Quiz about 09 Basic Algebra Skills (Review of Units 1 and 2)

Question 1

True or False: Expressions are evaluated, equations are solved.

Accepted Answer

True

Answer

False

Question 2

To ___________________  an expression is to write it in a form that uses fewer symbols, and/or makes it easier to understand.

Accepted Answer

Simplify

Answer

Substitute

Answer

Solve

Answer

State

Question 3

When ___________________, it is always a good idea to use parentheses

Accepted Answer

Substituting

Answer

Simplifying

Answer

Solving

Answer

Distributing

Question 4

Two numbers are opposites of each other if and only if their _____________ is zero.

Accepted Answer

Sum

Answer

Difference

Answer

Product

Answer

Quotient

Question 5

Two numbers are reciprocals of each other if and only if their __________________ is 1.

Accepted Answer

Product

Answer

Difference

Answer

Sum

Answer

Quotient

Question 6

Examples of these include add, subtract, multiply and divide...

Accepted Answer

Operations

Answer

Properties

Answer

Expressions

Answer

Relations

Question 7

___________________ is the name for the set of tools we use to find solutions to relations (or vice versa.)

Accepted Answer

Algebra

Answer

Geometry

Answer

Statistics

Answer

Calculus

Question 8

A/an ___________________ is a letter that represents an unknown quantity, or a quantity with a value that could change.

Accepted Answer

Variable

Answer

Equation

Answer

Expression

Answer

Inequality

Question 9

Which of the following is NOT an integer?

Accepted Answer

1/2

Answer

0

Answer

-3

Answer

3

Question 10

An integer is a number that is either a whole number or the ______________ of a whole number.

Accepted Answer

Opposite

Answer

Inverse

Answer

Reciprocal

Answer

Contradiction

Question 11

The Power operation represents repeated _______________________.

Accepted Answer

Multiplication

Answer

Addition

Answer

Subtraction

Answer

Division

Question 12

Which of the following numbers represents the largest quantity?

Accepted Answer

7/2

Answer

2.7

Answer

27%

Answer

2/7

Question 13

Which of the following operations is commutative?

Accepted Answer

Addition

Answer

Subtraction

Answer

Division

Answer

Power (Exponentiation)

Question 14

Dividing by anything is the same as multiplying by its...

Accepted Answer

Reciprocal

Answer

Opposite

Answer

Complement

Answer

Decimal

Question 15

A number is a/an ______________ if and only if it is a whole number or the opposite of a whole number.

Accepted Answer

Integer

Answer

Natural Number

Answer

Rational Number

Answer

Real Number

Question 16

Darren's Canning Company has two canning machines. One machine produces 300 cans per hour and the other produces 500 cans per hour.
Darren's receives an order to produce 12,000 cans. If he puts both machines to work on this order, how long will it take to complete?

Accepted Answer

15 hours

Answer

60 hours

Answer

12.5 hours

Answer

17 hours

Question 17

Jimmy was going on vacation. His parents drove the first day and went 390 miles in 6 hours. The next day they drove for 8 hours. If they went the same speed the second day as they did on the first, how far did they travel the second day?

Accepted Answer

520 miles

Answer

292.5 miles

Answer

400 miles

Answer

652.5 miles

Question 18

Convert the following fraction into a decimal.
24/48

Accepted Answer

0.5

Answer

24.48

Answer

2.4

Answer

2.0

Question 19

What is 20% of 75?

Accepted Answer

15

Answer

60

Answer

6

Answer

1.5

Question 20

200 children attended the school play. Of the total attendance, 40% were boys. How many girls attended the school play?

Accepted Answer

120

Answer

800

Answer

180

Answer

80

Question 21

A Chicago Cubs baseball cap costs $30.  Michael has a coupon that will save him 30% of the  price. How much money will Michael pay for the cap?

Accepted Answer

$21.00

Answer

$9.00

Answer

$22.00

Answer

$21.36

Question 22

Out of 180 students, 130 are going on the field trip. What percent of students are going on the field trip?

