Font size
S
M
L
XL
WorksheetsAlg2 midterm
Total questions: 217
Worksheet time: 16hrs 19mins
Name
Class
Date
1.
Find the solution.
a)
(2.5, 1)
b)
(1, 2.5)
c)
(-2.5, -1)
d)
(-1, -2.5)
2.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
3.
In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?
a)
10 horses, 18 chickens
b)
16 horses, 12 chickens
c)
12 horses, 16 chickens
d)
18 horses, 10 chickens
4.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
5.
7x+4y =12
x + 2y = -4
x + 2y = -4
a)
(-4,4)
b)
(4,4)
c)
(4,-4)
d)
(-4,-4)
6.
7x - 2y = 6
x - 2y = -6
x - 2y = -6
a)
(2,4)
b)
(3,-2)
c)
(1,2)
d)
(-2,-4)
7.
x-4y = 16
5x + 4y = 8
5x + 4y = 8
a)
(4,-3)
b)
(-3,4)
c)
(4,3)
d)
(3,-4)
8.
5x - 2y = 6
x - 2y = -2
x - 2y = -2
a)
(2,2)
b)
(2,1)
c)
(1,2)
d)
(-2,-2)
9.
x - 2y = 4
2x -y = -1
2x -y = -1
a)
(-2,-3)
b)
(-3,-2)
c)
(2,3)
d)
(3,2)
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.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
(0, -1.5)
12.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
13.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
14.
A ________________ is a set of two or more equations that have the same variables.
a)
solution of a system
b)
elimination method
c)
system of equations
d)
table
15.
The ordered pair that satisfies all equations in the system.
a)
system of equations
b)
function
c)
graph
d)
solution of a system
16.
What kind of lines have no solution to a system of equations
a)
Parallell Lines
b)
Overlapping lines
c)
Intersecting Lines
d)
Skew Lines
17.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
18.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
19.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
20.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
21.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
22.
Select the ordered pair which is a solution of the following system of equations:
5x + 7 = 4y
2x - 1 = y + 1
5x + 7 = 4y
2x - 1 = y + 1
a)
(5,8)
b)
(0,0)
c)
(-1,-5)
d)
(11,40)
23.
Is (2,3) a solution for this system of equations?
y=3x
y=7x-8
y=3x
y=7x-8
a)
Yes
b)
No
c)
Maybe
d)
Idk
24.
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)
3x + 2y = 315
2x + 4y = 450
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
3x + 4y = 450
25.
If a system of linear equations has one solution, what does this mean about the two lines?
a)
Parallel lines
b)
the same line
c)
Intersecting lines
26.
Parallel Lines never intersect because...
a)
they have the same slopes.
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts.
27.
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)
1.5x+0.5y=78.5
x+y=87
x+y=87
b)
1.5x+0.5y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
c)
x+y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
d)
x+y=78.5
x+y=87
x+y=87
28.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
29.
If a system of linear equations has one solution, what does this mean about the two lines?
a)
Parallel lines
b)
the same line
c)
Intersecting lines
30.
If a system of linear equations has infinitely many solutions, what does this mean about the two lines?
a)
Intersecting lines
b)
Same line
c)
Parallel lines
31.
Solve the following system by graphing. What is the solution?
a)
Infinite number of solutions
b)
(3, 3)
c)
(3, -3)
d)
(-3, 3)
32.
Solve the following system by graphing. What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
33.
Solve the system of equations.
a)
(10, 3)
b)
(6, 3)
c)
(15, 3)
d)
No solution
e)
Infinite Solution
34.
Solve the system of equations.
a)
(11, 21)
b)
(3, 11)
c)
(11, -67)
d)
No solution
e)
Infinite solutions
35.
Solve the system of equations.
a)
(-23, 4)
b)
(-4, -3)
c)
(-2, -4)
d)
No solution
e)
Infinite solutions
36.
Solve the system of equations.
a)
(-7, 8)
b)
(-7, -6)
c)
(8, -7)
d)
No solution
e)
Infinite solutions
37.
