

Question 8

For the following problem, solve the inequality. -18 x > 144

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 9

Use the properties of equality to solve the equation. t + 0.92 = 0.14

Accepted Answer

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

Question 10

Solve the equation. $6 + 5 t + 3 t = 2 t + 4 t + 8$

Accepted Answer

The answer of Solve the equation. \(6 + 5 t...

Question 11

Solve the problem by setting up and solving an appropriate inequality. Suppose that the perimeter of a rectangle is to be no greater than 60 inches and the length of the rectangle must be 13 inches. Find the largest possible value for the width of the rectangle. __________ inches

Accepted Answer

The answer of Solve the problem by setting up and...

Question 12

Use the properties of equality to solve the equations and match with a correct solution.
-$t = - \frac { 1 } { 21 }$

Accepted Answer

A)  $- 5 t = \frac { 1 } { 10 }$ 
B)  $- 3 t = \frac { 1 } { 7 }$ 
A)  $- 5 t = \frac { 1 } { 10 }$ 
B)  $- 3 t = \frac { 1 } { 7 }$

Question 13

If nine times a certain number is subtracted from 49, the result is 4. Find the number.

Accepted Answer

The answer of If nine times a certain number is...

Question 14

Find the largest of three consecutive whole numbers such that twice the sum of the two smallest numbers is 7 more than three times the largest number.

Accepted Answer

The answer of Find the largest of three consecutive whole...

Question 15

Use the properties of equality to solve the equation. 7.92 = 2.4 t Please express your answer as a decimal.

Accepted Answer

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

Question 16

For the following problem, solve the inequality. $10 x - 64 - 2 x > 40$

Accepted Answer

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

Question 17

Solve this equation. $\frac { 3 } { 4 } v - \frac { 4 } { 3 } = - \frac { 7 } { 12 }$

Accepted Answer

A)  v = 1 
B)  v = 3 
C)  v = -1 
A)  v = 1 
B)  v = 3 
C)  v = -1

Question 18

An algebraic inequality is called an open sentence.

Accepted Answer

A) True 
 B)False

Question 19

For the following problem, solve the inequality. $14 x - 24 \leq 32$

Accepted Answer

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

Question 20

Michael bought 5 pizzas for a total of $32. What was the price per pizza?

Accepted Answer

A)  $13.50 
B)  $6.40 
C)  $3.40 
D)  $7.60 
A)  $13.50 
B)  $6.40 
C)  $3.40 
D)  $7.60

Use the properties of equality to solve the equation. $\frac { 3 } { 22 } u = \frac { 1 } { 11 }$

For the following problem, solve the inequality. $x + 3 \geq - 29$

If d represents the number of dimes, then the value of the dimes in cents would be represented as 0.10 d .

For the following problem, solve the inequality. x + 13 $-$ 20

Solve the equation. $\frac { 5 } { 8 } u + \frac { 1 } { 20 } = - \frac { 23 } { 40 }$

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

Use the properties of equality to solve the equation. 10 = t $-$ 1

For the following problem, solve the inequality. -18 x > 144

Use the properties of equality to solve the equation. t + 0.92 = 0.14

Solve the equation. $6 + 5 t + 3 t = 2 t + 4 t + 8$

Solve the problem by setting up and solving an appropriate inequality. Suppose that the perimeter of a rectangle is to be no greater than 60 inches and the length of the rectangle must be 13 inches. Find the largest possible value for the width of the rectangle. __________ inches

Use the properties of equality to solve the equations and match with a correct solution. - $t = - \frac { 1 } { 21 }$

If nine times a certain number is subtracted from 49, the result is 4. Find the number.

Find the largest of three consecutive whole numbers such that twice the sum of the two smallest numbers is 7 more than three times the largest number.

Use the properties of equality to solve the equation. 7.92 = 2.4 t Please express your answer as a decimal.

For the following problem, solve the inequality. $10 x - 64 - 2 x > 40$

Solve this equation. $\frac { 3 } { 4 } v - \frac { 4 } { 3 } = - \frac { 7 } { 12 }$

An algebraic inequality is called an open sentence.

For the following problem, solve the inequality. $14 x - 24 \leq 32$

Michael bought 5 pizzas for a total of $32. What was the price per pizza?

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

Use the properties of equality to solve the equation. 322u=111\frac { 3 } { 22 } u = \frac { 1 } { 11 }223​u=111​

For the following problem, solve the inequality. x+3≥−29x + 3 \geq - 29x+3≥−29

If d represents the number of dimes, then the value of the dimes in cents would be represented as 0.10 d .

For the following problem, solve the inequality. x + 13 −-− 20

Solve the equation. 58u+120=−2340\frac { 5 } { 8 } u + \frac { 1 } { 20 } = - \frac { 23 } { 40 }85​u+201​=−4023​

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

Use the properties of equality to solve the equation. 10 = t −-− 1

For the following problem, solve the inequality. -18 x > 144

Use the properties of equality to solve the equation. t + 0.92 = 0.14

Solve the equation. 6+5t+3t=2t+4t+86 + 5 t + 3 t = 2 t + 4 t + 86+5t+3t=2t+4t+8

Solve the problem by setting up and solving an appropriate inequality. Suppose that the perimeter of a rectangle is to be no greater than 60 inches and the length of the rectangle must be 13 inches. Find the largest possible value for the width of the rectangle. __________ inches

Use the properties of equality to solve the equations and match with a correct solution. - t=−121t = - \frac { 1 } { 21 }t=−211​

If nine times a certain number is subtracted from 49, the result is 4. Find the number.

Find the largest of three consecutive whole numbers such that twice the sum of the two smallest numbers is 7 more than three times the largest number.

Use the properties of equality to solve the equation. 7.92 = 2.4 t Please express your answer as a decimal.

For the following problem, solve the inequality. 10x−64−2x>4010 x - 64 - 2 x > 4010x−64−2x>40

Solve this equation. 34v−43=−712\frac { 3 } { 4 } v - \frac { 4 } { 3 } = - \frac { 7 } { 12 }43​v−34​=−127​

An algebraic inequality is called an open sentence.

For the following problem, solve the inequality. 14x−24≤3214 x - 24 \leq 3214x−24≤32

Michael bought 5 pizzas for a total of $32. What was the price per pizza?

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

Use the properties of equality to solve the equation. $\frac { 3 } { 22 } u = \frac { 1 } { 11 }$

For the following problem, solve the inequality. $x + 3 \geq - 29$

For the following problem, solve the inequality. x + 13 $-$ 20

Solve the equation. $\frac { 5 } { 8 } u + \frac { 1 } { 20 } = - \frac { 23 } { 40 }$

Use the properties of equality to solve the equation. 10 = t $-$ 1

Solve the equation. $6 + 5 t + 3 t = 2 t + 4 t + 8$

Use the properties of equality to solve the equations and match with a correct solution. - $t = - \frac { 1 } { 21 }$

For the following problem, solve the inequality. $10 x - 64 - 2 x > 40$

Solve this equation. $\frac { 3 } { 4 } v - \frac { 4 } { 3 } = - \frac { 7 } { 12 }$

For the following problem, solve the inequality. $14 x - 24 \leq 32$