Question 1

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Write a linear equation that can be solved using the addition property of equality and that
has x = -7 as a solution.

Accepted Answer

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

Question 2

Solve the problem.

-Dr. Smith can see 11 patients in 2 hours. At this rate, how long would it take him to see 66 patients?

Accepted Answer

A)  22 hours 
B)  363 hours 
C)  12 hours 
D)  11 hours

Question 3

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-Find the measure of an angle, if its supplement measures 51° more than twice its complement.

Accepted Answer

A)  $39 ^ { \circ }$ 
B)  $102 ^ { \circ }$ 
C)  $61 ^ { \circ }$ 
D)  $51 ^ { \circ }$

Question 4

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 45 marbles in it. At least how many green marbles does it have?

Accepted Answer

A)  At least 23 green marbles 
B)  At least 30 green marbles 
C)  At least 16 green marbles 
D)  At least 15 green marbles

Question 5

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 = 5 is a solution to 4x + 19x - 6 = ? + 5.

Accepted Answer

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

Question 6

Solve the problem.

-In a sample of 99 widgets, 7 were defective. How many defective widgets would you expect in a sample of 792 widgets?

Accepted Answer

A)  118 widgets 
B)  54 widgets 
C)  59 widgets 
D)  56 widgets

Question 7

Solve the problem.
-To convert a Fahrenheit temperature to a Celsius temperature, we subtract 32 from the Fahrenheit temperature and then multiply the result by $\frac { 5 } { 9 }$. When the temperature is below $29 ^ { \circ } \mathrm { F }$ the first grade students are not allowed to play outside. What is this temperature in degrees Celsius?

Accepted Answer

A)  $15.9 ^ { \circ } \mathrm { C }$ 
B)  $84.2 ^ { \circ } \mathrm { C }$ 
C)  $20.2 ^ { \circ } \mathrm { C }$ 
D)  $- 1.7 ^ { \circ } \mathrm { C }$

Question 8

Determine whether the given value is a solution of the equation.
-$$x = \frac { 1 } { 4 } , \frac { 2 } { 9 } x + \frac { 17 } { 18 } = 1$$

Accepted Answer

A)  Yes 
B)  No

Question 9

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-A 9-pound puppy is gaining weight at a rate of $\frac { 2 } { 3 } \mathrm { lb }$ per week. How much more time will it take for the puppy's weight to exceed $28 \frac { 2 } { 3 } \mathrm { lb }$ ?

Accepted Answer

A)  More than $1 \frac { 3 } { 4 }$ week(s) 
B)  More than $30 \frac { 1 } { 2 }$ weeks 
C)  More than $56 \frac { 1 } { 2 }$ weeks 
D)  More than $29 \frac { 1 } { 2 }$ weeks

Question 10

Solve the problem.

-There are two types of tickets for a school play: child tickets that sell for $2 each and adult tickets that sell for $7 each. A total of 80 tickets are sold, bringing in a total of $410. How many adult
Tickets are sold?

Accepted Answer

A)  51 
B)  48 
C)  54 
D)  50

Question 11

Choose the one alternative that best completes the statement or answers the question.
Solve.
-4n - 9 = 27

Accepted Answer

A)  {9} 
B)  {36} 
C)  {32} 
D)  {15}

Question 12

Solve by using the multiplication property of equality.
--3x = -12

Accepted Answer

A)  {2} 
B)  {-9} 
C)  {4} 
D)  {9}

Question 13

Answer the question or solve the problem.
-From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 7 miles per hour and Fred rides 5 miles per hour. In how many hours will they be 60 miles apart?

Accepted Answer

A)  4 hours 
B)  5 hours 
C)  6 hours 
D)  Not enough information

Question 14

Solve the problem.

-If a ≤ b, is it always true that a $- 7 \leq b - 7 ? \text { Explain }$

Accepted Answer

The answer of Solve the problem.

-If a ≤ b, is...

Question 15

Determine whether the given equation is linear.
--2(x + 4) = 7

Accepted Answer

A)  Linear 
B)  Nonlinear

Question 16

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 $9. The total cost for 13 student
Tickets and 12 general public tickets is $110. How much does a student ticket cost?

Accepted Answer

A)  $1 
B)  $2 
C)  $7 
D)  $3

Question 17

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-The sum of two consecutive integers is -389. Find the larger integer.

Accepted Answer

A)  -194 
B)  -196 
C)  -193 
D)  -195

Question 18

Answer the question or solve the problem.
-The sum of the measures of the angles of any triangle is 180°. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 60° larger than each of A and B. What are the
Measures of the three angles?

