Vocabulary Flash Cards
absolute value
additive inverse
Chapter 1
Chapter 1
Additive Inverse Property
Chapter 1
integers
Chapter 1
rational number
Chapter 1
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Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
The opposite of a number
The additive inverse of 8 is − 8.
The distance between a number and 0 on a number
line; The absolute value of a number a is written
as a .
1
1
=
5
5
|0.7| = 0.7
−
The set of whole numbers and their opposites
… − 3, −2, −1, 0, 1, 2, 3, …
The sum of a number and its additive inverse, or
opposite, is 0.
6 + (−6) = 0
−25 + 25 = 0
A number that can be written as
a and b are integers and
3= ,
where
≠0
− =
0.25 = , 1 =
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Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
complex fraction
repeating decimal
Chapter 2
Chapter 2
terminating decimal
Chapter 2
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Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
A decimal that has a pattern that repeats
0.555 … = 0. 5
1.727272 … = 1.72
A fraction that has at least one fraction in the
numerator, the denominator, or both
,
,
A decimal that ends
1.5, 2.58, −5.605
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Vocabulary Flash Cards
factoring an expression
Chapter 3
linear expression
Chapter 3
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like terms
Chapter 3
simplest form (of an
algebraic expression)
Chapter 3
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
Terms of an algebraic expression that have the
same variables raised to the same exponents
4 and 8, 2x and 7x,
and 5
An algebraic expression is in simplest form when
it has no like terms and no parentheses.
6 +9
,3 +5
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Writing a numerical expression or an algebraic
expression as a product of factors
5 − 15 = 5( − 3)
An algebraic expression in which the exponent of
each variable is 1
−4 , 3 + 5, 5 −
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
Addition Property
of Equality
Chapter 4
Division Property
of Equality
Chapter 4
equivalent equations
Chapter 4
inequality
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Chapter 4
Division Property
of Inequality
Chapter 4
graph of an inequality
Chapter 4
Multiplication Property
of Equality
Chapter 4
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Addition Property
of Inequality
Chapter 4
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
When you add the same number to each side of an
inequality, the inequality remains true.
− 5 = −1
+5 +5
= 4
− 3 > −10
+3
+3
> −7
When you divide each side of an inequality by the
same positive number, the inequality remains true.
When you divide each side of an inequality by
the same negative number, the direction of the
inequality symbol must be reversed for the
inequality to remain true.
4
> −12
>
> −3
−5
Adding the same number to each side of an
equation produces an equivalent equation.
> 30
<
Dividing each side of an equation by the same
number produces an equivalent equation.
−3 = 18
−3
18
=
−3
−3
= −6
< −6
A graph that shows all the solutions of an
inequality on a number line
Equations that have the same solutions
2 − 8 = 0 and 2 = 8
> −2
−3
−2
−1
0
1
2
3
Multiplying each side of an equation by the same
number produces an equivalent equation.
4
4 •
4
= −6
A mathematical sentence that compares expressions;
contains the symbols <, >, ≤, or ≥
− 4 < 14,
+ 5 ≥ −12
= 4 • (−6)
= −24
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Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
Multiplication Property
of Inequality
Chapter 4
solution set
solution of an inequality
Chapter 4
Subtraction Property
of Equality
Chapter 4
Chapter 4
Subtraction Property
of Inequality
Chapter 4
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Vocabulary Flash Cards
A value that makes an inequality true
A solution of the inequality
+ 3 > −9 is
= 2.
When you multiply each side of an inequality by the
same positive number, the inequality remains true.
When you multiply each side of an inequality by
the same negative number, the direction of the
inequality symbol must be reversed for the
inequality to remain true.
< −9
2
<2
<3
(−9)
−6
< −18
Subtracting the same number from each side of an
equation produces an equivalent equation.
> −6
3
> −18
The set of all solutions of an inequality
+ 5 = 25
−5 −5
= 20
When you subtract the same number from each
side of an inequality, the inequality remains true.
+ 7 > −20
−7
−7
> −27
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Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
constant of proportionality
cross products
Chapter 5
Chapter 5
Cross Products Property
equivalent rates
Chapter 5
Chapter 5
equivalent ratios
proportion
Chapter 5
Chapter 5
proportional
rate
Chapter 5
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Chapter 5
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
In the proportion
and
•
= , the products
•
are called cross products.
