Question 1

Solve.
-The height of the tallest building in Anne's home town is 651 feet, which is about 317 feet taller than the tallest building in Laurie's home town. What is the height of the tallest building in Laurie's home town?

Accepted Answer

The answer of Solve.
-The height of the tallest building in...

Question 2

Solve.
-The area of Mark's backyard is about 7 times the area of Jon's backyard. The area of Mark's backyard is $5411 \mathrm{ft}^{2}$. What is the area of Jon's backyard?

Accepted Answer

The answer of Solve.
-The area of Mark's backyard is about...

Question 3

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

The answer of Solve.
-A city government budgeted $\$ 27.7$ million...

Question 4

Solve.
-Elaine was cooking dinner for some friends. She went out to do the shopping and spent $\$ 156$. She spent twice as much on food as on drinks. How much did she spend on each?

Accepted Answer

The answer of Solve.
-Elaine was cooking dinner for some friends....

Question 5

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

Let the length of the first piece be $x$. The second piece is $2x$ and the third piece is $3(2x) = 6x$. The total length is $x + 2x + 6x = 9x = 243$. Solving for $x$ gives $x = 27$, so the pieces are $27 \mathrm{ft}$, $54 \mathrm{ft}$, and $162 \mathrm{ft}$.

Question 6

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

The correct answer is A.The total cost of renting the car for one day is $25.20 + 0.20x$, where $x$ is the number of miles driven. Since Mike can afford to spend $71$ dollars, we have the equation $25.20 + 0.20x = 71$. Solving for $x$, we get $x = 229$.

Question 7

Solve.
-You are traveling to your aunt's house that is 240 miles away. If you are currently twice as far from home as you are from your aunt's, how far have you traveled?

Accepted Answer

You have traveled 160 miles. If you are twice as far from home as from your aunt's, the distance from home is 2x and from your aunt's is x. Since the total distance is 240 miles, 2x + x = 240, solving for x gives 80 miles to your aunt's, meaning you've traveled 240 - 80 = 160 miles.

Question 8

Solve.
-Jordan sold his used snow plow and accessories for $\$ 539$. If he received ten times as much money for the snow plow as he did for the accessories, how much did he receive for the snow plow?

Accepted Answer

Let the amount received for the accessories be $x$. Therefore, the amount received for the snow plow is $10x$. The total amount received is $x + 10x = 11x = \$539$. Solving for $x$ gives $x = \$49$, so the amount received for the snow plow is $10x = 10 \times \$49 = \$490$.

Question 9

Solve.
-In West Arlington, taxis charge $\$ 4.50$ plus $75 \$$ per mile for an airport pickup. How far from the airport can Amy travel for $\$ 27.00$ ? (Hint: $75 \$=\$ 0.75$ )

Accepted Answer

The answer of Solve.
-In West Arlington, taxis charge $\$ 4.50$...

Question 10

Solve.
-Bill needs an average of 70 on four tests in science to make the honor roll. What is the lowest score he can receive on the fourth test if his first three scores are 65,60 , and 92 ?

Accepted Answer

To achieve an average of 70 over four tests, Bill needs a total of 4 * 70 = 280 points. The sum of his first three scores is 65 + 60 + 92 = 217. Therefore, the lowest score he can receive on the fourth test to still make the honor roll is 280 - 217 = 63.

Question 11

Determine whether the given number is a solution of the inequality.
-$x>-12,-4.69$

Accepted Answer

Since $-4.69$ is greater than $-12$, it satisfies the inequality $x > -12$.

Question 12

Determine whether the given number is a solution of the inequality.
-$x>8,6.54$

Accepted Answer

The number 6.54 is not greater than 8, so it does not satisfy the inequality $x > 8$.

Question 13

Determine whether the given number is a solution of the inequality.
-$x<11,7.99$

Accepted Answer

7.99 is less than 11, which satisfies the inequality $x < 11$.

Question 14

Determine whether the given number is a solution of the inequality.
-$x>-2,-8.7$

Accepted Answer

The number $-8.7$ is not a solution to the inequality $x > -2$ because $-8.7$ is less than $-2$, not greater.

Question 15

Determine whether the given number is a solution of the inequality.
-$x \geq-11,3$

Accepted Answer

The number -11.3 is greater than or equal to -11.3, so it is a solution to the inequality.

Question 16

Determine whether the given number is a solution of the inequality.
-$x \geq 15,13$

Accepted Answer

The number 13 does not satisfy the inequality $x \geq 15$ because 13 is less than 15.

Question 17

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

Accepted Answer

-9 is less than or equal to 3.

Question 18

Determine whether the given number is a solution of the inequality.
-$\mathrm{x} \leq 12,15$

Accepted Answer

The given number $15$ is not a solution to the inequality $x \leq 12$ because $15$ is greater than $12$, not less than or equal to.

