Question 1

Solve. Clear decimals first.
-$12.8 \mathrm{t}+76.8=44.8 \mathrm{t}+268.8$

Accepted Answer

A)  6 
B)  30 
C)  -30 
D)  -6 
A)  6 
B)  30 
C)  -30 
D)  -6 D

Question 2

Solve the problem.
-During one year, the Schmidt's real estate bill included $\$ 246$ for miscellaneous services. Of this amount, $48 \%$ went to the library fund. How much money did the library receive?

Accepted Answer

A)  $\$ 93.48$ 
B)  $\$ 80.49$ 
C)  $\$ 118.08$ 
D)  $\$ 98.08$ 
A)  $\$ 93.48$ 
B)  $\$ 80.49$ 
C)  $\$ 118.08$ 
D)  $\$ 98.08$ C

Question 3

Solve. Clear decimals first.
-$1.7 \mathrm{x}+1.3=-74.3+10.1 \mathrm{x}$

Accepted Answer

A)  -84 
B)  9 
C)  7.7 
D)  7.5 
A)  -84 
B)  9 
C)  7.7 
D)  7.5 B

Question 4

Solve the problem.
-Jennifer's annual salary increased from $\$ 22,000$ to $\$ 49,000$ over the last five years. Find the percent increase in her salary during this time period. Round to the nearest tenth of a percent.

Accepted Answer

A)  $1.2 \%$ 
B)  $122.7 \%$ 
C)  $55.1 \%$ 
D)  $12.3 \%$ 
A)  $1.2 \%$ 
B)  $122.7 \%$ 
C)  $55.1 \%$ 
D)  $12.3 \%$

Question 5

Solve using the multiplication principle.
-$-4 \mathrm{k}<\frac{1}{3}$

Accepted Answer

A)  $\left\{\right.$ k| k $\left.-\frac{1}{12}\right\}$ 
C)  $\left\{\right.$ k| k $\left.\frac{1}{12}\right\}$ 
A)  $\left\{\right.$ k| k $\left.-\frac{1}{12}\right\}$ 
C)  $\left\{\right.$ k| k $\left.\frac{1}{12}\right\}$

Question 6

Solve using the multiplication principle.
-$\frac{7}{4} \mathrm{x}=52.85$

Accepted Answer

A)  -48.85 
B)  -23.2 
C)  -30.2 
D)  -20.45 
A)  -48.85 
B)  -23.2 
C)  -30.2 
D)  -20.45

Question 7

Graph the inequality.
-$-3 \leq x<1$

Accepted Answer

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

Question 8

Solve. Clear fractions first.
-$\frac{3}{4}+4 y=5 y-\frac{1}{12}$

Accepted Answer

A)  $\frac{5}{54}$ 
B)  $\frac{2}{3}$ 
C)  $\frac{5}{6}$ 
D)  $\frac{1}{3}$ 
A)  $\frac{5}{54}$ 
B)  $\frac{2}{3}$ 
C)  $\frac{5}{6}$ 
D)  $\frac{1}{3}$

Question 9

Solve the problem.
-A car rental company has two rental rates. Rate 1 is $\$ 63$ per day plus $\$ .14$ per mile. Rate 2 is $\$ 126$ per day plus $\$ .07$ per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2 ?

Accepted Answer

A)  more than 6300 miles 
B)  more than 88,200 miles 
C)  more than 22,050 miles 
D)  more than 44,800 miles 
A)  more than 6300 miles 
B)  more than 88,200 miles 
C)  more than 22,050 miles 
D)  more than 44,800 miles

Question 10

Solve using the addition principle. Graph and write set-builder notation for the answer.
-$9 t-2 \geq 8 t+3$

Accepted Answer

A) $\{t \mid t > 9\}$ B) $\{t \mid t < 9\}$ C) $\{t \mid t \geq 5\}$ D) $\{t \mid t \leq 5\}$ A) $\{t \mid t > 9\}$ B) $\{t \mid t < 9\}$ C) $\{t \mid t \geq 5\}$ D) $\{t \mid t \leq 5\}$

