Question 1

Solve using the multiplication principle.
-$$\frac { 9 } { 10 } x = 27$$

Accepted Answer

A)  $\frac { 243 } { 10 }$ 
B)  $\frac { 279 } { 10 }$ 
C)  $\frac { 261 } { 10 }$ 
D)  30 
A)  $\frac { 243 } { 10 }$ 
B)  $\frac { 279 } { 10 }$ 
C)  $\frac { 261 } { 10 }$ 
D)  30

Question 2

Solve.
-$$9 - 6 ( x + 3 ) = 10 - 7 ( x + 2 )$$

Accepted Answer

A)  9 
B)  16 
C)  23 
D)  5 
A)  9 
B)  16 
C)  23 
D)  5

Question 3

Solve the equation using the addition principle.
-$$- 7 + b = 11$$

Accepted Answer

A)  $- 18$ 
B)  4 
C)  $- 4$ 
D)  18 
A)  $- 18$ 
B)  4 
C)  $- 4$ 
D)  18

Question 4

Solve the equation using the addition principle.
-$$- 20 = b - 2$$

Accepted Answer

A)  18 
B)  $- 22$ 
C)  22 
D)  $- 18$ 
A)  18 
B)  $- 22$ 
C)  22 
D)  $- 18$

Question 5

Decide if the given number is a solution to the given equation.
-$$9 p + 3 p - 4 = 32 ; \quad 3$$

Accepted Answer

A) True 
 B)False

Question 6

Solve using the multiplication principle.
-$$- 7 a = 35$$

Accepted Answer

A)  $- 5$ 
B)  $- 42$ 
C)  42 
D)  1 
A)  $- 5$ 
B)  $- 42$ 
C)  42 
D)  1

Question 7

Solve using the multiplication principle.
-$18.3 \mathrm { t } = - 91.5$

Accepted Answer

A)  $- 5$ 
B)  $- 73.2$ 
C)  $- 86.5$ 
D)  $- \frac { 1 } { 5 }$ 
A)  $- 5$ 
B)  $- 73.2$ 
C)  $- 86.5$ 
D)  $- \frac { 1 } { 5 }$

Question 8

Solve using the multiplication principle.
-$$- \frac { 4 } { 21 } y = - \frac { 24 } { 35 }$$

Accepted Answer

A)  $\frac { 18 } { 5 }$ 
B)  $\frac { 45 } { 8 }$ 
C)  $\frac { 9 } { 10 }$ 
D)  $\frac { 8 } { 45 }$ 
A)  $\frac { 18 } { 5 }$ 
B)  $\frac { 45 } { 8 }$ 
C)  $\frac { 9 } { 10 }$ 
D)  $\frac { 8 } { 45 }$

Question 9

Solve.
-$$4.6 x + 13.8 x = 257.6$$

Accepted Answer

A)  16 
B)  15 
C)  14 
D)  13 
A)  16 
B)  15 
C)  14 
D)  13

Question 10

Solve using the multiplication principle.
-$3.1 \mathrm { t } = - 27.9$

Accepted Answer

A)  $- \frac { 1 } { 9 }$ 
B)  $- 9$ 
C)  $- 24.8$ 
D)  $- 18.9$ 
A)  $- \frac { 1 } { 9 }$ 
B)  $- 9$ 
C)  $- 24.8$ 
D)  $- 18.9$

Question 11

Solve using the multiplication principle.
-$$\frac { 8 } { 21 } x = - \frac { 8 } { 5 }$$

Accepted Answer

A)  $- \frac { 7 } { 15 }$ 
B)  $- \frac { 12 } { 35 }$ 
C)  $- \frac { 35 } { 12 }$ 
D)  $- \frac { 21 } { 5 }$ 
A)  $- \frac { 7 } { 15 }$ 
B)  $- \frac { 12 } { 35 }$ 
C)  $- \frac { 35 } { 12 }$ 
D)  $- \frac { 21 } { 5 }$

Question 12

Decide if the given number is a solution to the given equation.
-$$2 x = 16 ; 6$$

Accepted Answer

A) True 
 B)False

Question 13

Solve.
-$$- 12 + x = x - 12$$

Accepted Answer

A)  0 
B)  All real numbers 
C)  No solution 
D)  24 
A)  0 
B)  All real numbers 
C)  No solution 
D)  24

Question 14

Solve using the multiplication principle.
-$$\frac { 1 } { 4 } \mathrm { x } = 15$$

Accepted Answer

A)  56 
B)  45 
C)  19 
D)  60 
A)  56 
B)  45 
C)  19 
D)  60

Question 15

Solve the equation using the addition principle.
-$$h - \frac { 1 } { 3 } = \frac { 7 } { 9 }$$

Accepted Answer

A)  4 
B)  $\frac { 4 } { 9 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 10 } { 9 }$ 
A)  4 
B)  $\frac { 4 } { 9 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 10 } { 9 }$

Question 16

Solve.
-$$- 8 b + 1 + 6 b = - 3 b + 6$$

Accepted Answer

A)  5 
B)  $- 6$ 
C)  $- 1$ 
D)  6 
A)  5 
B)  $- 6$ 
C)  $- 1$ 
D)  6

Question 17

Solve.
-$$0.4 ( 5 x + 15 ) = 2.7 - ( x + 3 )$$

Accepted Answer

A)  11 
B)  $\frac { 11 } { 30 }$ 
C)  $- \frac { 21 } { 10 }$ 
D)  $- \frac { 40 } { 7 }$ 
A)  11 
B)  $\frac { 11 } { 30 }$ 
C)  $- \frac { 21 } { 10 }$ 
D)  $- \frac { 40 } { 7 }$