Solve the system of equations.
a)
(-6, 1)
b)
(0, 0)
c)
(1, -6)
d)
No solution
e)
Infinite solutions
38.
Solve the system of equations.
a)
(3, 33)
b)
(7, 77)
c)
(2, 22)
d)
No solution
e)
Infinite solutions
39.
Which graph represents a system of equations with infinite solutions?
a)
b)
c)
d)
None of the above
40.
Which graph represents a system of equations with no solution?
a)
b)
c)
d)
None of the above
41.
When solving a system of equations algebraically, which statement results in infinite solutions?
a)
4 = 7
b)
2 = 2
c)
-3 = 3
d)
all of the above
42.
When solving a system of equations algebraically, which statement results in no solution?
a)
4 = 7
b)
-2 = 2
c)
-3 = 3
d)
all of the above
43.
There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?
a)
d + c = 174
4d + 2c = 50
4d + 2c = 50
b)
d + c = 50
4d + 2c = 174
4d + 2c = 174
c)
d + c = 50
2d + 4c = 174
2d + 4c = 174
d)
d + c = 174
2d + 4c = 50
2d + 4c = 50
44.
Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.
a)
c + s = 6
14c + 17s = 99
14c + 17s = 99
b)
c + s = 99
14c + 17s = 6
14c + 17s = 6
c)
c + s = 6
17c + 14s = 99
17c + 14s = 99
d)
c + s = 99
17c + 14s = 6
17c + 14s = 6
45.
Are the points on the boundary line part of the solution set or not?
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
46.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
47.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
48.
You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your math tutoring job pays $7.50 per hour and your job as a pet sitter pays $6 per hour. You can work at most 7 hours tutoring. Write a system of linear inequalities to model the situation.
a)
s + t < 20
6s + 7.50t ≥ 92
t >7
6s + 7.50t ≥ 92
t >7
b)
s + t ≤ 20
6s + 7.50t ≥ 92
t ≤ 7
6s + 7.50t ≥ 92
t ≤ 7
49.
what is the first step in the substitution method?
a)
Step 2
b)
isolate one of the variables in one of the equations
c)
substitute in the value of the isolated variable into the other equation
50.
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?
a)
x+y=134
x+y=120
x+y=120
b)
3x+3y=134
4x+3y=120
4x+3y=120
c)
4x+3y=134
3x+3y=120
3x+3y=120
d)
7xy=134
6xy=120
6xy=120
51.
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)
1.5x+0.5y=78.5
x+y=87
x+y=87
b)
1.5x+0.5y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
c)
x+y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
d)
x+y=78.5
x+y=87
x+y=87
52.
1. The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.
a)
5q + 2z = 1.32
1z = 0.75
1z = 0.75
b)
5q + 2z = 1.32
3q + 1z = 0.75
3q + 1z = 0.75
c)
q + z = 1.32
q + z = 0.75
q + z = 0.75
d)
5q + 2z = 0.75
3q + 1z = 1.32
3q + 1z = 1.32
53.
HOW is a coordinate pair ordered?
a)
(big number, small number)
b)
(small number, big number)
c)
(y, x)
d)
(x, y)
54.
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
y=7.30+.90x
b)
x + y = 6.80
x + y = 7.30
x + y = 7.30
c)
y = 6.80+.90x
y = 7.30 + .65x
y = 7.30 + .65x
d)
y + .90x = 6.80
y + .65x = 7.30
y + .65x = 7.30
55.
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
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
y = 8.40x - 58
56.
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
y = 2x - 3
b)
x + y = 33
x = 2y - 3
x = 2y - 3
c)
x + y = 33
x = 3 - 2y
x = 3 - 2y
d)
x + y = 3
x = 33 - 2y
x = 33 - 2y
57.
Solve:
y = -1x - 5
4x - 8y = 4
y = -1x - 5
4x - 8y = 4
a)
(-3, -2)
b)
(5, -7)
c)
(3, 9)
d)
(-5, 4)
58.
