Question 1

Choose a strategy and solve.
-While shopping for used books, you note that the average price is about $\$ 8$ per book including tax. You have $\$ 94$ in your pocket. About how many books can you buy?

Accepted Answer

To determine how many books you can buy, divide the total amount of money you have (\$94) by the average price per book (\$8). $94 \div 8 = 11.75$. Since you can't buy a fraction of a book, you can buy 11 books.

Question 2

Choose a strategy and solve.
-You are planning a driving vacation, and you want to estimate the cost of the gas. While on vacation, you are planning to drive 3000 miles. Your car gets about 30 miles per gallon, and you estimate that the cost of gas is $\$ 1.69$ per gallon. What is your estimate for the cost of the gasoline for the the vacation?

Accepted Answer

First, calculate the total gallons needed: 3000 miles / 30 miles per gallon = 100 gallons. Then, calculate the cost: 100 gallons * $1.69 per gallon = $169.

Question 3

Choose a strategy and solve.
-You are planning a driving vacation, and you want to estimate the cost of the gas. While on vacation, you are planning to drive 3000 miles. Your car gets about 30 miles per gallon, and you estimate that the cost of gas is $\$ 1.86$ per gallon. If your take home pay for your part time job $\$ 10$ per hour, about how many hours will you need to work to pay for the gas? Round to the nearest hour.

Accepted Answer

First, calculate the total gallons of gas needed: 3000 miles / 30 miles per gallon = 100 gallons. Then, calculate the total cost of gas: 100 gallons * $1.86 = $186. Finally, calculate the hours needed to work: $186 / $10 per hour = 18.6 hours, rounded to the nearest hour is 18 hours.

Question 4

Choose a strategy and solve.
-Your daily routine consists of driving 31 minutes to college in the morning, then driving 16 minutes to your job, and finally 16 minutes driving home. You do this every day, Monday through Friday. How many minutes do you spend in your car Monday through Friday on these routine trips? Express your answer in minutes.

Accepted Answer

Each day, you spend 31 + 16 + 16 = 63 minutes driving. Over 5 days (Monday through Friday), you spend 63 * 5 = 315 minutes driving.

Question 5

Choose a strategy and solve.
-Two years ago you weighed 224 pounds. A year ago you weighed 199 pounds, and this year you weigh 175 pounds. How many pounds did you lose overall?

Accepted Answer

You lost weight from 224 pounds to 175 pounds over two years. The overall weight loss is 224 - 175 = 49 pounds.

Question 6

Choose a strategy and solve.
-You need to purchase four tires for your car, and you found that the tire you need is $\$ 61.39$ per tire installed including all taxes. You have \$233 in your checking account. Do you have enough money in your checking account?

Accepted Answer

The total cost for four tires is $4 \times 61.39 = 245.56$, which is more than the \$233 in your checking account.

Question 7

Use a calculator to solve.
-After agreeing to purchase a car, you are told that your monthly payment will be $\$ 413.41$ for 24 months. In addition, you are required to make a down payment of $\$ 1,000$. What will be the total amount you will pay for the car?

Accepted Answer

The total amount paid for the car includes the down payment and the total of all monthly payments. This is calculated as $24 \times \$413.41 + \$1,000 = \$9,921.84 + \$1,000 = \$10,921.84$.

Question 8

Use a calculator to solve.
-You attend a college and are taking a mathematics class. A total of 32 students are registered for the course. The class is a 5 credit course, and the tuition rate is $\$ 35$ per credit. What is the total amount of tuition paid by all the students in the class?

Accepted Answer

The total amount of tuition paid by all the students is calculated by multiplying the number of students (32) by the cost per student. The cost per student is the product of the number of credits (5) and the tuition rate per credit (\$35). So, the total tuition is $32 \times 5 \times \$35 = \$5600$.

Question 9

Use a calculator to solve.
-A large company decided to reduce the number of its employees. Prior to the reduction the company employed 45,910 people. The company decided to fire 3027 employees. How people were employed after the reduction?

Accepted Answer

The number of employees after the reduction is 45,910 - 3,027 = 42,883.

Question 10

Use a calculator to solve.
-A large company decided to reduce the number of its employees. The company decided to fire 4589 employees. After the reduction the company employed 45,679 people. How people were employed prior to the reduction?

Accepted Answer

The total number of employees before the reduction is found by adding the number of employees fired to the number of employees after the reduction: 45,679 + 4,589 = 50,268.

