Question 1

Graph the inequality.
-$0 \leq x<4$

Accepted Answer

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

Question 2

Solve. Clear decimals first.
-$33.6 y-302.4=19.2 y-172.8$

Accepted Answer

A)  9 
B)  27 
C)  -27 
D)  -9 
A)  9 
B)  27 
C)  -27 
D)  -9

Question 3

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

Accepted Answer

A)  36 
B)  3 
C)  12 
D)  9 
A)  36 
B)  3 
C)  12 
D)  9

Question 4

Solve the equation using the addition principle.
-$4=m-28$

Accepted Answer

A)  24 
B)  -24 
C)  32 
D)  -32 
A)  24 
B)  -24 
C)  32 
D)  -32

Question 5

Solve the problem.
-Sarah left a $15 \%$ tip of $\$ 6.45$ for a meal. What was the cost of the meal before the tip?

Accepted Answer

A)  $\$ 49.45$ 
B)  $\$ 0.97$ 
C)  $\$ 12.90$ 
D)  $\$ 43.00$ 
A)  $\$ 49.45$ 
B)  $\$ 0.97$ 
C)  $\$ 12.90$ 
D)  $\$ 43.00$

Question 6

Solve the problem. Round to the nearest hundredth, if necessary.
-78 is $136 \%$ of what number?

Accepted Answer

A)  573.5 
B)  18,496 
C)  184.96 
D)  57.35 
A)  573.5 
B)  18,496 
C)  184.96 
D)  57.35

Question 7

Solve using the multiplication principle.
-$-52=-4 n$

Accepted Answer

A)  -48 
B)  48 
C)  13 
D)  2 
A)  -48 
B)  48 
C)  13 
D)  2

Question 8

Solve the equation using the addition principle.
-$\mathrm{m}-17.18=0$

Accepted Answer

A)  -16.18 
B)  16.18 
C)  -17.18 
D)  17.18 
A)  -16.18 
B)  16.18 
C)  -17.18 
D)  17.18

Question 9

Solve the problem.
-A baseball team played 163 complete games last season. They had 53 fewer wins than losses. How many games did the team win?

Accepted Answer

A)  163 games 
B)  55 games 
C)  108 games 
D)  53 games 
A)  163 games 
B)  55 games 
C)  108 games 
D)  53 games

Question 10

Solve.
-$5(2 f-31)=10 f-155$

Accepted Answer

A)  0 
B)  1 
C)  No solution 
D)  All real numbers 
A)  0 
B)  1 
C)  No solution 
D)  All real numbers

Question 11

Solve.
-$a+b=s+r$ for $r$

Accepted Answer

A)  $r=\frac{a+b}{s}$ 
B)  $r=a+b-s$ 
C)  $r=\frac{a}{s}+b$ 
D)  $r=s(a+b)$ 
A)  $r=\frac{a+b}{s}$ 
B)  $r=a+b-s$ 
C)  $r=\frac{a}{s}+b$ 
D)  $r=s(a+b)$

Question 12

Translate the sentence to an inequality.
-The cost is no more than $\$ 962.69$.

Accepted Answer

A) $x>962.69$ B) $x \leq 962.69$ C) $x \geq 962.69$ D) $x<962.69$ A) $x>962.69$ B) $x \leq 962.69$ C) $x \geq 962.69$ D) $x<962.69$

Question 13

Solve using the multiplication principle.
-$5 x=10$

Accepted Answer

A)  $\frac{1}{2}$ 
B)  50 
C)  2 
D)  5 
A)  $\frac{1}{2}$ 
B)  50 
C)  2 
D)  5

Question 14

Solve the problem.
-The price of a printer was reduced from $\$ 400$ to $\$ 240$. What was the percent of decrease?

