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Ch 5 Review

Total questions: 68

Worksheet time: 3hrs 43mins

Name
Class
Date
1.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
2.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
3.
What is the solution to this system?
a)
(-2, -2)
b)
(2, -2)
c)
(-2,2)
d)
(2, 2)
4.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
5.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
6.

Which system of equations is represented by the graph shown?

a)

y=-x-1 and y=x+3

b)

y=3x and y=x

c)

y=x-3 and y=x+1

d)

y=x+1 and y=-x-3

7.
What is the definition of one solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
8.

Solve the following system using any method.

y = 2/3x - 2

y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

9.

Solve the following system using any method.

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

10.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
11.
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 
a)
y = 6.80 + .65x
y=7.30+.90x
b)
x + y = 6.80
x + y = 7.30
c)
y = 6.80+.90x
y = 7.30 + .65x
d)
y + .90x = 6.80
y + .65x = 7.30
12.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 
a)
y = 9.65 + x
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
13.
The solution of a system of linear equations is...
a)
the y-intercept (b)
b)
the intersection of the two equations on a graph
c)
the second equations' answers
d)
the slope (m)
14.
Which of the following are ways to solve systems of equations? 
a)
Graphing
b)
Substitution
c)
Elimination
d)
All of the above
15.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
(0, -1.5)
16.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)
Infinitely Many Solutions
17.
a)

Yes

b)

No

18.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
19.

When both lines in a system are identical, the system has __________________.

a)

infinite solutions

b)

one solution

c)

no solution

d)

parallel solutions

20.

If a system of linear equations has one solution, what does this mean about its slopes and y - intercept?

a)

Equal Slopes and Equal y-interceps

b)

Equal Slopes but Not Equal y-intercepts

c)

Not Equal Slopes and Either Equal or Not Equal y-intercepts

d)

None of the above

21.
Which two lines show a system with one solution of (0,1)?
a)
Purple and Green
b)
Green and Red
c)
Purple and Blue
d)
Red and Blue
22.
If a system of equations has infinitely many solutions, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
same lines
23.
Which two lines show a system with no solution?
a)
Purple and Green
b)
Green and Red
c)
Purple and Blue
d)
Red and Blue
24.
If a system of equations has no solution, what do you know about the slopes and y-intercepts of the two equations?
a)
They have different slopes and different y-intercepts.
b)
They have the same slopes and different y-intercepts.
c)
They have the same slopes and the same y-intercepts.
d)
They have different slopes and the same y-intercepts.
25.

At the zoo I saw 11 animals. Some of the animals were pigs and others were chicken. There were 28 legs. Write a system of linear equations to represent this situation. How many chickens and pigs were there?

a)

6 chickens and 5 pigs

b)

7 chickens and 4 pigs

c)

8 chickens and 3 pigs

d)

9 pigs and 2 chickens

26.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
27.

From the equation: y = -2x+6 what is the y-intercept of the line?

a)

y

b)

6

c)

x

d)

-2

28.

From the equation: y = -2x +6 what is the slope of the line?

a)

y

b)

6

c)

x

d)

-2

29.

What is the y-intercept?

a)

(5, 0)

b)

(-5, 0)

c)

(0, 5)

d)

(0, -5)

30.

Which graph represents the equation y=4x−1y=4x-1  

a)

b)

c)

d)

31.

Which graph matches the system?
y = −12x − 2y\ =\ -\frac{1}{2}x\ -\ 2

y = −32x + 2y\ =\ -\frac{3}{2}x\ +\ 2  

a)

b)

c)

d)

32.

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?

a)

x + y = 6

14.80x + 17y = 91

b)

x + y = 91

14.80x + 17y = 6

c)

x + y = 6

14.80y + 17x = 91

d)

x + y = 91

14.80x+ 17y = 6

33.
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Which equations could be used to determine the cost of the coffee? 
a)
10c + 5d = 14.25
5c + 10d = 16.50
b)
10c + 5d = 16.50
5c + 10d = 14.25
c)
c + d = 10
5c + 10d = 16.50
d)
c + d = 5
5c + 10d = 16.50
34.

Gracie sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. She sold 21 tickets total. How many of each type of ticket did Gracie sell?

a)

10 adults, 11 children

b)

12 adults, 9 children

c)

11 adults, 10 children

d)

9 adults, 12 children

35.
What does the x represent in this situation?
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25
a)
price of a saxophone
b)
rental fee
c)
total cost
d)
number of months
36.

Two students are reading a book. Keith reads 6 pages a day. Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages.


Which two equations below form a system of equations to represent the situation, using d for days and p for pages.

a)

p = d + 6

b)

p = 6d

c)

p = d + 5 + 15

d)

p = 5d + 15

37.
A system of linear equations is... 
a)
Math Magic
b)
One Equation
c)
Always more than 2 equations
d)
A set of 2 or more equations
38.
Which of the following shows the solution to the system?
 y= -1/4x + 4
y = 2x + 2
a)
A
b)
B
c)
C
d)
D
39.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

40.

Solve the system of equations

a)

Infinite solutions

b)

(2, -2)

c)

(1, 0)

d)

(3, -4)

41.