Accepted Answer

about 72%

Answer

about 1.38%

Answer

310%

Answer

about 0.72

Question 23

Each lap around Spring Reservoir is  2  3/8 miles long. Terrance walked 2 1/2 laps around the reservoir. How many miles did Terrance walk?

Accepted Answer

5  15/16 miles

Answer

4  3/16 miles

Answer

5  1/4 miles

Answer

5  3/8 miles

Question 24

Tom rides his bike 1 1/4 miles round trip to work.  He works 5 days each week.  How far will Tom ride his bike to and from work in 3 weeks?

Accepted Answer

18 3/4 miles

Answer

6 1/4 miles

Answer

15 1/4 miles

Answer

18 1/4 miles

Question 25

Apples cost $1.48 per pound at the grocery store. Sara bought 6 pounds of apples. Steve bought 10 pounds of apples.  How much more did Steve spend on apples than Sara?

Accepted Answer

$5.92

Answer

$2.96

Answer

$8.88

Answer

$14.80

Question 26

If an object is traveling 88 feet per second, what is its speed in miles per hour?
[Recall that there are 5,280 feet in a mile.]

Accepted Answer

60 mph

Answer

.017 mph

Answer

1 mph

Answer

129 mph

Question 27

On Saturday, Dr. Morrison drove 340 miles in 5 hours. On Sunday, he drove 198 in 3 hours. Based on this information, which statement is true?

Accepted Answer

His rate on Sunday was 2 miles per hour slower than his rate on Saturday.

Answer

His rate on Saturday was 2 miles per hour slower than his rate on Sunday.

Answer

His rate on Saturday was the same as his rate on Sunday.

Answer

His rate on Sunday was 2 miles per hour faster than his rate on Saturday.

Question 28

Distribute:
3(-6x-3)

Accepted Answer

-18x-9

Answer

18x+9

Answer

12x+6

Answer

18x-9

Question 29

Is the statement below an expression or an equation?
6y + 4

Accepted Answer

Expression

Answer

Equation

Answer

Both

Answer

Neither

Question 30

In the expression 4x + 35, the "4" is a _________ of "x"

Accepted Answer

Coefficient

Answer

Exponent

Answer

Term

Answer

Linear Term

Question 31

Simplify by combining like terms: 1 - 10a + 7

Accepted Answer

8 - 10a

Answer

8 - 26a

Answer

8 - 14a

Answer

8 - 32a

Question 32

Simplify using the distributive property:
-2(2m - 12)

Accepted Answer

-4m + 24

Answer

88m - 66

Answer

92m - 66

Answer

120m + 60

Question 33

Simplify :
12b + 7(2b + 2)

Accepted Answer

26b + 14

Answer

22b + 11

Answer

26b + 11

Answer

26b + 20

Question 34

Find the difference. Subtraction is not your friend!!:
(8 - u) - (5u + 1)

Accepted Answer

-6u + 7

Answer

6u + 7

Answer

-4u + 7

Answer

4u - 7

Question 35

What is 3.5 turned into a fraction?

Accepted Answer

3 1/2

Answer

7/3

Answer

3 1/3

Answer

3.5%

Question 36

What is a numerator?

Accepted Answer

The number over fraction bar

Answer

A fraction

Answer

A percent

Answer

The number under fraction bar

Question 37

What is 70% when converted to standard form?

Accepted Answer

0.7

Answer

0.10

Answer

0.75

Answer

0.86

Question 38

What is the percent?

Accepted Answer

60%

Answer

20 %

Answer

80%

Answer

.60%

Question 39

0.60 is what fraction ?

Accepted Answer

3/5

Answer

1/6

Answer

2/3

Answer

6/5

Question 40

The length of a desk is 3.5 feet. How many centimeters is the length?
(there are 2.54 cm in an inch)

Accepted Answer

106.68

Answer

60

Answer

120.23

Answer

117.12

Question 41

Write 11/25 as a percent

Accepted Answer

44%

Answer

11%

Answer

22%

Answer

55%

Question 42

Which of these sets is in order from greatest to least ?

Accepted Answer

0.8, 0.5, 0.09, 0.02

Answer

0.45, 0.09, 0.9, 0.5

Answer

1 , 0.4, 0.8, 5

Answer

0.64, 0.98, 0.55, 0.44

Question 43

How do you change a decimal to a percent?

