Question 1

Solve the problem.
-Two angles of a triangle are $40^{\circ}$ and $60^{\circ}$. What is the measure of the third angle?

Accepted Answer

A)  $-10^{\circ}$ 
B)  $80^{\circ}$ 
C)  $100^{\circ}$ 
D)  $260^{\circ}$ 
A)  $-10^{\circ}$ 
B)  $80^{\circ}$ 
C)  $100^{\circ}$ 
D)  $260^{\circ}$

Question 2

Solve. Clear fractions first.
-$\frac{4}{3} y-24=-16$

Accepted Answer

A)  6 
B)  30 
C)  1 
D)  -6 
A)  6 
B)  30 
C)  1 
D)  -6

Question 3

Solve the problem.
-During one year, the Green's real estate bill included $\$ 377$ for city services. The fire department received $35 \%$ of that amount. How much money went to the fire department?

Accepted Answer

A)  $\$ 111.95$ 
B)  $\$ 65.00$ 
C)  $\$ 131.95$ 
D)  $\$ 13.20$ 
A)  $\$ 111.95$ 
B)  $\$ 65.00$ 
C)  $\$ 131.95$ 
D)  $\$ 13.20$

Question 4

Solve using the multiplication principle.
-$-5 x<-30$

Accepted Answer

A)  $\{x \mid x>-6\}$ 
B)  $\{x \mid x6\}$ 
A)  $\{x \mid x>-6\}$ 
B)  $\{x \mid x6\}$

Question 5

Solve. Clear fractions first.
-$\frac{4}{5}+\frac{1}{6} x=10$

Accepted Answer

A)  $\frac{264}{5}$ 
B)  5 
C)  $\frac{36}{5}$ 
D)  $\frac{276}{5}$ 
A)  $\frac{264}{5}$ 
B)  5 
C)  $\frac{36}{5}$ 
D)  $\frac{276}{5}$

Question 6

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

Accepted Answer

A)  -54 
B)  1 
C)  54 
D)  -5 
A)  -54 
B)  1 
C)  54 
D)  -5

Question 7

Solve.
-$-8 x-5 x=-91$

Accepted Answer

A)  -7 
B)  -78 
C)  7 
D)  8 
A)  -7 
B)  -78 
C)  7 
D)  8

Question 8

Solve using the addition and multiplication principles.
-$-2-9 y-8 \geq-10 y-20$

Accepted Answer

A) $\{y \mid y>-9\}$ B) $\{y \mid y<-9\}$ C) $\{y \mid y \geq-10\}$ D) $\{y \mid y \leq-10\}$ A) $\{y \mid y>-9\}$ B) $\{y \mid y<-9\}$ C) $\{y \mid y \geq-10\}$ D) $\{y \mid y \leq-10\}$

Question 9

Solve.
-$6-4(x+3)=8-6(x+1)$

Accepted Answer

A)  18 
B)  12 
C)  6 
D)  4 
A)  18 
B)  12 
C)  6 
D)  4

Question 10

Solve using the addition and multiplication principles.
-$0.6 x+15+x>2 x+13-0.5 x$

Accepted Answer

A)  $\{x \mid x \geq 2\}$ 
B)  $\{x \mid x-20\}$ 
A)  $\{x \mid x \geq 2\}$ 
B)  $\{x \mid x-20\}$

Question 11

Solve using the multiplication principle.
-$8 b=-120$

Accepted Answer

A)  128 
B)  1 
C)  -128 
D)  -15 
A)  128 
B)  1 
C)  -128 
D)  -15

Question 12

Solve the problem. Round to the nearest tenth of a percent.
-954 is what percent of 1940 ?

Accepted Answer

A)  $0.1 \%$ 
B)  $0.5 \%$ 
C)  $49.2 \%$ 
D)  $203.4 \%$ 
A)  $0.1 \%$ 
B)  $0.5 \%$ 
C)  $49.2 \%$ 
D)  $203.4 \%$

Question 13

Decide if the given number is a solution to the given equation.
-$7 \mathrm{~m}+2=60 ; 8$

Accepted Answer

A) True 
 B)False

Question 14

Solve the equation using the addition principle.
-$14=-30+b$

Accepted Answer

A)  44 
B)  16 
C)  -16 
D)  -44 
A)  44 
B)  16 
C)  -16 
D)  -44

Question 15

Solve using the multiplication principle.
-$-x=8$

Accepted Answer

A)  $\frac{1}{8}$ 
B)  9 
C)  8 
D)  -8 
A)  $\frac{1}{8}$ 
B)  9 
C)  8 
D)  -8

Question 16

Solve.
-$6 r+4=58$

Accepted Answer

A)  5 
B)  9 
C)  52 
D)  48 
A)  5 
B)  9 
C)  52 
D)  48

Question 17

Solve using the multiplication principle.
-$-7 x=-42$

Accepted Answer

A)  35 
B)  6 
C)  2 
D)  -35 
A)  35 
B)  6 
C)  2 
D)  -35

Question 18

Solve using the addition principle. Graph and write set-builder notation for the answer.
-a $-12<-23$

