Question 1

Use the properties of equality to solve the equation. u $-$ 0.11 = $-$ 0.77

Accepted Answer

A)  u = -0.61 
B)  u = -0.66 
C)  u = -0.56 
D)  u = -0.71 
E)  none of these 
A)  u = -0.61 
B)  u = -0.66 
C)  u = -0.56 
D)  u = -0.71 
E)  none of these

Question 2

Solve the equation. 4( r $-$ 4) + 3( r $-$ 1) = $-$ 3( r $-$ 1) + 11( r + 2)

Accepted Answer

A)  r = -48 
B)  r = -43 
C)  r = -49 
D)  r = -34 
E)  r = -44 
A)  r = -48 
B)  r = -43 
C)  r = -49 
D)  r = -34 
E)  r = -44

Question 3

Sometimes more than one equation is used to solve a word problem.

Accepted Answer

A) True 
 B)False

Question 4

Last week on an algebra test, the highest grade was 20 points less than 4 times the lowest grade. The sum of the two grades was 90. Find the lowest and highest grades on the test.

Accepted Answer

A)  68, 22 
B)  158, 22 
C)  68, 42 
D)  68, 26 
A)  68, 22 
B)  158, 22 
C)  68, 42 
D)  68, 26

Question 5

If two angles are supplementary and the larger angle is 60 $^ { \circ }$ smaller than 2 times the smaller angle, find the measure of each angle.

Accepted Answer

A)  63 $^ { \circ }$ , 117 $^ { \circ }$ 
B)  105 $^ { \circ }$ , 75 $^ { \circ }$ 
C)  100 $^ { \circ }$ , 80 $^ { \circ }$ 
D)  110 $^ { \circ }$ , 70 $^ { \circ }$ 
A)  63 $^ { \circ }$ , 117 $^ { \circ }$ 
B)  105 $^ { \circ }$ , 75 $^ { \circ }$ 
C)  100 $^ { \circ }$ , 80 $^ { \circ }$ 
D)  110 $^ { \circ }$ , 70 $^ { \circ }$

Question 6

Solve the equation. $6 ( t + 5 ) = 3 ( 2 t + 10 )$

Accepted Answer

A)  $t = 2$ 
B)  $t = 7$ 
C)  $t = 6$ 
D)  all reals 
E)  no solution 
A)  $t = 2$ 
B)  $t = 7$ 
C)  $t = 6$ 
D)  all reals 
E)  no solution

Question 7

Solve the equation. $\frac { z + 1 } { 15 } = \frac { z - 4 } { 18 } + 1$

Accepted Answer

The answer of Solve the equation. \(\frac { z +...

Question 8

Use the properties of equality to solve the equation. $x - \frac { 2 } { 7 } = \frac { 2 } { 3 }$

Accepted Answer

A)  $x = 1 \frac { 1 } { 20 }$ 
B)  $x = \frac { 20 } { 21 }$ 
C)  $x = \frac { 2 } { 7 }$ 
D)  $x = \frac { 1 } { 21 }$ 
E)  none of these 
A)  $x = 1 \frac { 1 } { 20 }$ 
B)  $x = \frac { 20 } { 21 }$ 
C)  $x = \frac { 2 } { 7 }$ 
D)  $x = \frac { 1 } { 21 }$ 
E)  none of these

Question 9

Match each compound inequality with its solution.
-$x \geq 2 \text { and } x \geq 9$

Accepted Answer

A)    
B)    
A)    
B)

Question 10

Solve the equation. 24 = $-$ 3 $-$ 13 b

Accepted Answer

A)  $b = - \frac { 27 } { 13 }$ 
B)  $b = - \frac { 21 } { 13 }$ 
C)  $b = \frac { 27 } { 13 }$ 
D)  $b = \frac { 21 } { 13 }$ 
A)  $b = - \frac { 27 } { 13 }$ 
B)  $b = - \frac { 21 } { 13 }$ 
C)  $b = \frac { 27 } { 13 }$ 
D)  $b = \frac { 21 } { 13 }$

Question 11

Solve the inequality. $20 x + 6 > 20 x + 14$

Accepted Answer

A)  $( - 20 , \infty )$ 
B)  $\phi$ 
C)  $( - \infty , \infty )$ 
D)  $( 20 , \infty )$ 
E)  none of these 
A)  $( - 20 , \infty )$ 
B)  $\phi$ 
C)  $( - \infty , \infty )$ 
D)  $( 20 , \infty )$ 
E)  none of these

Question 12

Use the properties of equality to solve the equation. $\frac { 5 } { 11 } m = 40$

Accepted Answer

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

Question 13

Tracy received a cell phone bill for $132.24. Included in the $132.24 was a charge of $39.99 for the monthly plan and a charge for 205 extra minutes. How much is Tracy being charged for each extra minute? $__________

Accepted Answer

The answer of Tracy received a cell phone bill for...

