WorksheetsCPM CCA Final Assessment
Total questions: 156
Worksheet time: 3hrs 39mins
Simplify:
x51
x10
−x10
x41
Simplify:
1
0
−x3
x31
Simplify:
6m11
6m5
2m11
2m5
Simplify:
x9y6
x6y5
xy11
x27y8
Simplify:
3a4
81a4
12a4
81a
What is the equation of the line (in y=mx+b form) that has a slope of 2 and crosses through the point (3, 2)?
y=2x−4
y=2x−1
y=3x+5
y=2x+8
What is the equation of the line that passes through the points (3, 5) and (0, 4)?
y=31x+4
y=72x+4
y=41x+3
y=189x+77
What is the equation of the line that passes through the points (4, 3) and (1, 9)?
y=2x−8
y=−2x−5
y=−2x+11
y=−3x+11
Solve the equation for y:
y=−21x−5
y=−2x−1
y=−21x+6
y=−21x+1
Solve the equation below for y:
y=3x−7
y=3x+7
y=−3x−7
y=−3x+7
Solve for x :
x=4
no solution
x=−4 and x=314
x=4 and x=−314
Solve for x:
x=−5 and x=−9
No solution
x=5 and x=9
x=5
Multiply the following:
30x2+77xy+49y2
30x2+49y2
30x+77xy+49y
What is the domain of this graph?
−1<x<1
−2<x<2
−∞≤x≤∞
−1≤x≤2
What is the domain of this function?
−∞≤x<2
−∞≤x≤∞
−2<x≤∞
−4≤x≤2
What is the range of this function?
∞≤y≤∞
−4≤y<2
−∞≤y≤2
2<y≤−∞
What is the range of this function?
−2≤y≤3
−2<y≤3
−5≤y≤4
−5<y≤4
What is the range of this relation?
[1,4]
{1,2,3,4}
{A,B,D}
[A,D]
8
-24
24
-22
27
21
24
72
24
-6
32
36
Evaluate f(2).
f(2) = 5
f(2) = 12
f(2) = 10
f(2) = 0.5
Evaluate f(6).
f(6) = 18
f(6) = 12
f(6) = 10
f(6) = 1
f(x) = -2?
Find the value of f(x), given x = -1
0
1
2
-1
The largest value in the RANGE of a function or in a data set.
maximum
minimum
input value
output value
The set of all y-values included in a function or relation.
domain
range
x-y table
y-intercept
A parabola is the graph of a ______________ function.
linear
exponential
quadratic
cubic
The point(s) where a graph crosses the horizontal axis.
x-intercept
y-intercept
input value
absolute value
A relationship where each input value has one consistent and predictable output value.
Rate of Change
Function
Polynomial
Coefficient
Used to represent an unknown or changing value.
slope
Δx/Δy
variable
piece-wise
Which term correctly refers to the graph shown?
piecewise graph
situation
linear graph
exponential growth
An expression that is the sum or difference of two or more terms.
product
generic rectangle
distributive property
polynomial
The set of numbers { . . . −3, −2, −1, 0, 1, 2, 3, . . . } is known as
integers
expressions
variables
math
A mathematical sentence stating that the two expressions are equivalent.
equation
evaluate
standard form
product
Number(s) that make the mathematical equation true when substituted for the variable.
solution
base
binomial
integer
If the directions say to "evaluate", that is the same as saying
substitute and simplify
solve
find the unit rate
distributive property
48, 24, 12, 6, 3, ...
f(x) = x2 - 3x - 4
y = 2x + 3
How many tiles does figure 0 have?
For the function (0,1), (1,-3), (2,-4), (-4,1)
state the domain
state the range
D: {1, -3, -4,}
R: {0, 1, 2, -4}
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
simplify so there are no negative or zero exponents.
s11u2
s28t-1u2
s3u2
s11t2u
Evaluate for f(-5)
1
-9
5
15
Write an equation from the table.
y = -5/3 x + 3
y = 3x -5
y= -5x +3
y = -3/5 x -5
rewrite the product as a sum
4x4 -7x2 -44
2x2 - 44
3x2 -7
2x4 - 3x2 -44
Simplify 7x(4x + 3y -2)
28x + 21xy -14x
28x2 + 21xy -14x
11x + 10xy -2
28x + 21y -2x
The coefficient in this monomial is: -6y2
6
-6
2
y
y2
The base in this monomial is: 4y5
4y
4
y
5
y5
Write the area as a product.