Accepted Answer

A)  $\{\mathrm{a} \mid \mathrm{a}-11\}$
  
D)  $\{\mathrm{a} \mid \mathrm{a} \leq-11\}$
  
A)  $\{\mathrm{a} \mid \mathrm{a}-11\}$
  
D)  $\{\mathrm{a} \mid \mathrm{a} \leq-11\}$

Question 19

Solve the problem.
-On Monday, an investor bought 100 shares of stock. On Tuesday, the value of the shares went up $7 \%$. How much did the investor pay for the 100 shares if he sold them Wednesday morning for $\$ 1391$ ? Round to the nearest dollar if necessary.

Accepted Answer

A)  $\$ 1350$ 
B)  $\$ 1294$ 
C)  $\$ 1341$ 
D)  $\$ 1300$ 
A)  $\$ 1350$ 
B)  $\$ 1294$ 
C)  $\$ 1341$ 
D)  $\$ 1300$

Question 20

Solve.
-$-20 s-29+5(4 s+7)=0$

Accepted Answer

A)  1 
B)  4 
C)  All real numbers 
D)  No solution 
A)  1 
B)  4 
C)  All real numbers 
D)  No solution

Solve the problem. -Two angles of a triangle are $40^{\circ}$ and $60^{\circ}$ . What is the measure of the third angle?

Solve. Clear fractions first. - $\frac{4}{3} y-24=-16$

Solve the problem. -During one year, the Green's real estate bill included $\$ 377$ for city services. The fire department received $35 \%$ of that amount. How much money went to the fire department?

Solve using the multiplication principle. - $-5 x<-30$

Solve. Clear fractions first. - $\frac{4}{5}+\frac{1}{6} x=10$

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

Solve. - $-8 x-5 x=-91$

Solve using the addition and multiplication principles. - $-2-9 y-8 \geq-10 y-20$

Solve. - $6-4(x+3)=8-6(x+1)$

Solve using the addition and multiplication principles. - $0.6 x+15+x>2 x+13-0.5 x$

Solve using the multiplication principle. - $8 b=-120$

Solve the problem. Round to the nearest tenth of a percent. -954 is what percent of 1940 ?

Decide if the given number is a solution to the given equation. - $7 \mathrm{~m}+2=60 ; 8$

Solve the equation using the addition principle. - $14=-30+b$

Solve using the multiplication principle. - $-x=8$

Solve. - $6 r+4=58$

Solve using the multiplication principle. - $-7 x=-42$

Solve using the addition principle. Graph and write set-builder notation for the answer. -a $-12<-23$

Solve the problem. -On Monday, an investor bought 100 shares of stock. On Tuesday, the value of the shares went up $7 \%$ . How much did the investor pay for the 100 shares if he sold them Wednesday morning for $\$ 1391$ ? Round to the nearest dollar if necessary.

Solve. - $-20 s-29+5(4 s+7)=0$

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 the problem. -Two angles of a triangle are 40∘40^{\circ}40∘ and 60∘60^{\circ}60∘ . What is the measure of the third angle?

Solve. Clear fractions first. - 43y−24=−16\frac{4}{3} y-24=-1634​y−24=−16

Solve the problem. -During one year, the Green's real estate bill included $377\$ 377$377 for city services. The fire department received 35%35 \%35% of that amount. How much money went to the fire department?

Solve using the multiplication principle. - −5x<−30-5 x<-30−5x<−30

Solve. Clear fractions first. - 45+16x=10\frac{4}{5}+\frac{1}{6} x=1054​+61​x=10

Solve using the multiplication principle. - 45=−9k45=-9 k45=−9k

Solve. - −8x−5x=−91-8 x-5 x=-91−8x−5x=−91

Solve using the addition and multiplication principles. - −2−9y−8≥−10y−20-2-9 y-8 \geq-10 y-20−2−9y−8≥−10y−20

Solve. - 6−4(x+3)=8−6(x+1)6-4(x+3)=8-6(x+1)6−4(x+3)=8−6(x+1)

Solve using the addition and multiplication principles. - 0.6x+15+x>2x+13−0.5x0.6 x+15+x>2 x+13-0.5 x0.6x+15+x>2x+13−0.5x

Solve using the multiplication principle. - 8b=−1208 b=-1208b=−120