Question 1

Solve.
-$$6 x + 5 = 3 x + 26$$

Accepted Answer

A)  $\frac { 31 } { 9 }$ 
B)  7 
C)  9 
D)  $\frac { 7 } { 3 }$ 
A)  $\frac { 31 } { 9 }$ 
B)  7 
C)  9 
D)  $\frac { 7 } { 3 }$

Question 2

Solve using the multiplication principle.
-$$- 112 = - 7 n$$

Accepted Answer

A)  16 
B)  2 
C)  105 
D)  $- 105$ 
A)  16 
B)  2 
C)  105 
D)  $- 105$

Question 3

Solve using the multiplication principle.
-$$\frac { x } { 3 } = 14$$

Accepted Answer

A)  17 
B)  39 
C)  28 
D)  42 
A)  17 
B)  39 
C)  28 
D)  42

Question 4

Solve.
-$$2 ( 4 g - 19 ) - 8 g + 38 = 0$$

Accepted Answer

A)  No solution 
B)  4 
C)  All real numbers 
D)  $- 4$ 
A)  No solution 
B)  4 
C)  All real numbers 
D)  $- 4$

Question 5

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

Accepted Answer

A)  11 
B)  $\frac { 11 } { 3 }$ 
C)  1 
D)  $\frac { 13 } { 3 }$ 
A)  11 
B)  $\frac { 11 } { 3 }$ 
C)  1 
D)  $\frac { 13 } { 3 }$

Question 6

Solve the equation using the addition principle.
-$$a - 8 = - 7$$

Accepted Answer

A)  $- 15$ 
B)  $- 1$ 
C)  15 
D)  1 
A)  $- 15$ 
B)  $- 1$ 
C)  15 
D)  1

Question 7

Solve.
-$$7 x - ( 3 x - 1 ) = 2$$

Accepted Answer

A)  $\frac { 1 } { 10 }$ 
B)  $- \frac { 1 } { 4 }$ 
C)  $- \frac { 1 } { 10 }$ 
D)  $\frac { 1 } { 4 }$ 
A)  $\frac { 1 } { 10 }$ 
B)  $- \frac { 1 } { 4 }$ 
C)  $- \frac { 1 } { 10 }$ 
D)  $\frac { 1 } { 4 }$

Question 8

Solve.
-$$5 ( 2 f - 31 ) = 10 f - 155$$

Accepted Answer

A)  All real numbers 
B)  0 
C)  No solution 
D)  1 
A)  All real numbers 
B)  0 
C)  No solution 
D)  1

Question 9

Solve.
-$$- 6 s + 28 + 2 ( 3 s - 10 ) = 0$$

Accepted Answer

A)  All real numbers 
B)  No solution 
C)  3 
D)  1 
A)  All real numbers 
B)  No solution 
C)  3 
D)  1

Question 10

Decide if the given number is a solution to the given equation.
-$$\mathrm { p } - 7 = 1 ; 8$$

Accepted Answer

A) True 
 B)False

Question 11

Evaluate the formula for the given values of the variables.
-$P = 2 L + 2 W ; L = 4$ in., $W = 3$ in.

Accepted Answer

A)  $\mathrm { P } = 24 \mathrm { in }$. 
B)  $\mathrm { P } = 14 \mathrm { in }$. 
C)  $\mathrm { P } = 48 \mathrm { in }$. 
D)  $P = 7$ in. 
A)  $\mathrm { P } = 24 \mathrm { in }$. 
B)  $\mathrm { P } = 14 \mathrm { in }$. 
C)  $\mathrm { P } = 48 \mathrm { in }$. 
D)  $P = 7$ in.

Question 12

Solve. Clear fractions first.
-$$\frac { 17 } { 16 } x + \frac { 1 } { 16 } x = 4 x + \frac { 1 } { 8 } + \frac { 15 } { 16 } x$$

Accepted Answer

A)  $\frac { 1 } { 61 }$ 
B)  $- \frac { 1 } { 61 }$ 
C)  $\frac { 2 } { 67 }$ 
D)  $- \frac { 2 } { 61 }$ 
A)  $\frac { 1 } { 61 }$ 
B)  $- \frac { 1 } { 61 }$ 
C)  $\frac { 2 } { 67 }$ 
D)  $- \frac { 2 } { 61 }$

Question 13

Solve. Clear decimals first.
-$1.4 x + 1.8 = - 34.5 + 4.7 x$

Accepted Answer

A)  11 
B)  $7.7$ 
C)  $8.0$ 
D)  $- 40$ 
A)  11 
B)  $7.7$ 
C)  $8.0$ 
D)  $- 40$

Question 14

Solve the equation using the addition principle.
-$$z - 22.43 = 0$$

Accepted Answer

A)  $- 21.43$ 
B)  $22.43$ 
C)  $- 22.43$ 
D)  $21.43$ 
A)  $- 21.43$ 
B)  $22.43$ 
C)  $- 22.43$ 
D)  $21.43$

Question 15

Solve using the multiplication principle.
-$$\frac { m } { - 5 } = 17$$

Accepted Answer

A)  $- 68$ 
B)  $- 22$ 
C)  $- 80$ 
D)  $- 85$ 
A)  $- 68$ 
B)  $- 22$ 
C)  $- 80$ 
D)  $- 85$

Question 16

Solve.
-$6.6 - 2.6 ( x + 4.4 ) = 9 - 5 ( x + 2 )$

Accepted Answer

A)  $5.6$ 
B)  $15.6$ 
C)  $1.6$ 
D)  $10.6$ 
A)  $5.6$ 
B)  $15.6$ 
C)  $1.6$ 
D)  $10.6$

Question 17

Solve.
-$$\frac { 1 } { 5 } \mathrm { f } - 5 = 1$$

Accepted Answer

A)  20 
B)  30 
C)  $- 20$ 
D)  $- 30$ 
A)  20 
B)  30 
C)  $- 20$ 
D)  $- 30$

Question 18

Solve.
-$$5 x - 2 + 7 x - 6 = 7 x + 5 x + 8$$

Accepted Answer

A)  All real numbers 
B)  8 
C)  No solution 
D)  0 
A)  All real numbers 
B)  8 
C)  No solution 
D)  0