Question 19

Graph the inequality.
-$x>-6$

Accepted Answer

The answer of Graph the inequality.
-$x>-6$

...

Question 20

Graph the inequality.
-$\mathrm{x}<-3$

Accepted Answer

The answer of Graph the inequality.
-$\mathrm{x}<-3$

...

Quiz 2: Solving Equations and Inequalities

Solve. -The height of the tallest building in Anne's home town is 651 feet, which is about 317 feet taller than the tallest building in Laurie's home town. What is the height of the tallest building in Laurie's home town?

Solve. -The area of Mark's backyard is about 7 times the area of Jon's backyard. The area of Mark's backyard is $5411 \mathrm{ft}^{2}$ . What is the area of Jon's backyard?

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. -Elaine was cooking dinner for some friends. She went out to do the shopping and spent $\$ 156$ . She spent twice as much on food as on drinks. How much did she spend on each?

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. -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. -You are traveling to your aunt's house that is 240 miles away. If you are currently twice as far from home as you are from your aunt's, how far have you traveled?

Solve. -Jordan sold his used snow plow and accessories for $\$ 539$ . If he received ten times as much money for the snow plow as he did for the accessories, how much did he receive for the snow plow?

Solve. -In West Arlington, taxis charge $\$ 4.50$ plus $75 \$$ per mile for an airport pickup. How far from the airport can Amy travel for $\$ 27.00$ ? (Hint: $75 \$=\$ 0.75$ )

Solve. -Bill needs an average of 70 on four tests in science to make the honor roll. What is the lowest score he can receive on the fourth test if his first three scores are 65,60 , and 92 ?

Determine whether the given number is a solution of the inequality. - $x>-12,-4.69$

Determine whether the given number is a solution of the inequality. - $x>8,6.54$

Determine whether the given number is a solution of the inequality. - $x<11,7.99$

Determine whether the given number is a solution of the inequality. - $x>-2,-8.7$

Determine whether the given number is a solution of the inequality. - $x \geq-11,3$

Determine whether the given number is a solution of the inequality. - $x \geq 15,13$

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

Determine whether the given number is a solution of the inequality. - $\mathrm{x} \leq 12,15$

Graph the inequality. - $x>-6$

Graph the inequality. - $\mathrm{x}<-3$ $Graph the inequality. - \mathrm{x}<-3 A) B) C) D)$

Quiz 2: Solving Equations and Inequalities

Solve. -The height of the tallest building in Anne's home town is 651 feet, which is about 317 feet taller than the tallest building in Laurie's home town. What is the height of the tallest building in Laurie's home town?

Solve. -The area of Mark's backyard is about 7 times the area of Jon's backyard. The area of Mark's backyard is 5411ft25411 \mathrm{ft}^{2}5411ft2 . What is the area of Jon's backyard?

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

Solve. -Elaine was cooking dinner for some friends. She went out to do the shopping and spent $156\$ 156$156 . She spent twice as much on food as on drinks. How much did she spend on each?

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. -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. -You are traveling to your aunt's house that is 240 miles away. If you are currently twice as far from home as you are from your aunt's, how far have you traveled?

Solve. -Jordan sold his used snow plow and accessories for $539\$ 539$539 . If he received ten times as much money for the snow plow as he did for the accessories, how much did he receive for the snow plow?

Solve. -In West Arlington, taxis charge $4.50\$ 4.50$4.50 plus 75$75 \$75$ per mile for an airport pickup. How far from the airport can Amy travel for $27.00\$ 27.00$27.00 ? (Hint: 75$=$0.7575 \$=\$ 0.7575$=$0.75 )

Solve. -Bill needs an average of 70 on four tests in science to make the honor roll. What is the lowest score he can receive on the fourth test if his first three scores are 65,60 , and 92 ?

Determine whether the given number is a solution of the inequality. - x>−12,−4.69x>-12,-4.69x>−12,−4.69

Determine whether the given number is a solution of the inequality. - x>8,6.54x>8,6.54x>8,6.54

Determine whether the given number is a solution of the inequality. - x<11,7.99x<11,7.99x<11,7.99

Determine whether the given number is a solution of the inequality. - x>−2,−8.7x>-2,-8.7x>−2,−8.7

Determine whether the given number is a solution of the inequality. - x≥−11,3x \geq-11,3x≥−11,3

Determine whether the given number is a solution of the inequality. - x≥15,13x \geq 15,13x≥15,13

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

Determine whether the given number is a solution of the inequality. - x≤12,15\mathrm{x} \leq 12,15x≤12,15

Graph the inequality. - x>−6x>-6x>−6

Graph the inequality. - x<−3\mathrm{x}<-3x<−3