=
The number k in the direct variation equation
= ; the multiplicative relationship between
two quantities
The constant of proportionality in the equation
= 2 is 2.
2 • 6 and 3 • 4
Rates that have the same unit rate
The cross products of a proportion are equal.
2 4
=
3 6
4 liters in 12 minutes and 2 liters in 6 minutes
2 • 6=3 • 4
An equation stating that the values of two ratios
are equivalent
Two ratios that describe the same relationship
5 : 7 and 15 : 21
3 12
=
4 16
A ratio of two quantities using different units
Two quantities that form a proportion are
proportional.
You read 3 books every 2 weeks.
Because
and
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and
form a proportion,
are proportional.
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
ratio
ratio table
Chapter 5
Chapter 5
scale
scale drawing
Chapter 5
Chapter 5
scale factor (of a
scale drawing)
scale model
Chapter 5
unit rate
value of a ratio
Chapter 5
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Chapter 5
Chapter 5
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
A table used to find and organize equivalent ratios
×4 +3 ÷3
Cups
3
12
15
5
Quarts
3
4
3
15
4
5
4
×4 +
A comparison of two quantities; The ratio of a to b
can be written as a : b.
4:1
÷3
A proportional, two-dimensional drawing of
an object
A ratio that compares the measurements of a
drawing or model with the actual measurements
12 cm : 1 cm
A blueprint or a map
A proportional, three-dimensional model of
an object
The value of a scale when the units are the same
A drawing has a scale of 1 mm : 15 cm. The scale
factor is
.
The number associated with the ratio
∶
The value of a ratio describes the multiplicative
relationship between the quantities in the ratio.
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A rate that compares a quantity to one unit of
another quantity
The speed limit is 65 miles per hour.
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
discount
interest
Chapter 6
Chapter 6
markup
percent of change
Chapter 6
Chapter 6
percent of decrease
percent error
Chapter 6
Chapter 6
percent of increase
Chapter 6
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principal
Chapter 6
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
Money paid or earned for the use of money
A decrease in the original price of an item
The original price of a pair of shoes is $95.
The sale price is $65. The discount is $30.
=
Interest
The percent that a quantity changes from the
original amount;
percent of change =
amount of change
original amount
The increase from what a store pays to the
selling price
A store buys a hat for $12 and sells it for $20.
The markup is $8.
The percent of change from 20 to 25 is:
=
= 25%
The percent that an estimated quantity differs from
the actual amount
percent error =
amount of error
actual amount
Estimated length: 16 feet
Percent error:
Actual length: 21
, or about 23.8%
The percent of change when the original amount
decreases;
percent of decrease
original amount − new amount
=
original amount
The price of a shirt decreases from $20 to $10.
The percent of decrease is
, or 50%.
An amount of money borrowed or deposited
The percent of change when the original amount
increases;
You deposit $200 in an account that earns
4% simple interest per year. The principal
is $200.
percent of increase
new amount − original amount
=
original amount
The price of a shirt increases from $20 to $30.
The percent of increase is
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, or 50%.
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
simple interest
Chapter 6
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Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
Money paid or earned only on the principal
Simple Interest
=
Principal
Annual interest rate
(in decimal form)
Time (in years)
You put $200 into an account. The account earns
5% simple interest per year. The interest earned after
3 years is $200 × 0.05 × 3 or $30. The account
balance is $200 + $30 = $230 after 3 years.
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Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
compound event
event
Chapter 7
Chapter 7
experiment
experimental probability
Chapter 7
Chapter 7
favorable outcomes
Fundamental Counting
Principle
Chapter 7
Chapter 7
outcomes
probability
Chapter 7
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Chapter 7
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
A compound event consists of one or more events.
The probability of a compound event is the
quotient of the number of favorable outcomes and
the number of possible outcomes.
A collection of one or more outcomes
Flipping heads on a coin
Spinning a 3 on a spinner and flipping heads on a
coin
A probability based on repeated trials of an
experiment
number of times the event occurs
(event) =
total number of trials
An investigation or a procedure that has varying
results
Rolling a number cube
A basketball player makes 19 baskets in 28 attempts.
The experimental probability that the player makes a
basket is , or about 68%.