Question 19

Solve the equation using the addition principle.
-27 = -21 + z

Accepted Answer

A)  $ 48$ 
B)  $- 6$ 
C)  $ 6$ 
D)  $- 48$ 
A)  $ 48$ 
B)  $- 6$ 
C)  $ 6$ 
D)  $- 48$

Question 20

Solve.
-$$- 2 \mathrm { x } - 18 = - 58$$

Accepted Answer

A)  20 
B)  $- 20$ 
C)  $- 38$ 
D)  38 
A)  20 
B)  $- 20$ 
C)  $- 38$ 
D)  38

Solve. - $6 x + 5 = 3 x + 26$

Solve using the multiplication principle. - $- 112 = - 7 n$

Solve using the multiplication principle. - $\frac { x } { 3 } = 14$

Solve. - $2 ( 4 g - 19 ) - 8 g + 38 = 0$

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

Solve the equation using the addition principle. - $a - 8 = - 7$

Solve. - $7 x - ( 3 x - 1 ) = 2$

Solve. - $5 ( 2 f - 31 ) = 10 f - 155$

Solve. - $- 6 s + 28 + 2 ( 3 s - 10 ) = 0$

Decide if the given number is a solution to the given equation. - $\mathrm { p } - 7 = 1 ; 8$

Evaluate the formula for the given values of the variables. - $P = 2 L + 2 W ; L = 4$ in., $W = 3$ in.

Solve. Clear fractions first. - $\frac { 17 } { 16 } x + \frac { 1 } { 16 } x = 4 x + \frac { 1 } { 8 } + \frac { 15 } { 16 } x$

Solve. Clear decimals first. - $1.4 x + 1.8 = - 34.5 + 4.7 x$

Solve the equation using the addition principle. - $z - 22.43 = 0$

Solve using the multiplication principle. - $\frac { m } { - 5 } = 17$

Solve. - $6.6 - 2.6 ( x + 4.4 ) = 9 - 5 ( x + 2 )$

Solve. - $\frac { 1 } { 5 } \mathrm { f } - 5 = 1$

Solve. - $5 x - 2 + 7 x - 6 = 7 x + 5 x + 8$

Solve the equation using the addition principle. -27 = -21 + z

Solve. - $- 2 \mathrm { x } - 18 = - 58$

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. - 6x+5=3x+266 x + 5 = 3 x + 266x+5=3x+26

Solve using the multiplication principle. - −112=−7n- 112 = - 7 n−112=−7n

Solve using the multiplication principle. - x3=14\frac { x } { 3 } = 143x​=14

Solve. - 2(4g−19)−8g+38=02 ( 4 g - 19 ) - 8 g + 38 = 02(4g−19)−8g+38=0

Solve the equation using the addition principle. - 13+x=4\frac { 1 } { 3 } + x = 431​+x=4

Solve the equation using the addition principle. - a−8=−7a - 8 = - 7a−8=−7

Solve. - 7x−(3x−1)=27 x - ( 3 x - 1 ) = 27x−(3x−1)=2

Solve. - 5(2f−31)=10f−1555 ( 2 f - 31 ) = 10 f - 1555(2f−31)=10f−155

Solve. - −6s+28+2(3s−10)=0- 6 s + 28 + 2 ( 3 s - 10 ) = 0−6s+28+2(3s−10)=0

Decide if the given number is a solution to the given equation. - p−7=1;8\mathrm { p } - 7 = 1 ; 8p−7=1;8

Evaluate the formula for the given values of the variables. - P=2L+2W;L=4P = 2 L + 2 W ; L = 4P=2L+2W;L=4 in., W=3W = 3W=3 in.

Solve. Clear fractions first. - 1716x+116x=4x+18+1516x\frac { 17 } { 16 } x + \frac { 1 } { 16 } x = 4 x + \frac { 1 } { 8 } + \frac { 15 } { 16 } x1617​x+161​x=4x+81​+1615​x

Solve. Clear decimals first. - 1.4x+1.8=−34.5+4.7x1.4 x + 1.8 = - 34.5 + 4.7 x1.4x+1.8=−34.5+4.7x

Solve the equation using the addition principle. - z−22.43=0z - 22.43 = 0z−22.43=0

Solve using the multiplication principle. - m−5=17\frac { m } { - 5 } = 17−5m​=17

Solve. - 6.6−2.6(x+4.4)=9−5(x+2)6.6 - 2.6 ( x + 4.4 ) = 9 - 5 ( x + 2 )6.6−2.6(x+4.4)=9−5(x+2)

Solve. - 15f−5=1\frac { 1 } { 5 } \mathrm { f } - 5 = 151​f−5=1

Solve. - 5x−2+7x−6=7x+5x+85 x - 2 + 7 x - 6 = 7 x + 5 x + 85x−2+7x−6=7x+5x+8