Question 1

Solve the equation using the addition principle.
-$x+1 \frac{2}{3}=4$

Accepted Answer

A)  $\frac{7}{3}$ 
B)  $\frac{11}{3}$ 
C)  $\frac{17}{3}$ 
D)  7 
A)  $\frac{7}{3}$ 
B)  $\frac{11}{3}$ 
C)  $\frac{17}{3}$ 
D)  7

Question 2

Solve the problem.
-After spending $\$ 2550$ for tables and $\$ 3250$ for chairs a convention center manager finds that the furniture cost $5 \%$ more than last year. Find the amount that he spent last year on tables and chairs. Round your answer to the nearest dollar.

Accepted Answer

A)  $\$ 290$ 
B)  $\$ 3421$ 
C)  $\$ 5524$ 
D)  $\$ 6105$ 
A)  $\$ 290$ 
B)  $\$ 3421$ 
C)  $\$ 5524$ 
D)  $\$ 6105$

Question 3

Solve.
-A car rental business rents a compact car at a daily rate of $\$ 25.20$ plus $20 \phi$ per mile. Mike can afford to spend $\$ 71$ on the car rental for one day. How many miles can he drive and stay within his budget? (Hint: $20 \phi=\$ 0.20$ )

Accepted Answer

A)  $229 \mathrm{mi}$ 
B)  $234 \mathrm{mi}$ 
C)  $219 \mathrm{mi}$ 
D)  $224 \mathrm{mi}$ 
A)  $229 \mathrm{mi}$ 
B)  $234 \mathrm{mi}$ 
C)  $219 \mathrm{mi}$ 
D)  $224 \mathrm{mi}$

Question 4

Solve the problem. Round to the nearest hundredth, if necessary.
-What is $33 \%$ of 1955 ?

Accepted Answer

A)  64.52 
B)  6451.5 
C)  64,515 
D)  645.15 
A)  64.52 
B)  6451.5 
C)  64,515 
D)  645.15

Question 5

Solve the problem.
-Every basketball season Pam competes in a free throw contest. This year Pam was successful at 0.6 of her free throws. If she succeeded at 9 free throws, how many free throws did she attempt?

Accepted Answer

A)  54 free throws 
B)  900.6 free throws 
C)  5.4 free throws 
D)  15 free throws 
A)  54 free throws 
B)  900.6 free throws 
C)  5.4 free throws 
D)  15 free throws

Question 6

Determine whether the given number is a solution of the inequality.
-$\mathrm{x} \leq 3,-9$

Accepted Answer

A) True 
 B)False

Question 7

Translate the sentence to an inequality.
-The cost is no more than $\$ 393.90$.

Accepted Answer

A)  $x \geq 393.90$ 
B)  $\mathrm{x}393.90$ 
A)  $x \geq 393.90$ 
B)  $\mathrm{x}393.90$

Question 8

Solve the problem.
-A salesperson has two job offers. Company A offers a weekly salary of $\$ 720$ plus commission of $16 \%$ of sales. Company B offers a weekly salary of $\$ 1440$ plus commission of $8 \%$ of sales. What is the amount of sales above which Company A's offer is the better of the two?

Accepted Answer

A)  $\$ 9100$ 
B)  $\$ 4500$ 
C)  $\$ 18,000$ 
D)  $\$ 9000$ 
A)  $\$ 9100$ 
B)  $\$ 4500$ 
C)  $\$ 18,000$ 
D)  $\$ 9000$

Question 9

Solve.
-A city government budgeted $\$ 27.7$ million for public transportation. This was $\$ 13.1$ million more than was budgeted for parks and recreation. How much was budgeted for parks and recreation?

Accepted Answer

A)  $ 15.6 million 
B)  $18.6 million 
C)  $14.1 million 
D)  $14.6 million 
A)  $ 15.6 million 
B)  $18.6 million 
C)  $14.1 million 
D)  $14.6 million

Question 10

Solve the problem. Round to the nearest tenth of a percent.
-3.5 is what percent of 17.8 ?

