Title: Unit 1 Quiz
Course: Technical Math for Industry

Q: What does the digit 7 represent in 701,280?
- Seven hundred thousand (Correct. The digit 7 represents 700,000 because it is in the hundred thousands place.)
- Seven thousand (Incorrect. Seven thousand would be represented by a 7 in the thousands place.)
- Seven hundred (Incorrect. Seven hundred would be represented by a 7 in the hundreds place.)
- Seventy thousand (Incorrect. Seventy thousand would be represented by a 7 in the ten thousands place.)
A: Seven hundred thousand

Q: A satellite moves through space at a rate of 107,208 kilometers per hour. What is this number in word form?
- One hundred seventy thousand, twenty-eight. (Incorrect. Remember to break the number down into thousands and ones.)
- One hundred seven thousand, two hundred eight. (Correct. The digits to the left of the comma do represent thousands.)
- One hundred seven thousand, twenty-eight. (Incorrect. Remember to break the number down into thousands and ones.)
- One hundred seventy thousand, two hundred eight. (Incorrect. Remember to break the number down into thousands and ones.)
A: One hundred seven thousand, two hundred eight.

Q: What is two hundred thousand, six hundred two in expanded form?
A: (a choice with no text)
If wrong: Incorrect. Remember to read the word form of the number carefully.
If right: Correct. In standard form, the number is 200,602.
If wrong: Incorrect. Remember to read the word form of the number carefully.
If wrong: Incorrect. Remember that in expanded form each place value is separated.

Q: Round 62,981 to the nearest ten.
- 62,990 (Incorrect. The number 81 rounds down to 80.)
- 62,980 (Correct. The number 81 rounds down to 80.)
- 62,900 (Incorrect. Remember that you are rounding to the nearest ten.)
- 63,000 (Incorrect. Remember that you are rounding to the nearest ten.)
A: 62,980

Q: A marathon is a race that is 46,145 yards long. Round this number to the nearest hundred.
- 46,200 (Incorrect. You do not round up, because the tens place is less than 5.)
- 46,150 (Incorrect. This number is the result of rounding to the nearest ten.)
- 46,100 (Correct. The number 145 rounded to the nearest hundred is 100, so 46,145 rounded to the nearest hundred is 46,100.)
- 46,000 (Incorrect. This number is the result of rounding to the nearest thousand.)
A: 46,100

Q: Use the number line to determine which statement is true.
- The value at point P is greater than the value at point S. (Incorrect. The point P is to the left of point S, so its value is less.)
- The value at point S is less than the value at point Q. (Incorrect. The point S is to the right of point Q, so its value is greater.)
- The value at point R is greater than the value at point Q. (Correct. On the number line, point R is to the right of point Q.)
- The value at point R is less than the value at point P. (Incorrect. The point R is to the right of point P, so its value is greater.)
A: The value at point R is greater than the value at point Q.

Q: A DVD sales rack has 21 comedies, 14 dramas, 11 science fiction movies, and 31 action movies. How many DVDs are on the sales rack?
- 76 (Incorrect. Remember to add each place value separately.)
- 77 (Correct. Correct.)
- 78 (Incorrect. Remember to add each place value separately.)
- 79 (Incorrect. Remember to add each place value separately.)
A: 77

Q: A basketball player plays 1,681 minutes the first year of his career, 2,583 minutes the second year of his career, and 2,216 minutes the third year of his career. How many minutes has he played in three years?
- 5,370 minutes (Incorrect. Remember to regroup.)
- 6,480 minutes (Correct. Correct.)
- 7,480 minutes (Incorrect. Remember to be careful when regrouping.)
- 6,370 minutes (Incorrect. Remember to regroup the ones and tens places.)
A: 6,480 minutes

Q: The diagram is a floor plan for a new building. Find the perimeter.
- 86 (Incorrect. Remember to regroup.)
- 103 (Incorrect. Write out the problem vertically to see it more clearly.)
- 93 (Incorrect. Write out the problem vertically to see it more clearly.)
- 96 (Correct. Correct.)
A: 96

Q: A football field is in the shape of a rectangle that measures about 120 yards long and 53 yards wide. What is the distance around a football field?
- 253 yards (Incorrect. Remember that "distance" in this problem means perimeter.)
- 553 yards (Incorrect. Remember that "distance" in this problem means perimeter.)
- 173 yards (Incorrect. Remember that "distance" in this problem means perimeter.)
- 346 yards (Correct. Correct.)
A: 346 yards

Q: Ian has a notebook with 256 blank pages. He writes on 42 pages. How many blank pages are left?
- 226 (Incorrect. Remember to check the problem to make sure the solution makes sense.)
- 224 (Incorrect. Remember to align each place value before subtracting.)
- 216 (Incorrect. Remember to check the problem to make sure the solution makes sense.)
- 214 (Correct. Correct.)
A: 214

