Question 1

Solve.
-$\frac{1}{5}(20 x-25)=\frac{1}{3}(15 x-12)$

Accepted Answer

A)  1 
B)  -20 
C)  -1 
D)  $\frac{1}{20}$ 
A)  1 
B)  -20 
C)  -1 
D)  $\frac{1}{20}$

Question 2

Solve the problem.
-Jon has 813 points in his math class. He must have $72 \%$ of the 1400 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

Accepted Answer

A)  1008 points 
B)  585 points 
C)  195 points 
D)  587 points 
A)  1008 points 
B)  585 points 
C)  195 points 
D)  587 points

Question 3

Solve using the addition and multiplication principles.
-$13 x-3 \leq 12 x+5$

Accepted Answer

A) $\{\mathrm{x} \mid \mathrm{x} \leq 8\}$ B) $\{x \mid x>13\}$ C) $\{x \mid x<13\}$ D) $\{x \mid x \geq 8\}$ A) $\{\mathrm{x} \mid \mathrm{x} \leq 8\}$ B) $\{x \mid x>13\}$ C) $\{x \mid x<13\}$ D) $\{x \mid x \geq 8\}$

Question 4

Solve the equation using the addition principle.
-$-7+\mathrm{x}=18$

Accepted Answer

A)  -11 
B)  11 
C)  25 
D)  -25 
A)  -11 
B)  11 
C)  25 
D)  -25

Question 5

Solve.
-Jordan sold his used snow plow and accessories for $\$ 539$. If he received ten times as much money for the snow plow as he did for the accessories, how much did he receive for the snow plow?

Accepted Answer

A)  $\$ 490$ 
B)  $\$ 59$ 
C)  $\$ 5390$ 
D)  $\$ 49$ 
A)  $\$ 490$ 
B)  $\$ 59$ 
C)  $\$ 5390$ 
D)  $\$ 49$

Question 6

Solve using the addition and multiplication principles.
-$1-\frac{3}{2} \mathrm{x}+3>\frac{\mathrm{x}}{2}+\frac{3}{2}$

Accepted Answer

A)  $\left\{\mathrm{x} \mid \mathrm{x}\frac{5}{2}\right\}$ 
D)  $\left\{\mathrm{x} \mid \mathrm{x}>-\frac{7}{4}\right\}$ 
A)  $\left\{\mathrm{x} \mid \mathrm{x}\frac{5}{2}\right\}$ 
D)  $\left\{\mathrm{x} \mid \mathrm{x}>-\frac{7}{4}\right\}$

Question 7

Solve the problem.
-If Gloria received a 11 percent raise and is now making $\$ 22,200$ a year, what was her salary before the raise? Round to the nearest dollar if necessary.

Accepted Answer

A)  $\$ 19,758$ 
B)  $\$ 21,000$ 
C)  $\$ 20,000$ 
D)  $\$ 20,200$ 
A)  $\$ 19,758$ 
B)  $\$ 21,000$ 
C)  $\$ 20,000$ 
D)  $\$ 20,200$

Question 8

Solve.
-$6 r+2=56$

Accepted Answer

A)  7 
B)  9 
C)  48 
D)  52 
A)  7 
B)  9 
C)  48 
D)  52

Question 9

Solve using the addition and multiplication principles.
-$-5 x-9 \geq-6 x-8$

Accepted Answer

A)  $\{\mathrm{x} \mid \mathrm{x}-5\}$ 
A)  $\{\mathrm{x} \mid \mathrm{x}-5\}$

Question 10

Translate the sentence to an inequality.
-A number is greater than -1 .

Accepted Answer

A) $x \leq-1$ B) $x \geq-1$ C) $x>-1$ D) $\mathrm{x}<-1$ A) $x \leq-1$ B) $x \geq-1$ C) $x>-1$ D) $\mathrm{x}<-1$

Question 11

Solve.
-$6(8 \mathrm{x}-1)=24$

Accepted Answer

A)  $\frac{25}{48}$ 
B)  $\frac{3}{8}$ 
C)  $\frac{23}{48}$ 
D)  $\frac{5}{8}$ 
A)  $\frac{25}{48}$ 
B)  $\frac{3}{8}$ 
C)  $\frac{23}{48}$ 
D)  $\frac{5}{8}$

Question 12

Solve the problem.
-Jim has gotten scores of 66 and 81 on his first two tests. What score must he get on his third test to keep an average of 75 or greater?

Accepted Answer

A)  At least 74.0 
B)  At least 77 
C)  At least 78 
D)  At least 73.5 
A)  At least 74.0 
B)  At least 77 
C)  At least 78 
D)  At least 73.5

Question 13

Solve using the multiplication principle.
-$45=9 x$

Accepted Answer

A)  405 
B)  5 
C)  $\frac{1}{5}$ 
D)  36 
A)  405 
B)  5 
C)  $\frac{1}{5}$ 
D)  36

Question 14

Solve the problem. Round to the nearest tenth of a percent.
-What percent of 7 is 0.03 ?

Accepted Answer

A)  $42.9 \%$ 
B)  $4.3 \%$ 
C)  $0.4 \%$ 
D)  $233.3 \%$ 
A)  $42.9 \%$ 
B)  $4.3 \%$ 
C)  $0.4 \%$ 
D)  $233.3 \%$

Question 15

Solve the problem.
-Andy left a $15 \%$ tip for a meal that cost $\$ 47$. What was the total cost of the meal including the tip?