Solve:
y = 7x + 9
2y + 2x = -18
y = 7x + 9
2y + 2x = -18
a)
(5, 0)
b)
(9, 18)
c)
(-2, -5)
d)
(1, 16)
59.
What is the solution to this system?
x= 7 - 2y
2x + y = 5
x= 7 - 2y
2x + y = 5
a)
(-1,4)
b)
(4,-1)
c)
(1,3)
d)
(3,1)
60.
Solve:
y=8x+1
y=6x+3
y=8x+1
y=6x+3
a)
(1, 9)
b)
(4, 14)
c)
(0, 1)
d)
(2, 4)
61.
The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve:
x + y = 55
x - y = 3
Solve:
x + y = 55
x - y = 3
a)
(26, 23)
b)
(26, 29)
c)
(29, 26)
d)
(29, 32)
62.
A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?
a)
20 Multiple Choice
b)
10 Multiple Choice
c)
15 Multiple Choice
d)
5 multiple choice
63.
Sally and John are siblings. John is one less than 3 times Sally's age. The sum of their ages is 23. How old is John, How old is Sally?
a)
15,8
b)
20,3
c)
17,6
d)
18,5
64.
Daniel and Aliyah are siblings. Daniel is one more than 3 times Aliyah's age. The difference of of their ages is 25. How old is Daniel? How old is Aliyah?
a)
37,12
b)
35,10
c)
42,17
d)
68,43
65.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?
a)
1s + 3c = 38
2s + 3c = 52
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
3s + 2c = 52
c)
s + c = 38
s + c = 52
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
1s + 2c = 52
66.
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
a)
x + y = 1550
y = 4x
y = 4x
b)
x + y = 1550
y = x + 4
y = x + 4
c)
y - x = 1550
y = 4x
y = 4x
d)
y = 1550 + x
y = x + 4
y = x + 4
67.
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?
a)
d + n = 6.60
.10d + .05n = 80
.10d + .05n = 80
b)
d + n = 80
d + n = 6.60
d + n = 6.60
c)
d + n = 80
.10d + .05n = 6.60
.10d + .05n = 6.60
d)
d + n = 80
.05d + .10n = 6.60
.05d + .10n = 6.60
68.
At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?
a)
t: # of tacos
m: # of glasses of milk
m: # of glasses of milk
b)
t: Cost of each taco
m: Cost of each glass of milk
m: Cost of each glass of milk
c)
t: total cost
m: # of food items
m: # of food items
d)
t: Cost of each glass of milk
m: Cost of each taco
m: Cost of each taco
69.
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
t = 3n + 8
b)
t + n = 54
n = 3t + 8
n = 3t + 8
c)
t + n = 54
t = 3n - 8
t = 3n - 8
d)
t + n = 8
t = 3n + 54
t = 3n + 54
70.
Solve using substitution.
x + 2y = -3
x - y = -12
What is the sum of x and y?
x + 2y = -3
x - y = -12
What is the sum of x and y?
a)
-6
b)
-2
c)
18
d)
15
71.
Solve using substitution.
2x - 2y = 2
y = -5x + 14
What is the sum of x and y?
2x - 2y = 2
y = -5x + 14
What is the sum of x and y?
a)
9
b)
4
c)
6.5
d)
3.25
72.
CHALLENGE: Three equations.
x + y + z = 4
x = -2y
z = -3y
Solve the system of equations using substitution.
x + y + z = 4
x = -2y
z = -3y
Solve the system of equations using substitution.
a)
x = 2
y = -1
z = 3
y = -1
z = 3
b)
x= -5
y = 3
z = 1
y = 3
z = 1
c)
x = 10
y = -2
z = 0
y = -2
z = 0
d)
x= 4
y = 1
z = -1
y = 1
z = -1
73.
Solve by elimination
-2x + 6y = 16
-4x - 3y = 2
-2x + 6y = 16
-4x - 3y = 2
a)
(2,2)
b)
(-2, -2)
c)
(-2,2)
d)
(2,1)
74.
