#### Study sets matching "semester 1 exam review algebra"

#### Study sets matching "semester 1 exam review algebra"

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Adding a number to the end. y = f(x) + k

Subtracting a number from the end. y = f(x) - k

Adding a number inside the parentheses. y = f(x + h)

Subtracting a number inside the parentheses. y = f(x - h)

Shift Up

Adding a number to the end. y = f(x) + k

Shift Down

Subtracting a number from the end. y = f(x) - k

variable

algebraic expression

equation

simplify

A letter used to represent one or more numbers

A mathematical phrase involving at least one variable and som…

A mathematical sentence that contains an equals sign.

Replace an expression with its simplest name or form

variable

A letter used to represent one or more numbers

algebraic expression

A mathematical phrase involving at least one variable and som…

Standard form

X intercept

Y intercept

Horizontal Lines

ax + by = c Look for a 'total'

Where line crosses X axis, X value where Y = 0

Where line crosses Y axis, Y value where X = 0, the 'b value'…

slope of 0, no x intercept, always written as y = k

Standard form

ax + by = c Look for a 'total'

X intercept

Where line crosses X axis, X value where Y = 0

Linear

Quadratic

Absolute Value

Square Root

Name the family that this function belongs to.

Name the family that this function belongs to.

Name the family that this function belongs to.

Name the family that this function belongs to.

Linear

Name the family that this function belongs to.

Quadratic

Name the family that this function belongs to.

Coordinate

Independent Variable

Dependent Variable

Relation

a number that helps locate a point on a graph

the variable that can be chosen

the variable whose value is determined by the input value of…

a set of ordered pairs

Coordinate

a number that helps locate a point on a graph

Independent Variable

the variable that can be chosen

Write repeating decimal as fraction

Perfect squares for 13, 14, 15

Order of operations

Independent and dependent variables

Denominator is 9, 99, 999, etc.... Ex. 0.44444... = 4/9

169, 196, 225

Parenthesis... Exponents... Mult/Div... Add/Subt

-Independent determines output... -Dependent changes based on in…

Write repeating decimal as fraction

Denominator is 9, 99, 999, etc.... Ex. 0.44444... = 4/9

Perfect squares for 13, 14, 15

169, 196, 225

Solve for x: 5x = -15 ( 10 + x)

In the formula , F is measured in gram…

The population N of students in a scho…

Safety goggles function best at room t…

x = -10

meters per second squared

The student population is decreasing by 30 students/year.

/ t - 85 / < 55... --

Solve for x: 5x = -15 ( 10 + x)

x = -10

In the formula , F is measured in gram…

meters per second squared

What are two ways of solving "systems"…

What is the solution of a "system of e…

In a "system of equations" there are t…

"Rise over Run"...

substitution or elimination

a coordinate pair, (x, y)

intersect at one point.

is the way we determine "m" or the slope.

What are two ways of solving "systems"…

substitution or elimination

What is the solution of a "system of e…

a coordinate pair, (x, y)

quadrant

abscissa

ordinate

ordered pair

One of 4 regions of the coordinate plane formed by the inters…

The x-coordinate of an ordered pair.

The y-coordinate of an ordered pair.

Describes a location on the coordinate plane, with the x-coor…

quadrant

One of 4 regions of the coordinate plane formed by the inters…

abscissa

The x-coordinate of an ordered pair.

Which operation do the following words…

Which operation do the following words…

Which operation do the following words…

Which operation do the following words…

addition

subtraction

multiplication

division

Which operation do the following words…

addition

Which operation do the following words…

subtraction

10√2

Geometric, Common ratio of 1/3

9x² + 24x + 16π

f(n) = 25,000(0.85)ⁿ... $6812.26

Simplify √200

Determine whether the sequence is ... arithmetic, geometric, or…

Write an equation for the area of a ... circle with a radius of…

Write an exponential function to ... model the situation. Then f…

10√2

Simplify √200

Geometric, Common ratio of 1/3

Determine whether the sequence is ... arithmetic, geometric, or…

What is Slope Intercept form

What is Point Slope form

What are the three scenarios for writi…

How do you find the percentage of some…

Y=Mx+b

Y-y1=M(x-x1)

