Question 1

Translate the sentence to an inequality.
-John weighs at least 107 pounds.

Accepted Answer

A)  $x \leq 107$ 
B)  $x \geq 107$ 
C)  $x107$ 
A)  $x \leq 107$ 
B)  $x \geq 107$ 
C)  $x107$

Question 2

Solve using the multiplication principle.
-$\frac{x}{2}=14$

Accepted Answer

A)  28 
B)  14 
C)  26 
D)  16 
A)  28 
B)  14 
C)  26 
D)  16

Question 3

Solve the problem.
-During one year, the Schmidt's real estate bill included $\$ 238$ for miscellaneous services. Of this amount, $27 \%$ went to the library fund. How much money did the library receive?

Accepted Answer

A)  $\$ 40.46$ 
B)  $\$ 64.26$ 
C)  $\$ 88.66$ 
D)  $\$ 44.26$ 
A)  $\$ 40.46$ 
B)  $\$ 64.26$ 
C)  $\$ 88.66$ 
D)  $\$ 44.26$

Question 4

Solve.
-$-3 a+4+4 a=9-30$

Accepted Answer

A)  25 
B)  43 
C)  -25 
D)  -43 
A)  25 
B)  43 
C)  -25 
D)  -43

Question 5

Solve.
-The area of Mark's backyard is about 5 times the area of Jon's backyard. The area of Mark's backyard is $3590 \mathrm{ft}^{2}$. What is the area of Jon's backyard?

Accepted Answer

A)  $3590 \mathrm{ft}^{2}$ 
B)  $3585 \mathrm{ft}^{2}$ 
C)  $831 \mathrm{ft}^{2}$ 
D)  $718 \mathrm{ft}^{2}$ 
A)  $3590 \mathrm{ft}^{2}$ 
B)  $3585 \mathrm{ft}^{2}$ 
C)  $831 \mathrm{ft}^{2}$ 
D)  $718 \mathrm{ft}^{2}$

Question 6

Solve the problem.
-DG's Plumbing and Heating charges $\$ 50$ plus $\$ 70$ per hour for emergency service. Bill remembers being billed just over $\$ 200$ for an emergency call. How long to the nearest hour was the plumber at Bill's house?

Accepted Answer

A)  13 hours 
B)  4 hours 
C)  2 hours 
D)  15 hours 
A)  13 hours 
B)  4 hours 
C)  2 hours 
D)  15 hours

Question 7

Solve the problem. Round to the nearest hundredth, if necessary.
-$10 \%$ of what number is 71 ?

Accepted Answer

A)  710 
B)  7100 
C)  7.1 
D)  71 
A)  710 
B)  7100 
C)  7.1 
D)  71

Question 8

Solve the problem.
-One side of a rectangle is 2 times the other, and the perimeter is not to exceed 54. Find the possible values for $x$, the length of the shorter side.

Accepted Answer

A)  $x \leq 9$ 
B)     
C)  $x \geq 18$ 
D)    
A)  $x \leq 9$ 
B)     
C)  $x \geq 18$ 
D)

Question 9

Evaluate the formula for the given values of the variables.
-When all $n$ teams in a league play every other team twice, a total of $N$ games are played, where $\mathrm{N}=\mathrm{n}^{2}-\mathrm{n}$. A basketball league has 7 teams and all teams play each other twice. How many games are played?

Accepted Answer

A)  7 games 
B)  42 games 
C)  56 games 
D)  21 games 
A)  7 games 
B)  42 games 
C)  56 games 
D)  21 games

Question 10

Solve using the multiplication principle.
-$-4.2 y=29.4$

Accepted Answer

A)  $-\frac{1}{7}$ 
B)  -25.2 
C)  -22.4 
D)  -7 
A)  $-\frac{1}{7}$ 
B)  -25.2 
C)  -22.4 
D)  -7

Question 11

Solve the problem.
-If the formula $P=0.5643 Y-1092.57$ can be used to predict the average price of a theater ticket after 1945, for what years will the average theater ticket price be at least 48 dollars? ( $Y$ is the actual year.)

