Font size
WorksheetsAlgebra 1 EOC Review
Total questions: 205
Worksheet time: 8hrs 53mins
Simplify. 4√10 (3√6)
12√60
24√15
12√15
3√15
√6 ⋅√6
10×10×10×10×10=
10×5
105
103=
10×10×10
10×3
10+10+10
10,000
Which number is the BASE? 27 =128
2
7
128
27
If a number or variable does not have an exponent, we can assume the exponent is:
0
1
y0=
y
0
1
10
3650=
0
1
365
3651
x−5 =
x−51
x51
1x5
1x−5
x3⋅x4 =
x12
x−1
x7
x34
m2⋅m6⋅m=
m8
m12
m4
m9
x4x9 =
x13
x36
x5
x−5
x8x17
x9
x25
x−9
x−25
3x9x2=
3x2
3x
9x
6x
3x3 – 6x
3x3 – 6x
2x – 9
2x – 9
3x2 – 8x + 1
3x2 – 8x + 1
12
9x
Find the sum (2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
2x2 + 3x +1
-2x2 - 11x -4
2x2+ 5x -7
-2x2 + 11x -4
Simplify (4x3 - 5x2 + 3x) + (-2x3 - x2 + 6x)
2x3 - 6x2 - 9x
2x3 + 6x2 + 9x
-2x3 - 6x2 + 9x
2x3 - 6x2 + 9x
Combine (3x - 4) + (12x + 10)
x - 12
15x + 6
36x + 40
17x + 9,000
(7p + 4p3 - 8) - (-3p2 + 2 - 9p)
(3- 2x + 2x2) - (4x -5 +3x2)
(r2 + s2) – (5r2 + 4s2)
(x+5)2
x2(2x+3)
2x3x2−2xy
1.5x3 −x2y
1.5x − y
1.5x + y
1.5x − 2y
2b4ab − 8b
2a + 4
2ab - 4
2a - 4
2a - 4b
What is the GCF of 18 and 24?
3
6
8
9
10x + 15
x2 - 5x
56a3-8a
Factor out the GCF
3x3 + 9x
3x (x2 + 3)
3x ( x3 + 9)
x (3x2 + 9)
3x (x3 + 3x)
What is ALWAYS the first step when factoring?
Look for the GCF
Write a, b, and c
Difference of squares
Group
Factor 4x2-9
(4x-9)(4x+9)
(2x-3)(2x+3)
2x-3
(2x-4.5)(2x+4.5)
25x2-81
x2 + 9x - 36
n2 + 16n + 63
k2 - 2k - 24
x2 + 6x + 20
3a2 + 4a + 1
Factor the Following 4-Term Polynomial:
56m3+21m2+8m+3
(7m2+1)(8m+3)
(7m2+1)(8m−1)
(7m2+3)(8m−1)
(7m2+3)(8m+1))
Factor the Following 4-Term Polynomial:
3n3+4n2−21n−28
(n2+7)(n2+4)
(n2−7)(3n+4)
(n2+7)(n−2)(n+2)
(n2−7)(n−2)(n+2)
Factor the Following 4-Term Polynomial:
3m3−m2+12m−4
(m−1)(m+1)(3m−4)
(m2+4)(3m+1)
(m−2)(m+2)(3m+4)
(m2+4)(3m−1)
x + 7 = 12
x - 4 = -3
x - 4 = 6
4p = 16
x/-3 = -4
Solve.
6a + 5a = −11
a = 0
a = 1
a = −1
None of these
4x + 6 + 3 = 17
x = 6.5
x = −6.5
x = −2
x =2
24 = 3(3x −7)
x = −9
x = 5
x =3
x = 7
−5(4x − 2) = −2(3 +6x)
x = 2
x = 8
x = −2
x = −8
Solve:
5x + 4 = 5x − 3
x = 4
x = -3
infinitely many solutions
no solutions
Solve:
2y − 3 = 2y − 3
y = 0
y = -3
infinitely many solutions
no solutions
Solve:
9y − 5 = 2y + 9
y = -2
y = 2
infinitely many solutions
no solutions
Solve:
3(x − 2) = 3x − 6
x = 6
x = -6
infinitely many solutions
no solutions
What does it mean when an equation has one solution?
the equation is always TRUE when any value is substituted in for the variable
the equation will NEVER be true when any value is substituted in for the variable
only ONE solution will make the equation true
What does it mean when an equation has infinitely many solutions?
"To infinity and beyond"
the equation is always TRUE when any value is substituted in for the variable
the equation will NEVER be true when any value is substituted in for the variable
only ONE solution will make the equation true
Solve:
3
4
-7
15
Solve:
4
6
-2
5
Solve:
-2
4
15
9
|x-3|=40
x = 43, x = -37
x = 43, x = -43
x = -43, x = 37
x = 43
|x+7|=12
x = -5, x = 19
x = 5, x = -19
x = 5, x = -5
x = 12, x = -7
x = -6
x = -12
x = -12
If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?
3 + 2x
3x + 2
3x + 2x
5x
A plumber charges $50 to make a house call plus $40 for each hour worked. What is the expression and what does he make if he worked 5 hours?
