Question 1

Solve the problem.

-$$\text { Iuan and Pete are hired at the same salary. Juan receives a } 10 \% \text { raise followed by an } 8 \%$$

Accepted Answer

Neither. Juanʹs and Peteʹs final salaries are equal since
(y × 110%) × 108% = (y × 108%) × 110%. For example, if the original salary of each
$100,000, Juanʹs first raise will give him a salary of $110,000, while his second raise
will increase his salary to $118,800. Peteʹs first raise will give him a salary of
$108,000, while his second raise will increase his salary to $118,800. (Explanations
will vary.)

Question 2

Solve the problem.

-Ben drove his car 734 kilometers in 5 hours while he was on vacation in Italy. He was
trying to estimate how far he could drive in 8 hours the next day so he set up the
following proportion: $\frac { 734 } { 5 } = \frac { 8 } { x }$

Accepted Answer

This proportion will not give him the correct answer because it is set up incorrectly.
The numerators and denominators do not correspond. The correct proportion is $\frac { 734 } { 5 } = \frac { x } { 8 }$

Question 3

Solve the problem.

-It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 30 liters of 20% solution. How many liters of this should be drained and replaced with 100%
Antifreeze to get the desired strength?

Accepted Answer

A)  12 L 
B)  7.5 L 
C)  10.0 L
D) 15 L 
A)  12 L 
B)  7.5 L 
C)  10.0 L
D) 15 L B

Question 4

Solve the problem.

-Tim invested $87,000 in two plans. Plan 1 is at an APR of 6%, and plan 2 is at an APR of 12%. If he invested $5000 less in plan 2 than in plan 1, how much can he expect to earn in one year?

Accepted Answer

A)  $4920 
B)  $7980 
C)  $7680 
D)  $2760 
A)  $4920 
B)  $7980 
C)  $7680 
D)  $2760

Question 5

Solve by using the multiplication property of equality.
-- 16 x = -3

Accepted Answer

A)  {-10} 
B)  {-9} 
C)  {0} 
D)  {18} 
A)  {-10} 
B)  {-9} 
C)  {0} 
D)  {18}

Question 6

Solve the problem.
-A car rental agency advertised renting a luxury, full-size car for $24.95 per day and $0.19 per mile. If you rent this car for 3 days, how many whole miles can you drive if you only have $200 to
Spend.

Accepted Answer

A)  5 miles 
B)  658 miles 
C)  905 miles 
D)  66 miles 
A)  5 miles 
B)  658 miles 
C)  905 miles 
D)  66 miles

Question 7

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-The sum of three consecutive integers is 384. Find the integers.

Accepted Answer

A)  126   128   130 
B)  128   129   130 
C)  126   127   128 
D)  127   128   129 
A)  126   128   130 
B)  128   129   130 
C)  126   127   128 
D)  127   128   129

Question 8

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-The sum of three consecutive odd integers is 195. Find the integers.

Accepted Answer

A)  58   59   60 
B)  63   65   67 
C)  65   67   69 
D)  67   69   71 
A)  58   59   60 
B)  63   65   67 
C)  65   67   69 
D)  67   69   71

Question 9

Determine whether the given equation is linear.
-8x = 24

Accepted Answer

A)  Linear 
B)  Nonlinear 
A)  Linear 
B)  Nonlinear

Question 10

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Find the missing value such that x = 3 is a solution of 8x - 3 = ?.

Accepted Answer

The answer of Write the word or phrase that best...

Question 11

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Your friend solves an equation as follows: $$\begin{array} { l } 
x - 39 = 34 \
x = 34 - 39 \
x = - 5
\end{array}$$

Accepted Answer

Yes, the friend did make a mis

Question 12

Solve the problem.

-Walt made an extra $7000 last year from a part-time job. He invested part of the money at 9% and the rest at 10%. He made a total of $660 in interest. How much was invested at 10%?

Accepted Answer

A)  $3500 
B)  $3000 
C)  $4000 
D)  $5000 
A)  $3500 
B)  $3000 
C)  $4000 
D)  $5000

Question 13

Solve the problem.

-A writer received $39,000 as royalty for her book. She invested part of the money in bonds paying 6% interest annually. The rest she invested in a life insurance policy paying 12% interest annually.
If the total interest from the investments after 1 year is $4080, how much did she invest in bonds?

Accepted Answer

A)  $30,000 
B)  $10,000 
C)  $11,000 
D)  $29,000 
A)  $30,000 
B)  $10,000 
C)  $11,000 
D)  $29,000

Question 14

Solve the problem.
-The sum of twice a number and 10 less than the number is the same as the difference between -2 and the number. What is the number?

Accepted Answer

A)  4 
B)  3 
C)  1 
D)  2 
A)  4 
B)  3 
C)  1 
D)  2

Question 15

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-What is the Multiplication Property of Equality?

Accepted Answer

The Multiplication Property of Equality

Question 16

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-The sum of the page numbers on the facing pages of a book is 341. Find the larger page number.

Accepted Answer

A)  181 
B)  166 
C)  171 
D)  169 
A)  181 
B)  166 
C)  171 
D)  169

Question 17

Solve the problem.

-10.32 is 24% of what number?

Accepted Answer

A)  43 
B)  0.43 
C)  430 
D)  4.3 
A)  43 
B)  0.43 
C)  430 
D)  4.3

Question 18

Determine whether the given equation is linear.
-$\frac { 4 x } { 7 } - \frac { 1 } { 6 } = 4 x$

Accepted Answer

A)  Linear 
B)  Nonlinear 
A)  Linear 
B)  Nonlinear

Question 19

Solve the problem.

