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Worksheets2nd Nine Weeks Exam - CC
Total questions: 160
Worksheet time: 6hrs 4mins
y=4x+5
y=−32x+1
y=−x−3
y=65x
y=−x
Graph
y=2x+6
Graph
y=−21x−2
y=3x+3
Graphing
y=4x−5
What is the equation of a line when m = -3 and b = 5?
y = -3x + 5
y = -3x - 5
y = 5x + 3
y = -5x - 3
What is the equation of a line when m = -7 and b = -8?
y = -7x + 8
y = -7x - 8
y = 7x - 8
y = 7x + 8
What is the equation of a line when m = -7 and b = -8?
y = -7x + 8
y = -7x - 8
y = 7x - 8
y = 7x + 8
The y-intercept is (a) and the slope is (b)
43
34
−43
−34
Given: y=−31x+5 , the slope is (a) and the y-intercept is (b)
−31
31
13
−13
Given: y=53x , the slope is (a) and the y-intercept is (b)
53
35
−53
−35
Given: y=4 , the slope is (a) and the y-intercept is (b)
0
4
41
14
−4
−1
1
Is this expression in Standard Form?
7x2+3x+5
Yes
No
Rewrite in Standard Form:
24 + x3 + x
Rewrite in Standard Form:
15x4 + x3 + x5 + 4
Rewrite in Standard Form:
12 - 3x3 - 10x - x2
Rewrite in Standard Form:
25 - 8x3 + 10x4 - x2 + 7x
Rewrite in Standard Form:
12x - 5x3 - 1 - 2x2
Rewrite in Standard Form:
11x5 - 10x - 2x2 + 8x3
3x3 – 6x
Classify by degree and number of terms:
12
Constant Monomial
Linear Binomial
Constant Binomial
Linear Monomial
Classify the polynomial by degree and number of terms:
3x2 – 8x + 1
Cubic Trinomial
Cubic Binomial
Quadratic Trinomial
Quadratic Binomial
Classify the polynomial based on degree and number of terms: 3x+5x4 - 8
Quadratic trinomial
5th degree binomial
Linear Trinomial
4th degree trinomial
Classify the polynomial based on degree and number of terms: 5x3+6x2+7x - 6
Cubic polynomial
4th degree trinomial
4th degree binomial
Cubic trinomial
Classify the name and degree of the polynomial:
x3y2 + 5x4 -2x4y3
5th degree trinomial
4th degree polynomial
7th degree trinomial
6th degree trinomial
3x3 – 6x
6w2 - 9w3
Put in Standard Form.
12 - 3x3 - 10x - x2
- 3x3 - x2 - 10x + 12
3x3 - x2 + 10x + 12
12 - 3x3 - 10x - x2
It is in Standard Form.
12 - 10x - x2 - 3x3
What do you call a polynomial with a degree of 2? (pg. 3)
Quadratic
Constant
Cubic
Quartic
What do you call a polynomial with a degree of 3? (pg. 3)
Quadratic
Constant
Cubic
Quartic
State the degree (highest exponent) of the polynomial: (Pg. 1)
f(x) = 19x2 + 24 + 2x4
1
2
3
4
State the leading coefficient of the polynomial: (pg. 1)
(Write in standard form first)
f(x) = 9x4 - 4x - 6 + 2x3 + 6 x5 + 3x2
9
-4
6
3
Which one of these polynomials is in standard form? (pgs. 1 and 2)
x4 + 25x2 - 10x3
x4 - 10x3 + 25x2
- 10x3 + 25x2 + x4
25x2 + x4 - 10x3
The number before a variable is the _____. (pg. 1)
term
constant
coefficient
variable
A letter in a term is called a _____. (pg. 1)
variable
coefficient
constant
term
A number without a variable is called a _____. (pg. 1)
coefficient
constant
variable
term
In the following expression, how many terms are there? (pgs. 3 and 4)
5x³ - 7x + 11
1
2
3
4
In the following expression, the number -7 is an example of a ____________? (pg. 1)
5x³ - 7x + 11
term
constant
coefficient
variable
In the following expression, which numbers are coefficients? (pg. 1)
18x⁷ + 4x³ - 11x² + 9
18, 4, -11, 9
18, 4, -11
7, 3, 2
18, 4, 11,
How many terms are in the following expression? (Pgs 3 and 4)
2x³ - 7 + 11x⁸ - 4x⁵
1
2
3
4
Classify the polynomial by degree (first name) and number of terms (last name). Pgs. 3 and 4
3x2−7
Linear Binomial
Quadratic Binomial
Cubic Binomial
Quartic Binomial
Classify the polynomial by degree (first name) and number of terms (last name). (pgs. 3 and 4)
Remember to combine like terms first!
