Deck 6: Topics in Algebra

Question 1

Write the phrase in symbols: Eight less than three times a number.

A)
B)
C)
D)

Answer 1

C

Question 2

A person sold their house for $175,000 and made a profit of 49%. How much did they pay for their
Home?

A)$105,704.69
B)$117,449.66
C)$129,194.63
D)$260,750.00

Answer 2

B

Question 3

If the perimeter of a triangular flower bed is 15 feet with two sides the same length and the third side
3 feet longer, what are the measures of the three sides of the flower bed?

Answer 3

4 feet, 4 feet, and 7 feet

Question 4

Write in symbols: A number divided by 3.

Question 5

Write the ratio as a fraction and reduce to lowest terms. 3 to 7

Question 6

Write the ratio as a fraction and reduce to lowest terms. 4 feet to 20 inches

A)
B)
C)
D)

Question 7

A math class containing 124 students was divided into two sections. One section has four more
students than the other. How many students were in each section?

Question 8

Write in symbols: A number increased by 7.

Question 9

Three times a number is 10 less than five times the number. Find the number.

Question 10

Write in symbols: 9 less than a number.

Question 11

Write the ratio as a fraction and reduce to lowest terms. 20:14

A)
B)
C)
D)

Question 12

Solve the proportion.

Question 13

Solve the proportion.

Question 14

Write the ratio as a fraction and reduce to lowest terms. 6 cents to 14 cents

Question 15

The larger of two numbers is 5 more than the smaller number. The sum of the numbers is 13. Find
the numbers.

Question 16

The difference of two numbers is 2. The sum of the numbers is 8. Find the numbers.

Question 17

A basketball team played 84 games and won 10 more games than it lost. Find the number of games
The team won.

A)42 games
B)47 games
C)37 games
D)27 games

Question 18

Solve the proportion.

A)4
B)
C)
D)

Question 19

Solve the proportion.

A)
B)
C)32
D)8

Question 20

The cost, including sales tax, of a shirt is $16.05. If the sales tax is 7%, find the price of the shirt
Before the tax was added.

A)$16
B)$14
C)$15
D)$17

Question 21

Plot (1.5, -3.9)on the Cartesian plane.

Question 22

Under certain conditions, the pressure of gas varies inversely with its volume. If a gas with a volume
Of 50 cubic inches has 29 pounds of pressure, find the amount of pressure 145 cubic inches of gas is
Under.

A)
B)29 lb
C)
D)10 lb

Question 23

A puppy gets cups of food per day. Write a variation equation that describes how many cups of
food she eats in terms of days, then use it to find how much she eats in 6 days and in 4 weeks.

Question 24

The time to complete a project is inversely proportional to the number of people who are working
On the project. A class project can be completed by 2 students in 36 days. In order to finish the
Project in 9 days, how many more students should the group add?

A)8 more students
B)18 more students
C)16 more students
D)6 more students

Question 25

Plot (-4, 0)on the Cartesian plane.

Question 26

A person drives 5,000 miles in 6 months. How many miles will that person drive in 3 years?

A)10,000 miles
B)90,000 miles
C)2,500 miles
D)30,000 miles

Question 27

Plot (0, 2)on the Cartesian plane.

Question 28

Plot (3, -5)on the Cartesian plane.

Question 29

Graph

Question 30

Which point is graphed below?

A)(-5, 4)
B)(4, -5)
C)(5, -4)
D)(-4, 5)

Question 31

Plot (-3, -3)on the Cartesian plane.

Question 32

Graph

Question 33

Graph

Question 34

If everyone had the same body proportions, your weight in pounds would vary directly with the cube
Of your height in feet. Assume the average height and weight of a female in your math class is 5'5"
And 130 pounds. Use this information to write a variation equation then use it to find the weight of the female
Below if they had the same body type as the average female. Round answer to the nearest pound.
Kelly 5'2"

A)124 lb
B)108 lb
C)119 lb
D)113 lb

Question 35

Graph

Question 36

At a certain restaurant, one out of every 8 customers orders a hamburger. If the restaurant has 200
Customers in one day, how many hamburgers will they sell?

A)24 hamburgers
B)27 hamburgers
C)26 hamburgers
D)25 hamburgers

Question 37

Graph

A)
B)
C)
D)

Question 38

Plot the point (-4, 3)on the Cartesian plane.

A)
B)
C)
D)

Question 39

A 6-foot pole casts a shadow of 5 feet. How tall is a tree with a shadow of 16 feet?

Question 40

A community college has 3,000 students and 90 instructors. The college plans that enrollment will
Be 3,500 next year. How many new instructors should be hired if the college wants to keep the
Same student to instructor ratio?