Question 11

Solve the equation using the addition principle.
-$\mathrm{x}-19.33=0$

Accepted Answer

A)  19.33 
B)  18.33 
C)  -19.33 
D)  -18.33 
A)  19.33 
B)  18.33 
C)  -19.33 
D)  -18.33

Question 12

Solve using the addition and multiplication principles.
-$3 y-9 \geq 4 y+3$

Accepted Answer

A)  $\{y \mid y \geq 12\}$ 
B)  $\{y \mid y>3\}$ 
C)  $\{y \mid y \leq 3\}$ 
D)  $\{\mathrm{y} \mid \mathrm{y} \leq-12\}$ 
A)  $\{y \mid y \geq 12\}$ 
B)  $\{y \mid y>3\}$ 
C)  $\{y \mid y \leq 3\}$ 
D)  $\{\mathrm{y} \mid \mathrm{y} \leq-12\}$

Question 13

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 950 students?

Accepted Answer

A)  About 9 students 
B)  About 171 students 
C)  About 342 students 
D)  About 86 students 
A)  About 9 students 
B)  About 171 students 
C)  About 342 students 
D)  About 86 students

Question 14

Solve using the multiplication principle.
-$-5.8 y=46.4$

Accepted Answer

A)  $-\frac{1}{8}$ 
B)  -40.6 
C)  -38.4 
D)  -8 
A)  $-\frac{1}{8}$ 
B)  -40.6 
C)  -38.4 
D)  -8

Question 15

Solve. Clear decimals first.
-$1.3 y+3.4=0.6 y-1.15$

Accepted Answer

A)  -6.5 
B)  0.154 
C)  -6.49 
D)  -6.435 
A)  -6.5 
B)  0.154 
C)  -6.49 
D)  -6.435

Question 16

Solve using the multiplication principle.
-$45.8 t=-641.2$

Accepted Answer

A)  -627.2 
B)  $-\frac{1}{14}$ 
C)  -14 
D)  -595.4 
A)  -627.2 
B)  $-\frac{1}{14}$ 
C)  -14 
D)  -595.4

Question 17

Determine whether the given number is a solution of the inequality.
-$x>-12,-4.69$

Accepted Answer

A) True 
 B)False

Question 18

Evaluate the formula for the given values of the variables.
-$P=2 L+2 W ; L=7$ in., $W=6$ in.

Accepted Answer

A)  $\mathrm{P}=84$ in. 
B)  $\mathrm{P}=13$ in. 
C)  $\mathrm{P}=26$ in. 
D)  $\mathrm{P}=168$ in. 
A)  $\mathrm{P}=84$ in. 
B)  $\mathrm{P}=13$ in. 
C)  $\mathrm{P}=26$ in. 
D)  $\mathrm{P}=168$ in.

Question 19

Solve.
-$3(8 \mathrm{x}-20)=4(15 \mathrm{x}-6)$

Accepted Answer

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

Question 20

Solve. Clear fractions first.
-$x+\frac{4}{3}+\frac{5}{8} x=\frac{5}{2}+\frac{5}{4} x$

Accepted Answer

A)  $\frac{28}{19}$ 
B)  $\frac{28}{9}$ 
C)  $\frac{32}{19}$ 
D)  $\frac{11}{3}$ 
A)  $\frac{28}{19}$ 
B)  $\frac{28}{9}$ 
C)  $\frac{32}{19}$ 
D)  $\frac{11}{3}$

Solve. Clear decimals first. - $12.8 \mathrm{t}+76.8=44.8 \mathrm{t}+268.8$

Solve the problem. -During one year, the Schmidt's real estate bill included $\$ 246$ for miscellaneous services. Of this amount, $48 \%$ went to the library fund. How much money did the library receive?

