Question 1

Solve using the addition and multiplication principles.
-$7+2 x<-26$

Accepted Answer

A)  $\left\{x \mid x>\frac{19}{2}\right\}$ 
B)  $\left\{x \mid x-\frac{33}{2}\right\}$ 
A)  $\left\{x \mid x>\frac{19}{2}\right\}$ 
B)  $\left\{x \mid x-\frac{33}{2}\right\}$

Question 2

Translate the sentence to an inequality.
-The score on a test was between 87 and 68 .

Accepted Answer

A) B) $x>68$ C) D) $x<87$ A) B) $x>68$ C) D) $x<87$

Question 3

Solve.
-$4(6 x-1)=16$

Accepted Answer

A)  $\frac{17}{24}$ 
B)  $\frac{1}{2}$ 
C)  $\frac{5}{6}$ 
D)  $\frac{5}{8}$ 
A)  $\frac{17}{24}$ 
B)  $\frac{1}{2}$ 
C)  $\frac{5}{6}$ 
D)  $\frac{5}{8}$

Question 4

Solve the problem. Round to the nearest tenth of a percent.
-4.9 is what percent of 19.5 ?

Accepted Answer

A)  $398.0 \%$ 
B)  $4.0 \%$ 
C)  $0.3 \%$ 
D)  $25.1 \%$ 
A)  $398.0 \%$ 
B)  $4.0 \%$ 
C)  $0.3 \%$ 
D)  $25.1 \%$

Question 5

Solve.
-$V=\frac{1}{3} B h$ for $B$

Accepted Answer

A)  $B=\frac{h}{3 V}$ 
B)  $B=\frac{3 V}{h}$ 
C)  $B=\frac{3 h}{V}$ 
D)  $B=\frac{V}{3 h}$ 
A)  $B=\frac{h}{3 V}$ 
B)  $B=\frac{3 V}{h}$ 
C)  $B=\frac{3 h}{V}$ 
D)  $B=\frac{V}{3 h}$

Question 6

Solve.
-Bill needs an average of 85 on four tests in science to make the honor roll. What is the lowest score he can receive on the fourth test if his first three scores are 78, 80, and 94?

Accepted Answer

A)  84 
B)  85 
C)  88 
D)  84.3 
A)  84 
B)  85 
C)  88 
D)  84.3

Question 7

Decide if the given number is a solution to the given equation.
-$3 x=12 ; 6$

Accepted Answer

A) True 
 B)False

Question 8

Solve the problem.
-The color guard is making new triangular flags that must have a base of 18 inches to fit on their flagpoles. What is the maximum length of the triangular flags, if they want to use a maximum of 405 in. $^{2}$ of cloth?

Accepted Answer

A)  45 in. 
B)  90 in. 
C)  22.5 in. 
D)  47 in. 
A)  45 in. 
B)  90 in. 
C)  22.5 in. 
D)  47 in.

Question 9

Solve the problem.
-Find the measures of the supplementary angles.

Accepted Answer

A)  $96.25^{\circ}$ and $83.75^{\circ}$ 
B)  $202.5^{\circ}$ and $157.5^{\circ}$ 
C)  $101.25^{\circ}$ and $78.75^{\circ}$ 
D)  $50.63^{\circ}$ and $39.38^{\circ}$ 
A)  $96.25^{\circ}$ and $83.75^{\circ}$ 
B)  $202.5^{\circ}$ and $157.5^{\circ}$ 
C)  $101.25^{\circ}$ and $78.75^{\circ}$ 
D)  $50.63^{\circ}$ and $39.38^{\circ}$

Question 10

Solve using the addition and multiplication principles.
-$-3 z-8>-4 z-4$

Accepted Answer

A)  $\{\mathrm{z} \mid \mathrm{z}4\}$ 
C)  $\{z \mid z-12\}$ 
A)  $\{\mathrm{z} \mid \mathrm{z}4\}$ 
C)  $\{z \mid z-12\}$

Question 11

Solve using the addition and multiplication principles.
-$4-\frac{7}{2} x+3>\frac{x}{2}+1$

Accepted Answer

A) $\{x \mid x0\}$ C) $\{x \mid x>2\}$ D) $\left\{x \mid x<\frac{3}{2}\right\}$ A) $\{x \mid x0\}$ C) $\{x \mid x>2\}$ D) $\left\{x \mid x<\frac{3}{2}\right\}$

Question 12

Solve the problem.
-CopyMart charges $\$ 22$ plus $40 \$$ per copy to produce promotional brochures. How many brochures can Steve purchase if he has a budget of $\$ 62.40$ ? (Hint: $40 \$=\$ 0.40$ )

Accepted Answer

A)  111 brochures 
B)  12 brochures 
C)  42 brochures 
D)  101 brochures 
A)  111 brochures 
B)  12 brochures 
C)  42 brochures 
D)  101 brochures

Question 13

Solve the problem.
-A shop keeper is making a triangular sign for his store front, but he must keep the sign under $20 \mathrm{ft}^{2}$ to adhere to zoning laws. If the base of the sign is $20 \mathrm{ft}$, what is the maximum height of the triangular sign?