A)77 instructors
B)15 instructors
C)105 instructors
D)13 instructors

Question 41

A newspaper advertisement costs $5.00 per week to run the ad plus a setup charge of $30.00. Find
The cost of running the ad for 5 weeks.

A)$150.00
B)$55.00
C)$175.00
D)$25.00

Question 42

Find the coordinates of the x-intercept and the y-intercept.

Question 43

Graph y = 4.

Question 44

(i)Write the equation in the slope-intercept form.
(ii)Find the slope and y-intercept.
(iii)Draw the graph of the line.

Question 45

Graph

Question 46

Find the coordinates of the x-intercept.

A)(12, 0)
B)(0, 12)
C)(0, 6)
D)(6, 0)

Question 47

Find the slope of the line passing through the points (-6, -1)and (-2, -5).

Question 48

Graph

Question 49

Graph .

Question 50

Find the y-intercept.

A)(0, -2)
B)(-8, 0)
C)(-2, 0)
D)(0, -8)

Question 51

The number of women who use a computer at work in Elbonia can be modeled by the equation
Y =7,178x + 10,514, where x is the number of years from now. How many Elbonian women will be
Using a computer at work 10 years from now if this trend continues?

A)176,920 women
B)82,294 women
C)112,318 women
D)17,692 women

Question 52

Write the equation in the slope-intercept form.

Question 53

Find the slope.

Question 54

Graph x = 3.

A)
B)
C)
D)

Question 55

Graph y = -1.

Question 56

Find the slope of the line passing through the points (3, 1)and (0, -6).

A)
B)
C)
D)

Question 57

Write the equation in the slope-intercept form.

A)
B)
C)
D)

Question 58

Find the slope of the line passing through the points (4.8, -2.6)and (-0.1, 3.9).

Question 59

Find the slope of the line passing through the points (-10, 0)and (0, -4).

A)
B)
C)
D)

Question 60

The homecoming committee is blowing up balloons for the big dance on Saturday. Thirty balloons
Have already been inflated, and now the next shift comes in and is able to blow up 60 balloons per
Hour. Assuming they continue at this rate, write a linear equation that describes the total number of
Balloons blown up in terms of hours and use the equation to find out how many hours it will take
Them to reach their goal of having 270 balloons.

A)
B)
C)
D)

Question 61

State whether or not the relation is a function.
{(7, 4), (8, 4), (9, 4), (10, 4)}

A)Not a function
B)Function

Question 62

Graph the linear function.

A)
B)
C)
D)

Question 63

State whether or not the relation is a function. Assume that x represents the first coordinate.

A)Function
B)Not a function

Question 64

Find the domain and range of the function.

A)
B)
C)
D)

Question 65

The percentage of an adult population that smokes can be modeled by the function P(x)whose graph
Is shown below. The input x is years after 1955. Estimate the change in the percentage of smokers from
1975 to 1985.

A)-10%
B)5%
C)10%
D)-5%

Question 66

Find the domain and range of the function.

A)
B)
C)
D)

Question 67

State whether or not the relation is a function.
{(2, 9), (2, 10), (2, 11), (2, 12)}

Question 68

Find the domain and range of the function.

A)
B)
C)
D)

Question 69

State whether or not the relation is a function. Assume that x represents the first coordinate.

A)Not a function
B)Function

Question 70

A waitress made $6.53 per hour plus $75 in tips on a Friday evening shift. The amount of money
She makes for the night is given by the function P(t )= 6.53t + 75, where t is the number of hours
She worked. How much would a waitress make for a 12-hour shift if the pay is the same?

A)$153.36
B)$821.64
C)$978.36
D)$906.53

Question 71

Graph the linear function.

A)
B)
C)
D)

Question 72

The percentage of an adult population that smokes can be modeled by the function P(x)whose graph
Is shown below. The input x is years after 1955. In what year did the percentage of smokers drop below
20%?

A)2015
B)1995
C)1985
D)2005

Question 73

Graph the linear function.

A)
B)
C)
D)

Question 74

A soccer team won two times as many games as their rival plus three more games. Write the
Number of games the team won as a function of the games their rival won.

A)W(r)=2r + 3
B)W(r)= 2(r + 3)
C)W(r)= 3(r + 2)
D)W(r)= 3r + 2

Question 75

Evaluate the function

A)10
B)8
C)7
D)9

Question 76

Evaluate the function

Question 77

State whether or not the relation is a function.
{(-1, 7), (0, 8), (1, 9), (2, 10)}

A)Not a function
B)Function

Question 78

Write in function notation. How can you tell that this equation actually defines a
function?

Question 79

Graph the linear function

Question 80

The percentage of an adult population that smokes can be modeled by the function P(x)whose graph
Is shown below. The input x is years after 1955. Estimate the percentage of adults that smoked in 1955.

A)15%
B)30%
C)40%
D)45%