Question 1

Solve using the addition and multiplication principles.
-$15 x-24>3(4 x-11)$

Accepted Answer

A) $\{x \mid x \leq-3\}$ B) $\{x \mid x>-3\}$ C) $\{x \mid x<-3\}$ D) $\{x \mid x \geq-3\}$ A) $\{x \mid x \leq-3\}$ B) $\{x \mid x>-3\}$ C) $\{x \mid x<-3\}$ D) $\{x \mid x \geq-3\}$

Question 2

Solve the problem.
-In order for a chemical reaction to remain stable, its Celsius temperature must be no more than 86. $7^{\circ} \mathrm{C}$. Find the Fahrenheit temperatures at which the reaction will remain stable. $\left(\mathrm{F}=\frac{9}{5} \mathrm{C}+32\right)$

Accepted Answer

A)  $\mathrm{F} \leq 188.06^{\circ}$ 
B)  $\mathrm{F} \geq 30.39^{\circ}$ 
C)  $\mathrm{F} \leq 30.39^{\circ}$ 
D)  $\mathrm{F} \geq 188.06^{\circ}$ 
A)  $\mathrm{F} \leq 188.06^{\circ}$ 
B)  $\mathrm{F} \geq 30.39^{\circ}$ 
C)  $\mathrm{F} \leq 30.39^{\circ}$ 
D)  $\mathrm{F} \geq 188.06^{\circ}$

Question 3

Solve.
-$-11+\mathrm{x}=\mathrm{x}-11$

Accepted Answer

A)  22 
B)  0 
C)  No solution 
D)  All real numbers 
A)  22 
B)  0 
C)  No solution 
D)  All real numbers

Question 4

Solve.
-$2.1(x+4.9)-4.1=3(x+4)-5$

Accepted Answer

A)  13.1 
B)  10.1 
C)  -0.9 
D)  7.1 
A)  13.1 
B)  10.1 
C)  -0.9 
D)  7.1

Question 5

Solve the equation using the addition principle.
-$\mathrm{m}-\frac{2}{9}=\frac{2}{3}$

Accepted Answer

A)  $\frac{8}{9}$ 
B)  $\frac{4}{9}$ 
C)  $\frac{5}{9}$ 
D)  4 
A)  $\frac{8}{9}$ 
B)  $\frac{4}{9}$ 
C)  $\frac{5}{9}$ 
D)  4

Question 6

Solve using the multiplication principle.
-$-6 s=-108$

Accepted Answer

A)  102 
B)  -102 
C)  2 
D)  18 
A)  102 
B)  -102 
C)  2 
D)  18

Question 7

Provide an appropriate response.
-Write the steps you would use to solve this equation: $6(x-1)+7 x=-3 x$.

Accepted Answer

To solve the equation 6(x-1) + 7x = -3x,

Question 8

Solve the equation using the addition principle.
-a $-7=1$

Accepted Answer

A)  6 
B)  8 
C)  -6 
D)  -8 
A)  6 
B)  8 
C)  -6 
D)  -8

Question 9

Solve using the addition and multiplication principles.
-$\frac{x}{2}+14 \leq 10$

Accepted Answer

A)  $\{x \mid x<-6\}$ 
B)  $\{x \mid x \leq 6\}$ 
C)  $\{x \mid x \leq-8\}$ 
D)  $\{x \mid x \geq-8\}$ 
A)  $\{x \mid x<-6\}$ 
B)  $\{x \mid x \leq 6\}$ 
C)  $\{x \mid x \leq-8\}$ 
D)  $\{x \mid x \geq-8\}$

Question 10

Solve the equation using the addition principle.
-$-5+\mathrm{x}=13$

Accepted Answer

A)  -18 
B)  8 
C)  -8 
D)  18 
A)  -18 
B)  8 
C)  -8 
D)  18

Question 11

Solve.
-$F=\frac{9}{5} C+32$ for $C$

Accepted Answer

A)  $C=\frac{9}{5}(F-32)$ 
B)  $C=\frac{5}{F-32}$ 
C)  $C=\frac{F-32}{9}$ 
D)  $C=\frac{5}{9}(F-32)$ 
A)  $C=\frac{9}{5}(F-32)$ 
B)  $C=\frac{5}{F-32}$ 
C)  $C=\frac{F-32}{9}$ 
D)  $C=\frac{5}{9}(F-32)$

Question 12

Solve.
-$8 x+8=-56$

Accepted Answer

A)  -72 
B)  -7 
C)  -6 
D)  -8 
A)  -72 
B)  -7 
C)  -6 
D)  -8

Question 13

Graph the inequality.
-

Accepted Answer

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

Question 14

Solve the problem.
-Find the measure of each angle in the triangle.

Accepted Answer

A)  $46^{\circ}, 19^{\circ}, 25^{\circ}$ 
B)  $64^{\circ}, 80^{\circ}, 16^{\circ}$ 
C)  $46^{\circ}, 109^{\circ}, 25^{\circ}$ 
D)  $44^{\circ}, 109^{\circ}, 25^{\circ}$ 
A)  $46^{\circ}, 19^{\circ}, 25^{\circ}$ 
B)  $64^{\circ}, 80^{\circ}, 16^{\circ}$ 
C)  $46^{\circ}, 109^{\circ}, 25^{\circ}$ 
D)  $44^{\circ}, 109^{\circ}, 25^{\circ}$

Question 15

Determine whether the given number is a solution of the inequality.
-$x>-12,-7.34$

Accepted Answer

A) True 
 B)False

Question 16

Solve the problem.
-The sum of three consecutive integers is 438 . Find the integers.