Question 18

Solve.
-$$10 = 6 x - 2$$

Accepted Answer

A)  6 
B)  2 
C)  10 
D)  3 
A)  6 
B)  2 
C)  10 
D)  3

Question 19

Solve the equation using the addition principle.
-$$h + \frac { 1 } { 2 } = \frac { 3 } { 4 }$$

Accepted Answer

A)  3 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 5 } { 4 }$ 
A)  3 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 5 } { 4 }$

Question 20

Solve.
-$$7 r + 8 = 64$$

Accepted Answer

A)  8 
B)  49 
C)  1 
D)  53 
A)  8 
B)  49 
C)  1 
D)  53

Solve using the multiplication principle. - $\frac { 9 } { 10 } x = 27$

Solve. - $9 - 6 ( x + 3 ) = 10 - 7 ( x + 2 )$

Solve the equation using the addition principle. - $- 7 + b = 11$

Solve the equation using the addition principle. - $- 20 = b - 2$

Decide if the given number is a solution to the given equation. - $9 p + 3 p - 4 = 32 ; \quad 3$

Solve using the multiplication principle. - $- 7 a = 35$

Solve using the multiplication principle. - $18.3 \mathrm { t } = - 91.5$

Solve using the multiplication principle. - $- \frac { 4 } { 21 } y = - \frac { 24 } { 35 }$

Solve. - $4.6 x + 13.8 x = 257.6$

Solve using the multiplication principle. - $3.1 \mathrm { t } = - 27.9$

Solve using the multiplication principle. - $\frac { 8 } { 21 } x = - \frac { 8 } { 5 }$

Decide if the given number is a solution to the given equation. - $2 x = 16 ; 6$

Solve. - $- 12 + x = x - 12$

Solve using the multiplication principle. - $\frac { 1 } { 4 } \mathrm { x } = 15$

Solve the equation using the addition principle. - $h - \frac { 1 } { 3 } = \frac { 7 } { 9 }$

Solve. - $- 8 b + 1 + 6 b = - 3 b + 6$

Solve. - $0.4 ( 5 x + 15 ) = 2.7 - ( x + 3 )$

Solve. - $10 = 6 x - 2$

Solve the equation using the addition principle. - $h + \frac { 1 } { 2 } = \frac { 3 } { 4 }$

Solve. - $7 r + 8 = 64$

Introduction to Real Numbers and Algebraic Expressions

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Finding Measures of Central Tendency for Prices and Heights

Filters

Exam 2: Solving Equations and Inequalities

Solve using the multiplication principle. - 910x=27\frac { 9 } { 10 } x = 27109​x=27

Solve. - 9−6(x+3)=10−7(x+2)9 - 6 ( x + 3 ) = 10 - 7 ( x + 2 )9−6(x+3)=10−7(x+2)

Solve the equation using the addition principle. - −7+b=11- 7 + b = 11−7+b=11

Solve the equation using the addition principle. - −20=b−2- 20 = b - 2−20=b−2

Decide if the given number is a solution to the given equation. - 9p+3p−4=32;39 p + 3 p - 4 = 32 ; \quad 39p+3p−4=32;3

Solve using the multiplication principle. - −7a=35- 7 a = 35−7a=35

Solve using the multiplication principle. - 18.3t=−91.518.3 \mathrm { t } = - 91.518.3t=−91.5

Solve using the multiplication principle. - −421y=−2435- \frac { 4 } { 21 } y = - \frac { 24 } { 35 }−214​y=−3524​

Solve. - 4.6x+13.8x=257.64.6 x + 13.8 x = 257.64.6x+13.8x=257.6

Solve using the multiplication principle. - 3.1t=−27.93.1 \mathrm { t } = - 27.93.1t=−27.9

Solve using the multiplication principle. - 821x=−85\frac { 8 } { 21 } x = - \frac { 8 } { 5 }218​x=−58​

Decide if the given number is a solution to the given equation. - 2x=16;62 x = 16 ; 62x=16;6

Solve. - −12+x=x−12- 12 + x = x - 12−12+x=x−12

Solve using the multiplication principle. - 14x=15\frac { 1 } { 4 } \mathrm { x } = 1541​x=15

Solve the equation using the addition principle. - h−13=79h - \frac { 1 } { 3 } = \frac { 7 } { 9 }h−31​=97​

Solve. - −8b+1+6b=−3b+6- 8 b + 1 + 6 b = - 3 b + 6−8b+1+6b=−3b+6

Solve. - 0.4(5x+15)=2.7−(x+3)0.4 ( 5 x + 15 ) = 2.7 - ( x + 3 )0.4(5x+15)=2.7−(x+3)

Solve. - 10=6x−210 = 6 x - 210=6x−2

Solve the equation using the addition principle. - h+12=34h + \frac { 1 } { 2 } = \frac { 3 } { 4 }h+21​=43​

Solve. - 7r+8=647 r + 8 = 647r+8=64