Question 11

Use a calculator to solve.
-You have agreed purchase a washer and dryer for $\$ 1140$ including installation and taxes. You also agree to make a down payment of $\$ 192$ and pay the balance in four payments. How much is each of the four payments?

Accepted Answer

First, subtract the down payment from the total cost: $1140 - $192 = $948. Then, divide the remaining balance by the number of payments: $948 / 4 = $237.

Question 12

Solve.
-I am thinking of a whole number. My number, rounded to the nearest hundred, is 400 . When the number is rounded to the nearest ten, it is 440 . What numbers am I thinking of?

Accepted Answer

When a number is rounded to the nearest hundred, the number is rounded to the nearest multiple of 100. So, the number must be between 350 and 450. When the number is rounded to the nearest ten, the number is rounded to the nearest multiple of 10. So, the number must be between 435 and 445. The only number that satisfies both conditions is 440.

Question 13

Why is the symbol, 0 , important for base ten number system?

Accepted Answer

The answer of Why is the symbol, 0 , important...

Question 14

Write this expression in words.
$3+16=19$

Accepted Answer

The operation being performed is addition, where "sum" refers to the result of adding two or more numbers together. Therefore, "The sum of 3 and 16 is 19" correctly describes the expression $3+16=19$.

Question 15

Write a response.
Show that $35 \div 7=5$ is repeated subtraction.

Accepted Answer

The answer of Write a response.
Show that $35 \div 7=5$...

Question 16

Answer the question true or false.
$7^{2}+9^{2}=(7+9)^{2}$

Accepted Answer

The left side equals $49 + 81 = 130$, while the right side equals $16^{2} = 256$, so they are not equal.

Question 17

In this expression, which symbol is the base?
$5^{6}$

Accepted Answer

In the expression $5^{6}$, the number 5 is the base. It is the number that is being raised to a power, which in this case is 6.

Question 18

In this expression, which symbol is the exponent?
$4^{5}$

Accepted Answer

In the expression $4^{5}$, the number 5 is the exponent, indicating that 4 is to be multiplied by itself 4 more times (a total of 5 times).

Question 19

Use one of the following names to identify the property illustrated by this expression: associative, commutative, identity, or distributive.
$25+88=88+25$

Accepted Answer

The expression illustrates the commutative property of addition, which states that changing the order of the numbers being added does not change the sum.

Question 20

Use one of the following names to identify the property illustrated by this expression: associative, commutative, identity, or distributive.
$50+0=50$

Accepted Answer

The expression $50+0=50$ illustrates the identity property of addition, where adding 0 to any number leaves it unchanged.

Quiz 1: Whole Numbers

Choose a strategy and solve. -While shopping for used books, you note that the average price is about $\$ 8$ per book including tax. You have $\$ 94$ in your pocket. About how many books can you buy?

Choose a strategy and solve. -Two years ago you weighed 224 pounds. A year ago you weighed 199 pounds, and this year you weigh 175 pounds. How many pounds did you lose overall?

Choose a strategy and solve. -You need to purchase four tires for your car, and you found that the tire you need is $\$ 61.39$ per tire installed including all taxes. You have \$233 in your checking account. Do you have enough money in your checking account?

Use a calculator to solve. -After agreeing to purchase a car, you are told that your monthly payment will be $\$ 413.41$ for 24 months. In addition, you are required to make a down payment of $\$ 1,000$ . What will be the total amount you will pay for the car?

Use a calculator to solve. -You attend a college and are taking a mathematics class. A total of 32 students are registered for the course. The class is a 5 credit course, and the tuition rate is $\$ 35$ per credit. What is the total amount of tuition paid by all the students in the class?

Use a calculator to solve. -A large company decided to reduce the number of its employees. Prior to the reduction the company employed 45,910 people. The company decided to fire 3027 employees. How people were employed after the reduction?

Use a calculator to solve. -A large company decided to reduce the number of its employees. The company decided to fire 4589 employees. After the reduction the company employed 45,679 people. How people were employed prior to the reduction?

Use a calculator to solve. -You have agreed purchase a washer and dryer for $\$ 1140$ including installation and taxes. You also agree to make a down payment of $\$ 192$ and pay the balance in four payments. How much is each of the four payments?

Solve. -I am thinking of a whole number. My number, rounded to the nearest hundred, is 400 . When the number is rounded to the nearest ten, it is 440 . What numbers am I thinking of?

Why is the symbol, 0 , important for base ten number system?

Write this expression in words. $3+16=19$

Write a response. Show that $35 \div 7=5$ is repeated subtraction.

