Question 1

Solve.
-$178=14 \mathrm{x}+10$

Accepted Answer

A)  2 
B)  158 
C)  12 
D)  154 
A)  2 
B)  158 
C)  12 
D)  154

Question 2

Determine whether the given number is a solution of the inequality.
-$\mathrm{x} \leq-4,5$

Accepted Answer

A) True 
 B)False

Question 3

Solve.
-The height of the tallest building in Anne's home town is 719 feet, which is about 350 feet taller than the tallest building in Laurie's home town. What is the height of the tallest building in Laurie's home town?

Accepted Answer

A)  $482 \mathrm{ft}$ 
B)  $350 \mathrm{ft}$ 
C)  $1069 \mathrm{ft}$ 
D)  $369 \mathrm{ft}$ 
A)  $482 \mathrm{ft}$ 
B)  $350 \mathrm{ft}$ 
C)  $1069 \mathrm{ft}$ 
D)  $369 \mathrm{ft}$

Question 4

Solve.
-$(y-11)-(y+8)=4 y$

Accepted Answer

A)  $-\frac{19}{4}$ 
B)  $-\frac{3}{2}$ 
C)  $-\frac{19}{2}$ 
D)  $-\frac{3}{4}$ 
A)  $-\frac{19}{4}$ 
B)  $-\frac{3}{2}$ 
C)  $-\frac{19}{2}$ 
D)  $-\frac{3}{4}$

Question 5

Solve using the multiplication principle.
-$-\frac{1}{7} y=11$

Accepted Answer

A)  -18 
B)  -70 
C)  -77 
D)  -66 
A)  -18 
B)  -70 
C)  -77 
D)  -66

Question 6

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

Accepted Answer

A)  -1 
B)  No solution 
C)  All real numbers 
D)  2 
A)  -1 
B)  No solution 
C)  All real numbers 
D)  2

Question 7

Solve using the multiplication principle.
-$-\frac{3}{8} y=\frac{8}{9}$

Accepted Answer

A)  $-\frac{64}{9}$ 
B)  $\frac{64}{27}$ 
C)  $-\frac{27}{64}$ 
D)  $-\frac{64}{27}$ 
A)  $-\frac{64}{9}$ 
B)  $\frac{64}{27}$ 
C)  $-\frac{27}{64}$ 
D)  $-\frac{64}{27}$

Question 8

Solve using the addition principle. Graph and write set-builder notation for the answer.
-$x-\frac{2}{11} \geq-\frac{8}{11}$

Accepted Answer

A)  $\left\{x \mid x \leq-\frac{6}{11}\right\}$
  
B)  $\left\{|x| x-\frac{1}{11}\right\}$
  
A)  $\left\{x \mid x \leq-\frac{6}{11}\right\}$
  
B)  $\left\{|x| x-\frac{1}{11}\right\}$

Question 9

Solve.
-$4(5 g+33)-20 g-132=0$

Accepted Answer

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

Question 10

Solve the problem.
-One side of a rectangle is 12 inches and the other side is $x$ inches. What values of $x$ will make the perimeter at most 44 ?

Accepted Answer

A)  $x<10$ 
B)    
C)  $x \leq 10$ 
D)  $x \geq 10$ 
A)  $x<10$ 
B)    
C)  $x \leq 10$ 
D)  $x \geq 10$

Question 11

Solve the equation using the addition principle.
-$b+2=9$

Accepted Answer

A)  -7 
B)  7 
C)  -11 
D)  11 
A)  -7 
B)  7 
C)  -11 
D)  11

Question 12

Solve using the multiplication principle.
-$-3 b<\frac{1}{3}$

Accepted Answer

A) $\left\{b \mid b>\frac{1}{9}\right\}$ B) $\left\{b \mid b>-\frac{1}{9}\right\}$ C) $\left\{b \mid b<\frac{1}{9}\right\}$ D) $\left\{\right.$ b $\left.\mid b<-\frac{1}{9}\right\}$ A) $\left\{b \mid b>\frac{1}{9}\right\}$ B) $\left\{b \mid b>-\frac{1}{9}\right\}$ C) $\left\{b \mid b<\frac{1}{9}\right\}$ D) $\left\{\right.$ b $\left.\mid b<-\frac{1}{9}\right\}$

Question 13

Solve using the multiplication principle.
-$2 x \geq 10$

Accepted Answer

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

Question 14

Solve the problem.
-The sum of two consecutive integers is -387 . Find the larger integer.

