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WorksheetsUnits 1-2 Practice
Total questions: 212
Worksheet time: 11hrs 36mins
Rachel states that -5.5 is an integer because it is negative.
Is she correct?
Why or why not?
Yes, because all negatives are integers.
Yes, because all integers have decimals.
No, because integers do not have decimals.
No, because integers cannot be negative.
3 is what type of number? (Check all classifications that apply)
rational
whole
integer
irrational
25 results in what type of number? (Check all classifications that apply)
rational
whole
integer
irrational
−4936 results in what type of number? (Check all classifications that apply)
rational
whole
integer
irrational
3π−4 results in what type of number? (Check all classifications that apply)
rational
whole
integer
irrational
6π6π results in what type of number? (Check all classifications that apply)
rational
whole
integer
irrational
0.7 is what type of number? (Check all classifications that apply)
rational
whole
integer
irrational
231 is equivalent to
2.3
2.3
2.27
2.311
x²+4x-8
x³-7x²+3
x²-8x+10
(x³-2x²+3)+(2x³+3x²-1)
(x³-6x²+3)+(3x³+4x-1)
(3x²-3x+2)-(x²-2x+1)
(2x³+6x²+4x-2)-(x³+4x²-x)
(6n2 - 7n4+8) + (6 + 8n + 4n4)
(x+10)(x-10)
(x +2)(x + 3)
Classify by number of terms:
5x2 – 6x + 3
Monomial
Binomial
Trinomial
Classify by number of terms:
3x3 – 6x
Monomial
Binomial
Trinomial
What is the CONSTANT of this polynomial?
2x3 - 8x2 + 3x - 7
2
-8
3
-7
3x3 – 6x
x² − 4
u3 + 3u2 - 4u + 2
√6 ⋅√6
Simplify the radical...
√20a²b⁴
2ab²√5
4ab²√5
5ab²√2
2a²b²√5
Six more than some number equals 52
x + 6 = 52
6 + 52 = x
6x = 52
6x + 52 =
The difference of 2 and r equals -3.
2−r = -3
r÷2 = -3
r−2 = -3
2r = -3
14 subtracted from the quantity 6 times k
14 decreased by a number
x - 5 = 12 into words?
The plane containing the x-axis and the y-axis is the...
grid system
coordinate system
ordered pair
coordinate plane
The first number in an ordered pair is...
the larger number.
the origin.
the x-coordinate.
the y-coordinate.
The point where the two axes intersect in known as...
the center.
the relation.
the intersection.
the origin.
What is the domain of this graph?
D = { 2,3,-5,-3,-3,-5}
D = {-5, -3, 2 }
D = {-5, -3, 3}
D = {-5, -3}
What is the range of this graph?
R = { 2,3,-5,-3,-3,-5}
R = {-5, -3, 2 }
R = {-5, -3, 3}
R = {-5, -3}
The left grouping in a mapping is the...
domain.
range.
y-axis.
relation.
The right grouping in a mapping is the...
domain.
range.
x-axis.
coordinate system.
As the amount of rain decreases, so the does the water level of the river. What is the independent variable?
the amount of rain
the river.
the water level.
decreasing rain.
The relation that is represented by the equation y = 20 - 2x has the domain
{3 , 4, 5, 6}. Which of the following sets is the range of the relation?
{3, 4, 5, 6}
{8, 10, 12, 14}
{12, 13, 14, 15}
{14, 16, 18, 20}
X values may also be considered: (select all that apply)
Input
Output
Domain
Range
f(x)
Y values may also be considered: (select all that apply)
Input
Output
Domain
Range
f(x)
Information that can be represented by a set of ordered pairs.
Function
Ordered Pair
Mapping
Relation
A relation in which each input is paired with exactly one output
Function
Ordered Pair
Mapping
Relation
Describe the transformation.
up 3
down 3
left 3
right 3
What is a test that is used to check if the graph is function or not?
Multiple Choice
Vertical Line Test
Horizontal Line Test
None of the above
Is this graph a function or not a function?
Function
Non Function
Is this graph a function or not a function?
Function
Non Function
yes
no
.
Is this graph a function or not a function?
Function
Non Function
Is this set of ordered pairs a function or not a function?
Non Function
Function
.
Is this graph a function or not a function?
Non Function
Function
Is this set of ordered pairs a function or not a function?
{(9,2) (-3,2) (9,0) (2,2) (1,2)}
Function
Non-Function
Is this set of ordered pairs a function or not a function?
{(2,3) (1,3) (4,3) (7,3) (0,3)}
Function
Non Function
Is the relation a function? Why.
Yes, because the x-value 11 has two y-values pair with it.
Yes, because each x-value has only one y-value paired with it.
No, because the x-value 11 has two y-values paired with it.
No, because each x-value has only one y-value paired with it.
Given y= 2x2 + 5x - 17, find the range if the domain is -1
-20
-24
Given that y = x+3
Find the value of y when x = - 2
-1
1
5
-5
Given y = -x2+3x, find the output if the input is 5.
40
-10
If y =-2x2+ 1, find the range if the domain is 3.
19
37
-17
-11
y = 5 - 6x
Find y when x = -5
-25
6
4
35
Fill in the table.
A= (a)
Fill in the table.
B= (a)
Fill in the table.
C= (a)
Fill in the table.
D= (a)
What is the slope?
Write your answer as an integer.
m= (a)
What is the y=intercept?
b= (a)
Which is the graph of the function y=−4x+3 ?
Blue
Red
Purple
Green
y=x-6
What is the missing number?