Accepted Answer

A)  $0.2 \%$ 
B)  $508.6 \%$ 
C)  $19.7 \%$ 
D)  $5.1 \%$ 
A)  $0.2 \%$ 
B)  $508.6 \%$ 
C)  $19.7 \%$ 
D)  $5.1 \%$

Question 11

Solve the problem. Round to the nearest tenth of a percent.
-What percent of 2434 is 17 ?

Accepted Answer

A)  $7.0 \%$ 
B)  $17.0 \%$ 
C)  $14,317.6 \%$ 
D)  $0.7 \%$ 
A)  $7.0 \%$ 
B)  $17.0 \%$ 
C)  $14,317.6 \%$ 
D)  $0.7 \%$

Question 12

Solve using the multiplication principle.
-$-7.3 m=-21.9$

Accepted Answer

A)  14.6 
B)  3 
C)  $\frac{1}{3}$ 
D)  18.9 
A)  14.6 
B)  3 
C)  $\frac{1}{3}$ 
D)  18.9

Question 13

Solve using the multiplication principle.
-$\frac{-t}{8}=11$

Accepted Answer

A)  -80 
B)  -77 
C)  -19 
D)  - 88 
A)  -80 
B)  -77 
C)  -19 
D)  - 88

Question 14

Solve the problem.
-A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 54 marbles in it. At least how many green marbles does it have?

Accepted Answer

A)  At least 19 green marbles 
B)  At least 36 green marbles 
C)  At least 18 green marbles 
D)  At least 27 green marbles 
A)  At least 19 green marbles 
B)  At least 36 green marbles 
C)  At least 18 green marbles 
D)  At least 27 green marbles

Question 15

Solve.
-A 243-foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 3 times as long as the second. How long is each piece of rope?

Accepted Answer

A)  First: $30 \mathrm{ft}$; second: $61 \mathrm{ft}$; third: $152 \mathrm{ft}$ 
B)  First: $41 \mathrm{ft}$; second: $81 \mathrm{ft}$; third: $243 \mathrm{ft}$ 
C)  First: $27 \mathrm{ft}$; second: $54 \mathrm{ft}$; thind: $162 \mathrm{ft}$ 
D)  First: $30 \mathrm{ft}$; second: $61 \mathrm{ft}$; third: $182 \mathrm{ft}$ 
A)  First: $30 \mathrm{ft}$; second: $61 \mathrm{ft}$; third: $152 \mathrm{ft}$ 
B)  First: $41 \mathrm{ft}$; second: $81 \mathrm{ft}$; third: $243 \mathrm{ft}$ 
C)  First: $27 \mathrm{ft}$; second: $54 \mathrm{ft}$; thind: $162 \mathrm{ft}$ 
D)  First: $30 \mathrm{ft}$; second: $61 \mathrm{ft}$; third: $182 \mathrm{ft}$

Question 16

Solve the equation using the addition principle.
-$-19.5=24.5+x$

Accepted Answer

A)  5 
B)  44 
C)  -44 
D)  -5 
A)  5 
B)  44 
C)  -44 
D)  -5

Question 17

Solve. Clear fractions first.
-$\frac{11}{10} \mathrm{x}+\frac{1}{10} \mathrm{x}=7 \mathrm{x}+\frac{1}{5}+\frac{9}{10} \mathrm{x}$

Accepted Answer

A)  $-\frac{1}{67}$ 
B)  $\frac{1}{67}$ 
C)  $\frac{2}{73}$ 
D)  $-\frac{2}{67}$ 
A)  $-\frac{1}{67}$ 
B)  $\frac{1}{67}$ 
C)  $\frac{2}{73}$ 
D)  $-\frac{2}{67}$

Question 18

Solve.
-$\frac{1}{5} \mathrm{f}-5=1$

Accepted Answer

A)  -30 
B)  -8 
C)  8 
D)  30 
A)  -30 
B)  -8 
C)  8 
D)  30

Question 19

Solve. Clear decimals first.
-$6.96 \mathrm{x}+48.72=2.32 \mathrm{x}+16.24$

Accepted Answer

A)  -7 
B)  -28 
C)  7 
D)  28 
A)  -7 
B)  -28 
C)  7 
D)  28

Question 20

Solve the problem.
-CopyMart charges $\$ 28$ plus $44 \$$ per copy to produce promotional brochures. How many brochures can Steve purchase if he has a budget of $\$ 89.16$ ? (Hint: $44 \phi=\$ 0.44$ )