Q: Eduardo gets a monthly paycheck of $3,112. After he pays his monthly rent of $545, how much of his pay does he have left?
- $2,557 (Incorrect. Remember when regrouping to cross out the old number and write the new one in the correct place value.)
- $2,567 (Correct. Correct.)
- $2,667 (Incorrect. Remember when regrouping to cross out the old number and write the new one in the correct place value.)
- $2,657 (Incorrect. Remember when regrouping to cross out the old number and write the new one in the correct place value.)
A: $2,567

Q: Tony owes the bank $8,225 for a car loan. This month Tony paid $887 on his loan. How much does Tony owe the bank after the loan payment?
- $7,328 (Incorrect. Remember to set up the problem correctly. It should be .)
- $7,228 (Incorrect. Remember to set up the problem correctly. It should be .)
- $7,338 (Correct. Correct.)
- $7,238 (Incorrect. Remember to set up the problem correctly. It should be .)
A: $7,338

Q: Estimate the difference between 3,894,256 and 756,533 by rounding each number to the nearest thousand.
- 3,138,000 (Incorrect. Remember 3,894,256 rounds down to 3,894,000.)
- 3,139,000 (Incorrect. Remember, 3,894,256 rounds down to 3,894,000 and 756,533 rounds up to 757,000.)
- 3,137,000 (Correct. Correct. 3,894,256 rounds down to 3,894,000 and 756,533 rounds up to 757,000.)
- 4,561,000 (Incorrect. Remember, you are finding the difference, and not the sum.)
A: 3,137,000

Q: Use the diagram to estimate the perimeter, rounding each number to the nearest hundred.
- 13,800 feet (Incorrect. Remember, 1,566 rounds up to 1,600 and 5,234 rounds down to 5,200.)
- 13,600 feet (Correct. Correct. The number 1,566 rounds up to 1,600 and the number 5,234 rounds down to 5,200.)
- 13,400 feet (Incorrect. Remember, 1,566 rounds up to 1,600 and 5,234 rounds down to 5,200.)
- 14,000 feet (Incorrect. Remember that you are rounding to the nearest hundred, not thousand.)
A: 13,600 feet

Q: Jenna is buying 6 new shirts at $18 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending?
A: (a choice with no text)
If right: Correct. This is a division statement, and 18 divided by 6 equals 3.
If wrong: Incorrect. You can use addition or multiplication to calculate the total.
If wrong: Incorrect. A dot is one way to express multiplication.
If wrong: Incorrect. A multiplication symbol is one way to express multiplication.

Q: A scientist invents a car that can travel for many hours without stopping for fuel. The car travels around a track at 46 miles an hour for 24 hours. At the end of the 24 hours, how far has the car traveled?
- 1,084 miles (Incorrect. Remember to carry the 2 to the tens place.)
- 70 miles (Incorrect. This is a multiplication problem, not an addition problem.)
- 824 miles (Incorrect. Remember to multiply each piece.)
- 1,104 miles (Correct.)
A: 1,104 miles

Q: There are 50 pennies in a roll. If you have 130 rolls of pennies, how many pennies do you have?
- 180 pennies (Incorrect. Remember to multiply, not add.)
- 650 pennies (Incorrect. Remember to get the correct number of 0s.)
- 6,500 pennies (Correct.)
- 65,000 pennies (Incorrect. Remember to get the correct number of 0s.)
A: 6,500 pennies

Q: Merryvale Orchards sold 85 bags of oranges yesterday. Each bag contained 32 oranges. Round each number to the nearest ten to estimate the number of oranges sold.
- 2,700 oranges (Correct. You round 85 up to 90 and 32 down to 30.)
- 270 oranges (Incorrect. Remember to put in the correct number of zeros.)
- 2,720 oranges (Incorrect. Remember to round.)
- 120 oranges (Incorrect. Remember to multiply, not add.)
A: 2,700 oranges

Q: Eduardo is painting a rectangular wall that is 96 inches high and 120 inches long. What is the area of the wall?
- 1,152 square inches (Incorrect. Make sure that you have multiplied all the digits.)
- 432 square inches (Incorrect. Remember to multiply the height by the length to find the area.)
- 10,800 square inches (Incorrect. Make sure that you have multiplied all the digits.)
- 11,520 square inches (Correct. The area is the height times the length.)
A: 11,520 square inches