Answer the question true or false. $7^{2}+9^{2}=(7+9)^{2}$

In this expression, which symbol is the base? $5^{6}$

In this expression, which symbol is the exponent? $4^{5}$

Use one of the following names to identify the property illustrated by this expression: associative, commutative, identity, or distributive. $25+88=88+25$

Use one of the following names to identify the property illustrated by this expression: associative, commutative, identity, or distributive. $50+0=50$

Quiz 1: Whole Numbers

Choose a strategy and solve. -While shopping for used books, you note that the average price is about $8\$ 8$8 per book including tax. You have $94\$ 94$94 in your pocket. About how many books can you buy?

Choose a strategy and solve. -Two years ago you weighed 224 pounds. A year ago you weighed 199 pounds, and this year you weigh 175 pounds. How many pounds did you lose overall?

Choose a strategy and solve. -You need to purchase four tires for your car, and you found that the tire you need is $61.39\$ 61.39$61.39 per tire installed including all taxes. You have \$233 in your checking account. Do you have enough money in your checking account?

Use a calculator to solve. -After agreeing to purchase a car, you are told that your monthly payment will be $413.41\$ 413.41$413.41 for 24 months. In addition, you are required to make a down payment of $1,000\$ 1,000$1,000 . What will be the total amount you will pay for the car?

Use a calculator to solve. -You attend a college and are taking a mathematics class. A total of 32 students are registered for the course. The class is a 5 credit course, and the tuition rate is $35\$ 35$35 per credit. What is the total amount of tuition paid by all the students in the class?

Use a calculator to solve. -A large company decided to reduce the number of its employees. Prior to the reduction the company employed 45,910 people. The company decided to fire 3027 employees. How people were employed after the reduction?

Use a calculator to solve. -A large company decided to reduce the number of its employees. The company decided to fire 4589 employees. After the reduction the company employed 45,679 people. How people were employed prior to the reduction?

Use a calculator to solve. -You have agreed purchase a washer and dryer for $1140\$ 1140$1140 including installation and taxes. You also agree to make a down payment of $192\$ 192$192 and pay the balance in four payments. How much is each of the four payments?

Solve. -I am thinking of a whole number. My number, rounded to the nearest hundred, is 400 . When the number is rounded to the nearest ten, it is 440 . What numbers am I thinking of?

Why is the symbol, 0 , important for base ten number system?

Write this expression in words. 3+16=193+16=193+16=19

Write a response. Show that 35÷7=535 \div 7=535÷7=5 is repeated subtraction.

Answer the question true or false. 72+92=(7+9)27^{2}+9^{2}=(7+9)^{2}72+92=(7+9)2

In this expression, which symbol is the base? 565^{6}56

In this expression, which symbol is the exponent? 454^{5}45

Use one of the following names to identify the property illustrated by this expression: associative, commutative, identity, or distributive. 25+88=88+2525+88=88+2525+88=88+25

Use one of the following names to identify the property illustrated by this expression: associative, commutative, identity, or distributive. 50+0=5050+0=5050+0=50

Choose a strategy and solve. -While shopping for used books, you note that the average price is about $\$ 8$ per book including tax. You have $\$ 94$ in your pocket. About how many books can you buy?

Choose a strategy and solve. -You need to purchase four tires for your car, and you found that the tire you need is $\$ 61.39$ per tire installed including all taxes. You have \$233 in your checking account. Do you have enough money in your checking account?

Use a calculator to solve. -After agreeing to purchase a car, you are told that your monthly payment will be $\$ 413.41$ for 24 months. In addition, you are required to make a down payment of $\$ 1,000$ . What will be the total amount you will pay for the car?

Use a calculator to solve. -You attend a college and are taking a mathematics class. A total of 32 students are registered for the course. The class is a 5 credit course, and the tuition rate is $\$ 35$ per credit. What is the total amount of tuition paid by all the students in the class?

Use a calculator to solve. -You have agreed purchase a washer and dryer for $\$ 1140$ including installation and taxes. You also agree to make a down payment of $\$ 192$ and pay the balance in four payments. How much is each of the four payments?

Write this expression in words. $3+16=19$

Write a response. Show that $35 \div 7=5$ is repeated subtraction.

Answer the question true or false. $7^{2}+9^{2}=(7+9)^{2}$

In this expression, which symbol is the base? $5^{6}$

In this expression, which symbol is the exponent? $4^{5}$

Use one of the following names to identify the property illustrated by this expression: associative, commutative, identity, or distributive. $25+88=88+25$

Use one of the following names to identify the property illustrated by this expression: associative, commutative, identity, or distributive. $50+0=50$