Solve. Clear decimals first. - $1.7 \mathrm{x}+1.3=-74.3+10.1 \mathrm{x}$

Solve the problem. -Jennifer's annual salary increased from $\$ 22,000$ to $\$ 49,000$ over the last five years. Find the percent increase in her salary during this time period. Round to the nearest tenth of a percent.

Solve using the multiplication principle. - $-4 \mathrm{k}<\frac{1}{3}$

Solve using the multiplication principle. - $\frac{7}{4} \mathrm{x}=52.85$

Graph the inequality. - $-3 \leq x<1$ $Graph the inequality. - -3 \leq x<1$

Solve. Clear fractions first. - $\frac{3}{4}+4 y=5 y-\frac{1}{12}$

Solve the problem. -A car rental company has two rental rates. Rate 1 is $\$ 63$ per day plus $\$ .14$ per mile. Rate 2 is $\$ 126$ per day plus $\$ .07$ per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2 ?

Solve using the addition principle. Graph and write set-builder notation for the answer. - $9 t-2 \geq 8 t+3$ $Solve using the addition principle. Graph and write set-builder notation for the answer. - 9 t-2 \geq 8 t+3$

Solve the equation using the addition principle. - $\mathrm{x}-19.33=0$

Solve using the addition and multiplication principles. - $3 y-9 \geq 4 y+3$

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 950 students?

Solve using the multiplication principle. - $-5.8 y=46.4$

Solve. Clear decimals first. - $1.3 y+3.4=0.6 y-1.15$

Solve using the multiplication principle. - $45.8 t=-641.2$

Determine whether the given number is a solution of the inequality. - $x>-12,-4.69$

Evaluate the formula for the given values of the variables. - $P=2 L+2 W ; L=7$ in., $W=6$ in.

Solve. - $3(8 \mathrm{x}-20)=4(15 \mathrm{x}-6)$

Solve. Clear fractions first. - $x+\frac{4}{3}+\frac{5}{8} x=\frac{5}{2}+\frac{5}{4} x$

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. Clear decimals first. - 12.8t+76.8=44.8t+268.812.8 \mathrm{t}+76.8=44.8 \mathrm{t}+268.812.8t+76.8=44.8t+268.8

Solve the problem. -During one year, the Schmidt's real estate bill included $246\$ 246$246 for miscellaneous services. Of this amount, 48%48 \%48% went to the library fund. How much money did the library receive?

Solve. Clear decimals first. - 1.7x+1.3=−74.3+10.1x1.7 \mathrm{x}+1.3=-74.3+10.1 \mathrm{x}1.7x+1.3=−74.3+10.1x

Solve the problem. -Jennifer's annual salary increased from $22,000\$ 22,000$22,000 to $49,000\$ 49,000$49,000 over the last five years. Find the percent increase in her salary during this time period. Round to the nearest tenth of a percent.

Solve using the multiplication principle. - −4k<13-4 \mathrm{k}<\frac{1}{3}−4k<31​

Solve using the multiplication principle. - 74x=52.85\frac{7}{4} \mathrm{x}=52.8547​x=52.85

Graph the inequality. - −3≤x<1-3 \leq x<1−3≤x<1

Solve. Clear fractions first. - 34+4y=5y−112\frac{3}{4}+4 y=5 y-\frac{1}{12}43​+4y=5y−121​

Solve the problem. -A car rental company has two rental rates. Rate 1 is $63\$ 63$63 per day plus $.14\$ .14$.14 per mile. Rate 2 is $126\$ 126$126 per day plus $.07\$ .07$.07 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2 ?

Solve using the addition principle. Graph and write set-builder notation for the answer. - 9t−2≥8t+39 t-2 \geq 8 t+39t−2≥8t+3

Solve the equation using the addition principle. - x−19.33=0\mathrm{x}-19.33=0x−19.33=0

Solve using the addition and multiplication principles. - 3y−9≥4y+33 y-9 \geq 4 y+33y−9≥4y+3