Unit 1 Coordinate Algebra

Question 1

algebraic expression

Answer 1

a mathematical statement that includes numbers, operations, and variables to represent a number or quantity

Question 2

base

Answer 2

the factor being multiplied together in an exponential expression; in the expression a^b, a is the base

Question 3

coefficient

Answer 3

the number multiplied by a variable in an algebraic expression

Question 4

constant

Answer 4

a quantity that does not change

Question 5

exponent

Answer 5

the number of times a factor is being multiplied together in an exponential expression; in the expression a^b, b is the exponent

Question 6

factor

Answer 6

one of two or more numbers or expressions that when multiplied produce a given product

Question 7

like terms

Answer 7

terms that contain the same variables raised to the same power

Question 8

order of operations

Answer 8

the order in which expressions are evaluated from left to right (grouping symbols, evaluating exponents, completing multiplication and division, completing addition and subtraction)

Question 9

term

Answer 9

a number, a variable, or the product of a number and variable(s)

Question 10

variable

Answer 10

a letter used to represent a value or unknown quantity that can change or vary

Question 11

equation

Answer 11

a mathematical sentence that uses an equal sign (=) to show that two quantities are equal

Question 12

exponential decay

Answer 12

an exponential equation with a base, b, that is between 0 and 1 (0 < b < 1); can be represented by the formula y = a(1 – r)t, where a is the initial value, (1 – r) is the decay rate, t is time, and y is the final value

Question 13

exponential equation

Answer 13

an equation that has a variable in the exponent; the general form is y = a • b x, where a is the initial value, b is the base, x is the time, and y is the final output value.

Question 14

exponential growth

Answer 14

an exponential equation with a base, b, greater than 1 (b > 1); can be represented by the formula y = a(1 + r)t, where a is the initial value, (1 + r) is the growth rate, t is time, and y is the final value inequality a mathematical sentence that shows the relationship between quantities that are not equivalent

Question 15

linear equation

Answer 15

an equation that can be written in the form ax + b = c, where a, b, and c are rational numbers

Question 16

quantity

Answer 16

something that can be compared by assigning a numerical value

Question 17

rate

Answer 17

a ratio that compares different kinds of units

Question 18

solution

Answer 18

a value that makes the equation true

Question 19

solution set

Answer 19

the value or values that make a sentence or statement true

Question 20

unit rate

Answer 20

a rate per one given unit

Question 21

coordinate plane

Answer 21

a set of two number lines, called the axes, that intersect at right angles

Question 22

dependent variable

Answer 22

labeled on the y-axis; the quantity that is based on the input values of the independent variable

Question 23

independent variable

Answer 23

labeled on the x-axis; the quantity that changes based on values chosen

Question 24

x-intercept

Answer 24

the point at which the line intersects the x-axis at (x, 0)

Question 25

y-intercept

Answer 25

the point at which the line intersects the y-axis at (0, y)

Question 26

algebraic inequality

Answer 26

an inequality that has one or more variables and contains at least one of the following symbols: , ≤, ≥, or ≠

Question 27

constraint

Answer 27

a restriction or limitation on either the input or output values

Question 28

inequality

Answer 28

a mathematical sentence that shows the relationship between quantities that are not equivalent

Question 29

system of equations

Answer 29

a set of equations with the same unknowns

Question 30

system of inequalities

Answer 30

a set of inequalities with the same unknowns

Question 31

formula

Answer 31

a literal equation that states a specific rule or relationship among quantities

Question 32

inverse

Answer 32

a number that when multiplied by the original number has a product of 1

Question 33

literal equation

Answer 33

an equation that involves two or more variables

Question 34

reciprocal

Answer 34

a number that when multiplied by the original number has a product of 1