2x2 - 15
(2x +5)(x-3)
(x+5)(2x-3)
2x(x+5)
Write the area as a sum.
2x2-15
3x + 2
2x2 + 7x - 15
2x2 + 10x - 15
Which graph does this line belong to? y = -1/2 x + 1
Simplify: (4x2y5z-3)0
4x2y5z3
4x2y5 / z3
1
0
How many coefficients does this expression have?
15x + 4 -9y + 38 + 2z
1
2
3
4
5
Solve for x:
-14
14
-11
10
What is the equation of this line?
2x + 1
y= 2x + 1
y = 1/2 x + 1
1/2x + 1
2a2b6
1/2a2b6
b6/2a2
2b6/a2
(x-4)3 = ?
x-12
x-1
1/x-1
1/x12
Simplify
16x-6y14
16x0y9
8y14 / x6
16y14 / x6
What is the vertex of the quadratic function
y=−x2−20x+50 ?
( -10, 150 )
( 10, -150 )
( 150, -10 )
( -150, -10 )
A graph of a quadratic function is shown on the grid.
Which coordinate best represents the vertex of the graph?
( -4.5, 0 )
( -3, -2 )
( -1.5, 0 )
( 0, 5 )
The graph of g(x)=x2 was transformed to create the graph of h(x)=−(3x)2 . Which of these describes the transformation from the graph of g to the graph of h?
A reflection over the y-axis and a horizontal stretch
A reflection over the x-axis and a vertical stretch
A reflection over the x-axis and a horizontal stretch
A reflection over the y-axis and a vertical stretch
Quadratic function f can be used to model the height in feet of a rocket from the ground t seconds after it was launched.
What is the maximum value of the graph of the function?
(a)
The graph of f(x)=x2 was translated 6.5 units to the left to create the graph of g. Which function represents the graph of g?
g(x)=(x−6.5)2
g(x)=(x+6.5)2
g(x)=x2−6.5
g(x)=x2+6.5
The graph of a quadratic function p is shown on the grid.
If k(x)=x2 and p(x)=k(x)+n , what is the value of n?
(a)
The graph of function k is shown on the grid.
Which statements are best supported by the graph of k?
I. The x-intercept is located at ( -2, 0 )
II. The coordinates of the y-intercept are ( 0, 4 )
III. The axis of symmetry is x= -2
I and II only
I and III only
II and III only
I, II, and III
The graph of a quadratic function f is shown on the grid.
What is the y-intercept of the graph of f ?
(a)
The graph of f(x)=x2 is reflected over the x-axis and is stretched vertically to create the graph of function g. Which graph could represent g?
Two characteristics of quadratic function p are given.
*The axis of symmetry of the graph is at x= -1.
*Function p has exactly one zero.
Based on this information, which graph could represent p?
The graph of the quadratic parent function f was transformed to create the graph of f(x)=(x−6)2+3 . Which graph best represents g?
Which quadratic function in vertex form can be represented by the graph that has a vertex at ( -4, -5 ) and passes through ( 2, -23 )?
y=21(x+4)2−5
y=−21(x−4)2−5
y=21(x−4)2+5
y=−21(x+4)2−5
The expression (5−4x)2 is equivalent to:
−16x2−40x+25
−16x2+25
16x2−40x+25
16x2+25
The graph of a quadratic function is shown on the grid. Which function is best represented by this graph?
f(x)=−x2+4
f(x)=−21x2+4
f(x)=−x2+2
f(x)=−21x2+2
A quadratic function is graphed on the grid. Which answer choice best represents the domain and range of the function?
Domain: x≥−3
Range: y≥−2
Domain: All real numbers
Range: y≥−2
Domain: x≥−3
Range: All real numbers
Domain: y≥−2
Range: x≥−3
What are the domain and range of f(x)=−32(x−23)2+76 ?
Domain: All real numbers Range: f(x)≤76
Domain: x≤23 Range: y≤76
Domain: All real numbers Range: x≤76
Domain: f(x)≥76 Range: x≤23
Find the quotient of 4x−1220x2−32x−84 ?
