Question 1

Solve.
-$6 x-(3 x-1)=2$

Accepted Answer

A)  $\frac{1}{3}$ 
B)  $-\frac{1}{3}$ 
C)  $-\frac{1}{9}$ 
D)  $\frac{1}{9}$ 
A)  $\frac{1}{3}$ 
B)  $-\frac{1}{3}$ 
C)  $-\frac{1}{9}$ 
D)  $\frac{1}{9}$

Question 2

Decide if the given number is a solution to the given equation.
-$\frac{X}{4}=7 ; 28$

Accepted Answer

A) True 
 B)False

Question 3

Solve using the multiplication principle.
-$96=-6 z$

Accepted Answer

A)  -16 
B)  102 
C)  1 
D)  -102 
A)  -16 
B)  102 
C)  1 
D)  -102

Question 4

Solve using the addition principle. Graph and write set-builder notation for the answer.
-$7 n-3>6 n+3$

Accepted Answer

A) $\{\mathrm{n} \mid \mathrm{n} \geq 0\}$ B) $\{\mathrm{n} \mid \mathrm{n}>6\}$ C) $\{\mathrm{n} \mid \mathrm{n} \leq 0\}$ D) $\{$ n $\mid$ n $<6\}$ A) $\{\mathrm{n} \mid \mathrm{n} \geq 0\}$ B) $\{\mathrm{n} \mid \mathrm{n}>6\}$ C) $\{\mathrm{n} \mid \mathrm{n} \leq 0\}$ D) $\{$ n $\mid$ n $<6\}$

Question 5

Determine whether the given number is a solution of the inequality.
-$x \geq 5,7.02$

Accepted Answer

A) True 
 B)False

Question 6

Solve the problem.
-By switching service providers, a family's telephone bill decreased from about $\$ 50$ a month to about $\$ 44$. What was the percent of decrease?

Accepted Answer

A)  $12 \%$ 
B)  $13.6 \%$ 
C)  $13 \%$ 
D)  $6 \%$ 
A)  $12 \%$ 
B)  $13.6 \%$ 
C)  $13 \%$ 
D)  $6 \%$

Question 7

Answer the question.
-In a school survey, students showed these preferences for instructional materials. Answer the question.
 
About how many students would you expect to prefer written materials in a school of 700 students?

Accepted Answer

A)  About 252 students 
B)  About 63 students 
C)  About 9 students 
D)  About 126 students 
A)  About 252 students 
B)  About 63 students 
C)  About 9 students 
D)  About 126 students

Question 8

Graph the inequality.
-$x>-4$

Accepted Answer

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

Question 9

Solve using the multiplication principle.
-$\frac{m}{-9}=25$

Accepted Answer

A)  -225 
B)  -34 
C)  -216 
D)  -200 
A)  -225 
B)  -34 
C)  -216 
D)  -200

Question 10

Solve. Clear decimals first.
-$-6.4 q+1.7=-13.3-1.4 q$

Accepted Answer

A)  -20 
B)  3 
C)  2.3 
D)  2.6 
A)  -20 
B)  3 
C)  2.3 
D)  2.6

Question 11

Provide an appropriate response.
-Find all values of $x$ that make this statement true: $(x-4)+1=(x+1)-4$.

Accepted Answer

x can be a

Question 12

Solve using the multiplication principle.
-$-5 \mathrm{~b}<-\frac{1}{5}$

Accepted Answer

A) $\left\{\mathrm{b} \mid \mathrm{b}>-\frac{1}{25}\right\}$ B) $\left\{\right.$ b $\left.b\frac{1}{25}\right\}$ D) $\left\{\right.$ b $\left.\mid b<-\frac{1}{25}\right\}$ A) $\left\{\mathrm{b} \mid \mathrm{b}>-\frac{1}{25}\right\}$ B) $\left\{\right.$ b $\left.b\frac{1}{25}\right\}$ D) $\left\{\right.$ b $\left.\mid b<-\frac{1}{25}\right\}$

Question 13

Provide an appropriate response.
-What value of $K$ makes this equation equivalent to $x=3$ ?
$\frac{9}{K+x}=3$

Accepted Answer

The answer of Provide an appropriate response.
-What value of $K$...