Solve using elimination.
4x + 8y = 20
-4x + 2y = -30
4x + 8y = 20
-4x + 2y = -30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
75.
Solve the system by elimination.
−8x − 10y = 20
−8x − 6y = −4
−8x − 10y = 20
−8x − 6y = −4
a)
Infinite number of solutions
b)
(6, 5)
c)
(−6, −5)
d)
(5, −6)
76.
Jon has a total of 25 quarters and dimes. The amount of money he has is $5.65. Which system models this scenario?
a)
Q + D = 25
.25Q + .10D = 5.65
.25Q + .10D = 5.65
b)
Q + D = 5.65
.25Q + .10D = 25
.25Q + .10D = 25
c)
.25Q + .10D = 25
Q + D = 5.65
Q + D = 5.65
77.
Ben ordered 20 total items consisting of pizza and sodas. A pizza is $10, a soda is $2, and he spent a total of $72. Which system models this scenario?
a)
10P + 2S = 20
P + S = 72
P + S = 72
b)
P + S = 20
2P + 10S = 72
2P + 10S = 72
c)
P + S = 20
10P + 2S = 72
10P + 2S = 72
78.
Solve the system of equations by graphing.
y = -4x + 5
y = 3x - 16
y = -4x + 5
y = 3x - 16
a)
(-3, -25)
b)
(3,-7)
c)
(11, 17)
d)
(21, 47)
79.
What is the equation for the axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
80.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
81.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
82.
Find the y-intercept of f(x) = 2x2 - 2x + 1
a)
2
b)
-2
c)
1
d)
-1
83.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
84.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
85.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
none of these
86.
What is the formula to find the vertex of a parabola?
a)
x = -b/2
b)
x = -b
c)
x = -b / (2a)
d)
x = -b / 2
87.
Identify the vertex and whether the graph opens up or down.
a)
(-1, 4); opens up
b)
(-1, 4); opens down
c)
(1, 4); opens up
d)
(1, 4); opens down
88.
What is another name for the x-intercepts of a quadratic?
a)
y-intercepts
b)
zeros
c)
x-axis
d)
none of these
89.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
90.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
91.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
92.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
93.
Does this parabola have a minimum or maximum and what is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
94.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
95.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Basketball
c)
Maximum Value
d)
A parabola
96.
A parabola is upside-down when a is:
a)
negative
b)
positive
c)
0
d)
infinite
97.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
98.
Which point is an example of a y-intercept?
a)
(3,4)
b)
(-2,8)
c)
(0,4)
d)
(5,0)
99.
True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
100.
Factor: x2+16x+64
WHAT TWO NUMBERS MULTIPLY TO 64
AND ADD UP TO 16?
WHAT TWO NUMBERS MULTIPLY TO 64
AND ADD UP TO 16?
a)
(x+8)(x+8)
b)
(x+2)(x+32)
101.
Factor x2 + 12x + 20
WHAT TWO NUMBERS MULTIPLY TO 20
AND ADD UP TO 12?
WHAT TWO NUMBERS MULTIPLY TO 20
AND ADD UP TO 12?
a)
(x + 2)(x + 10)
b)
(x + 7)(x + 5)
c)
(x + 6)(x + 6)
102.
Factor x2 + 7x + 12
What two numbers ADD UP TO 7
and MULTIPLY to 12.
What two numbers ADD UP TO 7
and MULTIPLY to 12.
a)
(x + 2)(x + 5)
b)
(x + 3)(x + 4)
c)
(x + 1)(x + 6)
103.
Does this parabola have a maximum or minimum?
REMEMBER MAXIMUM IS THE HIGHEST AND MINIMUM IS THE LOWEST.
REMEMBER MAXIMUM IS THE HIGHEST AND MINIMUM IS THE LOWEST.
a)
Maximum
b)
Minimum
104.
Does this parabola have a minimum or maximum and what is its value?
REMEMBER MAXIMUM IS THE HIGHEST AND MINIMUM IS THE LOWEST.
