Math Overview Flashcards
(145 cards)
1
Q
What is the definition of an algebraic expression?
A
An algebraic expression is a mathematical phrase that can include numbers, variables, and operations.
2
Q
True or False: The expression 3x + 5 is an algebraic expression.
A
True
3
Q
What does the variable ‘x’ represent in the expression 4x + 7?
A
The variable ‘x’ represents an unknown value.
4
Q
Fill in the blank: In the expression 2y - 3, the number 3 is called a ______.
A
constant
5
Q
What is the coefficient in the expression 5a + 2?
A
5
6
Q
Which operation is performed first in the expression 8 + 2 × 3?
A
Multiplication
7
Q
Simplify the expression: 2(3 + 4).
A
14
8
Q
What is the result of solving the equation x + 5 = 12?
A
x = 7
9
Q
True or False: The equation 2x - 4 = 0 has one solution.
A
True
10
Q
What is the solution to the inequality x - 3 < 5?
A
x < 8
11
Q
What does it mean for two expressions to be equivalent?
A
It means they have the same value for all values of their variables.
12
Q
What is the distributive property?
A
The distributive property states that a(b + c) = ab + ac.
13
Q
What is the first step in solving the equation 3(x - 2) = 9?
A
Distribute the 3.
14
Q
True or False: The expression 7x + 5x is equivalent to 12x.
A
True
15
Q
Identify the like terms in the expression 2x + 3y - 5x + 4y.
A
2x and -5x are like terms; 3y and 4y are like terms.
16
Q
What is the slope of the line represented by the equation y = 2x + 3?
A
2
17
Q
Fill in the blank: The point where a line crosses the y-axis is called the ______.
A
y-intercept
18
Q
What does the acronym PEMDAS stand for?
A
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
19
Q
True or False: The equation y = mx + b represents a linear function.
A
True
20
Q
What is the value of x in the equation 5x = 25?
A
x = 5
21
Q
What is the purpose of a variable in algebra?
A
A variable is used to represent an unknown value in mathematical expressions and equations.
22
Q
What is the process of combining like terms called?
A
Simplifying
23
Q
What is the solution to the equation 4x + 10 = 34?
A
x = 6
24
Q
Fill in the blank: An equation that states two expressions are equal is called an ______.
A
equation
25
What are the two sides of an equation separated by?
An equal sign (=)
26
True or False: The expression 3(x + 4) = 3x + 12 is an example of the distributive property.
True
27
What is the value of y in the equation 2y + 6 = 14?
y = 4
28
What is meant by the term 'solution set'?
The solution set is the set of all values that satisfy an equation or inequality.
29
What is the first step in solving the inequality 2x + 3 > 7?
Subtract 3 from both sides.
30
What does 'x' represent in the equation x + 2 = 10?
An unknown value.
31
True or False: The equation 3x + 2 = 2x + 5 has no solution.
False
32
What is the term for a number that can be divided by another number without leaving a remainder?
Divisible
33
What is the term used to describe a number that is not a whole number?
Fraction or decimal
34
Fill in the blank: In the equation y = mx + b, 'm' represents the ______.
slope
35
What is the value of x in the equation 6x - 12 = 0?
x = 2
36
What is an expression that consists of a number and a variable multiplied together called?
Monomial
37
True or False: The expression 4x² + 3x + 2 is a polynomial.
True
38
What is the degree of the polynomial 5x³ + 2x² - x?
3
39
What is the result of evaluating the expression 2x + 3 when x = 4?
11
40
Fill in the blank: The graph of a linear equation is a ______.
line
41
What do you call the highest power of a variable in a polynomial?
Degree
42
What is the solution to the equation 10 - 3x = 1?
x = 3
43
True or False: The expression 8y - 3y can be simplified to 5y.
True
44
What is the process of finding the value of a variable that makes an equation true called?
Solving the equation
45
What is the term for an equation that has no solution?
Inconsistent equation
46
What is the slope of a line that is horizontal?
0
47
What is the y-intercept of the equation y = 4?
4
48
True or False: The expression 2(x + 3) = 2x + 6 is an example of the associative property.
False
49
What does the term 'linear equation' refer to?
An equation that makes a straight line when graphed.
50
What is the value of x in the equation 7x + 2 = 23?
x = 3
51
What is the term for the number in front of a variable?
Coefficient
52
What is the solution to the equation 2x/4 = 1?
x = 2
53
Fill in the blank: The process of checking if a solution is correct is called ______.
verification
54
What does it mean to 'isolate the variable'?
To manipulate an equation so that the variable is on one side by itself.
55
56
What is the solution to the equation 2x + 3 = 11?
x = 4
57
True or False: An equation must have an equal sign.
True
58
Fill in the blank: The expression 5x - 2 is a __________.
linear expression
59
What is the value of x in the equation 3(x - 2) = 12?
x = 6
60
Multiple Choice: Which of the following is an example of a quadratic equation? A) x + 5 = 10 B) x^2 - 4 = 0 C) 3x = 9
B) x^2 - 4 = 0
61
What does it mean to 'solve an equation'?
To find the value(s) of the variable that make the equation true.
62
True or False: The equation y = 2x + 1 is a function.
True
63
What is the first step to solve the equation 4x - 7 = 9?
