Question 1

Choose the one alternative that best completes the statement or answers the question.
Solve.
-$P = s _ { 1 } + s _ { 2 } + s _ { 3 }$ for $s _ { 3 }$

Accepted Answer

To solve for $s _ { 3 }$, we need to isolate it on one side of the equation. Subtracting $s _ { 1 }$ and $s _ { 2 }$ from both sides, we get: 
$$s _ { 3 } = P - s _ { 1 } - s _ { 2 }$$
Therefore, the correct choice is A.

Question 2

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 3

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Write an equation that requires the use of the multiplication property of equality, where
both sides must be multiplied by 100 and where the solution isnʹt an integer.

Accepted Answer

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

Question 4

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

Accepted Answer

4n - 9 = 274n = 27 + 94n = 36n = 36/4n = 9

Question 5

Choose the one alternative that best completes the statement or answers the question.
Solve.
-$\mathrm { d } = \mathrm { rt }$ for $\mathrm { r }$

Accepted Answer

To solve for $r$, divide both sides of the equation $d = rt$ by $t$, resulting in $r = \frac{d}{t}$.

Question 6

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

When the temperature is below $29 ^ { \circ } \mathrm { F }$, we know it is below freezing point of water which is $0 ^ { \circ } \mathrm { C }$. Therefore, the only option that makes sense is the negative Celsius temperature. 
Let's find the Celsius temperature:
\begin{align*}
C &= \frac{5}{9}(29-32) \
&= \frac{5}{9}(-3) \
&= -\frac{5}{3} \
&\approx -1.7
\end{align*}
Thus, the temperature in degrees Celsius is D) $-1.7 ^ { \circ } \mathrm { C }$.

Question 7

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 multiplication property of equality
and that has $x = \frac { 2 } { 9 }$

Accepted Answer

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

Question 8

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 $68 ^ { \circ } \mathrm { F }$, what is the temperature in degrees Celsius? Round to the nearest tenth of a degree.

Accepted Answer

To convert $68 ^ { \circ } \mathrm { F }$ to Celsius, subtract 32 and multiply by $\frac { 5 } { 9 }$: $(68 - 32) \times \frac { 5 } { 9 } = 36 \times \frac { 5 } { 9 } = 20 ^ { \circ } \mathrm { C }$.

Question 9

Choose the one alternative that best completes the statement or answers the question.
Solve.
-8r + 7 = 79

Accepted Answer

To solve the equation 8r + 7 = 79, subtract 7 from both sides to get 8r = 72. Then, divide both sides by 8 to find r = 9.

Question 10

Solve the problem.
-To convert a Celsius temperature to a Fahrenheit temperature, we multiply the Celsius temperature by $\frac { 9 } { 5 }$ and add 32 to the result. When the temperature is $90 ^ { \circ } \mathrm { C }$, what is the temperature in degrees Fahrenheit?

Accepted Answer

To convert $90 ^ { \circ } \mathrm { C }$ to Fahrenheit, multiply by $\frac { 9 } { 5 }$ and add 32: $90 \times \frac { 9 } { 5 } + 32 = 162 + 32 = 194 ^ { \circ } \mathrm { F }$.

Question 11

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

Question 12

Choose the one alternative that best completes the statement or answers the question.
Solve.
-$A = P ( 1 + n r )$ for $r$

Accepted Answer

We want to isolate the variable r, so we first undo the multiplication with P and n by dividing both sides by Pn:

$\frac { A } { Pn } = 1 + r$

Subtracting 1 from both sides, we get:

$\frac { A } { Pn } - 1 = r$

Combining the fractions on the left-hand side, we get:

$\frac { A - Pn } { Pn } = r$

Finally, we can flip the fraction to get rid of the division and obtain:

$r = \frac { A - P } { Pn }$

Question 13

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Write an equation that requires the use of the multiplication property of equality, where
both sides must be multiplied by $\frac { 13 } { 5 }$

Accepted Answer

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

Question 14

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 $\frac { 5 } { 9 }$. The average temperature on a planet in a solar system is $50 ^ { \circ } \mathrm { F }$. What is this temperature in degrees Celsius?

Accepted Answer

We need to subtract 32 from the Fahrenheit temperature and then multiply the result by $\frac{5}{9}$. 
$$\frac{5}{9}(50-32)=\frac{5}{9}(18)=10^\circ C$$ 
Therefore, the temperature in Celsius is $10^\circ C$ Thus, the answer is C.

Question 15

Solve by using the multiplication property of equality.
-The Smith family is planning a 245-mile trip. They plan to travel at an average speed of 35 miles per hour. Determine the number of hours the trip will take.

Accepted Answer

To solve for the number of hours (x) the trip will take, use the formula distance = rate × time, or in this case, 245 miles = 35 miles/hour × x hours. Solving for x gives x = 245 / 35 = 7 hours.

Question 16

Choose the one alternative that best completes the statement or answers the question.
Solve.
-$P = 2 L + 2 W$ for $L$

Accepted Answer

To solve for L, we want to isolate it on one side of the equation.

Start by subtracting 2W from both sides:

$P - 2W = 2L$

Then divide both sides by 2:

$\frac{P-2W}{2} = L$

So the answer is (C).

Question 17

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-While solving an equation, why canʹt you multiply both sides of the equation by zero?

