WorksheetsAlgebra 1 Regents Review
Total questions: 50
Worksheet time: 11hrs 6mins
Name
Class
Date
1.
A coefficient is ...
a)
A polynomial with two terms
b)
A term that has no variable factor
c)
A mathematical sentence that uses an equal sign
d)
The numerical factor when a term has a variable
2.
A coefficient is ...
a)
A polynomial with two terms
b)
A term that has no variable factor
c)
A mathematical sentence that uses an equal sign
d)
The numerical factor when a term has a variable
3.
A monomial is...
a)
Equations that have the same solution
b)
A real number, a variable, or a product of a number and one or more variables with whole number exponents
c)
Two numbers that identify the location of a point
d)
Numbers whose square roots are integers
4.
An exponent is ....
a)
Two simple inequalities joined with “and” or “or”.
b)
The distance a number is from zero on a number line. Absolute value is denoted as |x|.
c)
The number in a power that represents the number of times the base is used as a factor.
d)
The set of numbers consisting of the positive numbers, the negative numbers, zero, and the numbers between them.
5.
An expression is....
a)
A collection of numbers, symbols, and/or operation signs that stands for a number.
b)
The relationship between two sets (e.g., sets of numbers) in which each element of one set has one assigned element in the other set.
c)
The value of a variable when all other variables in the equation equal zero (0). On a graph, the values where a function crosses the axes.
d)
An action that cancels a previously applied action.
6.
An ordered pair is...
a)
Two lines in the same plane that never meet. Also, lines with equal slopes.
b)
A location in space that has no length or width.
c)
The location of a single point on a rectangular coordinate system where the digits represent the position relative to the x-axis and y-axis
d)
All rational and irrational numbers.
7.
An example of the distributive property of multiplication is....
a)
2 × 3 = 3 × 2
b)
2 × (3 + 4) = (2 × 3) + (2 × 4)
c)
2 × 1 = 2
d)
2 ×1/2= 1
8.
Like terms are...
a)
A number that can be expressed as a fraction (ratio) of 2 integers with denomination not equal to 0.
b)
Terms that have the same variable(s) raised to the same power
c)
Numerical terms (no variable)
d)
Numbers that are not rational
9.
What is absolute value?
a)
The absolute least amount you pay for an item.
b)
A number's distance from zero
c)
A negative number
d)
0
10.
a)
-1
b)
-4
c)
-4, -1
d)
1, 4
11.
a)
8
b)
4
c)
12
d)
16
12.
a)
4x2 + x + 1
b)
5x2 + 1
c)
4x2 + x - 1
d)
3x2 + 2x - 1
13.
Which of the following does not represent a function?
a)
{(-3, 9), (-1, 1), (1, 1), (3,9)}
b)
{(-2, 4), (-2, -3), (0, -5), (1, -7)}
c)
{(-4, 2), (-1, 2), (0, 2), (5, 2)}
d)
{(-6, -5), (-4, 0), (-1, 3), (1, -3)}
14.
a)
A
b)
B
c)
C
d)
D
15.
Find the equation of the line shown
a)
y = 4x - 2
b)
y = -2x + 4
c)
y = 2x + 4
d)
y = -4x - 2
16.
|x+3| = 7
a)
4
b)
-4
c)
4 and - 4
d)
4 and - 10
17.
If g(x) = 2x2 - 4, find g(-2)
a)
-8
b)
-12
c)
4
d)
0
18.
a)
F.
b)
G.
c)
H.
d)
J.
19.
Match the graph with the inequality
a)
y≥x−1
b)
y≤x−1
20.
If f(x) = 2x - 8, what is the value of f(-12)?
a)
16
b)
32
c)
-32
d)
-16
21.
Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
a hoppy hippo
22.
a)
Function
b)
Not a Function
23.
Which equation matches the graph?
a)
y = 2x + 3
b)
y = -3
c)
y = 2x - 3
d)
y = -3x + 2
24.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
25.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
26.
Solve the equation
4(2x-5)=7(2x+4)
4(2x-5)=7(2x+4)
a)
8
b)
-8
c)
-1.5
d)
1.5
27.
Write a linear function f with the values
f(1) = 3 and f(4) = -6.
f(1) = 3 and f(4) = -6.
a)
y = -3x + 6
b)
y = -6
c)
y = -3x - 6
d)
y = 3x + 6
28.