Homer sells tickets for admission to the school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

a)

a + c = 21

6a + 4c = 104

b)

a + c = 104

6a + 4c = 21

c)

a + c = 21

6c + 4a = 104

d)

a + c = 104

6c + 4a = 21

42.

Enterprise charges to rent compact cars for a fixed amount per day plus a fixed amount for each mile driven. Batman rented a car for 6 days, drove it 550 miles and spent $337. Superman rented the same car for 3 days, drove for 350 miles and spent $185. Set up the system. Let "d" represent the fixed charge per day and "m" represent the cost per mile.

a)

6d + 550m = 337

3d + 350m = 185

b)

6d + 550m = 185

3d + 350m = 337

c)

6m + 550d = 337

3m + 350d = 185

d)

6m + 550d = 185

3m + 350d = 337

43.
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
a)
x + y = 33
y = 2x - 3
b)
x + y = 33
x = 2y - 3
c)
x + y = 33
x = 3 - 2y
d)
x + y = 3
x = 33 - 2y
44.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4x + 6y = 3

13.5x - 13y = 6

b)

x + y = 4

x - y = 6

c)

4x + 6y = 13

3x + 7y = 13.5

d)

4x - 6y = 13

3x - 7y = 13.5

45.

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

a)

t + n = 54

t = 3n + 8

b)

t + n = 54

n = 3t + 8

c)

t + n = 54

t = 3n - 8

d)

t + n = 8

t = 3n + 54

46.

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?

a)

x + y = 1430

20x + 50y = 49

b)

x + y = 49

10x + 5y = 1430

c)

x + y = 49

20x + 50y = 1430

d)

x + y = 49

x + y = 1430

47.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3H + 2D = 315

2H + 4D = 450

b)

3H + 2D = 450

2H + 4D = 315

c)

2H + 4D = 315

3H + 2D = 450

d)

3H + 2D = 315

2H + 2D = 135

48.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

1.5N+0.5S=78.5

N+S=87

b)

1.5N+0.5S=78.5

1.5N+0.5S=87

c)

N+S=78.5

1.5N+0.5S=87

d)

N+S=78.5

N+S=87

49.
Solve for y:
5x + y = -10
a)
y = 5x + 10
b)
y = -5x - 10
c)
y = 2
d)
y = -5
50.
Solve for y:
2x + 2y = 6
a)
y = - x + 3
b)
y = x + 3
c)
y = 2x +6
d)
y = - 2x + 6
51.
Solve for y: 
4x + 3y = 9
a)
y = -3/4x + 3
b)
y = -4x + 9
c)
y = -4/3x + 3
d)
3y = -4x + 9
52.

Solve the following system using any method.

y = 2x + 1

y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

53.

What variable do you eliminate?


4x + 8y = 20

−4x + 2y = −30

a)

X because they have opposite signs

b)

Y because they have opposite signs

54.

What variable do you eliminate, and what do you multiply the equation(s) by?

5x + y = 9

10x − 7y = −18

a)

You eliminate x, and multiply the top equation by 11

b)

You eliminate y, and multiply the top equation by 7

55.
Solve the system given:
3x - y = 7
2x + y = 3
a)
(-1,2)
b)
(5,4)
c)
(4,5)
d)
(2,-1)
56.
Solve using elimination. 
 −4x − 4y = 0
4x + 4y = 0 
a)
(−6, −4) 
b)
Infinite number of solutions  
c)
(−6, 10) 
d)
(6, 4) 
57.
Solve using elimination.
-4x - 6y = 6
4x + 6y = -4
a)
no solution
b)
(2,0)
c)
(-4,0)
d)
(0,0)
58.

Approximately how many turkeys are eaten by Americans each Thanksgiving?

a)

25 million

b)

110 million

c)

8 milliion

d)

45 million

59.

Where was Thanksgiving first celebrated?

a)

Ridgewood, baby!

b)

Plymouth

c)

Philadelphia

d)

Boston

60.

What year did the First Thanksgiving take place?

a)

1881

b)

1621

c)

1776

d)

1585

61.

According to a recent poll, what is the most popular Thanksgiving side dish amongst New Yorkers?

a)

stuffing

b)

mashed potatoes

c)

corn

d)

mac and cheese

62.

How many pounds does the average Thanksgiving turkey weigh?

a)

15 pounds

b)

20 pounds

c)

25 pounds

d)

10 pounds

63.

True or False: Thanksgiving always occurs on the last Thursday of November.

a)

True

b)

False

64.

What would Thanksgiving be without dessert? Can you correctly guess which pie is the most popular pie at Thanksgiving dinners across the United States?

a)

pumpkin pie

b)

apple pie

c)

sweet potato pie

d)

pecan pie

65.

The average amount of calories an adult should consume each day is about 2,000 calories. Can you guess how many calories an average adult consumes on Thanksgiving?

a)

2,000

b)

10,000

c)

6,500

d)

4,500

66.

How many pumpkin pies get eaten on Thanksgiving across the United States?

a)

5,000

b)

20,000

c)

1 million

d)

50 million

67.

How much did the heaviest turkey weigh?

a)

25 pounds

b)

100 pounds

c)

55 pounds

d)

86 pounds

68.

How much was the most expensive Thanksgiving dinner?

a)

$181,000

b)

$2,000

c)

$500

d)

$10,000

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