Accepted Answer

Move the decimal 2 places to the the RIGHT or multiply by 100

Answer

Move the decimal 2 places to the the LEFT or multpliy by 100

Answer

Move the decimal 1 place to the the LEFT or multpliy by 10

Answer

Move the decimal 1 place to the the RIGHT or divide by 10

Question 44

Convert 3/8 to a Percent.

Accepted Answer

37.5%

Answer

3.75%

Answer

267%

Answer

38%

Question 45

Write the percent as a decimal:
217%

Accepted Answer

2.17

Answer

.0217

Answer

0.217

Answer

21.7

Question 46

Evaluate the expression.

Accepted Answer

11

Answer

15

Answer

-15

Answer

-11

Question 47

211 lbs. is how many kilograms? There are 2.2 lbs. in a kilogram.

Accepted Answer

95.90

Answer

95794.0

Answer

9.59x10^-11

Answer

.9590

Question 48

Convert 300 meters to centimeters. There are 100 centimeters in a meter.

Accepted Answer

30,000 cm

Answer

3000 cm

Answer

0.3 cm

Answer

3 cm

Question 49

What is 0.8% expressed in standard notation?

Accepted Answer

0.08

Answer

0.008

Answer

8

Answer

80

Question 50

What is 2.32 expressed as a Percent?

Accepted Answer

232%

Answer

23.2%

Answer

0.232%

Answer

0.0232%

Question 51

Which of the fractions below is equivalent to the repeating decimal 0.1666666666....?

Accepted Answer

1/6

Answer

4/25

Answer

1/16

Answer

17/100

Question 52

Which of the decimals below is equivalent to the fraction 10/3 ?

Accepted Answer

3.333333......

Answer

10.3

Answer

1.3

Answer

0.333333.......

Question 53

Solve for "x"

Accepted Answer

x = 18

Answer

x = 23.5

Answer

x = 12.5

Answer

x = 16

Question 54

A recipe calls for three pinches of salt for every five servings. If you are planning to serve 80 people with this recipe, how many pinches of salt do you need?

Accepted Answer

48

Answer

133 1/3

Answer

28 1/3

Answer

25

Question 55

Evaluate (1/9) + (2/5) =

Accepted Answer

23/45

Answer

3/14

Answer

2/45

Answer

23/14

Question 56

True or False: Evaluation is a type of simplification

Accepted Answer

True

Answer

False

Question 57

Fill in the blank: Never operate with Percents. To work with a Percent, always convert it to a ___________________ first, or use the "%" button on your calculator.

Accepted Answer

Decimal or fraction

Answer

Whole number

Answer

Integer

Answer

None of these

Question 58

Consider the math work shown in the box to the right. What is the name of this procedure?

Accepted Answer

Substituting

Answer

Simplifying

Answer

Solving

Answer

Distributing

Question 59

Which of the following is the reciprocal of 5?

Accepted Answer

1/5

Answer

-5

Answer

-1/5

Answer

1

Question 60

Unit skills: You are planning a vacation to Mexico. One dollar is worth about six Pesos, the currency that is used in Mexico. A hotel room is offering a room for 420 pesos per night. How much is this price in dollars?

Accepted Answer

$70

Answer

$2,520

Answer

$426

Answer

$414

Question 61

Round 5,721.8 to the nearest hundred. What is the result?

Accepted Answer

5,700

Answer

6,000

Answer

5,720

Answer

5,722

Question 62

Unit skills: Consider the table to the right from a record of NASCAR practices on the same track. Which driver had the slowest mean practice speed?

Accepted Answer

Jeff Gordon

Answer

Jimmy Johnson

Answer

Tony Stewart

Answer

Kurt Bush

Question 63

Which of the following operations is commutative?

Accepted Answer

Addition

Answer

Subtraction

Answer

Exponentiation (Powers)

Answer

Division

Question 64

"8x" means....

Accepted Answer

8 times x

Answer

8 plus x

Answer

8 divided by x

Answer

8 minus x

09 Basic Algebra Skills (Review of Units 1 and 2)

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