-There are two types of tickets for a school play: student tickets and tickets for the general public. The total cost for one student ticket and one general public ticket is $11. The total cost for 11
Student tickets and 9 general public tickets is $107. How much does a general public ticket cost?

Accepted Answer

A)  $7 
B)  $6 
C)  $9 
D)  $4 
A)  $7 
B)  $6 
C)  $9 
D)  $4

Question 20

Answer the question or solve the problem.
-From a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 6 miles per hour. In how many hours will they be 52 miles apart?

Accepted Answer

A)  5 hours 
B)  6 hours 
C)  4 hours 
D)  1 hour 
A)  5 hours 
B)  6 hours 
C)  4 hours 
D)  1 hour

Solve the problem. - $\text { Iuan and Pete are hired at the same salary. Juan receives a } 10 \% \text { raise followed by an } 8 \%$

Solve the problem. -Ben drove his car 734 kilometers in 5 hours while he was on vacation in Italy. He was trying to estimate how far he could drive in 8 hours the next day so he set up the following proportion: $\frac { 734 } { 5 } = \frac { 8 } { x }$

Solve the problem. -It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 30 liters of 20% solution. How many liters of this should be drained and replaced with 100% Antifreeze to get the desired strength?

Solve the problem. -Tim invested $87,000 in two plans. Plan 1 is at an APR of 6%, and plan 2 is at an APR of 12%. If he invested $5000 less in plan 2 than in plan 1, how much can he expect to earn in one year?

Solve by using the multiplication property of equality. -- 16 x = -3

Solve the problem. -A car rental agency advertised renting a luxury, full-size car for $24.95 per day and $0.19 per mile. If you rent this car for 3 days, how many whole miles can you drive if you only have $200 to Spend.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The sum of three consecutive integers is 384. Find the integers.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The sum of three consecutive odd integers is 195. Find the integers.

Determine whether the given equation is linear. -8x = 24

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Find the missing value such that x = 3 is a solution of 8x - 3 = ?.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Your friend solves an equation as follows: x-39=34 x=34-39 x=-5

Solve the problem. -Walt made an extra $7000 last year from a part-time job. He invested part of the money at 9% and the rest at 10%. He made a total of $660 in interest. How much was invested at 10%?

Solve the problem. -The sum of twice a number and 10 less than the number is the same as the difference between -2 and the number. What is the number?

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What is the Multiplication Property of Equality?

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The sum of the page numbers on the facing pages of a book is 341. Find the larger page number.

Solve the problem. -10.32 is 24% of what number?

Determine whether the given equation is linear. - $\frac { 4 x } { 7 } - \frac { 1 } { 6 } = 4 x$

Answer the question or solve the problem. -From a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 6 miles per hour. In how many hours will they be 52 miles apart?

Review of Real Numbers

Graphing Linear Equations

Systems of Equations

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

A Transition

Radical Expressions and Equations

Quadratic Equations

Functions

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 2: Linear Equations

Solve the problem. -Ben drove his car 734 kilometers in 5 hours while he was on vacation in Italy. He was trying to estimate how far he could drive in 8 hours the next day so he set up the following proportion: 7345=8x\frac { 734 } { 5 } = \frac { 8 } { x }5734​=x8​

Solve the problem. -It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 30 liters of 20% solution. How many liters of this should be drained and replaced with 100% Antifreeze to get the desired strength?

Solve the problem. -Tim invested $87,000 in two plans. Plan 1 is at an APR of 6%, and plan 2 is at an APR of 12%. If he invested $5000 less in plan 2 than in plan 1, how much can he expect to earn in one year?

Solve by using the multiplication property of equality. -- 16 x = -3

Solve the problem. -A car rental agency advertised renting a luxury, full-size car for $24.95 per day and $0.19 per mile. If you rent this car for 3 days, how many whole miles can you drive if you only have $200 to Spend.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The sum of three consecutive integers is 384. Find the integers.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The sum of three consecutive odd integers is 195. Find the integers.

Determine whether the given equation is linear. -8x = 24

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Find the missing value such that x = 3 is a solution of 8x - 3 = ?.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Your friend solves an equation as follows: x-39=34 x=34-39 x=-5

Solve the problem. -Walt made an extra $7000 last year from a part-time job. He invested part of the money at 9% and the rest at 10%. He made a total of $660 in interest. How much was invested at 10%?

Solve the problem. -The sum of twice a number and 10 less than the number is the same as the difference between -2 and the number. What is the number?

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What is the Multiplication Property of Equality?

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The sum of the page numbers on the facing pages of a book is 341. Find the larger page number.

Solve the problem. -10.32 is 24% of what number?

Determine whether the given equation is linear. - 4x7−16=4x\frac { 4 x } { 7 } - \frac { 1 } { 6 } = 4 x74x​−61​=4x

Answer the question or solve the problem. -From a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 6 miles per hour. In how many hours will they be 52 miles apart?

Review of Real Numbers

Graphing Linear Equations

Systems of Equations

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

A Transition

Radical Expressions and Equations

Quadratic Equations

Functions

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Solve the problem. -Ben drove his car 734 kilometers in 5 hours while he was on vacation in Italy. He was trying to estimate how far he could drive in 8 hours the next day so he set up the following proportion: $\frac { 734 } { 5 } = \frac { 8 } { x }$

Determine whether the given equation is linear. - $\frac { 4 x } { 7 } - \frac { 1 } { 6 } = 4 x$