Question 14

Use the properties of equality to solve the equation. $-$ 1 = u + 9

Accepted Answer

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

Question 15

At a local restaurant, $245 in tips is to be shared between the server, bartender, and busboy. The server gets $20 more than three times the amount the busboy receives. The bartender gets $50 more than the amount the busboy receives. How much will the server receive? $__________

Accepted Answer

The answer of At a local restaurant, $245 in tips...

Question 16

An executive is earning $150,000 per year. This is $14,000 less than twice her salary 7 years ago. Find her salary 7 years ago.

Accepted Answer

A)  $86,000 
B)  $77,000 
C)  $84,000 
D)  $82,000 
A)  $86,000 
B)  $77,000 
C)  $84,000 
D)  $82,000

Question 17

The equation $5 y + 1 = 5 y - 1$ has infinitely many solutions.

Accepted Answer

A) True 
 B)False

Question 18

A bill from the limousine company was $450. This included $100 for the service and $100 for each hour of use. Find the number of hours that the limousine was used.

Accepted Answer

A)  4 hours 
B)  3.5 hours 
C)  7.5 hours 
D)  8 hours 
E)  4.5 hours 
A)  4 hours 
B)  3.5 hours 
C)  7.5 hours 
D)  8 hours 
E)  4.5 hours

Question 19

Match these equations and their solutions.
-$x = 8$

Accepted Answer

A)  $5 ( x - 3 ) - 9 ( x - 3 ) = - 20$ 
B)  $8 ( x - 9 ) - 9 ( x - 6 ) = - 24$ 
C)  $9 ( x - 8 ) - 8 ( x - 7 ) = - 11$ 
A)  $5 ( x - 3 ) - 9 ( x - 3 ) = - 20$ 
B)  $8 ( x - 9 ) - 9 ( x - 6 ) = - 24$ 
C)  $9 ( x - 8 ) - 8 ( x - 7 ) = - 11$

Question 20

For the following problem state the solution set. x > 1

Accepted Answer

A)  $( - \infty , 1 ]$ 
B)  $[ 1 , \infty )$ 
C)  $( 1 , \infty )$ 
D)  $( - \infty , 1 )$ 
E)  none of these 
A)  $( - \infty , 1 ]$ 
B)  $[ 1 , \infty )$ 
C)  $( 1 , \infty )$ 
D)  $( - \infty , 1 )$ 
E)  none of these

Use the properties of equality to solve the equation. u $-$ 0.11 = $-$ 0.77

Solve the equation. 4( r $-$ 4) + 3( r $-$ 1) = $-$ 3( r $-$ 1) + 11( r + 2)

Sometimes more than one equation is used to solve a word problem.

Last week on an algebra test, the highest grade was 20 points less than 4 times the lowest grade. The sum of the two grades was 90. Find the lowest and highest grades on the test.

If two angles are supplementary and the larger angle is 60 $^ { \circ }$ smaller than 2 times the smaller angle, find the measure of each angle.

Solve the equation. $6 ( t + 5 ) = 3 ( 2 t + 10 )$

Solve the equation. $\frac { z + 1 } { 15 } = \frac { z - 4 } { 18 } + 1$

Use the properties of equality to solve the equation. $x - \frac { 2 } { 7 } = \frac { 2 } { 3 }$

Match each compound inequality with its solution. - $x \geq 2 \text { and } x \geq 9$

Solve the equation. 24 = $-$ 3 $-$ 13 b

Solve the inequality. $20 x + 6 > 20 x + 14$

Use the properties of equality to solve the equation. $\frac { 5 } { 11 } m = 40$

Tracy received a cell phone bill for $132.24. Included in the $132.24 was a charge of $39.99 for the monthly plan and a charge for 205 extra minutes. How much is Tracy being charged for each extra minute? $__________

Use the properties of equality to solve the equation. $-$ 1 = u + 9

At a local restaurant, $245 in tips is to be shared between the server, bartender, and busboy. The server gets $20 more than three times the amount the busboy receives. The bartender gets $50 more than the amount the busboy receives. How much will the server receive? $__________

An executive is earning $150,000 per year. This is $14,000 less than twice her salary 7 years ago. Find her salary 7 years ago.