Accepted Answer

A)  $\$ 7.05$ 
B)  $\$ 39.95$ 
C)  $\$ 54.05$ 
D)  $\$ 61.10$ 
A)  $\$ 7.05$ 
B)  $\$ 39.95$ 
C)  $\$ 54.05$ 
D)  $\$ 61.10$

Question 16

Solve.
-$5[3-3(x+1)]+1=2(-39-x)+2 x+39$

Accepted Answer

A)  0 
B)  $\frac{8}{6}$ 
C)  $\frac{8}{3}$ 
D)  8 
A)  0 
B)  $\frac{8}{6}$ 
C)  $\frac{8}{3}$ 
D)  8

Question 17

Translate the sentence to an inequality.
-The height of a member of the basketball team is at least 76 inches.

Accepted Answer

A) $x>76$ B) $x \geq 76$ C) $\mathrm{x}<76$ D) $\mathrm{x} \leq 76$ A) $x>76$ B) $x \geq 76$ C) $\mathrm{x}<76$ D) $\mathrm{x} \leq 76$

Question 18

Solve the equation using the addition principle.
-$b+3=6$

Accepted Answer

A)  -9 
B)  9 
C)  3 
D)  -3 
A)  -9 
B)  9 
C)  3 
D)  -3

Question 19

Solve using the multiplication principle.
-$18=-2 k$

Accepted Answer

A)  1 
B)  20 
C)  -20 
D)  -9 
A)  1 
B)  20 
C)  -20 
D)  -9

Question 20

Solve the problem.
-One side of a rectangle is 9 inches and the other side is $x$ inches. What values of $x$ will make the perimeter at most 46 ?

Accepted Answer

A)  $\mathrm{x}<14$ 
B)  $0<\mathrm{x} \leq 14$ 
C)  $\mathrm{x} \leq 14$ 
D)  $\mathrm{x} \geq 14$ 
A)  $\mathrm{x}<14$ 
B)  $0<\mathrm{x} \leq 14$ 
C)  $\mathrm{x} \leq 14$ 
D)  $\mathrm{x} \geq 14$

Solve. - $\frac{1}{5}(20 x-25)=\frac{1}{3}(15 x-12)$

Solve the problem. -Jon has 813 points in his math class. He must have $72 \%$ of the 1400 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

Solve using the addition and multiplication principles. - $13 x-3 \leq 12 x+5$

Solve the equation using the addition principle. - $-7+\mathrm{x}=18$

Solve. -Jordan sold his used snow plow and accessories for $\$ 539$ . If he received ten times as much money for the snow plow as he did for the accessories, how much did he receive for the snow plow?

Solve using the addition and multiplication principles. - $1-\frac{3}{2} \mathrm{x}+3>\frac{\mathrm{x}}{2}+\frac{3}{2}$

Solve the problem. -If Gloria received a 11 percent raise and is now making $\$ 22,200$ a year, what was her salary before the raise? Round to the nearest dollar if necessary.

Solve. - $6 r+2=56$

Solve using the addition and multiplication principles. - $-5 x-9 \geq-6 x-8$

Translate the sentence to an inequality. -A number is greater than -1 .

Solve. - $6(8 \mathrm{x}-1)=24$

Solve the problem. -Jim has gotten scores of 66 and 81 on his first two tests. What score must he get on his third test to keep an average of 75 or greater?

Solve using the multiplication principle. - $45=9 x$

Solve the problem. Round to the nearest tenth of a percent. -What percent of 7 is 0.03 ?

Solve the problem. -Andy left a $15 \%$ tip for a meal that cost $\$ 47$ . What was the total cost of the meal including the tip?

Solve. - $5[3-3(x+1)]+1=2(-39-x)+2 x+39$

Translate the sentence to an inequality. -The height of a member of the basketball team is at least 76 inches.

Solve the equation using the addition principle. - $b+3=6$

Solve using the multiplication principle. - $18=-2 k$

Solve the problem. -One side of a rectangle is 9 inches and the other side is $x$ inches. What values of $x$ will make the perimeter at most 46 ?

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

Equations of Lines and Simplifying Radical Expressions

Filters

Exam 2: Solving Equations and Inequalities

Solve. - 15(20x−25)=13(15x−12)\frac{1}{5}(20 x-25)=\frac{1}{3}(15 x-12)51​(20x−25)=31​(15x−12)

Solve the problem. -Jon has 813 points in his math class. He must have 72%72 \%72% of the 1400 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

Solve using the addition and multiplication principles. - 13x−3≤12x+513 x-3 \leq 12 x+513x−3≤12x+5

Solve the equation using the addition principle. - −7+x=18-7+\mathrm{x}=18−7+x=18

Solve. -Jordan sold his used snow plow and accessories for $539\$ 539$539 . If he received ten times as much money for the snow plow as he did for the accessories, how much did he receive for the snow plow?

Solve using the addition and multiplication principles. - 1−32x+3>x2+321-\frac{3}{2} \mathrm{x}+3>\frac{\mathrm{x}}{2}+\frac{3}{2}1−23​x+3>2x​+23​

Solve the problem. -If Gloria received a 11 percent raise and is now making $22,200\$ 22,200$22,200 a year, what was her salary before the raise? Round to the nearest dollar if necessary.

Solve. - 6r+2=566 r+2=566r+2=56

Solve using the addition and multiplication principles. - −5x−9≥−6x−8-5 x-9 \geq-6 x-8−5x−9≥−6x−8