5x+7
5x+9
5x+7−4x−12157
5x+3+4x−127
Sarah is riding her bike from her home to the recreation center. She lives 9 miles from the recreation center. The graph shows her remaining distance as a linear function of x, the time travelled in minutes. Which answer choice best describes the domain and range for the function for this situation?
Domain: all real numbers greater than or equal to 0 and less than or equal to 9.
Range: All real numbers greater than or equal to 0 and less than or equal to 28.
Domain: all real numbers less than or equal to 9.
Range: All real numbers less than or equal to 28.
Domain: all real numbers greater than or equal to 0 and less than or equal to 28.
Range: All real numbers greater than or equal to 0 and less than or equal to 9.
Domain: all real numbers less than or equal to 28.
Range: All real numbers less than or equal to 9.
Given h(x)=41(11−x)2 , what is the value of h(19) ?
(a)
Carlos purchased a total of 11 sodas and nachos. Each soda costs $1.25 and each nachos costs $4.75. If Carlos spent a total of$38.25, how many sodas did he buy?
(a)
Which expression is a factored form of
6x2−17x+12 ?
(3x+3)(2x+4)
(3x-3)(2x-4)
(2x-3)(3x-4)
(2x+3)(3x+4)
What is the solution set for 5x2+12=−23x ?
{-6, -5}
{-4, -0.6}
{3, 2.5}
{4, -3}
Which expression is equivalent to
49x2+56x+16 ?
(7x+4)2
(7x−4)2
(14x+4)2
(14x−4)2
What are the solutions to
(x+6)2=49 ?
-43 and -55
43 and 55
1 and -13
-1 and 13
Which expression is a factor of
3x2−2x+5 ?
3x+1
x+5
3x+5
There are no real factors.
What are the solutions to
2(x−6)2=50 ?
x=6±50
±106
x=31 and x=19
x=11 and x=1
Which value of x is a solution to this equation?
5x2−44x−60=0
x= -10
x= -1.2
x= -5
x= -6.5
Given g(x)=x2−5x−14 , which statement is true?
The zeros are -7 and 2 because the factors are (x - 7)(x - 2).
The zeros are -7 and -2 because the factors are (x + 7)(x + 2).
The zeros are -2 and 7 because the factors are (x + 2)(x - 7).
The zeros are 2 and 7 because the factors are (x - 2)(x - 7).
What is a positive solution to this equation? Record your answer on the grid.
4x2+15x=54
(a)
Which statement about
k(x)=−x2−6x+16 is true?
The zeros are -8 and 2, because k(x)= -(x+8)(x-2)
The zeros are -8 and -2, because k(x)= -(x+8)(x+2)
The zeros are 8 and 2, because k(x)= -(x-8)(x-2)
The zeros are 8 and -2, because k(x)= -(x-8)(x+2)
Which statement is equivalent to
16x2−24x+9 ?
(16x−3)(x−3)
(4x+3)2
(16x+3)(x+3)
(4x−3)2
Which function is equivalent to
q(x)=25x2−30x+9 ?
q(x)=(25x−3)2
q(x)=(5x+3)2
q(x)=(5x−3)2
q(x)=(25x+3)2
Which expression is a factor of
27x2+6x−8 ?
3x-2
9x+2
3x+4
9x-4
Which value of x is a solution to this equation?
2x2−20x+50=0
x=10
x=5
x= -5
x= -10
The area of a rectangular classroom is 273 ft2 . The length of the classroom is 8 ft more than the width of the classroom. This situation can be represented by the equation x2−13x−168=0 .
What is the width of the classroom in feet?
7 ft
15 ft
21 ft
18 ft
What value of n makes the equation true?
−6(0.5x−2)=x−0.25(x+24)
-6.5
2.5
-5.4
4.8
What is the vertex of the quadratic function
y=−x2−20x+50 ?
( -10, 150 )
( 10, -150 )
( 150, -10 )
( -150, -10 )
What is the rate of change of this table?
6
0
-6
5
The graph of f(x)=x2 is reflected over the x-axis and is stretched vertically to create the graph of function g. Which graph could represent g?
Which graph best represents the solution set of
−2x−3y>12 ?
Write an equation for the following word problem
A plumber charges $25 for a service call plus $50 each hour of service. If the total cost of the service is $350, how many hours did the plumber take to complete the job?