Add 7 to both sides.
64
Fill in the blank: The point where the graph of an equation crosses the x-axis is called the __________.
x-intercept
65
Multiple Choice: Which of the following represents a proportional relationship? A) y = 3x B) y = x + 5 C) y = 2x - 1
A) y = 3x
66
What is the coefficient in the term 7x?
7
67
True or False: The equation x/2 = 5 has two solutions.
False
68
What is the process of checking if a solution is correct called?
Verification
69
Fill in the blank: In the equation 6x + 4 = 10, the constant term is __________.
4
70
What is the solution to the equation 5(x + 3) = 25?
x = 2
71
72
What is the sum of 5 and 8?
13
73
True or False: A triangle has four sides.
False
74
Fill in the blank: The number that comes after 7 is ____.
8
75
What is 9 minus 4?
5
76
What shape has 3 sides?
Triangle
77
True or False: 12 is an even number.
True
78
What is the product of 6 and 7?
42
79
Fill in the blank: The perimeter of a rectangle is calculated by adding the lengths of all ____.
sides
80
What is 15 divided by 3?
5
81
What is the value of x in the equation 2x + 3 = 7?
2
82
What is the next number in the sequence: 2, 4, 6, ____?
8
83
True or False: A square is a type of rectangle.
True
84
What is the area of a rectangle with a length of 5 and width of 3?
15
85
Fill in the blank: A circle has no ____.
sides
86
What is the median of the following numbers: 3, 7, 5, 9, 1?
5
87
What is the greatest common factor of 8 and 12?
4
88
True or False: The sum of angles in a triangle is 180 degrees.
True
89
What is the first prime number?
2
90
Fill in the blank: In geometry, a line that intersects another line at a right angle is called a ____ line.
perpendicular
91
What is 25% of 200?
50
92
What is the formula for the area of a triangle?
1/2 * base * height
93
What is the least common multiple of 3 and 4?
12
94
True or False: 0 is a positive number.
False
95
What is the slope of a line that rises 2 units and runs 3 units?
2/3
96
Fill in the blank: A graph that shows the relationship between two variables is called a ____.
scatter plot
97
What do we call an angle that is less than 90 degrees?
Acute angle
98
What is 10 squared?
100
99
What is the circumference of a circle with a radius of 4?
8π (approximately 25.13)
100
Fill in the blank: A polygon with eight sides is called an ____.
octagon
101
What is the value of 3^3?
27
102
True or False: All rectangles are squares.
False
103
What is the formula for converting Celsius to Fahrenheit?
F = C × 9/5 + 32
104
What is the next number in the Fibonacci sequence: 0, 1, 1, 2, 3, ____?
5
105
What is the value of π (pi) approximately?
3.14
106
What is the difference between the largest and smallest number in the set: 4, 7, 1, 8?
7
107
Fill in the blank: A 3D shape with a circular base and a pointed top is called a ____.
cone
108
What is the total number of degrees in a circle?
360
109
What is 18 divided by 2?
9
110
True or False: A cube has 6 faces.
True
111
What is the lowest common denominator of 1/3 and 1/4?
12
112
What is the formula for the area of a circle?
πr²
113
What is a complementary angle?
2 angles with a sum of 90 degrees
114
What is a supplementary angle?
2 angles with a sum of 180 degrees
115
What is an adjacent angle?
Angles that have a common side and vertex but have no common points
116
What is a vertical angle?
a pair of oppisite angles formed by 2 intersecting lines
117
What does interior mean?
inside
118
What does exterior mean?
outside
119
What does a convex polygon measure?
less than 180 degrees
120
What does a concave polygon contain and measure?
One or more interior angles are less than 180 degrees
121
A regular polygon has congruent what?
sides and angles
122
What is a polygon?
a closed plane figure with 3 or more sides
123
What does tri mean?
3
124
What does penta mean?
5
125
What does octa mean?
8
126
What does hepta mean?
7
127
What does deca mean?
10
128
What does nona mean?
9
129
What does hexa mean?
6
130
What does quad mean?
4
131
It is a set of points all of which are the same from the given point, called the center
circle
132
It is a line segment with its endpoints on the circle
chord
133
It is a line segment with its endpoints on the center and the side of the circle
Radius/Radii
134
A chord that passes through the center and ends on the circle
Diameter
135
A part of the circle with all its points on the circle
arc
136
Semi-circle
connects the endpoints of the diameter
137
Sector
A region bounded by 2 radii and the arc
138
Central angle
The vertex or center of the circle
139
What integer represents the change in Chloe's account balance?
Chloe earned $8 yesterday by walking her neighbor's dog. She immediately deposited the $8 into her bank account.
8 dollars
140
When the value of ZGZ Electronics stock rose 3 points, the change was represented online as 3 points.
The next day, the change in value of the stock was represented as –1 point. Which of these describes the change in the stock's value?
It fell one point
141
Jake's mother owns shares of stock in the cruise-ship company where she works. Yesterday, the value of the stock fell 3 points.
What integer represents the change in the stock's value?
-3
142
What is the opposite of 3?
-3
143
What is the opposite of –17?
17
144
What is the absolute value of 6?
6
145
What is the absolute value of -13
13