Accepted Answer

A)  A and B: 100°; C: 40° 
B)  A and C: 80°; B: 50° 
C)  A and B: 50°; C: 80° 
D)  A and B: 40°; C: 100°

Question 19

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-A car rental company has two rental rates. Rate 1 is $72 per day plus $0.18 per mile. Rate 2 is $144 per day plus $0.09 per mile. If you plan to rent for one week, how many miles would you need to
Drive to pay less by taking Rate 2?

Accepted Answer

A)  More than 5600 miles 
B)  More than 39,900 miles 
C)  More than 78,400 miles 
D)  More than 19,600 miles

Question 20

Solve the problem.

-$$\text { essica wanted to solve the following problem: The price of an item increased by } 15 \% \text {. The }$$

Accepted Answer

The answer of Solve the problem.

-\[\text { essica wanted to...

Exam 2: Linear Equations

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Write a linear equation that can be solved using the addition property of equality and that has x = -7 as a solution.

Solve the problem. -Dr. Smith can see 11 patients in 2 hours. At this rate, how long would it take him to see 66 patients?

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -Find the measure of an angle, if its supplement measures 51° more than twice its complement.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 45 marbles in it. At least how many green marbles does it have?

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 = 5 is a solution to 4x + 19x - 6 = ? + 5.

Solve the problem. -In a sample of 99 widgets, 7 were defective. How many defective widgets would you expect in a sample of 792 widgets?

Determine whether the given value is a solution of the equation. - $x = \frac { 1 } { 4 } , \frac { 2 } { 9 } x + \frac { 17 } { 18 } = 1$

Solve the problem. -There are two types of tickets for a school play: child tickets that sell for $2 each and adult tickets that sell for $7 each. A total of 80 tickets are sold, bringing in a total of $410. How many adult Tickets are sold?

Choose the one alternative that best completes the statement or answers the question. Solve. -4n - 9 = 27

Solve by using the multiplication property of equality. --3x = -12

Answer the question or solve the problem. -From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 7 miles per hour and Fred rides 5 miles per hour. In how many hours will they be 60 miles apart?

Solve the problem. -If a ≤ b, is it always true that a $- 7 \leq b - 7 ? \text { Explain }$

Determine whether the given equation is linear. --2(x + 4) = 7

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The sum of two consecutive integers is -389. Find the larger integer.

Answer the question or solve the problem. -The sum of the measures of the angles of any triangle is 180°. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 60° larger than each of A and B. What are the Measures of the three angles?

Solve the problem. - $\text { essica wanted to solve the following problem: The price of an item increased by } 15 \% \text {. The }$

Exam 2: Linear Equations

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Write a linear equation that can be solved using the addition property of equality and that has x = -7 as a solution.

Solve the problem. -Dr. Smith can see 11 patients in 2 hours. At this rate, how long would it take him to see 66 patients?

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -Find the measure of an angle, if its supplement measures 51° more than twice its complement.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 45 marbles in it. At least how many green marbles does it have?

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 = 5 is a solution to 4x + 19x - 6 = ? + 5.

Solve the problem. -In a sample of 99 widgets, 7 were defective. How many defective widgets would you expect in a sample of 792 widgets?

Determine whether the given value is a solution of the equation. - x=14,29x+1718=1x = \frac { 1 } { 4 } , \frac { 2 } { 9 } x + \frac { 17 } { 18 } = 1x=41​,92​x+1817​=1

Solve the problem. -There are two types of tickets for a school play: child tickets that sell for $2 each and adult tickets that sell for $7 each. A total of 80 tickets are sold, bringing in a total of $410. How many adult Tickets are sold?

Choose the one alternative that best completes the statement or answers the question. Solve. -4n - 9 = 27

Solve by using the multiplication property of equality. --3x = -12

Answer the question or solve the problem. -From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 7 miles per hour and Fred rides 5 miles per hour. In how many hours will they be 60 miles apart?

Solve the problem. -If a ≤ b, is it always true that a −7≤b−7? Explain - 7 \leq b - 7 ? \text { Explain }−7≤b−7? Explain

Determine whether the given equation is linear. --2(x + 4) = 7

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The sum of two consecutive integers is -389. Find the larger integer.

Answer the question or solve the problem. -The sum of the measures of the angles of any triangle is 180°. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 60° larger than each of A and B. What are the Measures of the three angles?

Determine whether the given value is a solution of the equation. - $x = \frac { 1 } { 4 } , \frac { 2 } { 9 } x + \frac { 17 } { 18 } = 1$

Solve the problem. -If a ≤ b, is it always true that a $- 7 \leq b - 7 ? \text { Explain }$