REMEMBER MAXIMUM IS THE HIGHEST AND MINIMUM IS THE LOWEST.
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
105.
What are the x- intercepts?
These are also known as the roots, zeroes and solutions!!
These are the points where the parabola goes through the X - AXIS
These are also known as the roots, zeroes and solutions!!
These are the points where the parabola goes through the X - AXIS
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
106.
Which of the following equations matches standard form of a quadratic?
a)
y = mx + b
b)
y = ax2 + bx + c
107.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
108.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing
The solution, root, x-intercept, and zero of a problem are all the same thing
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
109.
Which answer choice describes y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum
110.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3
y=x²+2x-3
a)
Minimum value, because the a value is positive
b)
Maximum value, because the b value is positive
c)
Maximum value, because the a value is positive
d)
Minimum value, because the c value is negative
111.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
112.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
113.
What is the equation for this parabola in factored form?
a)
y=(x+2)(x-1)
b)
y=(x-2)(x+1)
c)
y=(x-2)(x-1)
d)
y=(x+2)(x+1)
114.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
When did the ball hit the ground?
h = -16t2 + 64t + 960.
When did the ball hit the ground?
a)
10 seconds
b)
2 seconds
c)
5 seconds
d)
7 seconds
115.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
What is the maximum height?
h = -16t2 + 64t + 960.
What is the maximum height?
a)
960 feet
b)
1008 feet
c)
1024 feet
d)
1152 feet
116.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
a)
10 seconds
b)
64 seconds
c)
960 seconds
d)
2 seconds
117.
y=2x2-6x+1 is in what form?
a)
Vertex Form
b)
Factored form
c)
Standard Form
d)
Cannot be determined
118.
.How many zeros does this parabola have?
a)
3
b)
2
c)
0
d)
1
119.
What is the arrow pointing at? How can you use this value?
a)
The arrow is pointing at the y-intercept. The x-value is the axis of symmetry and the y-value of this point is equivalent to the maximum/minimum
b)
The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum and the y-value is the axis of symmetry
c)
The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum
d)
The arrow is pointing at the vertex. The x-value is the axis of symmetry and the y-value is equivalent to the minimum/maximum
120.
Factor completely
k2 -2k - 24
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
121.
Factor completely
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
122.
Factor completely
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
123.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
124.
Factor: x2 – 5x – 24
a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
125.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
126.
Factor
n2-13n+40
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
127.
What is the y-intercept of: y=7x2+2x -1
a)
(0, 1)
b)
(0, -1)
c)
(1, 0)
d)
(-1, 0)
128.
What is the axis of symmetry of:y=2x2-4x+9
a)
x = 1
b)
x = -1
c)
x = -2
d)
x = 4
129.
Solve 2(x-1)2 = 32
a)
x= -3, 5
b)
x= -4, 4
c)
x= 3, 5
d)
x= 2, 6
130.
Solve x2 = -16
a)
x = -4, 4
b)
x = -4,0, 4
c)
x = -4i, 4i
131.
Solve
x2 - 10 = 26
x2 - 10 = 26
a)
x = -6, 6
b)
x = -4, 4
c)
x = 4, 6
d)
No solution
132.
Solve.
4m2 - 100 = 0
4m2 - 100 = 0
a)
m = 25, -25
b)
m = 96
c)
m = 5, -5
d)
m = -96
133.
Solve.
(x-2)2 = 100
(x-2)2 = 100
a)
m = -8, 12
b)
m = 8, 12
c)
m = ±10
d)
No real solution
134.
Solve.
n2 - 5 = -4
n2 - 5 = -4
a)
n = ±√9
b)
n = ±3
c)
n = ±1
d)
No real solution
135.
Does this parabola have a minimum or maximum and what is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
136.
Solve using square roots.
5b2 - 4 = 41
5b2 - 4 = 41
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no solution
137.
What is another name for the x-intercepts of a quadratic?
a)
y-intercept
b)
Zeros
c)
x-axis
d)
They don't have another name
138.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
139.