9x3−2x+5+7x
Linear Polynomial
Cubic Polynomial
Cubic Trinomial
Linear Trinomial
Choose the expression that is NOT a polynomial. (pg. 2)
x2−5x4−7
−8−2x3+5x
9x5+x4−6x2
x3
A polynomial that has two terms is classified as a ________. (pg. 3)
monomial
binomial
trinomial
polynomial
A polynomial that has more than three terms is classified as a ________. (pg. 3)
monomial
binomial
trinomial
polynomial
Choose the expression that is NOT a polynomial. (pg. 2)
−11x+x32−2x3
−8−2x3+5x
9x5+x4−6x2
x3
Describe the types of Polynomials for each polynomial
(6x + 9)
binomials
x2+5x−2
trinomials
2x
monomials
4x2 +6x4−3x+5−2x7
polynomial
x³-7x²+3
monomial
binomial
trinomial
polynomial
5x²-3x+6
2
-3
5
6
(3 - 2x + 2x2) + (4x - 5 + 3x2)
7x - 7x + 5x2
5x2 + 2x - 2
5x2
5x2 + 6x + 8
x2 + 5x + 6
x2 + x + 6
x2 + 5x + 5
x2 + 6x + 6
2x ( -2x -3)
-4x - 3
x2 - 3
-4x2 - 6x
-4x - 6
What is the constant of this polynomial?
2x3 - 8x2 + 3x - 7
2
-8
3
-7
How many terms does the polynomial have?
2ab2−4c+6d3−12ef + 101
Rewrite 2x2+9−5x3+3x4−8x in standard form.
+3x4
−5x3
+2x2
−8x
9
What is the lead coefficient of the polynomial?
−4a3+19a4−a+12a6+103
In the example
5v3−7 the constant is:
(a)
How many terms are in the polynomial
3x2+4x−8
(a)
According to exponent rules, when we multiply terms with the same base we _______ the exponents.
Multiply
Add
Divide
Subtract
Combine Like Terms
TRUE or FALSE
These are LIKE TERMs.
3x and 3x2
True
False
Put the terms in Standard Order. (List the exponents from highest to lowest.)
x8
7x5
8x4
12x2
x
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?
What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?
y = -3x - 23
y = -3x -13
y = -3x - 11
y = -3x+13
What is y intercept of the equation y - 3 = 4(x - 0)
4
-3
3
-4
m = 1/3 through (4, 4)
(4, -7); m = -1/4
m = 5/4 through (-4, -3)
m = 5 through (-1, -3)
y = -2 I x - 3 I + 3
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3
y + 1 = -3(x - 2)
y + 1 = -3(x + 2)
y - 1 = 3(x - 1)
y + 2 = -3(x + 1)
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
y + 7 = -1/4(x - 4)
y - 4 = -1/4(x + 7)
y + 7 = 4(x - 4)
y - 7 = -1/4(x - 4)
m=6
(2, 7)
y - 7 = 2( x - 6)
y - 7 = 6( x - 2)
y - 7 = 6( x + 2)
y - 7 = 3( x - 6)
m=4
(2, 2)
y- 2 = 4( x - 2)
y- 4=4(x - 2)
y- 2= 2( x - 2)
y + 2 = 4(x + 2)
m= 3
(1, 7)
y - 7 = 3( x - 1)
y - 1 = 3( x - 7)
y - 3 = 3( x - 1)
y - 1 = 7( x - 3)
The line with the equation
y+1=−3(x−5) ,
contains the point
(5,−1)
(−5,1)
(5,1)
(1,5)
Graph the line: y+1=−31(x−2)
Convert to slope-intercept form.
y - 3 = -2(x + 4)
y = 2x - 5
y = -2x - 11
y = -2x - 5
y = -2x + 1
Write an equation of the line going through the point (-4, 1) with a slope of 1/3.
y−1=31(x+4)
y+4=31(x−1)
y−4=31(x+1)
y+1=31(x−4)
Name the point given in this line: y+1=−45(x−3)
(a)
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
y - 3 = 1(x - 2)
y + 3 = 1(x + 2)
y -3 = -1(x + 2)
y + 3 = -1(x - 2)
y=2|x-3|+1
y= -4|x+2|+5
What is the equation of this graph?
y=2|x-3|+1
y=2|x-1|+3
y=-2|x+1|+3
y=-2|x-1|+3
(3, -3)
(-2, 3)
(3, 3)
(-1, 4)
Match the solution to the system of equations.