Accepted Answer

A)  $146,147,148$ 
B)  $144,145,146$ 
C)  $145,146,147$ 
D)  $144,146,148$ 
A)  $146,147,148$ 
B)  $144,145,146$ 
C)  $145,146,147$ 
D)  $144,146,148$

Question 17

Solve.
-Greg sold his used electric saw and accessories for $\$ 580$. If he received nine times as much money for the electric saw as he did for the accessories, how much did he receive for the electric saw?

Accepted Answer

A)  $\$ 58$ 
B)  $\$ 522$ 
C)  $\$ 68$ 
D)  $\$ 5220$ 
A)  $\$ 58$ 
B)  $\$ 522$ 
C)  $\$ 68$ 
D)  $\$ 5220$

Question 18

Solve using the addition and multiplication principles.
-$10 x+8 \leq 9 x-1$

Accepted Answer

A)  $\{x \mid x \geq-9\}$ 
B)  $\{x \mid x10\}$ 
A)  $\{x \mid x \geq-9\}$ 
B)  $\{x \mid x10\}$

Question 19

Solve using the multiplication principle.
-$\frac{1}{2} b=-2.75$

Accepted Answer

A)  -1.75 
B)  -1.00 
C)  -0.75 
D)  -5.50 
A)  -1.75 
B)  -1.00 
C)  -0.75 
D)  -5.50

Question 20

Solve the problem. Round to the nearest hundredth, if necessary.
-What number is $8.8 \%$ of 17 ?

Accepted Answer

A)  0.15 
B)  1.5 
C)  15 
D)  150 
A)  0.15 
B)  1.5 
C)  15 
D)  150

Solve using the addition and multiplication principles. - $15 x-24>3(4 x-11)$

Solve the problem. -In order for a chemical reaction to remain stable, its Celsius temperature must be no more than 86. $7^{\circ} \mathrm{C}$ . Find the Fahrenheit temperatures at which the reaction will remain stable. $\left(\mathrm{F}=\frac{9}{5} \mathrm{C}+32\right)$

Solve. - $-11+\mathrm{x}=\mathrm{x}-11$

Solve. - $2.1(x+4.9)-4.1=3(x+4)-5$

Solve the equation using the addition principle. - $\mathrm{m}-\frac{2}{9}=\frac{2}{3}$

Solve using the multiplication principle. - $-6 s=-108$

Provide an appropriate response. -Write the steps you would use to solve this equation: $6(x-1)+7 x=-3 x$ .

Solve the equation using the addition principle. -a $-7=1$

Solve using the addition and multiplication principles. - $\frac{x}{2}+14 \leq 10$

Solve the equation using the addition principle. - $-5+\mathrm{x}=13$

Solve. - $F=\frac{9}{5} C+32$ for $C$

Solve. - $8 x+8=-56$

Graph the inequality. -

Solve the problem. -Find the measure of each angle in the triangle.

Determine whether the given number is a solution of the inequality. - $x>-12,-7.34$

Solve the problem. -The sum of three consecutive integers is 438 . Find the integers.

Solve. -Greg sold his used electric saw and accessories for $\$ 580$ . If he received nine times as much money for the electric saw as he did for the accessories, how much did he receive for the electric saw?

Solve using the addition and multiplication principles. - $10 x+8 \leq 9 x-1$

Solve using the multiplication principle. - $\frac{1}{2} b=-2.75$

Solve the problem. Round to the nearest hundredth, if necessary. -What number is $8.8 \%$ of 17 ?

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 8: Solving Equations and Inequalities

Solve using the addition and multiplication principles. - 15x−24>3(4x−11)15 x-24>3(4 x-11)15x−24>3(4x−11)

Solve. - −11+x=x−11-11+\mathrm{x}=\mathrm{x}-11−11+x=x−11

Solve. - 2.1(x+4.9)−4.1=3(x+4)−52.1(x+4.9)-4.1=3(x+4)-52.1(x+4.9)−4.1=3(x+4)−5

Solve the equation using the addition principle. - m−29=23\mathrm{m}-\frac{2}{9}=\frac{2}{3}m−92​=32​

Solve using the multiplication principle. - −6s=−108-6 s=-108−6s=−108

Provide an appropriate response. -Write the steps you would use to solve this equation: 6(x−1)+7x=−3x6(x-1)+7 x=-3 x6(x−1)+7x=−3x .

Solve the equation using the addition principle. -a −7=1-7=1−7=1

Solve using the addition and multiplication principles. - x2+14≤10\frac{x}{2}+14 \leq 102x​+14≤10

Solve the equation using the addition principle. - −5+x=13-5+\mathrm{x}=13−5+x=13

Solve. - F=95C+32F=\frac{9}{5} C+32F=59​C+32 for CCC

Solve. - 8x+8=−568 x+8=-568x+8=−56