Question 1

Solve using the multiplication principle.
-$$\frac { 4 } { 7 } y = - \frac { 4 } { 5 }$$

Accepted Answer

A)  $- \frac { 7 } { 5 }$ 
B)  $\frac { 28 } { 5 }$ 
C)  $- \frac { 5 } { 7 }$ 
D)  $\frac { 7 } { 5 }$ 
A)  $- \frac { 7 } { 5 }$ 
B)  $\frac { 28 } { 5 }$ 
C)  $- \frac { 5 } { 7 }$ 
D)  $\frac { 7 } { 5 }$

Question 2

Solve.
-$$9 x + 2 x = 22$$

Accepted Answer

A)  2 
B)  $\frac { 11 } { 9 }$ 
C)  $\frac { 22 } { 0 }$ 
D)  11 
A)  2 
B)  $\frac { 11 } { 9 }$ 
C)  $\frac { 22 } { 0 }$ 
D)  11

Question 3

Solve the equation using the addition principle.
-$$x - \frac { 15 } { 23 } = - \frac { 3 } { 23 }$$

Accepted Answer

A)  $- \frac { 12 } { 23 }$ 
B)  $- \frac { 18 } { 23 }$ 
C)  $\frac { 18 } { 23 }$ 
D)  $\frac { 12 } { 23 }$ 
A)  $- \frac { 12 } { 23 }$ 
B)  $- \frac { 18 } { 23 }$ 
C)  $\frac { 18 } { 23 }$ 
D)  $\frac { 12 } { 23 }$

Question 4

Solve. Clear fractions first.
-$$\frac { 3 } { 4 } x - \frac { 1 } { 3 } x = \frac { 5 } { 9 } x + 1$$

Accepted Answer

A)  $- \frac { 1 } { 5 }$ 
B)  $\frac { 3 } { 2 }$ 
C)  $\frac { 36 } { 35 }$ 
D)  $-\frac { 36 } { 5 }$ 
A)  $- \frac { 1 } { 5 }$ 
B)  $\frac { 3 } { 2 }$ 
C)  $\frac { 36 } { 35 }$ 
D)  $-\frac { 36 } { 5 }$

Question 5

Solve. Clear fractions first.
-$$\frac { 3 } { 5 } + 4 y = 3 y - \frac { 4 } { 15 }$$

Accepted Answer

A)  $\frac { 13 } { 105 }$ 
B)  $- \frac { 7 } { 15 }$ 
C)  $- \frac { 1 } { 3 }$ 
D)  $- \frac { 13 } { 15 }$ 
A)  $\frac { 13 } { 105 }$ 
B)  $- \frac { 7 } { 15 }$ 
C)  $- \frac { 1 } { 3 }$ 
D)  $- \frac { 13 } { 15 }$

Question 6

Solve.
-$- 6 a + 3 + 7 a = 5 - 28$

Accepted Answer

A)  $- 36$ 
B)  36 
C)  26 
D)  $- 26$ 
A)  $- 36$ 
B)  36 
C)  26 
D)  $- 26$

Question 7

Solve.
-$$( y - 9 ) - ( y + 8 ) = 4 y$$

Accepted Answer

A)  $- \frac { 17 } { 2 }$ 
B)  $- \frac { 17 } { 4 }$ 
C)  $- \frac { 1 } { 4 }$ 
D)  $- \frac { 1 } { 2 }$ 
A)  $- \frac { 17 } { 2 }$ 
B)  $- \frac { 17 } { 4 }$ 
C)  $- \frac { 1 } { 4 }$ 
D)  $- \frac { 1 } { 2 }$

Question 8

Solve using the multiplication principle.
-$$- \frac { 1 } { 2 } \mathrm { k } = - 10$$