Simplify
2i - 7i + 10
2i - 7i + 10
a)
-5i+10
b)
5i
c)
9i+10
d)
5i+10
140.
Simplify:
(7 + 2i)(9 - 6i)
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i - 12i2
c)
51 - 24i
d)
58 + 60i
141.
Simplify
3i - (4 + 7i)
3i - (4 + 7i)
a)
-4 + 10i
b)
21 - 12i
c)
4 - 10i
d)
-4 - 4i
142.
Multiply
(2i)(3i)
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
143.
Find question #1 in the room and choose the correction answer below
a)
A
b)
B
c)
C
d)
D
144.
Find the zeros of this quadratic.
a)
b=4/5, b=3
b)
b=4, b=-3
c)
b=1/5, b=3
d)
b=4/5, b=-3
145.
a)
-2, 4
b)
-8
c)
±8
d)
No real solution
146.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
147.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
148.
What are the x-intercept/s of the function?
a)
{x|x = 3}
b)
{x|x =-3,3}
c)
(3, 0)
d)
(-3, 0)&(3, 0)
149.
In the equation
y = x2 +5x +7, match each leading coefficient with its correct letter
y = x2 +5x +7, match each leading coefficient with its correct letter
a)
a=0, b=5, c=7
b)
a=1, b=5, c=7
c)
a=7, b=5, c=1
150.
Solve by factoring:3x2 + 5x + 2 = 0
a)
x = -2/3 and x = -1
b)
x = -3/2 and x = -1
c)
x = 2/3 and x = 1
d)
x = 2/3 and x = -1
151.
Solve by factoring: 4x2 + 11x - 3 = 0
a)
x = -3/4 and x = -1
b)
x = 4 and x = 3
c)
x = 1/4 and x = -3
d)
x = -1/4 and x = 3
152.
Solve by completing the square. Round if needed.
x2 -4x -5= 0
x2 -4x -5= 0
a)
11 and -7
b)
1 and 3
c)
1.73 and -1.73
d)
5 and -1
153.
What is the factored form of x2+16x+15
a)
(x+1)(x+15)
b)
(x+3)(x+5)
c)
(x-3)(x-5)
d)
(x-1)(x+15)
154.
What is the factored form of x2-10x+24
a)
(x-4)(x-6)
b)
(x-12)(x+2)
c)
(x-8)(x-3)
d)
(x+24)(x-1)
155.
What is the factored form of 25x2-9
a)
(5x+3)(5x-3)
b)
(x+5)(x-3)
c)
(x-3)(x+5)
d)
(5x+3)(3x+5)
156.
Find the factors of 4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
157.
What are the factors of 3x2-17x+10
a)
(x-5)(3x-2)
b)
(x+5)(3x+2)
c)
(3x-5)(x-2)
d)
(x+5)(3x-2)
158.
Find the factors of 100x2-64
a)
(10x-8)(10x+8)
b)
(x-10)(x+8)
c)
(10x+8)(10x+8)
d)
(10x-8)(10x-8)
159.
Find the factors of 100x2-64
a)
(10x-8)(10x+8)
b)
(x-10)(x+8)
c)
(10x+8)(10x+8)
d)
(10x-8)(10x-8)
160.
Find the factors of x2-81
a)
(x-9)(x+9)
b)
(x+9)(x+9)
c)
(x-9)(x-9)
d)
Can't be factored
161.
What are the factors of x2-8x-48
a)
(x-12)(x+4)
b)
(x+12)(x-4)
c)
(x+12)(x+4)
d)
(x-12)(x-4)
162.
Find GCF of 22x3+11x2
a)
11x
b)
11x2
c)
22x
d)
22x2
163.
FACTOR
7w3-14w
7w3-14w
a)
7w(w2-2)
b)
7w(w2-2w)
c)
7w(w-2)
d)
7w(w+2)
164.
Factor:
18b2-9b3
18b2-9b3
a)
9b2(18-9b)
b)
9b2(2-b)
c)
9b2(18-9b2)
d)
b2(2-b2)
165.