Accepted Answer

A)  2032 or after 
B)  2020 or after 
C)  2024 or after 
D)  2022 or after 
A)  2032 or after 
B)  2020 or after 
C)  2024 or after 
D)  2022 or after

Question 12

Evaluate the formula for the given values of the variables.
-$\mathrm{d}=\mathrm{rt} ; \mathrm{r}=52$ miles per hour, $\mathrm{t}=3$ hours

Accepted Answer

A)  $d=312$ miles 
B)  $d=\frac{52}{3}$ miles 
C)  $d=156$ miles 
D)  $d=55$ miles 
A)  $d=312$ miles 
B)  $d=\frac{52}{3}$ miles 
C)  $d=156$ miles 
D)  $d=55$ miles

Question 13

Solve. Clear fractions first.
-$x+\frac{4}{3}+\frac{9}{8} x=\frac{7}{2}+\frac{3}{4} x$

Accepted Answer

A)  $\frac{52}{33}$ 
B)  $\frac{59}{33}$ 
C)  $\frac{4}{3}$ 
D)  $\frac{56}{39}$ 
A)  $\frac{52}{33}$ 
B)  $\frac{59}{33}$ 
C)  $\frac{4}{3}$ 
D)  $\frac{56}{39}$

Question 14

Solve using the multiplication principle.
-$-\frac{8}{9} y=-\frac{4}{15}$

Accepted Answer

A)  $\frac{3}{10}$ 
B)  $\frac{15}{8}$ 
C)  $\frac{8}{15}$ 
D)  $\frac{6}{5}$ 
A)  $\frac{3}{10}$ 
B)  $\frac{15}{8}$ 
C)  $\frac{8}{15}$ 
D)  $\frac{6}{5}$

Question 15

Solve.
-$A=\frac{1}{2} b h$ for $b$

Accepted Answer

A)  $b=\frac{h}{2 A}$ 
B)  $b=\frac{2 A}{h}$ 
C)  $b=\frac{A h}{2}$ 
D)  $b=\frac{A}{2 h}$ 
A)  $b=\frac{h}{2 A}$ 
B)  $b=\frac{2 A}{h}$ 
C)  $b=\frac{A h}{2}$ 
D)  $b=\frac{A}{2 h}$

Question 16

Solve using the multiplication principle.
-$6 x \leq-18$

Accepted Answer

A)  $\{x \mid x \leq 3\}$ 
B)  $\{x \mid x \geq 3\}$ 
C)  $\{x \mid x \leq-3\}$ 
D)  $\{x \mid x \geq-3\}$ 
A)  $\{x \mid x \leq 3\}$ 
B)  $\{x \mid x \geq 3\}$ 
C)  $\{x \mid x \leq-3\}$ 
D)  $\{x \mid x \geq-3\}$

Question 17

Solve the problem.
-Stevie bought a stereo for $\$ 245$ and put it on sale at his store at a $65 \%$ markup rate. What was the retail price of the stereo? Round to the nearest cent if necessary.

Accepted Answer

A)  $\$ 490.00$ 
B)  $\$ 345.00$ 
C)  $\$ 404.25$ 
D)  $\$ 304.25$ 
A)  $\$ 490.00$ 
B)  $\$ 345.00$ 
C)  $\$ 404.25$ 
D)  $\$ 304.25$

Question 18

Decide if the given number is a solution to the given equation.
-$4 \mathrm{p}+2 \mathrm{p}-7=47 ; \quad 9$

Accepted Answer

A) True 
 B)False

Question 19

Solve. Clear fractions first.
-$\frac{1}{6} y-3=4$

Accepted Answer

A)  44 
B)  -42 
C)  -44 
D)  42 
A)  44 
B)  -42 
C)  -44 
D)  42

Question 20

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

Accepted Answer

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

Translate the sentence to an inequality. -John weighs at least 107 pounds.

Solve using the multiplication principle. - $\frac{x}{2}=14$

Solve the problem. -During one year, the Schmidt's real estate bill included $\$ 238$ for miscellaneous services. Of this amount, $27 \%$ went to the library fund. How much money did the library receive?

Solve. - $-3 a+4+4 a=9-30$

Solve. -The area of Mark's backyard is about 5 times the area of Jon's backyard. The area of Mark's backyard is $3590 \mathrm{ft}^{2}$ . What is the area of Jon's backyard?

Solve the problem. -DG's Plumbing and Heating charges $\$ 50$ plus $\$ 70$ per hour for emergency service. Bill remembers being billed just over $\$ 200$ for an emergency call. How long to the nearest hour was the plumber at Bill's house?

Solve the problem. Round to the nearest hundredth, if necessary. - $10 \%$ of what number is 71 ?