The equation $5 y + 1 = 5 y - 1$ has infinitely many solutions.

A bill from the limousine company was $450. This included $100 for the service and $100 for each hour of use. Find the number of hours that the limousine was used.

Match these equations and their solutions. - $x = 8$

For the following problem state the solution set. x > 1

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. u −-− 0.11 = −-− 0.77

Solve the equation. 4( r −-− 4) + 3( r −-− 1) = −-− 3( r −-− 1) + 11( r + 2)

Sometimes more than one equation is used to solve a word problem.

Last week on an algebra test, the highest grade was 20 points less than 4 times the lowest grade. The sum of the two grades was 90. Find the lowest and highest grades on the test.

If two angles are supplementary and the larger angle is 60 ∘^ { \circ }∘ smaller than 2 times the smaller angle, find the measure of each angle.

Solve the equation. 6(t+5)=3(2t+10)6 ( t + 5 ) = 3 ( 2 t + 10 )6(t+5)=3(2t+10)

Solve the equation. z+115=z−418+1\frac { z + 1 } { 15 } = \frac { z - 4 } { 18 } + 115z+1​=18z−4​+1

Use the properties of equality to solve the equation. x−27=23x - \frac { 2 } { 7 } = \frac { 2 } { 3 }x−72​=32​

Match each compound inequality with its solution. - x≥2 and x≥9x \geq 2 \text { and } x \geq 9x≥2 and x≥9

Solve the equation. 24 = −-− 3 −-− 13 b

Solve the inequality. 20x+6>20x+1420 x + 6 > 20 x + 1420x+6>20x+14

Use the properties of equality to solve the equation. 511m=40\frac { 5 } { 11 } m = 40115​m=40

Tracy received a cell phone bill for $132.24. Included in the $132.24 was a charge of $39.99 for the monthly plan and a charge for 205 extra minutes. How much is Tracy being charged for each extra minute? $__________

Use the properties of equality to solve the equation. −-− 1 = u + 9

At a local restaurant, $245 in tips is to be shared between the server, bartender, and busboy. The server gets $20 more than three times the amount the busboy receives. The bartender gets $50 more than the amount the busboy receives. How much will the server receive? $__________

An executive is earning $150,000 per year. This is $14,000 less than twice her salary 7 years ago. Find her salary 7 years ago.

The equation 5y+1=5y−15 y + 1 = 5 y - 15y+1=5y−1 has infinitely many solutions.

A bill from the limousine company was $450. This included $100 for the service and $100 for each hour of use. Find the number of hours that the limousine was used.

Match these equations and their solutions. - x=8x = 8x=8

For the following problem state the solution set. x > 1

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. u $-$ 0.11 = $-$ 0.77

Solve the equation. 4( r $-$ 4) + 3( r $-$ 1) = $-$ 3( r $-$ 1) + 11( r + 2)

If two angles are supplementary and the larger angle is 60 $^ { \circ }$ smaller than 2 times the smaller angle, find the measure of each angle.

Solve the equation. $6 ( t + 5 ) = 3 ( 2 t + 10 )$

Solve the equation. $\frac { z + 1 } { 15 } = \frac { z - 4 } { 18 } + 1$

Use the properties of equality to solve the equation. $x - \frac { 2 } { 7 } = \frac { 2 } { 3 }$

Match each compound inequality with its solution. - $x \geq 2 \text { and } x \geq 9$

Solve the equation. 24 = $-$ 3 $-$ 13 b

Solve the inequality. $20 x + 6 > 20 x + 14$

Use the properties of equality to solve the equation. $\frac { 5 } { 11 } m = 40$

Use the properties of equality to solve the equation. $-$ 1 = u + 9

The equation $5 y + 1 = 5 y - 1$ has infinitely many solutions.

Match these equations and their solutions. - $x = 8$