25x+50=350
350−25x=50
50x+25=350
350−50x=25
With word problems, what are the key words that represent the coefficient (number that you pair with the variable)?
each
times
every
per
pair
The total cost of renting a car can be found using the equation:
T=30+0.35mIf the total cost is $72, how many miles was the car driven?
(a)
Juan wanted to buy school supplies. He bought a notebook for $0.75 and pencils for $0.15 each. Write an equation to represent the total cost Juan spent on supplies.
T=75x+15
T=0.75x+0.15
T=75+15x
T=0.15x+0.75
Write an inequality
A canoe rental service charges $20 transportation fee and $30 per hour to rent a canoe. If you plan on spending a maximum of $250, how many hours can you rent the canoes?
30x+20≥250
30x+20≤250
20x+30≥250
20x+30≤250
Write an inequality for the following word problem.
You want to order movies online. Each move costs $2.50 and has a processing fee of $1.50. You must purchase at least $30 for the shipping to be free.
2.50x+1.50≤30
1.50x+2.50≥30
2.50x+1.50≥30
1.50x+2.50≥30
Anthony went to the market to buy apples and bananas. Apples, a cost $0.80 per pound and bananas, b cost $0.30 per pound. Write an inequality that represent the most Anthony can buy if he has $10 to spend.
0.80a+0.30b≥10
0.80b+0.30a≤10
0.80b+0.30a≥10
0.80a+0.30b≤10
Solve the following equation for y
2x−3y=9
y=−32x+3
y=32x−3
y=−23x−29
y=23x+29
5x−4y=8
y=45x−2
y=−45x+2
y=45x+2
y=−45x−2
y−2=−23(x+6)
y=−23x−11
y=−23−6
y=−23x+6
y=−23x−7
y+2=−(x−7)
y=−x−7
y=x−9
y=−x+5
y=−x−9
Solve the following equation for a
b=3a+4c
a=−3b−4c
a=3b−4c
a=3b+4c
a=34c+b
Solve the equation
−2m−6(m−8)=96
x=−16
x=10
x=−6
No Solution
What value of y makes the equation true?
10
-10
23
−23
−(3−7n)+6(2n−1)=16−2n+5
What is the solution to
710
107
1115
−1115
−2(m−4)>26+4m
What is the solution of the inequality?
m<−3
m>3
m>−3
m<3
−4x+10≥5x+55
What is the solution set for
x≥5
x≥45
x≤−5
x≤−45
Choose the correct inequality that represents the expression
x is at least 1
x>1
x<1
x≤1
x≥1
Choose the correct inequality that represents the expression
x is no more than 8
x>8
x<8
x≤8
x≥8
Choose the correct inequality that represents the expression
x above 3
x>3
x<3
x≤3
x≥3
Which system is represented by the graph?
y≤4x−1
y≤−2x+4
y≥4x−1
y≥−2x+4
y≤−2x+4
y≥4x−1
y≥−2x+4
y≤4x−1
Which expression is equivalent to 4108 ?
126
283
243
36
Which ordered pair is NOT a solution to the system of inequalities graphed?
(4, 6)
(0, 6)
(-1, 6)
(2, 7)
Which expression is equivalent to −7x+(6−3x2)+2−(5x3−4) ?
−8x2−7x+6
−8x2−7x+12
2x2−x+6
−2x2+3x−10
Which point represents a solution to the system graphed?
(0, -3)
(3, 3)
(-1, 1)
(-2, 2)
Which graph best represents the solution to this system of inequalities:
x−3y≥−3
How should we shade this inequality?
4x−2y>6
Above the line
Below the line
Which graph represents the solution set to
What type of line should we draw for the following inequalities:
y≤0
y≥0
solid line
dashed line
Which expression is equivalent to 80 ?
40
45
25
20
Which expression is equivalent to: (9+6r−2r2)+(−5r2−19+6r) ?
−7r2+12r−10
−7r2+12r−8
−7r2+2r+8
−7r2−12r+10
What type of line should we draw for the following inequalities:
y>0
solid line
dashed line
How should we shade this inequality?
5x−3y≤10
Above the line
Below the line
The graph of 0.5x−3y=9 is shown. Which ordered pair is a solution of 0.5x−3y≥9 ?
(-6, -1)
(-6, 1)
(6, 2)
(6, -2)
If a point lies on a dashed line, then the point is a solution.
True
False