Find the factors of 5x2+20x+20
a)
5(x+2)(x+2)
b)
5(x-2)(x-2)
c)
5(x+2)(x-2)
d)
(5x+2)(x+2)
166.
The U-Shaped curve of a quadratic equations is called a ______
a)
parabola
b)
maximum
c)
minimum
d)
bolapara
167.
A positive parabola opens ___
a)
up
b)
down
c)
sideways
d)
seriously?
168.
A negative parabola opens ____
a)
down
b)
up
c)
you have a 50/50 shot
d)
don't mess it up
169.
What is the vertical line that divides the parabola into two equal parts?
a)
parabola
b)
vertex
c)
axis of symmetry
d)
unicorns
170.
The axis of symmetry passes through which coordinate?
a)
y coordinate
b)
x coordinate
c)
always goes through the origin
d)
always goes through the x-intecept
171.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
172.
Which of the following describes the graph of f(x)= x2 - 2x -15.
a)
The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)
b)
The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)
c)
The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)
d)
The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)
173.
Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?
a)
f(x)= -(x-4)2+7
b)
f(x)= (x+4)2+7
c)
f(x)= -(x+4)2+7
d)
f(x)= (x-4)2+7
174.
A quadratic function has zeros -7 and 9.
What are the linear factors of the function?
a)
(x+7) (x-9)
b)
(x-7) (x+9)
c)
(x+7)(x+9)
d)
(x-7)(x-9)
175.
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
a)
(3,8)
b)
(-3,-8)
c)
(-3,8)
d)
(3,-8)
176.
Use the graph to determine the solutions of the equation
0 = x2 - 5x + 1
a)
0 and 5
b)
0.5 and 4.5
c)
0.2 and 4.8
d)
1 and 7
177.
Simplify the following radical: √275
a)
5√5
b)
5√11
c)
11√5
d)
5√55
178.
What is the maximum value of the function shown?
a)
4
b)
3
c)
1
d)
-3
179.
Solve by factoring.
x2 + 15x + 44 = 0
a)
{-8, 2}
b)
{-7, 5}
c)
{-11, -4}
d)
{-11}
180.
Solve by factoring. (what do they have in common)
n² - 2n = 0
a)
n = 2 and 0
b)
n = -2 and 0
c)
n = 2
d)
n = 0
181.
Solve: b² = -35 + 12b RE-ARRANGE AND FACTOR
a)
b = 5 and 7
b)
b = -5 and -7
c)
b = -5 and 7
d)
b = 5 and -7
182.
What do the "Zeros" represent on a quadratic equation graph?
a)
x-intercepts
b)
y-intercepts
c)
vertex
d)
focus
183.
Does the quadratic have a maximum or minimum vertex, and does the parabola open up or down?
a)
max/ opens down
b)
min/ opens up
c)
max/ opens up
d)
min/ opens down
184.
What is the maximum/minimum of a parabola called?
a)
vertex
b)
point
c)
top
d)
bottom
185.
y = -(x+9)2-6
What is the h value?
What is the h value?
a)
9
b)
-9
c)
6
d)
-6
186.
y = (x+3)2-4
What is the k value?
What is the k value?
a)
3
b)
-3
c)
4
d)
-4
187.
y = (x-9)2+5
What is the vertex?
What is the vertex?
a)
(-9,5)
b)
(9,5)
c)
(5,-9)
d)
(-5,9)
188.
y = (x+1)2-5
What is the axis of symmetry?
What is the axis of symmetry?
a)
1
b)
x = -1
c)
x = 1
d)
x = 5
189.
What is the standard form for
y = (x + 3)2 - 25?
a)
y = x2 + 6x - 16
b)
y = x2 - 6x + 16
c)
y = x2 + 9x - 16
d)
y = x2 + 3x - 25
190.