Scenario 1: given m and b... Scenario 2: given m and (x,y)... Scena…

Is/of=%/100

What is Slope Intercept form

Y=Mx+b

What is Point Slope form

Y-y1=M(x-x1)

Natural numbers

Whole numbers

Integers

Rational numbers

counting numbers (1, 2, 3...)

counting numbers plus zero (0, 1, 2,...)

whole numbers and their opposites (...-2, -1, 0, 1, 2,...)

any number that can be written as a fraction (integers, repea…

Natural numbers

counting numbers (1, 2, 3...)

Whole numbers

counting numbers plus zero (0, 1, 2,...)

What are Natural Numbers?

What are Whole Numbers?

What are Integers?

What are Rational Numbers?

Counting numbers. Ex: 1,2,3

Counting numbers plus zero. Ex: 0,1,2,3

Whole numbers and their opposites. Ex: -3,-2,-1,0,1,2,3

any number that can be written as a fraction (integers, repea…

What are Natural Numbers?

Counting numbers. Ex: 1,2,3

What are Whole Numbers?

Counting numbers plus zero. Ex: 0,1,2,3

What are two ways of solving "systems"…

What is the solution of a "system of e…

In a "system of equations" there are t…

"Rise over Run"...

substitution or elimination

a coordinate pair, (x, y)

intersect at one point.

is the way we determine "m" or the slope.

What are two ways of solving "systems"…

substitution or elimination

What is the solution of a "system of e…

a coordinate pair, (x, y)

system of linear equations

solution of a system of linear equations

consistent system

inconsistent system

set of two or more linear equations

an ordered pair or ordered pairs that make the equation true

A group of equations or inequalities that has at least one so…

A group of equations or inequalities that has no solution

system of linear equations

set of two or more linear equations

solution of a system of linear equations

an ordered pair or ordered pairs that make the equation true

19

"a" has to be negative

9x-8y

38

Simplify (5-1)^2 + 3 × 7 ÷ 7

The product of -3, a, and b is represented as -3ab. If the va…

Combine like terms 5(x+2y) + 6(x-3y) -2x

Simplify | -2-6 | + 5 × 3^ 2

19

Simplify (5-1)^2 + 3 × 7 ÷ 7

"a" has to be negative

The product of -3, a, and b is represented as -3ab. If the va…

Linear

Quadratic

Absolute Value

Square Root

Name the family that this function belongs to.

Name the family that this function belongs to.

Name the family that this function belongs to.

Name the family that this function belongs to.

Linear

Name the family that this function belongs to.

Quadratic

Name the family that this function belongs to.

Variable

Constant

Algebraic expression

Numerical expression

A symbol, usually a letter, used to represent a number.

A number on its own.

An expression that contains a variable, a number and at least…

An expression that contains at least one operation symbol and…

Variable

A symbol, usually a letter, used to represent a number.

Constant

A number on its own.

Evaluate the expression.... 11 + 8 x 3^ - 8

Evaluate the expression.... 2/3 ((5 + 2)^…

Evaluate the expression.... 5k^ - 7k when…

Write an equation or an inequality: ... 3…

11 + 8 x 3^ - 8... 11 + 8 x 9 - 8... 11 + 72 - 8... 83 - 8 ... 75

2/3 ((5 + 2)^ - 13)... 2/3 (7^ - 13)... 2/3 (49 - 13)... 2/3 (36)... 24

5(3^) - 7(3)... 5(9) - 7(3)... 45 - 21... 24

3(7+y)

Evaluate the expression.... 11 + 8 x 3^ - 8

11 + 8 x 3^ - 8... 11 + 8 x 9 - 8... 11 + 72 - 8... 83 - 8 ... 75

Evaluate the expression.... 2/3 ((5 + 2)^…

2/3 ((5 + 2)^ - 13)... 2/3 (7^ - 13)... 2/3 (49 - 13)... 2/3 (36)... 24

absolute value

additive inverse

algebraic expression

coefficient

distance a number is from zero on a number line

any number and its opposite that have a sum of zero

numbers, variables, and operation symbols

the number in front of a variable

absolute value

distance a number is from zero on a number line

additive inverse

any number and its opposite that have a sum of zero

Exponent

Pythagorean Theorem

Monomial

Radical

In the expression, 5x^2 + 5x + 5, the "2" is this.