Q: Micah is twice as old as Richard. Richard is four times as old as Ken. Ken is six years old. How old is Micah?
- 24 years old (Incorrect. Richard is 24 years old. Micah is twice as old as Richard.)
- 8 years old (Incorrect. Micah is 8 times as old as Ken, not 8 years old. Therefore, he is 8 times 6, or 48 years old.)
- 12 years old (Incorrect. "Twice as old" means multiply by 2. "Four times as old" means multiply by 4. Therefore, you multiply 2 times 4 times 6, you do not add these numbers.)
- 48 years old (Correct. Micah's age can be found by multiplying 6 by 4, then multiplying the product by 2.)
A: 48 years old

Q: Which expression can be used to show a group of twenty books divided into five piles?
A: (a choice with no text)
If right: Correct. The top is the whole amount and the bottom is the number of groups.
If wrong: Incorrect. These are the correct numbers, but they are in the wrong order.
If wrong: Incorrect. The first number should be the whole amount, or 20, and the second number should be the number of groups, or 5.
If wrong: Incorrect. The top is correct but the bottom should be the number of groups, or 5.

Q: How much is 77 divided by 5?
- 15 (Incorrect. . Since 77 is 2 more than this, there is a remainder of 2.)
- 15 R1 (Incorrect. . Since 77 is 2 more than this, there is a remainder of 2.)
- 15 R2 (Correct.)
- 15 R3 (Incorrect. . Since 77 is 2 more than this, there is a remainder of 2.)
A: 15 R2

Q: _____
- 16 R13 (Incorrect. 861 divided by 53 equals 16 R13)
- 800 (Incorrect. This is a division problem.)
- 16 R5 (Correct. Correct. 16 times 53 plus 5 equals 853.)
- 16 (Incorrect. 848 divided by 53 equals 16.)
A: 16 R5

Q: _____
- 650 (Correct. Multiplying 650 by 700 gives a product of 455,000.)
- 454,300 (Incorrect. This is a division problem.)
- 65,000 (Incorrect. Remember to drop the two zeros at the end.)
- 6,500 (Incorrect. Remember to drop a zero at the end.)
A: 650

Q: Which of the following problems would NOT have a solution?
- Ten pizzas are shared equally among five people, and you want to know how much each person gets. (Incorrect. This does have a solution, because you can divide ten by five.)
- Five pizzas are shared equally among four people, and you want to know how much each person gets. (Incorrect. This does have a solution, though not a whole number, because you can divide five by four.)
- Zero pizzas are shared equally among five people, and you want to know how much each person gets. (Incorrect. This does have a solution, because you can divide zero by five.)
- Four pizzas are shared equally among zero people, and you want to know how much each person gets. (Correct. This does not have a solution, because you cannot divide by zero.)
A: Four pizzas are shared equally among zero people, and you want to know how much each person gets.

Q: A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 130 popped kernels. There are 1,450 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed and how many popped kernels are in the last box?
- 120 boxes with 20 popped kernels in the last box (Incorrect. A place value error has been made. Try solving a simpler problem: .)
- 11 boxes with 20 popped kernels in the last box (Incorrect. If 11 boxes were filled, there would be popped kernels, so there must be more than 11 boxes to hold 1,450 kernels.)
- 12 boxes with 20 popped kernels in the last box (Correct. R20; the remainder of 20 popcorn kernels are in the twelfth^ box.)
- 11 boxes with 130 popped kernels in the last box (Incorrect. If 11 boxes were filled, there would be popped kernels, so there must be more than 11 boxes to hold 1,450 kernels.)
A: 12 boxes with 20 popped kernels in the last box

- 45 (Correct. Adding 0 to a number does not change a number.)
- 450 (Incorrect. You do not put 0 in the ones place and move other digits left by one place value. You do this only if you are multiplying a number by 10.)
- 0 (Incorrect. The answer will be 0 if you multiply 45 by 0, but not if you add 45 to 0.)
- 46 (Incorrect. This will be the correct result if you add 1, not 0.)
A: 45

Q: _____
- 5311 (Incorrect. First multiply and then multiply the result by 1.)
- 530 (Incorrect. You do not put 0 in the ones place and move other digits left by one place value. You do this only if you are multiplying a number by 10.)
- 55 (Incorrect. The dot symbol tells you to multiply, not add.)
- 53 (Correct. Multiplying a number by 1 repeatedly does not change a number.)
A: 53

Q: Which choice shows rewritten correctly using the commutative property and then simplified correctly?
A: (a choice with no text)
If wrong: Incorrect. The commutative property is not applied correctly (an addend is replaced by two addends with an equivalent sum), and the result is not simplified correctly.
If wrong: Incorrect. The commutative property is applied correctly, but the result is not simplified correctly.
If wrong: Incorrect. Although the result is simplified correctly, the commutative property is not applied correctly. (An addend is replaced by two addends with an equivalent sum.)
If right: Correct. Using the commutative property, the order of the addends is changed. The answer is simplified correctly.