Accepted Answer

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

Question 18

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

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

Question 19

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-What is the first step to solve an equation in the form $\frac { a } { b } x = \frac { c } { d } ?$

Accepted Answer

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

Question 20

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-What is the first step to solve an equation in the form b + x = a? What is the solution of the
equation?

Accepted Answer

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

Quiz 2: Linear Equations

Choose the one alternative that best completes the statement or answers the question. Solve. - $P = s _ { 1 } + s _ { 2 } + s _ { 3 }$ for $s _ { 3 }$

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.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Write an equation that requires the use of the multiplication property of equality, where both sides must be multiplied by 100 and where the solution isnʹt an integer.

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

Choose the one alternative that best completes the statement or answers the question. Solve. - $\mathrm { d } = \mathrm { rt }$ for $\mathrm { r }$

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 multiplication property of equality and that has $x = \frac { 2 } { 9 }$

Choose the one alternative that best completes the statement or answers the question. Solve. -8r + 7 = 79

Solve the problem. -To convert a Celsius temperature to a Fahrenheit temperature, we multiply the Celsius temperature by $\frac { 9 } { 5 }$ and add 32 to the result. When the temperature is $90 ^ { \circ } \mathrm { C }$ , what is the temperature in degrees Fahrenheit?

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. - $A = P ( 1 + n r )$ for $r$

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Write an equation that requires the use of the multiplication property of equality, where both sides must be multiplied by $\frac { 13 } { 5 }$

Solve by using the multiplication property of equality. -The Smith family is planning a 245-mile trip. They plan to travel at an average speed of 35 miles per hour. Determine the number of hours the trip will take.

Choose the one alternative that best completes the statement or answers the question. Solve. - $P = 2 L + 2 W$ for $L$

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -While solving an equation, why canʹt you multiply both sides of the equation by zero?

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: $\begin{array} { l } x - 39 = 34 \\x = 34 - 39 \\x = - 5\end{array}$

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What is the first step to solve an equation in the form $\frac { a } { b } x = \frac { c } { d } ?$

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What is the first step to solve an equation in the form b + x = a? What is the solution of the equation?

Quiz 2: Linear Equations

Choose the one alternative that best completes the statement or answers the question. Solve. - P=s1+s2+s3P = s _ { 1 } + s _ { 2 } + s _ { 3 }P=s1​+s2​+s3​ for s3s _ { 3 }s3​

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.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Write an equation that requires the use of the multiplication property of equality, where both sides must be multiplied by 100 and where the solution isnʹt an integer.

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

Choose the one alternative that best completes the statement or answers the question. Solve. - d=rt\mathrm { d } = \mathrm { rt }d=rt for r\mathrm { r }r

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 multiplication property of equality and that has x=29x = \frac { 2 } { 9 }x=92​

Choose the one alternative that best completes the statement or answers the question. Solve. -8r + 7 = 79

Solve the problem. -To convert a Celsius temperature to a Fahrenheit temperature, we multiply the Celsius temperature by 95\frac { 9 } { 5 }59​ and add 32 to the result. When the temperature is 90∘C90 ^ { \circ } \mathrm { C }90∘C , what is the temperature in degrees Fahrenheit?

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. - A=P(1+nr) A = P ( 1 + n r ) A=P(1+nr) for rrr

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Write an equation that requires the use of the multiplication property of equality, where both sides must be multiplied by 135\frac { 13 } { 5 }513​

Solve by using the multiplication property of equality. -The Smith family is planning a 245-mile trip. They plan to travel at an average speed of 35 miles per hour. Determine the number of hours the trip will take.

Choose the one alternative that best completes the statement or answers the question. Solve. - P=2L+2WP = 2 L + 2 WP=2L+2W for LLL

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -While solving an equation, why canʹt you multiply both sides of the equation by zero?

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=34x=34−39x=−5\begin{array} { l } x - 39 = 34 \\x = 34 - 39 \\x = - 5\end{array}x−39=34x=34−39x=−5​

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What is the first step to solve an equation in the form abx=cd?\frac { a } { b } x = \frac { c } { d } ?ba​x=dc​?

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What is the first step to solve an equation in the form b + x = a? What is the solution of the equation?

Choose the one alternative that best completes the statement or answers the question. Solve. - $P = s _ { 1 } + s _ { 2 } + s _ { 3 }$ for $s _ { 3 }$

Choose the one alternative that best completes the statement or answers the question. Solve. - $\mathrm { d } = \mathrm { rt }$ for $\mathrm { r }$

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 multiplication property of equality and that has $x = \frac { 2 } { 9 }$

Solve the problem. -To convert a Celsius temperature to a Fahrenheit temperature, we multiply the Celsius temperature by $\frac { 9 } { 5 }$ and add 32 to the result. When the temperature is $90 ^ { \circ } \mathrm { C }$ , what is the temperature in degrees Fahrenheit?

Choose the one alternative that best completes the statement or answers the question. Solve. - $A = P ( 1 + n r )$ for $r$

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Write an equation that requires the use of the multiplication property of equality, where both sides must be multiplied by $\frac { 13 } { 5 }$

Choose the one alternative that best completes the statement or answers the question. Solve. - $P = 2 L + 2 W$ for $L$

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: $\begin{array} { l } x - 39 = 34 \\x = 34 - 39 \\x = - 5\end{array}$

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What is the first step to solve an equation in the form $\frac { a } { b } x = \frac { c } { d } ?$