What are the x-intercepts for
y = (x + 1)(x - 5)?
a)
(1,0) and (-5,0)
b)
(5,0) and (-4,0)
c)
(0,-5)
d)
(-1,0) and (5,0)
191.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
line of dashes
192.
Simplify:
a)
√4√12
b)
4√12
c)
4√3
d)
2√3
193.
Simplify:
a)
5x√2
b)
100x√2
c)
10x√2
d)
10√2x
194.
Simplify:
√100
√100
a)
1
b)
10
c)
102
d)
Already simplified
195.
Simplify:
√45
√45
a)
9√5
b)
3√5
c)
5√9
d)
3√15
196.
Factor:
x2 - 25
x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
197.
Solve by taking square roots:
5b2 - 4 = 41
5b2 - 4 = 41
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no solution
198.
Mult (2x + 3)(3x + 4)
a)
6x2 + 17x + 7
b)
6x2 + 17x + 12
c)
6x2 + 8x + 12
d)
6x2 + 9x + 12
199.
Mult (4x + 3)(x + 2)
a)
x2 + 11x + 6
b)
4x2 + 8x + 6
c)
4x2 + 3x + 6
d)
4x2 + 11x + 6
200.
Solve by taking square roots:
3 + 9r2 = 12
3 + 9r2 = 12
a)
r = 0
b)
no solution
c)
r = 3, r = -3
d)
r = 1, r = -1
201.
3x2 - 75
a)
3( x + 5 ) ( x - 5 )
b)
Prime
c)
( x + 5 ) ( x - 5 )
d)
3( x - 5 ) ( x - 5 )
202.
Complete the Square
x2 + 6x = 5
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
203.
Solve the equation (x + 3)2 = 49.
a)
x = -7, 7
b)
x = 4, -10
c)
x = -4 +- √7
d)
x = 10, -4
204.
Use the Zero Product Property to solve the equation (7x+2)(5x-4)=0
a)
2,-4
b)
2/7 , 4/5
c)
-2/7 , 4/5
d)
-2, 4
205.
Convert x2-9x+20=0 to factored form and solve.
a)
(x-10)(x+2); x=-2, 10
b)
(x+4)(x+5); x=-5, -4
c)
(x-4)(x-5); x=4, 5
d)
Not factorable
206.
How can you tell the direction of the opening of the graph of a parabola by looking at the equation?
a)
The vertex tells you the direction of the opening
b)
The value of "a" tells you the direction of the opening.
c)
All parabolas open upward
d)
All parabolas open downward
207.
If the graph of a quadratic does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
208.
Solve by completing the square.
x2 +12x = 5
x2 +12x = 5
a)
X = 6 + √41 or 6 − √41
b)
X= 35 or 47
c)
X = −6 + √41 or −6 − √41
d)
X = √35 or √47
209.
Factor:
4n2-17n-15
4n2-17n-15
a)
(n-10)(6n+1)
b)
(4n-5)(n-3)
c)
(n-5)(4n-3)
d)
(n-5)(4n+3)
210.
What is the greatest number of solutions that a Quadratic Equation can have?
a)
0
b)
1
c)
2
d)
3
211.
Solve the equation using square roots.
x2 = 121
x2 = 121
a)
60.5
b)
± 11
c)
± 12
d)
11
212.
Solve the equation using the zero product property.
(x- 9)(x + 3) = 0
(x- 9)(x + 3) = 0
a)
x = 3 or x = 9
b)
x = 3 or x = -9
c)
x + -3 or x = 9
d)
x = -3 or x = -9
213.
Solve the equation using the zero product property.
3x ( 2x - 4) = 0
3x ( 2x - 4) = 0
a)
x = -1/3 or x = -2
b)
x = 0 or x = 2
c)
x = 0 or x = -2
d)
x = -1/3 or x = 2
214.
Simplify √-64
a)
8
b)
-8
c)
4
d)
8i
215.
Simplify √50
a)
5√10
b)
10√5
c)
5√5
d)
5√2
216.
.How many zeros does this parabola have?
a)
3
b)
2
c)
0
d)
1
217.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
Reset
