Deck 1: Fundamentals of Algebra

Question 1

Graph the inequality:

A)
B)
C)
D)

Answer 1

Question 2

Graph the inequality:

A)
B)
C)
D)

Answer 2

Question 3

Graph the inequality:

A)
B)
C)
D)

Answer 3

Question 4

Graph the inequality:

A)
B)
C)
D)

Question 5

Graph the inequality:

A)
B)
C)
D)

Question 6

Graph the inequality:

A)
B)
C)
D)

Question 7

Graph the inequality:

A)
B)
C)
D)

Question 8

Graph the inequality:

A)
B)
C)
D)

Question 9

Graph the inequality:

A)
B)
C)
D)

Question 10

Graph the inequality:

A)
B)
C)
D)

Question 11

Graph the inequality:

A)
B)
C)
D)

Question 12

Write an inequality that represents the graph:

A)
B)
C)
D)

Question 13

Write an inequality that represents the graph:

A)
B)
C)
D)

Question 14

Write an inequality that represents the graph:

A)
B)
C)
D)

Question 15

Write an inequality that represents the graph:

A)
B)
C)
D)

Question 16

Write the equation in slope-intercept form of the line with the given slope and y-intercept:

A)
B)
C)
D)

Question 17

Write the equation in slope-intercept form of the line with the given slope and y-intercept:

A)
B)
C)
D)

Question 18

Write the equation in slope-intercept form of the line with the given slope and passing through the given point: slope =2; point (-1 , 9)

A)
B)
C)
D)

Question 19

Write the equation in slope-intercept form of the line with the given slope and passing through the given point:
slope = 0.5 ; point (3, 2, 8)

A)
B)
C)
D)

Question 20

Write the equation in slope-intercept form of the line that passes through the given points:

A)
B)
C)
D)

Question 21

Write the equation in slope-intercept form of the line that passes through the given points:

A)
B)
C)
D)

Question 22

Write the equation of the vertical line that passes through the point:

A)
B)
C)
D)

Question 23

Write the equation of the horizontal line that passes through the point:

A)
B)
C)
D)

Question 24

Identify the slope of the line that is perpendicular to the line:

A)
B)
C)
D)

Question 25

Write the equation in slope-intercept form of the line that is parallel to And passes through the point
.

A)
B)
C)
D)

Question 26

Write the equation in slope-intercept form of the line that is perpendicular to And passes through the point
.

A)
B)
C)
D)

Question 27

A line passes through the points And . Write the equation in slope-intercept form of the perpendicular line that passes through the point

A)
B)
C)
D)

Question 28

A line passes through the points And
. Write the equation in slope-intercept form of the parallel line that passes through the point

A)
B)
C)
D)

Question 29

Find the equation of the line parallel to That passes through the point

.

A)
B)
C)
D)

Question 30

Find the equation of the line perpendicular to That passes through the point
.

A)
B)
C)
D)

Question 31

Rewrite the equation in standard form:

A)
B)
C)
D)

Question 32

Find the x-intercept of:

A)
B)
C)
D)

Question 33

Find the y-intercept of:

A)
B)
C)
D)

Question 34

Find the slope of the line that passes through the given points:

A)
B)
C)
D)

Question 35

Find the slope of the line that passes through the given points:

A)
B)
C)
D)

Question 36

Find the slope of the line that passes through the given points:

A)
B)
C)
D) Undefined

Question 37

Find the slope of the line that passes through the given points:

A)
B)
C)
D)

Question 38

Find the slope of the line given by the equation:

A)
B)
C)
D)

Question 39

Find the slope of the line given by the equation:

A)
B)
C)
D) Undefined

Question 40

Find the slope of a line perpendicular to a line with slope
.

A)
B)
C)
D)

Question 41

Rewrite in slope-intercept form:

A)
B)
C)
D)

Question 42

Find the slope of the line given by the equation:

A)
B)
C)
D)

Question 43

Find the x-intercept of:

A)
B)
C)
D)

Question 44

Find the y-intercept of:

A)
B)
C)
D)

Question 45

Find the slope of the line parallel to the line:

A)
B)
C)
D)

Question 46

The monthly charge for lawn service increased from $53 to $92. Find the increase in the monthly charge.

A) $39
B) $53
C) $92
D) $145

Question 47

A bedroom carpet costs $25 per square yard. Find the cost to carpet a room that is 15 feet wide by 10 feet long.

A) $416.67
B) $375
C) $3750
D) $1250

Question 48

A student works 15 hr a week at a job that pays $7.50 per hour. Her bills are about $273 per week. If she can get a job paying $8.50 per hour after taxes, find the number of additional hours that she would need to work to pay her bills. Round up to the nearest whole number.

A) 18 hr
B) 21 hr
C) 19 hr
D) 20 hr

Question 49

The tuition and fees for an out-of-state student for one semester at a state college are $7254. A student registers for 12 credits. This represents 12 hours of class time per week. The semester is 17 weeks long. There are two semesters in each school year. Find the price per hour of class time. Round to the nearest whole number.