Accepted Answer

A)  20 
B)  4 
C)  $- 2$ 
D)  5 
A)  20 
B)  4 
C)  $- 2$ 
D)  5

Question 9

Solve.
-$$5 ( 7 x - 1 ) = 20$$

Accepted Answer

A)  $\frac { 5 } { 7 }$ 
B)  $\frac { 19 } { 35 }$ 
C)  $\frac { 3 } { 7 }$ 
D)  $\frac { 3 } { 5 }$ 
A)  $\frac { 5 } { 7 }$ 
B)  $\frac { 19 } { 35 }$ 
C)  $\frac { 3 } { 7 }$ 
D)  $\frac { 3 } { 5 }$

Question 10

Solve. Clear fractions first.
-$$\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 3$$

Accepted Answer

A)  $- 45$ 
B)  45 
C)  90 
D)  $- 90$ 
A)  $- 45$ 
B)  45 
C)  90 
D)  $- 90$

Question 11

Solve.
-$$9 x - 3 + 3 x = 6 x + 77 - 4 x$$

Accepted Answer

A)  8 
B)  10 
C)  7 
D)  9 
A)  8 
B)  10 
C)  7 
D)  9

Question 12

Solve.
-$$- 3 x - 7 x = - 60$$

Accepted Answer

A)  $- 6$ 
B)  7 
C)  6 
D)  $- 50$ 
A)  $- 6$ 
B)  7 
C)  6 
D)  $- 50$

Question 13

Solve.
-$$- 9 n - 3 = 78$$

Accepted Answer

A)  $- 72$ 
B)  $- 9$ 
C)  9 
D)  76 
A)  $- 72$ 
B)  $- 9$ 
C)  9 
D)  76

Question 14

Solve using the multiplication principle.
-$$- 4 s = - 68$$

Accepted Answer

A)  $- 64$ 
B)  2 
C)  17 
D)  64 
A)  $- 64$ 
B)  2 
C)  17 
D)  64

Question 15

Solve.
-$$4 + 10 p = - 6$$

Accepted Answer

A)  1 
B)  $- \frac { 1 } { 5 }$ 
C)  $- \frac { 3 } { 10 }$ 
D)  $ - 1$ 
A)  1 
B)  $- \frac { 1 } { 5 }$ 
C)  $- \frac { 3 } { 10 }$ 
D)  $ - 1$

Question 16

Solve. Clear decimals first.
-$19.5 y - 136.5 = 27.3 y - 191.1$

Accepted Answer

A)  $- 7$ 
B)  7 
C)  $- 14$ 
D)  14 
A)  $- 7$ 
B)  7 
C)  $- 14$ 
D)  14

Question 17

Solve using the multiplication principle.
-$$- 7 \mathrm {~b} = 119$$

Accepted Answer

A)  $- 126$ 
B)  126 
C)  $- 17$ 
D)  1 
A)  $- 126$ 
B)  126 
C)  $- 17$ 
D)  1

Question 18

Solve. Clear fractions first.
-$$\frac { 5 } { 3 } y - 25 = - 15$$

Accepted Answer

A)  $- 6$ 
B)  2 
C)  24 
D)  6 
A)  $- 6$ 
B)  2 
C)  24 
D)  6

Question 19

Solve. Clear decimals first.
-$13.6 t + 108.8 = 40.8 t + 326.4$

Accepted Answer

A)  32 
B)  $- 8$ 
C)  8 
D)  $- 32$ 
A)  32 
B)  $- 8$ 
C)  8 
D)  $- 32$

Question 20

Solve the equation using the addition principle.
-$$t + 3 \frac { 1 } { 2 } = 5 \frac { 1 } { 2 }$$

Accepted Answer

A)  2 
B)  9 
C)  5 
D)  4 
A)  2 
B)  9 
C)  5 
D)  4

Solve using the multiplication principle. - $\frac { 4 } { 7 } y = - \frac { 4 } { 5 }$

Solve. - $9 x + 2 x = 22$

Solve the equation using the addition principle. - $x - \frac { 15 } { 23 } = - \frac { 3 } { 23 }$

Solve. Clear fractions first. - $\frac { 3 } { 4 } x - \frac { 1 } { 3 } x = \frac { 5 } { 9 } x + 1$

