WorksheetsAlgebra 1 Mixed Regents Review
Total questions: 244
Worksheet time: 20hrs 20mins
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(2+3i)/(5+2i)
x2-16x+___ to complete the square?
√72x5
x^2 + 12x + ____
(1) -27
(2) -9
(3) 27
(4) 45
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Find the slope of a line that passes through the given points:
(5,1) and (8,3)
32
3−2
−23
23
Find the slope of a line that passes through the given points:
(1,1) and (3,4)
32
3−2
−23
23
Find the slope of a line that passes through the given points:
(6,3) and (1,4)
51
5−1
−5
1
x² - 5x - 14
A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.
y = 1.5x + 12
y = 12x + 1.5
y = 0.67x - 8
y = -8x + 0.67
The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the year in which the profits would reach 378 thousand dollars.
2029
2014
2003
8753
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 1994, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2003, rounded to the nearest whole number.
974
25,101
940
952
Find the solution to the following inequality:
6(x - 5) < 7x - 4
x ≥ 26
x > -26
x < -26
-x > 26
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Hint: Graph the solution set on a number line if needed
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12
Hint: Factor completely (Look for GCF first)
2(3x+5)2
2(3x-5)2
2(3x-5)(3x-5)
2(3x-25)(3x+25)
Hint: Which factoring method is used for 3 terms?
(x+12)(x-2)
(x-12)(x+2)
(x+6)(x+4)
(x-6)(x-4)
Hint: degree = highest exponent
Leading coefficient = number in front of the variable
3x4-2x2+4x-7
4+x-4x2+5x3
4x4-3x3+2x2
2x+x2+4x3
Which property was used to get to the second line?
Associative property
Commutative property
Distributive property
Zero property
Hint: cross-multiply to solve & put ( ) around the expression (x+10)
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10
30
y = x and y = 2x + 4
9, 13, 17, 21, 25...
What equation represents the relationship?
A = ½bh or b
Given
f(x)= 2x2 + 5x - 17, find f(-1).
f(-1) = -20
f(-1) = -24
-12
-21
You bought a magazine for $5 and four
erasers. You spent a total of $29. How
much did each eraser cost?
2x2 - 13x - 70
f(x) = x2 to the graph of g(x) = (x + 4)2?
(7p + 4p3 - 8) - (-3p2 + 2 - 9p)
What was the starting
height of the ball?
Write the following quadratic expression in completed square form...
x2 + 4x + 10
(x + 4)2 = -6
(x + 2)2 = -6
(x + 4)2 = 6
(x + 2)2 = 6
What does the domain represent?
y-values
x-values
addition
coordinate point
What is the first step to solving the following equation:
31(2x−4)=15
add 4 to both sides
distribute (multiply the 1/3)
combine 2x and -4
subtract 15 from both sides
The function g(x) is defined as g(x)=−2x2+3x . The value of g(-3) is...
-27
-9
27
45
A rational number is a whole number, an integer, a fraction, a repeating decimal, or a terminating decial. Check off all of the rational numbers.
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−51
13
0.313113111...
81
Ms. Daresta went to Staples to get some supplies. She bought 1 pen for $2.15 and each notebook she bought cost $4.50. Write an expression to represent how much money she spent at the store, use x as your variable.
(a)
A function is a set of ordered pairs where the x-value does not repeat. Which relation does not represent a function?
I and III
I and IV
II and III
II and IV
1 unit left and 2 units down
1 unit left and 2 units up
1 unit right and 2 units down
1 unit right and 2 units up
A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?
c = 60 − 0.05d
c = 60.05d
c = 60d − 0.05
c = 60 + 0.05d
Use the formula above to find the rate of change between points (-3, 4) and (1, -7)
(-2, -3)
4−11
114
43
Rewrite the equation so that it is set eqal to zero... 5x−9=4
(a)
The following symbols are what type of symbols
< > ≤ ≥
(a)
Factor x2−36
(a)
Which trinomial is equivalent to 3(x−2)2−2(x−1) ?
3x2−2x−10
3x2−2x−14
3x2−14x+10
3x2−14x+14
Find the solution to the following inequality:
6(x - 5) < 7x - 4
x ≥ 26
x > -26
x < -26
-x > 26
(2x + 7) - 3(5x - 4)
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* We have not covered this and probably won't have time to but think logically... causal relationship means 1 thing causes the other. So which one does not cause the other?
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Think of what the roots or zeros mean on a graph? graph this in your calc to help.
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* Get all into y= and use your calc.. remember the points are in your table
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Do not try and solve them all! Find the one that they did not multiply all all the way through by the same number.
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you must use CTS if they say to. use "sqrt" for the radical sign
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Select the best choice. (Hint: Grows means gets bigger or more in value....Decays means gets smaller or less in value)
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Choose the best choice. (Hint: Causal Relationship means that one variable effects the other.)
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How many solutions are there to the equation below?
2x + 7 = −8x − 9 + 10x
One Solution
Infinite Solutions
No Solution
What is the value of x in the equation
2(x − 4) = 4(2x + 1)?
-2
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-1/2
1/2
Solve for x: 15x − 3(3x + 4) = 6
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1/3
If 2x + 5 = −25 and −3m− 6 = 48, what is the
product of x and m?
-270
-33
3
270
If −2x + 3 = 7 and 3x + 1 = 5 + y, the value of y is
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Which value of x is the solution of the equation 32x+6x= 5 ?
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If 3(a−2) = 5m − 6 + 2a , what is the value of a, in terms of m?
23m
3
5m
5m - 3
Michael borrows money from his uncle, who is charging him simple interest using the formula 𝐼=𝑃𝑟𝑡. To figure out what the interest rate, 𝑟, is, Michael rearranges the formula to find 𝑟. His new formula is
r = tI−P
r = tP−I
r = IPt
r = PtI
Find three consecutive integers such that twice the smallest is 12 more than the largest.
{14, 15, 16}
{16, 17, 18}
{16, 18, 20}
{14, 16, 18}
How many solutions are there to the equation below?
3 − 7t = −5t +3 −2t
One Solution
Infinite Solutions
No Solution
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Select the best choice. A zero of a function is an x-value that makes the function equal to 0.
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