Question 1

Solve.
-$$12 - 10 x = 3 x - 2 x - 65$$

Accepted Answer

A)  $\frac { 65 } { 9 }$ 
B)  $\frac { 53 } { 9 }$ 
C)  $\frac { 65 } { 11 }$ 
D)  7 
A)  $\frac { 65 } { 9 }$ 
B)  $\frac { 53 } { 9 }$ 
C)  $\frac { 65 } { 11 }$ 
D)  7

Question 2

Solve using the multiplication principle.
-$$- 4.8 m = - 14.4$$

Accepted Answer

A)  $11.4$ 
B)  3 
C)  $\frac { 1 } { 3 }$ 
D)  $9.6$ 
A)  $11.4$ 
B)  3 
C)  $\frac { 1 } { 3 }$ 
D)  $9.6$

Question 3

Solve using the multiplication principle.
-$- 9.9 y = 39.6$

Accepted Answer

A)  $- 29.7$ 
B)  $- 4$ 
C) $ - \frac { 1 } { 4 }$ 
D)  $- 35.6$ 
A)  $- 29.7$ 
B)  $- 4$ 
C) $ - \frac { 1 } { 4 }$ 
D)  $- 35.6$

Question 4

Solve.
-$$\frac { 1 } { 4 } a - \frac { 1 } { 4 } = - 6$$

Accepted Answer

A)  $- 23$ 
B)  23 
C)  25 
D)  $- 25$ 
A)  $- 23$ 
B)  23 
C)  25 
D)  $- 25$

Question 5

Solve using the multiplication principle.
-$$39.2 \mathrm { x } = 274.4$$

Accepted Answer

A)  $267.4$ 
B)  $\frac { 1 } { 7 }$ 
C)  $235.2$ 
D)  7 
A)  $267.4$ 
B)  $\frac { 1 } { 7 }$ 
C)  $235.2$ 
D)  7

Question 6

Solve.
-$$178 = 12 x + 10$$

Accepted Answer

A)  4 
B)  14 
C)  156 
D)  160 
A)  4 
B)  14 
C)  156 
D)  160

Question 7

Solve. Clear decimals first.
-$$- 7.9 q + 1.8 = - 49.4 - 1.5 q$$

Accepted Answer

A)  8 
B)  $6.5$ 
C)  $- 58$ 
D)  $6.7$ 
A)  8 
B)  $6.5$ 
C)  $- 58$ 
D)  $6.7$

Question 8

Solve.
-$$7 n - 10 = 11$$

Accepted Answer

A)  18 
B)  11 
C)  3 
D)  14 
A)  18 
B)  11 
C)  3 
D)  14

Question 9

Solve. Clear fractions first.
-$$\frac { 1 } { 3 } r + 2 = \frac { 1 } { 6 } r + \frac { 4 } { 3 }$$

Accepted Answer

A)  4 
B)  3 
C)  $- 4$ 
D)  $- 12$ 
A)  4 
B)  3 
C)  $- 4$ 
D)  $- 12$

Question 10

Solve.
-$$4 [ 3 - 3 ( x + 1 ) ] + 1 = 2 ( - 43 - x ) + 2 x + 43$$

Accepted Answer

A)  $\frac { 11 } { 3 }$ 
B)  0 
C)  11 
D)  $\frac { 11 } { 6 }$ 
A)  $\frac { 11 } { 3 }$ 
B)  0 
C)  11 
D)  $\frac { 11 } { 6 }$

Question 11

Evaluate the formula for the given values of the variables.
-When all $\mathrm { n }$ teams in a league play every other team twice, a total of $\mathrm { N }$ games are played, where $\mathrm { N } = \mathrm { n } ^ { 2 } - \mathrm { n }$. A basketball league has 5 teams and all teams play each other twice. How many games are played?

Accepted Answer

A)  15 games 
B)  5 games 
C)  20 games 
D)  30 games 
A)  15 games 
B)  5 games 
C)  20 games 
D)  30 games

Question 12

Solve using the multiplication principle.
-$- \frac { 1 } { 7 } y = 16$

Accepted Answer

A)  $- 105$ 
B)  $- 96$ 
C)  $- 23$ 
D)  $- 112$ 
A)  $- 105$ 
B)  $- 96$ 
C)  $- 23$ 
D)  $- 112$

Question 13

Solve. Clear fractions first.
-$$x + \frac { 1 } { 2 } x = 27$$

Accepted Answer

A)  18 
B)  9 
C)  54 
D)  21 
A)  18 
B)  9 
C)  54 
D)  21

Question 14

Solve.
-$$2 [ 3 - ( 5 - 5 r ) ] - r = - 10 + 3 ( 2 + 3 r )$$

Accepted Answer

A)  $- 5$ 
B)  No solution 
C)  10 
D)  All real numbers 
A)  $- 5$ 
B)  No solution 
C)  10 
D)  All real numbers

Question 15

Solve.
-$$9 x + 5 = - 22$$

Accepted Answer

A)  $- \frac { 17 } { 9 }$ 
B)  $- 3$ 
C)  $- 36$ 
D)  $- 2$ 
A)  $- \frac { 17 } { 9 }$ 
B)  $- 3$ 
C)  $- 36$ 
D)  $- 2$

Question 16

Solve. Clear decimals first.
-$$5.34 x + 37.38 = 12.46 x + 87.22$$

Accepted Answer

A)  $- 7$ 
B)  28 
C)  $- 28$ 
D)  7 
A)  $- 7$ 
B)  28 
C)  $- 28$ 
D)  7

Question 17

Decide if the given number is a solution to the given equation.
-$$\frac { x } { 9 } = 8 ; 72$$