(-2, -1)
(2, -1)
(1, 4)
(-4, -1)
4x+9y=28
-4x-y=-28
-9x-4y=-20
5x+4y=4
7x+y=-9
-3x-y=5
4x + 8y = 20
−4x + 2y = −30
7x+y=-9
-3x-y=5
-9x-4y=-20
5x+4y=4
4x+9y=28
-4x-y=-28
2x - 3y = -6
-2x - 2y = 26
x + 9y = 8
-6x - 9y = -3
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3
y + 1 = -3(x - 2)
y + 1 = -3(x + 2)
y - 1 = 3(x - 1)
y + 2 = -3(x + 1)
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
y + 7 = -1/4(x - 4)
y - 4 = -1/4(x + 7)
y + 7 = 4(x - 4)
y - 7 = -1/4(x - 4)
m=6
(2, 7)
y - 7 = 2( x - 6)
y - 7 = 6( x - 2)
y - 7 = 6( x + 2)
y - 7 = 3( x - 6)
m= 5
(2, 4)
y - 2= 5(x - 4)
y - 4= 5(x - 2)
y- 5 = 4(x - 2)
y - 2 = 4(x - 5)
The line with the equation
y+1=−3(x−5) ,
contains the point
(5,−1)
(−5,1)
(5,1)
(1,5)
The line with the equation
y−2=4(x+8) ,
contains the point
(−8,2)
(8,2)
(8,−2)
(−2,8)
The line with the equation
y−2=4(x+8) ,
has a slope of :
8
4
-2
Graph the line that goes through the point (-2,-4)
and has a slope of 43 .
Graph the line: y+1=−31(x−2)
What is the point slope form equation of the graph given(use blue point in equation)
y + 2 = 23 (x + 2)
y - 2 = 23 (x - 2)
y + 2 = - 23 (x + 2)
y - 2= - 23 (x - 2)
Graph the line: y+1=−31(x−2)
Convert to slope-intercept form.
y - 3 = -2(x + 4)
y = 2x - 5
y = -2x - 11
y = -2x - 5
y = -2x + 1
Name the point given in this line: y+1=−45(x−3)
(a)
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
y - 3 = 1(x - 2)
y + 3 = 1(x + 2)
y -3 = -1(x + 2)
y + 3 = -1(x - 2)
Graph the equation slope = 3 and point of (1,5)
Graph the intercepts using the equation 2x+5y=-10
Graph the equation using the x and y intercept of -7x+7y=14
The line with the equation
y+1=−3(x−5) ,
and has a slope of (a)
−3
3
1
−5
What is the point slope form equation for the given line?(Use blue point for formula)
y + 3 = 3 (x + 4)
y + 4 = -3 (x + 3)
y - 4 = 3 (x - 3)
y + 4 = 3 (x + 3)
Graph the line y - 2 = 3 (x + 5)
Graph the line
Graph the line
Graph the line:
Graph the line
Graph the line:
Graph the line: y + 5 = -4 (x - 8)
Match the following forms of linear equations with their names.
y - y1 = m(x-x1)
Point-slope form
Ax + By = C
Standard form
y = mx + b
Slope-intercept form
y=kx
Direct variation form
The graph of the equation y+11=−2(x−2) has a slope of −2 and contains which of the following points?
(−11,2)
(2,11)
(2,−11)
(11,−2)
What is a linear equation?
an equation that contains only 1 variable
an equation that can be graphed as a straight line
an equation that has a variable being raised to the 3rd power
an equation that has no slope
Solve for x and y using substitution
y = 2x + 1
y = 4x - 1
(1,3)
(-1,-3)
(-1,3)
(3,1)
Solve by substitution:
y = 3x + 14
y = -4x
Type your answer as (x, y)
(a)
Reorder the following steps for solving systems of linear equations by substitution
Locate the isolated variable (nickname)
Plug the solution into the original equation (nickname)
Use the "nickname" in the other equation
Plug the answer into the either equation to solve for the other variable
y = 7x + 9
2y + 2x = -18
x = -3y - 17
2x + 3y = -7