Monica was taking a bus trip to see her aunt. For her to ride 50 miles it cost her $40. For her to ride 250 miles the bus trip would cost her $100. Find the rate of change in dollars per mile. Write an equation in slope-intercept form to model this situation.
a)
y = 3/10x + 40
b)
y = 2.5x + 25
c)
y = 3/10x + 30
d)
y = 3/10x + 25
29.
Which one is the constant?
5g3 + 2
5g3 + 2
a)
5
b)
g
c)
3
d)
2
30.
Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.
a)
a + c = 21
6a + 4c = 104
6a + 4c = 104
b)
a + c = 104
6a + 4c = 21
6a + 4c = 21
c)
a + c = 21
6c + 4a = 104
6c + 4a = 104
d)
a + c = 104
6c + 4a = 21
6c + 4a = 21
31.
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
a)
y=1400(1.09)x
b)
y=1.09(1400)x
c)
y=1400(.91)x
d)
y=1.09x
32.
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What percent did the population increase each year?
a)
4%
b)
It doesn't say
c)
I don't know
d)
400%
33.
What is the solution to this system?
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
34.
Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and Large cups for $2.50. If Ashley sold a total of 155 cups for $265, which system could be used to determine the number of small (x) and large (y) cups she sold?
a)
x + y = 265
1.25x+2.5y=155
1.25x+2.5y=155
b)
x + y = 155
2.5x+1.25y=265
2.5x+1.25y=265
c)
x + y = 265
2.5x+1.25y=155
2.5x+1.25y=155
d)
x + y = 155
1.25x+2.5y=265
1.25x+2.5y=265
35.
Find the vertex of
f(x) = -x2 - 4x + 12
f(x) = -x2 - 4x + 12
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
36.
Joe Mauer hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t2 + 140t + 2
What was the starting
height of the ball?
What was the starting
height of the ball?
a)
-16 feet
b)
140 feet
c)
2 feet
d)
0 feet
37.
x2 - 5 = -4
a)
1, -1
b)
3, -3
c)
3
d)
1
38.
Solve by taking square roots:
5m2 + 1 = 6
5m2 + 1 = 6
a)
m = 0
b)
m = 1 or -1
c)
m = √7
d)
m = 7/5 m = -7/5
39.
Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)
(3x²-3x+2)-(x²-2x+1)
a)
2x²+x+1
b)
2x²-5x+3
c)
2x²-x+1
d)
4x²-5x+3
40.
What is the y intercept for the equation:
y = -8x2 + 3x - 7
y = -8x2 + 3x - 7
a)
(0, -8)
b)
(0, 3)
c)
(-8, -7)
d)
(0, -7)
41.
What are the zeros of the function defined by x2 – 2x – 15?
A (–5, –3)
B (–5, 3)
C (–3, 5)
D (3, 5)
A (–5, –3)
B (–5, 3)
C (–3, 5)
D (3, 5)
a)
A
b)
B
c)
C
d)
D
42.
Which form is the equation
y = -3(x-5)2+7 in?
y = -3(x-5)2+7 in?
a)
Standard
b)
Vertex
c)
Factored
d)
None of These
43.
Convert to vertex form.
a)
y=3(x+1)2 - 8
b)
y=3(x-1) 2 - 8
c)
y=3(x+2)2 - 8
d)
y=3(x-2)2 - 8
44.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
45.
Find the vertex of
f(x) = -x2 - 4x + 12.
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
46.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
47.
In the equation f(x)=1/2(x+9)2-1, what happens to the parabola?
a)
Reflect, compress by 1/2, left 9, down 1
b)
Compress by 1/2, left 9, down 1
c)
Compress by 1/2, right 9, down 1
d)
Stretch by 1/2, left 9, down 1
48.
If the graph of y = ax2 + bx + c opens down, which of the following must be true?
a)
a < 0
b)
a > 0
c)
c < 0
d)
c > 0
49.
The vertex form of the parabola is...
a)
y = a(x - h)2 + k
b)
y = mx + b
c)
x = h
d)
f(x) = ax2 + bx + c
50.
Factor
x2 +17x - 60
x2 +17x - 60
a)
(x - 20)(x + 3)
b)
(x + 12)(x - 5)
c)
(x - 12)(x + 5)
d)
(x + 20)(x - 3)
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