A) $35
B) $36
C) $12
D) $15

Question 50

Roofing shingles are sold by the "square". A square can cover an area of roof that is 13 ft long and 13 ft wide. A home improvement store sells shingles by the square or by the bundle. The area of a roof is
Find the minimum number of squares needed to shingle this roof. Round up to the nearest square.

A) 20
B) 19
C) 21
D) 18

Question 51

To maintain eligibility, an athlete needs a test average in math class of 75%. There are six tests in the class. On the first five tests, the athlete scored 82%, 70%, 64%, 73%, and 71%. Find the score needed on the last test to have a test average of 75%. .

A) 90%
B) 88%
C) 86%
D) 84%

Question 52

A final semester score depends on tests (60%), homework (10%), final exam (25%), and participation (5%). A student has a test score average of 82, a homework score average of 72, a score on the final exam of 92, and a class participation score average of 13. Find the final semester score for this student. Round to the nearest whole number.

A) 80
B) 82
C) 81
D) 79

Question 53

An employee earns $2400 in gross wages each month. For medical and dental insurance, the employee pays $42 per month and the employer pays $627 per month. Total compensation is the amount of gross wages plus the amount that the employer pays for insurance. Find the total compensation per year for the employee. .

A) $36,324
B) $35,820
C) $36,828
D) $20,772

Question 54

An IV uses 15 drops to deliver 1 mL of solution . A patient needs to receive a solution at a rate of . Find the needed speed of the IV in drops per minute. Round to the nearest whole number if necessary.

A) 180
B) 20
C) 3
D) 11

Question 55

In 1998, there were nine breeding pairs of wolves in Idaho. By 2004, there were 26 breeding pairs in Idaho. What was the percent increase in breeding pairs?

A) 179%
B) 189%
C) 199%
D) 169%

Question 56

A savings account pays 1% annual interest, compounded daily. When interest is compounded daily, the interest owed is calculated every day and added to the account. The initial investment is $2000. The money is kept in the savings account for two years. Choose the best estimate for the value of the investment after two years.

A) $2012
B) $2112
C) $2240
D) $2040

Question 57

The sale price of a television is $504. It is marked down 20% from its original price. What was the original price? Round to the nearest hundredth if necessary.

A) $604.80
B) $630.00
C) $575.00
D) $545.00

Question 58

A package of dried plums weighs 12 oz. The nutrition information on the label uses a serving size of 1.5 oz. How many servings are in each package?

A) 8
B) 10
C) 12
D) There is not enough information to answer the question.

Question 59

A student at the City College of New York has a $6400 Pell Grant. Her total tuition bill for two semesters is $5000. She uses her Pell Grant to pay this tuition. Find the amount remaining in her grant after paying tuition.

A) $1400
B) $7800
C) $2800
D) No money remains. She will owe an additional $3600.

Question 60

A traveler has 3000 U.S. dollars. In Paris, the traveler changes this money into euros And spends 530 euros. In London, he changes his remaining euros into British pounds And spends 69 pounds. He finally changes his remaining pounds into dollars . Ignoring any currency change fees, find the final number of U.S. dollars. Round to the nearest whole number.

A) $2248
B) $2258
C) $2238
D) $2263

Question 61

Evaluate:

A)
B)
C)
D)

Question 62

Evaluate:

A)
B)
C)
D)

Question 63

Evaluate:

A)
B)
C)
D)

Question 64

Evaluate:

A)
B)
C)
D)

Question 65

Evaluate:

A)
B)
C)
D)

Question 66

Evaluate:

A)
B)
C)
D)

Question 67

Use place value notation and rewrite in its base unit: 80 kilograms

A) 80 grams
B) 80,000 grams
C) 800,000 grams
D) 800 grams

Question 68

Use unit analysis to convert into the given units:

A)
B)
C)
D)

Question 69

A patient needs 0.7 g of ampicillin. One capsule of ampicillin contains 175 mg. How many capsules will the patient need?

A) 1
B) 70
C) 4
D) 7

Question 70

Use unit analysis to convert into the given units:

A)
B)
C)
D)

Question 71

As of July 2012, the national debt was $10.59 trillion. Write trillion as a power of 10:

A)
B)
C)
D)

Question 72

Evaluate:

A)
B)
C)
D)

Question 73

Evaluate:

A)
B)
C)
D)

Question 74

Evaluate:

A)
B)
C)
D)

Question 75

Evaluate:

A)
B)
C)
D)

Question 76

Use interval notation to represent the solution:

A)
B)
C)
D)

Question 77

Solve:

A)
B)
C)
D)

Question 78

Solve:

A)
B)
C)
D)

Question 79

Solve:

A)
B)
C)
D)

Question 80

Solve:

A)
B)
C)
D)