Question 14

Solve.
-$8.8 y-5.5 y=62.7$

Accepted Answer

A)  21 
B)  18 
C)  19 
D)  20 
A)  21 
B)  18 
C)  19 
D)  20

Question 15

Solve.
-$5 x-7+5 x=8 x+49-5 x$

Accepted Answer

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

Question 16

Solve the problem.
-Jim has gotten scores of 89 and 86 on his first two tests. What score must he get on his third test to keep an average of 80 or greater?

Accepted Answer

A)  At least 65 
B)  At least 64 
C)  At least 87.5 
D)  At least 85.0 
A)  At least 65 
B)  At least 64 
C)  At least 87.5 
D)  At least 85.0

Question 17

Solve.
-$9(x-36)=18$

Accepted Answer

A)  34 
B)  38 
C)  36 
D)  18 
A)  34 
B)  38 
C)  36 
D)  18

Question 18

Solve the problem.
-A high school graduating class is made up of 394 students. There are 74 more girls than boys. How many boys are in the class?

Accepted Answer

A)  160 boys 
B)  394 boys 
C)  74 boys 
D)  234 boys 
A)  160 boys 
B)  394 boys 
C)  74 boys 
D)  234 boys

Question 19

Provide an appropriate response.
- The solution of the equation $7 y-6=7 y+3$ is zero.

Accepted Answer

A) True 
 B)False

Question 20

Solve using the multiplication principle.
-$-2 x<-\frac{1}{7}$

Accepted Answer

A) $\left\{\left\{|x| x>\frac{1}{14}\right\}\right.$ B) $\left\{x \mid x>\frac{1}{7}\right\}$ C) $\left\{x \mid x<-\frac{1}{14}\right\}$ D) $\left\{x \mid x<\frac{1}{7}\right\}$ A) $\left\{\left\{|x| x>\frac{1}{14}\right\}\right.$ B) $\left\{x \mid x>\frac{1}{7}\right\}$ C) $\left\{x \mid x<-\frac{1}{14}\right\}$ D) $\left\{x \mid x<\frac{1}{7}\right\}$

Solve. - $6 x-(3 x-1)=2$

Decide if the given number is a solution to the given equation. - $\frac{X}{4}=7 ; 28$

Solve using the multiplication principle. - $96=-6 z$

Solve using the addition principle. Graph and write set-builder notation for the answer. - $7 n-3>6 n+3$

Determine whether the given number is a solution of the inequality. - $x \geq 5,7.02$

Solve the problem. -By switching service providers, a family's telephone bill decreased from about $\$ 50$ a month to about $\$ 44$ . What was the percent of decrease?

Answer the question. -In a school survey, students showed these preferences for instructional materials. Answer the question. About how many students would you expect to prefer written materials in a school of 700 students?

Graph the inequality. - $x>-4$

Solve using the multiplication principle. - $\frac{m}{-9}=25$

Solve. Clear decimals first. - $-6.4 q+1.7=-13.3-1.4 q$

Provide an appropriate response. -Find all values of $x$ that make this statement true: $(x-4)+1=(x+1)-4$ .

Solve using the multiplication principle. - $-5 \mathrm{~b}<-\frac{1}{5}$

Provide an appropriate response. -What value of $K$ makes this equation equivalent to $x=3$ ? $\frac{9}{K+x}=3$

Solve. - $8.8 y-5.5 y=62.7$

Solve. - $5 x-7+5 x=8 x+49-5 x$

Solve the problem. -Jim has gotten scores of 89 and 86 on his first two tests. What score must he get on his third test to keep an average of 80 or greater?

Solve. - $9(x-36)=18$

Solve the problem. -A high school graduating class is made up of 394 students. There are 74 more girls than boys. How many boys are in the class?

Provide an appropriate response. - The solution of the equation $7 y-6=7 y+3$ is zero.