50x + 40; $290
50x + 40x; $450
50 + 40x; $250
90x; $450
Six decreased by twice a number.
2x - 6
6 < 2x
6 - x
6 - 2x
Nine times the sum of a number and three
9 ( 3x )
9 ( x + 3 )
9 ( x - 3 )
9x (3)
Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, how much was each pen?
12.5x +9 = 43.73
73.43 = 12.5x + 9
12.5 - 9x = 43.73
43.73 = 12.5 + 9x
Which value of x is NOT in the solution set shown on the number line?
-6
-5.3
-4
-4.1
-2 < x - 9 < 3
x < 12
7 < x
7 < x < 12
0 < x + 7 < 9
-7< x <2
-7< x or x<2
2 < x < -7
-7>x or x>2
What inequality is graphed?
2 < x ≤ -3
2 < x < -3
x > 2 or x ≤ -3
x > 2 or x < -3
3x + 2 < -7 or -4x + 5 < 1
If 9=x, then x=9
39=39
6(x + 3)
What operation is shown in the problem?
6+t=5
addition
subtraction
multiplication
division
What would the inverse operation be?
6+t=5
addition
subtraction
multiplication
division
What operation is shown in the problem?
2s=19
addition
subtraction
multiplication
division
What would the inverse operation be?
2s=19
addition
subtraction
multiplication
division
What operation is shown in the problem?
7r=15
addition
subtraction
multiplication
division
What would the inverse operation be?
7r=15
addition
subtraction
multiplication
division
What operation is shown in the problem?
25=r−4
addition
subtraction
multiplication
division
What would the inverse operation be?
25=r−4
addition
subtraction
multiplication
division
(6,7) and (4,2)
(2, 4) and (6, 12)
What is the slope formula?
Find the slope of the line with the equation
x + 2y = −4
−1
1
−21
−2
Graph the line with the equation
y = −31x − 4
Write the equation of the graph
y=1
x=1
y=x+1
y=x
2x + y = 6
3x + 8y = 24
Write the slope-intercept form of the equation with the given point and slope.
Through ( - 1,4 ) and m = - 3
y = x - 3
y = - 3x + 1
y = x + 2
y= - 3x + 4
Write an equation
m = - 1/2 through ( -2, 4 )
y = - 3/2x + 3
y = 3/2x + 3
y = - 1/2x + 3
y = 3x - 3/2
Write the equation of the line that passes through the points ( 0, - 5 ) and ( 4, 3 )
y = 2x - 5
y = 1/2x - 5
y = 2x + 5
y = 1/2x + 5
Find the Domain.
(3, +∞)
(0, +∞)
[0, +∞)
What is the Range?
All real numbers
y ≥ 3
y > 3
3 ≤ y ≤ 8
If f(x) = 2x + 5, find f(-3).
1
-1
4
-4
If g(x) = -8x + 1, find g(-2).
-8
-15
17
8
If f(x) = 3x - 5, find f(4)
-7
5
-3
7
Determine which type of function the following is:
7x+8y=56
Linear
Quadratic
Exponential
Not a function
Determine which type of function the following is:
y=5x2−7x+9
Linear
Quadratic
Exponential
Not a function
Determine which type of function the following is:
y=5(6.1)x−12
Linear
Quadratic
Exponential
Not a function
Determine which type of function the following is:
Linear
Quadratic
Exponential
Not a function
Determine which type of function the following is:
Linear
Quadratic
Exponential
Not a function
Determine which type of function the following is:
Linear
Quadratic
Exponential
Not a function
Determine which type of function the following is:
Linear
Quadratic
Exponential
Not a function
Select an equivalent expression of:
(x - 3)(x - 3)?
(x2 - 32)
(x2 - 3)
(x + 3)(x - 3)
(x - 3)2
Identify the solutions of the graph?
x= 0 and x= -4
x= 0 and x= 4
y= 0
x= 2
If a quadratic function is represented as f(x) = (x - 7)(x + 8), find the zeroes.
x = - 7 and x = 8
x = 7 and x = -8
What is the mode?
The middle number in an ordered set of data.
The difference between the greatest and least amount in the data set
The value that occurs the most often in a data set
The sum of all the numbers in a data set divided by the size
Which is a synonym for "average?"
median
mode
range
mean
There can be more than one mean
True
False
There can be more than one mode
True
False
What is the mode of the following data set...
4 , 8 , 5 , 17 , 5 , 4 , 9 , 5 , 6 , 82
4
9
6
5
If you score 76, 85, 97, and 83 on your math tests for the unit, what would your median score be?
84
90
85
88
Find the mean of these numbers:
5, 11, 2, 12, 4, 2
2
6
4.5
5
What does point C on the box plot represent?
First Quartile
Median
Third Quartile
Mean
What do points B and D represent on the box plot?
Mean and Mode
Mean and Median
Least and Greatest Value
First and Third Quartiles
What is the median of this data set?
8
12
15
19
What is the least and greatest value of this data set?
6 and 8
6 and 19
8 and 15
15 and 19
What is the range of this data set?
6
12
13
19
Interquartile Range is
the difference between the third quartile and the first quartile
the difference between the greatest and least data values.
Range is
the difference between the third quartile and the first quartile
the difference between the greatest and least data values.