Solve the problem. -One side of a rectangle is 2 times the other, and the perimeter is not to exceed 54. Find the possible values for $x$ , the length of the shorter side.

Evaluate the formula for the given values of the variables. -When all $n$ teams in a league play every other team twice, a total of $N$ games are played, where $\mathrm{N}=\mathrm{n}^{2}-\mathrm{n}$ . A basketball league has 7 teams and all teams play each other twice. How many games are played?

Solve using the multiplication principle. - $-4.2 y=29.4$

Solve the problem. -If the formula $P=0.5643 Y-1092.57$ can be used to predict the average price of a theater ticket after 1945, for what years will the average theater ticket price be at least 48 dollars? ( $Y$ is the actual year.)

Evaluate the formula for the given values of the variables. - $\mathrm{d}=\mathrm{rt} ; \mathrm{r}=52$ miles per hour, $\mathrm{t}=3$ hours

Solve. Clear fractions first. - $x+\frac{4}{3}+\frac{9}{8} x=\frac{7}{2}+\frac{3}{4} x$

Solve using the multiplication principle. - $-\frac{8}{9} y=-\frac{4}{15}$

Solve. - $A=\frac{1}{2} b h$ for $b$

Solve using the multiplication principle. - $6 x \leq-18$

Solve the problem. -Stevie bought a stereo for $\$ 245$ and put it on sale at his store at a $65 \%$ markup rate. What was the retail price of the stereo? Round to the nearest cent if necessary.

Decide if the given number is a solution to the given equation. - $4 \mathrm{p}+2 \mathrm{p}-7=47 ; \quad 9$

Solve. Clear fractions first. - $\frac{1}{6} y-3=4$

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

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

Translate the sentence to an inequality. -John weighs at least 107 pounds.

Solve using the multiplication principle. - x2=14\frac{x}{2}=142x​=14

Solve the problem. -During one year, the Schmidt's real estate bill included $238\$ 238$238 for miscellaneous services. Of this amount, 27%27 \%27% went to the library fund. How much money did the library receive?

Solve. - −3a+4+4a=9−30-3 a+4+4 a=9-30−3a+4+4a=9−30

Solve. -The area of Mark's backyard is about 5 times the area of Jon's backyard. The area of Mark's backyard is 3590ft23590 \mathrm{ft}^{2}3590ft2 . What is the area of Jon's backyard?

Solve the problem. -DG's Plumbing and Heating charges $50\$ 50$50 plus $70\$ 70$70 per hour for emergency service. Bill remembers being billed just over $200\$ 200$200 for an emergency call. How long to the nearest hour was the plumber at Bill's house?

Solve the problem. Round to the nearest hundredth, if necessary. - 10%10 \%10% of what number is 71 ?

Solve the problem. -One side of a rectangle is 2 times the other, and the perimeter is not to exceed 54. Find the possible values for xxx , the length of the shorter side.

Solve using the multiplication principle. - −4.2y=29.4-4.2 y=29.4−4.2y=29.4

Solve the problem. -If the formula P=0.5643Y−1092.57P=0.5643 Y-1092.57P=0.5643Y−1092.57 can be used to predict the average price of a theater ticket after 1945, for what years will the average theater ticket price be at least 48 dollars? ( YYY is the actual year.)

Evaluate the formula for the given values of the variables. - d=rt;r=52\mathrm{d}=\mathrm{rt} ; \mathrm{r}=52d=rt;r=52 miles per hour, t=3\mathrm{t}=3t=3 hours

Solve. Clear fractions first. - x+43+98x=72+34xx+\frac{4}{3}+\frac{9}{8} x=\frac{7}{2}+\frac{3}{4} xx+34​+89​x=27​+43​x

Solve using the multiplication principle. - −89y=−415-\frac{8}{9} y=-\frac{4}{15}−98​y=−154​

Solve. - A=12bhA=\frac{1}{2} b hA=21​bh for bbb

Solve using the multiplication principle. - 6x≤−186 x \leq-186x≤−18

Solve the problem. -Stevie bought a stereo for $245\$ 245$245 and put it on sale at his store at a 65%65 \%65% markup rate. What was the retail price of the stereo? Round to the nearest cent if necessary.

Decide if the given number is a solution to the given equation. - 4p+2p−7=47;94 \mathrm{p}+2 \mathrm{p}-7=47 ; \quad 94p+2p−7=47;9

Solve. Clear fractions first. - 16y−3=4\frac{1}{6} y-3=461​y−3=4

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