A way to find the total number of possible
outcomes; An event M has m possible outcomes
and event N has n possible outcomes. The total
number of outcomes of event M followed by
event N is × .
The outcomes of a specific event
When rolling a number cube, the favorable
outcomes for the event “rolling an even number”
are 2, 4, and 6.
You have 7 shirts, 5 pairs of pants, and 2 pairs of
shoes. You can make 7 × 5 × 2 = 70 different
outfits.
A measure of the likelihood, or chance, that an
event will occur
Equally likely to
happen or not happen
Impossible
Unlikely
Certain
The outcomes of flipping a coin are heads
and tails.
Likely
0
1
4
1
2
3
4
1
0
0%
0.25
25%
0.5
50%
0.75
75%
1
100%
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The possible results of an experiment
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
relative frequency
Chapter 7
simulation
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Chapter 7
theoretical probability
Chapter 7
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sample space
Chapter 7
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
The set of all possible outcomes of one or more
events
The fraction or percent of the time that an event
occurs in an experiment
You flip a coin twice. The outcomes in the sample
space are HH, HT, TH, and TT.
You flip a coin 20 times. If you flip heads
11 times, the relative frequency of flipping heads
is , or 55%.
The quotient of the number of favorable outcomes
and the number of possible outcomes when all
possible outcomes are equally likely
An experiment that is designed to reproduce the
conditions of a situation or process so that the
simulated outcomes closely match the real-world
outcomes
(event) =
number of favorable outcomes
number of possible outcomes
When rolling a number cube, the theoretical
probability of rolling a 4 is .
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Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
biased sample
population
Chapter 8
sample
unbiased sample
Chapter 8
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Chapter 8
Chapter 8
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
A population is an entire group of people or
objects.
Population: All of the 14-year-old females in
the United States
A sample that is not representative of a population
You want to estimate the number of students in
your school who like to play basketball. You
survey 100 students at a basketball game.
Sample: All of the 14-year-old females in your
town
A sample that is representative of a population
A part of a population
You want to estimate the number of students in
your school who like to play basketball. You
survey 100 students at random during lunch.
Population: All of the potted plants from a
department store
Sample: 10 potted plants from the department store
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Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
adjacent angles
center (of a circle)
Chapter 9
Chapter 9
circle
circumference
Chapter 9
Chapter 9
complementary angles
composite figure
Chapter 9
Chapter 9
diameter (of a circle)
Chapter 9
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pi ( )
Chapter 9
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
The point inside a circle that is the same distance
from all points on the circle
Two angles that share a common side and have
the same vertex
center
1 2
4 3
∠1 and ∠ 2 are adjacent.
∠ 2 and ∠ 4 are not adjacent.
The set of all points in a plane that are the same
distance from a point called the center
The distance around a circle
circumference
A figure made up of triangles, squares, rectangles,
and other two-dimensional figures
Two angles whose measures have a sum of 90°
semicircle
2
60°
30°
1
rectangle
The ratio of the circumference of a circle to its
diameter
The value of π can be approximated as 3.14 or
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The distance across a circle through the center
.
diameter
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
radius (of a circle)
semicircle
Chapter 9
Chapter 9
supplementary angles
Chapter 9
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vertical angles
Chapter 9
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
One-half of a circle
The distance from the center of a circle to any
point on the circle
radius
Opposite angles formed by the intersection of two
lines
Two angles whose measures have a sum of 180°
1
4
2
3
135°
45°
3
4
∠1 and ∠3 are vertical angles.
∠2 and ∠4 are vertical angles.
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Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
cross section
lateral surface area
(of a prism)
Chapter 10
regular pyramid
Chapter 10
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Chapter 10
slant height (of a pyramid)
Chapter 10
Big Ideas Math Modeling Real Life: Grade 7
Vocabulary Flash Cards
The sum of the areas of the lateral faces of a prism
3 cm
4 cm
5 cm
The intersection of a plane and a solid
The intersection of the
plane and the cone is a
circle
Lateral surface area = 2(4)(3) + 2(5)(3)
= 24 + 30 = 54 cm
The height of each lateral triangular face of a
pyramid
A pyramid whose base is a regular polygon
slant height
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Big Ideas Math Modeling Real Life: Grade 7