Accepted Answer

A) True 
 B)False

Question 18

Solve.
-$5.3 ( x + 3.7 ) - 7.3 = 8 ( x + 1 ) - 10$

Accepted Answer

A)  $5.3$ 
B)  $15.3$ 
C)  $23.3$ 
D)  $7.3$ 
A)  $5.3$ 
B)  $15.3$ 
C)  $23.3$ 
D)  $7.3$

Question 19

Solve using the multiplication principle.
-$- 19.2 \mathrm {~m} = - 153.6$

Accepted Answer

A)  $\frac { 1 } { 8 }$ 
B)  8 
C)  $145.6$ 
D)  $134.4$ 
A)  $\frac { 1 } { 8 }$ 
B)  8 
C)  $145.6$ 
D)  $134.4$

Question 20

Solve using the multiplication principle.
-$$- 48.3 y = 821.1$$

Accepted Answer

A)  $- 17$ 
B)  -804.1 
C)  $- \frac { 1 } { 17 }$ 
D)  $- 772.8$ 
A)  $- 17$ 
B)  -804.1 
C)  $- \frac { 1 } { 17 }$ 
D)  $- 772.8$

Solve. - $12 - 10 x = 3 x - 2 x - 65$

Solve using the multiplication principle. - $- 4.8 m = - 14.4$

Solve using the multiplication principle. - $- 9.9 y = 39.6$

Solve. - $\frac { 1 } { 4 } a - \frac { 1 } { 4 } = - 6$

Solve using the multiplication principle. - $39.2 \mathrm { x } = 274.4$

Solve. - $178 = 12 x + 10$

Solve. Clear decimals first. - $- 7.9 q + 1.8 = - 49.4 - 1.5 q$

Solve. - $7 n - 10 = 11$

Solve. Clear fractions first. - $\frac { 1 } { 3 } r + 2 = \frac { 1 } { 6 } r + \frac { 4 } { 3 }$

Solve. - $4 [ 3 - 3 ( x + 1 ) ] + 1 = 2 ( - 43 - x ) + 2 x + 43$

Solve using the multiplication principle. - $- \frac { 1 } { 7 } y = 16$

Solve. Clear fractions first. - $x + \frac { 1 } { 2 } x = 27$

Solve. - $2 [ 3 - ( 5 - 5 r ) ] - r = - 10 + 3 ( 2 + 3 r )$

Solve. - $9 x + 5 = - 22$

Solve. Clear decimals first. - $5.34 x + 37.38 = 12.46 x + 87.22$

Decide if the given number is a solution to the given equation. - $\frac { x } { 9 } = 8 ; 72$

Solve. - $5.3 ( x + 3.7 ) - 7.3 = 8 ( x + 1 ) - 10$

Solve using the multiplication principle. - $- 19.2 \mathrm {~m} = - 153.6$

Solve using the multiplication principle. - $- 48.3 y = 821.1$

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. - 12−10x=3x−2x−6512 - 10 x = 3 x - 2 x - 6512−10x=3x−2x−65

Solve using the multiplication principle. - −4.8m=−14.4- 4.8 m = - 14.4−4.8m=−14.4

Solve using the multiplication principle. - −9.9y=39.6- 9.9 y = 39.6−9.9y=39.6

Solve. - 14a−14=−6\frac { 1 } { 4 } a - \frac { 1 } { 4 } = - 641​a−41​=−6

Solve using the multiplication principle. - 39.2x=274.439.2 \mathrm { x } = 274.439.2x=274.4

Solve. - 178=12x+10178 = 12 x + 10178=12x+10

Solve. Clear decimals first. - −7.9q+1.8=−49.4−1.5q- 7.9 q + 1.8 = - 49.4 - 1.5 q−7.9q+1.8=−49.4−1.5q

Solve. - 7n−10=117 n - 10 = 117n−10=11

Solve. Clear fractions first. - 13r+2=16r+43\frac { 1 } { 3 } r + 2 = \frac { 1 } { 6 } r + \frac { 4 } { 3 }31​r+2=61​r+34​

Solve. - 4[3−3(x+1)]+1=2(−43−x)+2x+434 [ 3 - 3 ( x + 1 ) ] + 1 = 2 ( - 43 - x ) + 2 x + 434[3−3(x+1)]+1=2(−43−x)+2x+43

Solve using the multiplication principle. - −17y=16- \frac { 1 } { 7 } y = 16−71​y=16

Solve. Clear fractions first. - x+12x=27x + \frac { 1 } { 2 } x = 27x+21​x=27

Solve. - 2[3−(5−5r)]−r=−10+3(2+3r)2 [ 3 - ( 5 - 5 r ) ] - r = - 10 + 3 ( 2 + 3 r )2[3−(5−5r)]−r=−10+3(2+3r)

Solve. - 9x+5=−229 x + 5 = - 229x+5=−22

Solve. Clear decimals first. - 5.34x+37.38=12.46x+87.225.34 x + 37.38 = 12.46 x + 87.225.34x+37.38=12.46x+87.22

Decide if the given number is a solution to the given equation. - x9=8;72\frac { x } { 9 } = 8 ; 729x​=8;72

Solve. - 5.3(x+3.7)−7.3=8(x+1)−105.3 ( x + 3.7 ) - 7.3 = 8 ( x + 1 ) - 105.3(x+3.7)−7.3=8(x+1)−10

Solve using the multiplication principle. - −19.2 m=−153.6- 19.2 \mathrm {~m} = - 153.6−19.2 m=−153.6

Solve using the multiplication principle. - −48.3y=821.1- 48.3 y = 821.1−48.3y=821.1