12
10
14
13
Which equation matches the table?
y = x + 5
y = 5x
y = x - 5
x = y - 5
Which table of values can be defined by y=2x+1?
A
B
C
D
What is 'b' in this linear equation? y= 5x - 6
6
5
y
-6
What is the slope of the graph?
-2
2
1/2
-1/2
The starting point in a situation is represented by the _______________
slope
y-intercept
m
x value
If m=3 and b=6, what is the correct slope intercept equation?
y=3-6
y=3x-6
y=3x+6
y=6x+3
How would you write the equation with a slope of -3 and a y-intercept of 1
y= -3x + 1
y= -x - 3
y= -3x - 1
y= x + 3
How would you write the equation with a slope of 4/5 and a y-intercept of -1
y= -x + 4/5
y= x + 4/5
y= 4/5x - 1
y= 2/5x + 4/5
This line has a __________ slope.
Negative
Positive
Undefined
No Slope
What is the equation by looking at this graph?
y= x + 3
y= -x + 2
y= 2x + 2
y= x + 2
What is given when your graph is horizontal?
y
x
What is given when you have a vertical line on your graph?
x
y
What direction is the line if the slope is positive?
descending
ascending
whats the slope of the function y=2/3x+6
2/3
3/2
6
-4
(-1,-9) and (5, -6)
(-4, 3) and (-4, -7)
(8,5) and (-9, 5)
What kind of slope does the line have?
Positive
Negative
0
Undefined
Determine the slope and y-intercept. y=23x+3
slope: 5
y-intercept: 3/2
slope: 3/2
y-intercept: 3
slope: 4
y-intercept: 3/2
slope: 1/5
y-intercept: 5
2nd
what is the slope of the following 12x - 6y = 30
2
-2
12
-12
what is the slope of y = 4 - 6x
4
6
-6
-4
what is the slope intercept form for the equation -2x + 8y = 2
y = -2x + 8
y = 1/4x + 1/4
y = -1/4x - 1/4x
y = 2/8x + 4
what is the first step to solve for slope intercept form on
-x + 4y = 11
subtract 11 from both sides
add x to both sides
subtract x from both sides
put in th y=
which of the following is the best first step to solve for y = mx +b? equation is -2x - 4y = -12
add 4y to both sides
subtract 2x from both sides
add 2x to both sides
divide by -4
y=-3x+1
y=3x+1
y=1/3x+1
y=-1/3x-1
y=-4x-12
y=4x+12
y=-4x+12
y=-4x+3
y=-5x+5
y=-x+5
y=x+1
y=-x+1
y=1/2x+5
y=-1/2x+5
y=-1/2x-5
y=1/2x-5
The equation is now solved for y.
y = 1/2x - 5
Which is the graph of this equation?
Identify the form of the following linear equation:
y = 3x - 2
Standard Form
Slope - Intercept Form
Neither
Identify the form of the following linear equation:
5x + 3y = 15
Standard Form
Slope - Intercept Form
Neither
Identify the form of the following linear equation:
x = 4y - 8
Standard Form
Slope - Intercept Form
Neither
5x - 4y = -20
y = 2x + 1
y = 4x - 1
Solve this system of equations by graphing.
y = 1/2x + 2
y = -3x + 9
(2, 3)
(-2, -3)
(3, 2)
(-3, 2)
y = 3x - 8
y = 4 - x
3x + 2y = 16
7x + y = 19
y = 2/3x - 2
y = -x + 3
Solve:
x = -3y - 17
2x + 3y = -7
(1, -20)
(10, 0)
(-5, -2)
(10 , -9)
3x + 2y = 8
-x + y = -11
(-5,6)
(6,-11)
(-6,-5)
(6,-5)
What is the solution to the system of equations?
y = 3x - 8
y = 4 - x
(3,1)
(1,3)
(3,-1)
(3,-1)
Solve the system of equations.
y = -5x
x + 3y = 28
(-6, 30)
(-2, 10)
(-2, 39)
No solution
Infinite solutions
Solve:
y = 8x+1
y = 6x+3
(1, 9)
(4, 14)
(0, 1)
(1, 4)
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?
y = 6.80 + .65x
y = 7.30 + .90x
x + y = 6.80
x + y = 7.30
y = 6.80 + .90x
y = 7.30 + .65x
y + .90x = 6.80
y + .65x = 7.30
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?
y = 9.65 + x
y = 8.40 + x
y = 9.65x + 43
y = 8.40x + 58
y = 9.65x
y = 8.40x
y = 9.65x - 43
y = 8.40x - 58
y = -6x + 5
-2x + y = 5
(-3, -6)
(0, 3)
(0, 5)
(-3, 5)
-2x + 6y = 16
-4x - 3y = 2
4x + 8y = 20
-4x + 2y = -30
−8x − 10y = 20
−8x − 6y = −4
9x-4y=7
x-4y=-17
4x + 6y = -4
5x + y = 9
10x − 7y = −18
−4x + 9y = 9
x − 3y = −6
Solve the following system by using elimination:
-3x - 6y = 24
4x + 4y = 4
(-10, -9)
(10, 9)
(10, -9)
Solve the following system by using elimination:
3x + 3y = 0
7x + 5y = -16
(8, 4)
(-8, 8)
(-8, -8)
Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0
(−6, −4)
Infinite number of solutions
No Solution
(6, 4)
(0,0)
Solve by elimination.
6x - y = 2
-3x - 6y = 12
(2,0)
no solution
(0,-2)
infinite solutions
What is the solution to this system of equations?
4x + y = 6
x - 2y = 6
(2,-2)
(1,2)
( 1/2 , 4 )
(-2,2)
(2, 4)