Solve using the multiplication principle. - $-2 x<-\frac{1}{7}$

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. - 6x−(3x−1)=26 x-(3 x-1)=26x−(3x−1)=2

Decide if the given number is a solution to the given equation. - X4=7;28\frac{X}{4}=7 ; 284X​=7;28

Solve using the multiplication principle. - 96=−6z96=-6 z96=−6z

Solve using the addition principle. Graph and write set-builder notation for the answer. - 7n−3>6n+37 n-3>6 n+37n−3>6n+3

Determine whether the given number is a solution of the inequality. - x≥5,7.02x \geq 5,7.02x≥5,7.02

Solve the problem. -By switching service providers, a family's telephone bill decreased from about $50\$ 50$50 a month to about $44\$ 44$44 . What was the percent of decrease?

Answer the question. -In a school survey, students showed these preferences for instructional materials. Answer the question. About how many students would you expect to prefer written materials in a school of 700 students?

Graph the inequality. - x>−4x>-4x>−4

Solve using the multiplication principle. - m−9=25\frac{m}{-9}=25−9m​=25

Solve. Clear decimals first. - −6.4q+1.7=−13.3−1.4q-6.4 q+1.7=-13.3-1.4 q−6.4q+1.7=−13.3−1.4q

Provide an appropriate response. -Find all values of xxx that make this statement true: (x−4)+1=(x+1)−4(x-4)+1=(x+1)-4(x−4)+1=(x+1)−4 .

Solve using the multiplication principle. - −5 b<−15-5 \mathrm{~b}<-\frac{1}{5}−5 b<−51​

Provide an appropriate response. -What value of KKK makes this equation equivalent to x=3x=3x=3 ? 9K+x=3\frac{9}{K+x}=3K+x9​=3

Solve. - 8.8y−5.5y=62.78.8 y-5.5 y=62.78.8y−5.5y=62.7

Solve. - 5x−7+5x=8x+49−5x5 x-7+5 x=8 x+49-5 x5x−7+5x=8x+49−5x

Solve the problem. -Jim has gotten scores of 89 and 86 on his first two tests. What score must he get on his third test to keep an average of 80 or greater?

Solve. - 9(x−36)=189(x-36)=189(x−36)=18

Solve the problem. -A high school graduating class is made up of 394 students. There are 74 more girls than boys. How many boys are in the class?

Provide an appropriate response. - The solution of the equation 7y−6=7y+37 y-6=7 y+37y−6=7y+3 is zero.

Solve using the multiplication principle. - −2x<−17-2 x<-\frac{1}{7}−2x<−71​

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

Solve. - $6 x-(3 x-1)=2$

Decide if the given number is a solution to the given equation. - $\frac{X}{4}=7 ; 28$

Solve using the multiplication principle. - $96=-6 z$

Solve using the addition principle. Graph and write set-builder notation for the answer. - $7 n-3>6 n+3$

Determine whether the given number is a solution of the inequality. - $x \geq 5,7.02$

Solve the problem. -By switching service providers, a family's telephone bill decreased from about $\$ 50$ a month to about $\$ 44$ . What was the percent of decrease?

Graph the inequality. - $x>-4$

Solve using the multiplication principle. - $\frac{m}{-9}=25$

Solve. Clear decimals first. - $-6.4 q+1.7=-13.3-1.4 q$

Provide an appropriate response. -Find all values of $x$ that make this statement true: $(x-4)+1=(x+1)-4$ .

Solve using the multiplication principle. - $-5 \mathrm{~b}<-\frac{1}{5}$

Provide an appropriate response. -What value of $K$ makes this equation equivalent to $x=3$ ? $\frac{9}{K+x}=3$

Solve. - $8.8 y-5.5 y=62.7$

Solve. - $5 x-7+5 x=8 x+49-5 x$

Solve. - $9(x-36)=18$

Provide an appropriate response. - The solution of the equation $7 y-6=7 y+3$ is zero.

Solve using the multiplication principle. - $-2 x<-\frac{1}{7}$