Solve. Clear fractions first. - $\frac { 3 } { 5 } + 4 y = 3 y - \frac { 4 } { 15 }$

Solve. - $- 6 a + 3 + 7 a = 5 - 28$

Solve. - $( y - 9 ) - ( y + 8 ) = 4 y$

Solve using the multiplication principle. - $- \frac { 1 } { 2 } \mathrm { k } = - 10$

Solve. - $5 ( 7 x - 1 ) = 20$

Solve. Clear fractions first. - $\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 3$

Solve. - $9 x - 3 + 3 x = 6 x + 77 - 4 x$

Solve. - $- 3 x - 7 x = - 60$

Solve. - $- 9 n - 3 = 78$

Solve using the multiplication principle. - $- 4 s = - 68$

Solve. - $4 + 10 p = - 6$

Solve. Clear decimals first. - $19.5 y - 136.5 = 27.3 y - 191.1$

Solve using the multiplication principle. - $- 7 \mathrm {~b} = 119$

Solve. Clear fractions first. - $\frac { 5 } { 3 } y - 25 = - 15$

Solve. Clear decimals first. - $13.6 t + 108.8 = 40.8 t + 326.4$

Solve the equation using the addition principle. - $t + 3 \frac { 1 } { 2 } = 5 \frac { 1 } { 2 }$

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. - 47y=−45\frac { 4 } { 7 } y = - \frac { 4 } { 5 }74​y=−54​

Solve. - 9x+2x=229 x + 2 x = 229x+2x=22

Solve the equation using the addition principle. - x−1523=−323x - \frac { 15 } { 23 } = - \frac { 3 } { 23 }x−2315​=−233​

Solve. Clear fractions first. - 34x−13x=59x+1\frac { 3 } { 4 } x - \frac { 1 } { 3 } x = \frac { 5 } { 9 } x + 143​x−31​x=95​x+1

Solve. Clear fractions first. - 35+4y=3y−415\frac { 3 } { 5 } + 4 y = 3 y - \frac { 4 } { 15 }53​+4y=3y−154​

Solve. - −6a+3+7a=5−28- 6 a + 3 + 7 a = 5 - 28−6a+3+7a=5−28

Solve. - (y−9)−(y+8)=4y( y - 9 ) - ( y + 8 ) = 4 y(y−9)−(y+8)=4y

Solve using the multiplication principle. - −12k=−10- \frac { 1 } { 2 } \mathrm { k } = - 10−21​k=−10

Solve. - 5(7x−1)=205 ( 7 x - 1 ) = 205(7x−1)=20

Solve. Clear fractions first. - 25x−13x=3\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 352​x−31​x=3

Solve. - 9x−3+3x=6x+77−4x9 x - 3 + 3 x = 6 x + 77 - 4 x9x−3+3x=6x+77−4x

Solve. - −3x−7x=−60- 3 x - 7 x = - 60−3x−7x=−60

Solve. - −9n−3=78- 9 n - 3 = 78−9n−3=78

Solve using the multiplication principle. - −4s=−68- 4 s = - 68−4s=−68

Solve. - 4+10p=−64 + 10 p = - 64+10p=−6

Solve. Clear decimals first. - 19.5y−136.5=27.3y−191.119.5 y - 136.5 = 27.3 y - 191.119.5y−136.5=27.3y−191.1

Solve using the multiplication principle. - −7 b=119- 7 \mathrm {~b} = 119−7 b=119

Solve. Clear fractions first. - 53y−25=−15\frac { 5 } { 3 } y - 25 = - 1535​y−25=−15

Solve. Clear decimals first. - 13.6t+108.8=40.8t+326.413.6 t + 108.8 = 40.8 t + 326.413.6t+108.8=40.8t+326.4

Solve the equation using the addition principle. - t+312=512t + 3 \frac { 1 } { 2 } = 5 \frac { 1 } { 2 }t+321​=521​