Q: Which choice shows rewritten correctly using the commutative property and then simplified correctly?
A: (a choice with no text)
If right: Correct. Using the commutative property, the order of the factors is changed. The answer is simplified correctly.
If wrong: Incorrect. The commutative property is applied correctly, but the result is not simplified correctly.
If wrong: Incorrect. Although the result is simplified correctly, the commutative property is not applied correctly. (The order of the digits in one factor is changed.)
If wrong: Incorrect. The commutative property is not applied correctly. (The order of the digits in one factor is changed.) The result is not simplified correctly.

Q: Which choice shows correctly rewritten using the associative property and then correctly simplified?
A: (a choice with no text)
If right: Correct. Using the associative property, the order of the addends is not changed, but the grouping is changed. The expression is simplified correctly.
If wrong: Incorrect. Using the associative property, the order of the addends is not changed. The expression is simplified correctly.
If wrong: Incorrect. Using the associative property, the addends are regrouped, but they do not change. The expression is simplified correctly.
If wrong: Incorrect. Using the associative property, the order of the addends is not changed. The expression is simplified correctly.

Q: Which choice shows correctly rewritten using the associative property and then correctly simplified?
A: (a choice with no text)
If wrong: Incorrect. Using the associative property, only the grouping of factors is changed. The expression is not simplified correctly because the digits of different numbers should not be combined to create new numbers.
If right: Correct. Using the associative property, the order of the factors is not changed but the grouping is changed. The expression is simplified correctly.
If wrong: Incorrect. Using the associative property, the order of the factors is not changed and factors should be grouped. The expression is simplified correctly.
If wrong: Incorrect. Using the associative property, the order of the factors is not changed. The expression is simplified correctly.

Q: Rewrite the expression using the distributive property of multiplication over addition.
A: (a choice with no text)
If wrong: Incorrect. The distributive property must be applied before adding.
If wrong: Incorrect. The number 2 is not distributed in this answer. The digits 3, 0, and 5 should not be combined to form 305 because the addition process is incorrect.
If wrong: Incorrect. This would be doubling the original value. To correctly distribute the 2, multiply the 30 by 2 and the 5 by 2.
If right: Correct. The 2 is correctly distributed so that it is used to multiply the 30 and the 5 separately.

Q: Rewrite the expression using the distributive property of multiplication over subtraction.
A: (a choice with no text)
If right: Correct. The 3 is correctly distributed so that it is used to multiply the 12 and the 10 separately.
If wrong: Incorrect. The 3 is not correctly distributed. The order of numbers should not be changed when applying the distributive property.
If wrong: Incorrect. This result incorrectly applies the commutative property to subtraction.
If wrong: Incorrect. The distributive property must be applied before subtracting.

Q: What is the value of ?
- 6 (Incorrect. This is the result of finding the value of , not .)
- 8 (Incorrect. This is the result of finding the value of , not .)
- 24 (Incorrect. The 4 is the exponent, so the question is asking to find 2 to the fourth power.)
- 16 (Correct.)
A: 16

Q: Write in exponential notation.
- 1,296 (Incorrect. 1,296 is equivalent to , but it is not written in exponential notation.)
A: (a choice with no text)
If wrong: Incorrect. Recall that the base is the number that is repeatedly multiplied, so in this problem the base should be 6.
If right: Correct. The base number 6 is multiplied by itself 4 times, so the equivalent expression is .
If wrong: Incorrect. Make sure to count the number of 6s that are multiplied, not the number of multiplication symbols.

Q: Is 125 a perfect square?
- Yes, because , and 100 and 25 are both perfect squares, so 125 will also be a perfect square. (Incorrect. Being a perfect square is a property that depends on multiplication, not on addition.)
- No, because perfect squares must be even numbers. (Incorrect. Perfect squares can be even or odd. For example, 49 and 64 are both perfect squares.)
- No, because there is no whole number that when multiplied by itself gives 125. (Correct. , which is less than 125, and , which is greater than 125. The square root of 125 must be between 11 and 12, but there are no whole numbers between 11 and 12, so 125 is not a perfect square.)
- Yes, because , so 125 is a perfect square. (Incorrect. A perfect square can be written as a factor multiplied by itself, not three identical factors multiplied together.)
A: No, because there is no whole number that when multiplied by itself gives 125.

Q: Simplify .
- 32 (Incorrect. Remember to multiply before subtracting.)
- 34 (Incorrect. Remember to simplify inside parentheses first.)
- 4 (Correct.)
- 94 (Incorrect. Remember to simplify inside parentheses first.)
A: 4

Q: Simplify .
- 95 (Correct.)
- 5 (Incorrect. Check to make sure you did not take a square root that is not in the original expression.)
- 39 (Incorrect. Remember to evaluate square roots before adding.)
- 91 (Incorrect. Remember to add and subtract in order from left to right.)
A: 95