Accepted Answer

A)  139 brochures 
B)  18 brochures 
C)  149 brochures 
D)  48 brochures 
A)  139 brochures 
B)  18 brochures 
C)  149 brochures 
D)  48 brochures

Solve the equation using the addition principle. - $x+1 \frac{2}{3}=4$

Solve the problem. -After spending $\$ 2550$ for tables and $\$ 3250$ for chairs a convention center manager finds that the furniture cost $5 \%$ more than last year. Find the amount that he spent last year on tables and chairs. Round your answer to the nearest dollar.

Solve. -A car rental business rents a compact car at a daily rate of $\$ 25.20$ plus $20 \phi$ per mile. Mike can afford to spend $\$ 71$ on the car rental for one day. How many miles can he drive and stay within his budget? (Hint: $20 \phi=\$ 0.20$ )

Solve the problem. Round to the nearest hundredth, if necessary. -What is $33 \%$ of 1955 ?

Solve the problem. -Every basketball season Pam competes in a free throw contest. This year Pam was successful at 0.6 of her free throws. If she succeeded at 9 free throws, how many free throws did she attempt?

Determine whether the given number is a solution of the inequality. - $\mathrm{x} \leq 3,-9$

Translate the sentence to an inequality. -The cost is no more than $\$ 393.90$ .

Solve. -A city government budgeted $\$ 27.7$ million for public transportation. This was $\$ 13.1$ million more than was budgeted for parks and recreation. How much was budgeted for parks and recreation?

Solve the problem. Round to the nearest tenth of a percent. -3.5 is what percent of 17.8 ?

Solve the problem. Round to the nearest tenth of a percent. -What percent of 2434 is 17 ?

Solve using the multiplication principle. - $-7.3 m=-21.9$

Solve using the multiplication principle. - $\frac{-t}{8}=11$

Solve the problem. -A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 54 marbles in it. At least how many green marbles does it have?

Solve. -A 243-foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 3 times as long as the second. How long is each piece of rope?

Solve the equation using the addition principle. - $-19.5=24.5+x$

Solve. Clear fractions first. - $\frac{11}{10} \mathrm{x}+\frac{1}{10} \mathrm{x}=7 \mathrm{x}+\frac{1}{5}+\frac{9}{10} \mathrm{x}$

Solve. - $\frac{1}{5} \mathrm{f}-5=1$

Solve. Clear decimals first. - $6.96 \mathrm{x}+48.72=2.32 \mathrm{x}+16.24$

Solve the problem. -CopyMart charges $\$ 28$ plus $44 \$$ per copy to produce promotional brochures. How many brochures can Steve purchase if he has a budget of $\$ 89.16$ ? (Hint: $44 \phi=\$ 0.44$ )

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

Equations of Lines and Simplifying Radical Expressions

Filters

Exam 2: Solving Equations and Inequalities

Solve the equation using the addition principle. - x+123=4x+1 \frac{2}{3}=4x+132​=4

Solve the problem. -After spending $2550\$ 2550$2550 for tables and $3250\$ 3250$3250 for chairs a convention center manager finds that the furniture cost 5%5 \%5% more than last year. Find the amount that he spent last year on tables and chairs. Round your answer to the nearest dollar.

Solve. -A car rental business rents a compact car at a daily rate of $25.20\$ 25.20$25.20 plus 20ϕ20 \phi20ϕ per mile. Mike can afford to spend $71\$ 71$71 on the car rental for one day. How many miles can he drive and stay within his budget? (Hint: 20ϕ=$0.2020 \phi=\$ 0.2020ϕ=$0.20 )

Solve the problem. Round to the nearest hundredth, if necessary. -What is 33%33 \%33% of 1955 ?