Accepted Answer

A)  -195 
B)  -193 
C)  -194 
D)  -192 
A)  -195 
B)  -193 
C)  -194 
D)  -192

Question 15

Solve using the multiplication principle.
-$\frac{-t}{6}=15$

Accepted Answer

A)  -90 
B)  -21 
C)  -84 
D)  -75 
A)  -90 
B)  -21 
C)  -84 
D)  -75

Question 16

Translate the sentence to an inequality.
-The height of a member of the basketball team is at least 79 inches.

Accepted Answer

A) $x>79$ B) $x \leq 79$ C) $x \geq 79$ D) $\mathrm{x}<79$ A) $x>79$ B) $x \leq 79$ C) $x \geq 79$ D) $\mathrm{x}<79$

Question 17

Solve using the multiplication principle.
-$24=4 x$

Accepted Answer

A)  20 
B)  $\frac{1}{6}$ 
C)  96 
D)  6 
A)  20 
B)  $\frac{1}{6}$ 
C)  96 
D)  6

Question 18

Solve using the addition principle. Graph and write set-builder notation for the answer.
-6t - 1 $\ge$ 5t + 2

Accepted Answer

A) $\{t \mid t>6\}$ B) $\{t \mid t \geq 3\}$ C) $\{t \mid t<6\}$ D) $\{t \mid t \leq 3\}$ A) $\{t \mid t>6\}$ B) $\{t \mid t \geq 3\}$ C) $\{t \mid t<6\}$ D) $\{t \mid t \leq 3\}$

Question 19

Solve the problem.
-A car rental company has two rental rates. Rate 1 is $\$ 64$ per day plus $\$ .16$ per mile. Rate 2 is $\$ 128$ per day plus $\$ .08$ 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 5600 miles 
B)  more than 78,400 miles 
C)  more than 19,600 miles 
D)  more than 39,900 miles 
A)  more than 5600 miles 
B)  more than 78,400 miles 
C)  more than 19,600 miles 
D)  more than 39,900 miles

Question 20

Solve the problem. Round to the nearest tenth of a percent.
-What percent of 7 is 0.02 ?

Accepted Answer

A)  $0.3 \%$ 
B)  $2.9 \%$ 
C)  $350.0 \%$ 
D)  $28.6 \%$ 
A)  $0.3 \%$ 
B)  $2.9 \%$ 
C)  $350.0 \%$ 
D)  $28.6 \%$

Solve. - $178=14 \mathrm{x}+10$

Determine whether the given number is a solution of the inequality. - $\mathrm{x} \leq-4,5$

Solve. -The height of the tallest building in Anne's home town is 719 feet, which is about 350 feet taller than the tallest building in Laurie's home town. What is the height of the tallest building in Laurie's home town?

Solve. - $(y-11)-(y+8)=4 y$

Solve using the multiplication principle. - $-\frac{1}{7} y=11$

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

Solve using the multiplication principle. - $-\frac{3}{8} y=\frac{8}{9}$

Solve using the addition principle. Graph and write set-builder notation for the answer. - $x-\frac{2}{11} \geq-\frac{8}{11}$ $Solve using the addition principle. Graph and write set-builder notation for the answer. - x-\frac{2}{11} \geq-\frac{8}{11}$

Solve. - $4(5 g+33)-20 g-132=0$

Solve the problem. -One side of a rectangle is 12 inches and the other side is $x$ inches. What values of $x$ will make the perimeter at most 44 ?

Solve the equation using the addition principle. - $b+2=9$

Solve using the multiplication principle. - $-3 b<\frac{1}{3}$

Solve using the multiplication principle. - $2 x \geq 10$

Solve the problem. -The sum of two consecutive integers is -387 . Find the larger integer.

Solve using the multiplication principle. - $\frac{-t}{6}=15$

Translate the sentence to an inequality. -The height of a member of the basketball team is at least 79 inches.

Solve using the multiplication principle. - $24=4 x$

Solve using the addition principle. Graph and write set-builder notation for the answer. -6t - 1 $\ge$ 5t + 2 $Solve using the addition principle. Graph and write set-builder notation for the answer. -6t - 1 \ge 5t + 2$

Solve the problem. -A car rental company has two rental rates. Rate 1 is $\$ 64$ per day plus $\$ .16$ per mile. Rate 2 is $\$ 128$ per day plus $\$ .08$ 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 the problem. Round to the nearest tenth of a percent. -What percent of 7 is 0.02 ?

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. - 178=14x+10178=14 \mathrm{x}+10178=14x+10

Determine whether the given number is a solution of the inequality. - x≤−4,5\mathrm{x} \leq-4,5x≤−4,5