Accepted Answer

A)  $0.500 \mathrm{ft}$ 
B)  $1.00 \mathrm{ft}$ 
C)  $2.0 \mathrm{ft}$ 
D)  $20 \mathrm{ft}$ 
A)  $0.500 \mathrm{ft}$ 
B)  $1.00 \mathrm{ft}$ 
C)  $2.0 \mathrm{ft}$ 
D)  $20 \mathrm{ft}$

Question 14

Solve.
-$-6 x-25=-61$

Accepted Answer

A)  $\frac{43}{3}$ 
B)  -30 
C)  -6 
D)  6 
A)  $\frac{43}{3}$ 
B)  -30 
C)  -6 
D)  6

Question 15

Solve.
-$3(15 x-25)=5(15 x-9)$

Accepted Answer

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

Question 16

Solve. Clear fractions first.
-$\frac{4}{5}+4 y=3 y-\frac{9}{20}$

Accepted Answer

A)  $-\frac{7}{20}$ 
B)  $-\frac{5}{4}$ 
C)  $-\frac{13}{20}$ 
D)  $\frac{5}{28}$ 
A)  $-\frac{7}{20}$ 
B)  $-\frac{5}{4}$ 
C)  $-\frac{13}{20}$ 
D)  $\frac{5}{28}$

Question 17

Solve the problem.
-One side of a triangle is $3 \mathrm{~cm}$ shorter than the base, $x$. The other side is $5 \mathrm{~cm}$ longer than the base. What lengths of the base will allow the perimeter of the triangle to be at least $35 \mathrm{~cm}$ ?

Accepted Answer

A)  $x \leq 16$ 
B)  $x \geq 11$ 
C)  $x>8$ 
D)    
A)  $x \leq 16$ 
B)  $x \geq 11$ 
C)  $x>8$ 
D)

Question 18

Solve.
-$-7 \mathrm{n}-2=68$

Accepted Answer

A)  67 
B)  10 
C)  -10 
D)  -63 
A)  67 
B)  10 
C)  -10 
D)  -63

Question 19

Solve the problem.
-Brand $X$ copier has improved its copier so that it produces $25 \%$ more copies than its old model. If the old model ran 688 copies per hour, how many copies would the new model run? Round your answer to the nearest whole number.

Accepted Answer

A)  845 copies per hour 
B)  703 copies per hour 
C)  860 copies per hour 
D)  393 copies per hour 
A)  845 copies per hour 
B)  703 copies per hour 
C)  860 copies per hour 
D)  393 copies per hour

Question 20

Graph the inequality.
-$x \geq-6$

Accepted Answer

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

Solve using the addition and multiplication principles. - $7+2 x<-26$

Translate the sentence to an inequality. -The score on a test was between 87 and 68 .

Solve. - $4(6 x-1)=16$

Solve the problem. Round to the nearest tenth of a percent. -4.9 is what percent of 19.5 ?

Solve. - $V=\frac{1}{3} B h$ for $B$

Solve. -Bill needs an average of 85 on four tests in science to make the honor roll. What is the lowest score he can receive on the fourth test if his first three scores are 78, 80, and 94?

Decide if the given number is a solution to the given equation. - $3 x=12 ; 6$

Solve the problem. -The color guard is making new triangular flags that must have a base of 18 inches to fit on their flagpoles. What is the maximum length of the triangular flags, if they want to use a maximum of 405 in. $^{2}$ of cloth?

Solve the problem. -Find the measures of the supplementary angles.

Solve using the addition and multiplication principles. - $-3 z-8>-4 z-4$

Solve using the addition and multiplication principles. - $4-\frac{7}{2} x+3>\frac{x}{2}+1$

Solve the problem. -CopyMart charges $\$ 22$ plus $40 \$$ per copy to produce promotional brochures. How many brochures can Steve purchase if he has a budget of $\$ 62.40$ ? (Hint: $40 \$=\$ 0.40$ )

Solve the problem. -A shop keeper is making a triangular sign for his store front, but he must keep the sign under $20 \mathrm{ft}^{2}$ to adhere to zoning laws. If the base of the sign is $20 \mathrm{ft}$ , what is the maximum height of the triangular sign?

Solve. - $-6 x-25=-61$

Solve. - $3(15 x-25)=5(15 x-9)$

Solve. Clear fractions first. - $\frac{4}{5}+4 y=3 y-\frac{9}{20}$

Solve the problem. -One side of a triangle is $3 \mathrm{~cm}$ shorter than the base, $x$ . The other side is $5 \mathrm{~cm}$ longer than the base. What lengths of the base will allow the perimeter of the triangle to be at least $35 \mathrm{~cm}$ ?

Solve. - $-7 \mathrm{n}-2=68$

Solve the problem. -Brand $X$ copier has improved its copier so that it produces $25 \%$ more copies than its old model. If the old model ran 688 copies per hour, how many copies would the new model run? Round your answer to the nearest whole number.

Graph the inequality. - $x \geq-6$ $Graph the inequality. - x \geq-6$

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 using the addition and multiplication principles. - 7+2x<−267+2 x<-267+2x<−26