Accepted Answer

A)  $66.7 \%$ 
B)  $45 \%$ 
C)  $60 \%$ 
D)  $40 \%$ 
A)  $66.7 \%$ 
B)  $45 \%$ 
C)  $60 \%$ 
D)  $40 \%$

Question 15

Solve.
-$27=5 x-3$

Accepted Answer

A)  29 
B)  6 
C)  8 
D)  25 
A)  29 
B)  6 
C)  8 
D)  25

Question 16

Solve using the multiplication principle.
-$\frac{4}{5} x=-\frac{8}{27}$

Accepted Answer

A)  $-\frac{15}{8}$ 
B)  $-\frac{8}{15}$ 
C)  $-\frac{10}{27}$ 
D)  $-\frac{5}{6}$ 
A)  $-\frac{15}{8}$ 
B)  $-\frac{8}{15}$ 
C)  $-\frac{10}{27}$ 
D)  $-\frac{5}{6}$

Question 17

Solve the problem.
-One side of a rectangle is 10 inches and the other side is $x$ inches. Find the value of $x$ if the area must be at least 90 square inches.

Accepted Answer

A)  $x \leq 9$ 
B)    
C)  $x=9$ 
D)  $x \geq 9$ 
A)  $x \leq 9$ 
B)    
C)  $x=9$ 
D)  $x \geq 9$

Question 18

Solve the problem.
-Find the length of a rectangular lot with a perimeter of 70 meters if the length is 5 meters more than the width. $(\mathrm{P}=2 \mathrm{~L}+2 \mathrm{~W})$

Accepted Answer

A)  $20 \mathrm{~m}$ 
B)  $40 \mathrm{~m}$ 
C)  $35 \mathrm{~m}$ 
D)  $15 \mathrm{~m}$ 
A)  $20 \mathrm{~m}$ 
B)  $40 \mathrm{~m}$ 
C)  $35 \mathrm{~m}$ 
D)  $15 \mathrm{~m}$

Question 19

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

Accepted Answer

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

Question 20

Graph the inequality.
-$\mathrm{x}<-4$

Accepted Answer

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

Graph the inequality. - $0 \leq x<4$ $Graph the inequality. - 0 \leq x<4$

Solve. Clear decimals first. - $33.6 y-302.4=19.2 y-172.8$

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

Solve the equation using the addition principle. - $4=m-28$

Solve the problem. -Sarah left a $15 \%$ tip of $\$ 6.45$ for a meal. What was the cost of the meal before the tip?

Solve the problem. Round to the nearest hundredth, if necessary. -78 is $136 \%$ of what number?

Solve using the multiplication principle. - $-52=-4 n$

Solve the equation using the addition principle. - $\mathrm{m}-17.18=0$

Solve the problem. -A baseball team played 163 complete games last season. They had 53 fewer wins than losses. How many games did the team win?

Solve. - $5(2 f-31)=10 f-155$

Solve. - $a+b=s+r$ for $r$

Translate the sentence to an inequality. -The cost is no more than $\$ 962.69$ .

Solve using the multiplication principle. - $5 x=10$

Solve the problem. -The price of a printer was reduced from $\$ 400$ to $\$ 240$ . What was the percent of decrease?

Solve. - $27=5 x-3$

Solve using the multiplication principle. - $\frac{4}{5} x=-\frac{8}{27}$

Solve the problem. -One side of a rectangle is 10 inches and the other side is $x$ inches. Find the value of $x$ if the area must be at least 90 square inches.

Solve the problem. -Find the length of a rectangular lot with a perimeter of 70 meters if the length is 5 meters more than the width. $(\mathrm{P}=2 \mathrm{~L}+2 \mathrm{~W})$

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

Graph the inequality. - $\mathrm{x}<-4$ $Graph the inequality. - \mathrm{x}<-4$

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

Graph the inequality. - 0≤x<40 \leq x<40≤x<4

Solve. Clear decimals first. - 33.6y−302.4=19.2y−172.833.6 y-302.4=19.2 y-172.833.6y−302.4=19.2y−172.8

Solve. Clear fractions first. - x+13x=12x+\frac{1}{3} x=12x+31​x=12

Solve the equation using the addition principle. - 4=m−284=m-284=m−28

Solve the problem. -Sarah left a 15%15 \%15% tip of $6.45\$ 6.45$6.45 for a meal. What was the cost of the meal before the tip?

Solve the problem. Round to the nearest hundredth, if necessary. -78 is 136%136 \%136% of what number?

Solve using the multiplication principle. - −52=−4n-52=-4 n−52=−4n

Solve the equation using the addition principle. - m−17.18=0\mathrm{m}-17.18=0m−17.18=0