Equations and Inequalities with the Variable on Both Sides

Question 1

What is a solution?

Answer 1

a valuable of the variable that makes an equation true

Question 2

What is an integer?

Answer 2

the set of all whole numbers and their opposites

Question 3

What is an algebraic expression?

Answer 3

An expression that contains at least one variable

Question 4

What is a variable?

Answer 4

a quantity that may be changed according to the mathematical problem (for example, x in x + 5 = 10)

Question 5

What is a coefficient?

Answer 5

the number that is multiplied by the variable in an algebraic expression (for example, 2x + 6x + 14, and 2 and 6 are coefficients)

Question 6

What is a constant?

Answer 6

A value that does not change

Question 7

What is an inequality?

Answer 7

A mathematical sentence that shows the relationship between quantities that are not equal

Question 8

What is a rational number?

Answer 8

a number that can be expressed as the ratio of two integers

Question 9

What are operations?

Answer 9

Addition, subtraction, multiplication and division

Question 10

What is a common denominator?

Answer 10

a denominator that you can reach by both denominators. For example in the problem 3/4+ 5/6 a common denominator is 12 because it is the lowest number that both 4 and 6 can reach by multiplying with whole numbers

Question 11

What is the lowest common denominator?

Answer 11

the smallest number divisible by all denominators of the given set of fractions. For example: For the fractions 3/5 and 2/7 , the least common denominator is 35.

Question 12

What is a transformation?

Answer 12

a function that describes a change in the position, size or shape of a figure

Question 13

What is a reflection?

Answer 13

a transformation that flips a figure across a line

Question 14

What is a translation?

Answer 14

a function that slides a figure along a straight line

Question 15

what is a preimage?

Answer 15

the input of a transformation

Question 16

What is an image?

Answer 16

the output of a transformation

Question 17

What is a line of reflection?

Answer 17

a fixed line that flips a shape across itself so that each point on the shape is the same distance from the line as its reflected point

Question 18

What is center of rotation?

Answer 18

the point about which a shape can be rotated to achieve symmetry

Question 19

What is a coordinate plane?

Answer 19

a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0)

Question 20

What is a quadrilateral?

Answer 20

a two-dimensional, closed shape with four sides, four angles, and four vertices

Question 21

What is a parallelogram?

Answer 21

shapes that have four sides with two pairs of sides that are parallel. The four shapes that meet the requirements of a parallelogram are square, rectangle, rhombus, and rhomboid

Question 22

What is a rhombus?

Answer 22

A rhombus looks like a slanted square; a diamond-shaped quadrilateral that has all four sides equal

Question 23

What is a trapezoid?

Answer 23

quadrilaterals that have two parallel sides and two non-parallel sides