In a right triangle, the square of the length of the hypotenu…

A number, variable, or product of a number and a variable (3x)

The square root symbol

Exponent

In the expression, 5x^2 + 5x + 5, the "2" is this.

Pythagorean Theorem

In a right triangle, the square of the length of the hypotenu…

lower bound

upper bound

same

opposite

When testing a possible rational zero with synthetic division…

When testing a possible rational zero with synthetic division…

If n (degree) is EVEN, the tails of the graph point in the --…

If n (degree) is ODD, the tails of the graph point in the ---…

lower bound

When testing a possible rational zero with synthetic division…

upper bound

When testing a possible rational zero with synthetic division…

parabola

quadratic equation

linear equation

absolute value equation

a U-shape made by a quadratic equation

equation with a 2 as the highest exponent (floating 2)

equation that makes a line; nothing fancy, just x and y

the distance from zero; graph is a V-shape; equation has abso…

parabola

a U-shape made by a quadratic equation

quadratic equation

equation with a 2 as the highest exponent (floating 2)

Closure Property

Commutative Property

Associative Property

Identity Property

the sum equals a real number

rearrangement, moving places. a+b=b+a

re-grouping ... a+(b+c)=(a+b)+c

keeps same value ... a+0=0

Closure Property

the sum equals a real number

Commutative Property

rearrangement, moving places. a+b=b+a

Exponent

Distributive Property

Equation

Expression

Small numbers above bigger number. The amount of times a base…

Multiplying a number on the outside of a set of parenthesis t…

Mathematical statement that includes a variable, numbers, and…

Mathematical statement that includes a variable and numbers b…

Exponent

Small numbers above bigger number. The amount of times a base…

Distributive Property

Multiplying a number on the outside of a set of parenthesis t…

System of Equations

Solution to a System

No Solution

Infinitely Many Solutions

Two equations that work together to describe a single situati…

A coordinate point that makes both equations or inequalities…

When the variables cancel out and you are left with a false s…

When the variables cancel out and you are left with a true st…

System of Equations

Two equations that work together to describe a single situati…

Solution to a System

A coordinate point that makes both equations or inequalities…

Evaluate the expression: x(y - z) - y…

Multiply: (2x - 1)(x + 5) use the Gene…

Simplify: 9(12x - 4y + 7)

Simplify: 6 + 12/4 - 5 x 2 + 4(5-7)

3(-2 - 8) - (-2) = -28

2x^2 + 9x - 5

108x - 36y + 63

-9

Evaluate the expression: x(y - z) - y…

3(-2 - 8) - (-2) = -28

Multiply: (2x - 1)(x + 5) use the Gene…

2x^2 + 9x - 5

circle

conic section

nappe

vertex

intersecting a cone with a plane that's parallel to base of c…

when a cone and a plane intersect

half of a right circular cone

point where two nappes of a right circular cone meet (on para…

circle

intersecting a cone with a plane that's parallel to base of c…

conic section

when a cone and a plane intersect

Quadratic Formula

x-coordinate of the vertex

y- coordinate of the vertex

x- intercepts

x = -b/2a

found by substituting the x coordinate of the vertex into the…

also called: roots, zeros, solutions... Where the graph crosses…

Quadratic Formula

x-coordinate of the vertex

x = -b/2a

constant

evaluate

algebraic expression

variable

a value that does not change

to find the value of an algebraic expression by substituting…

an expression that contains at least one variable

a symbol used to represent a quantity that can change

constant

a value that does not change

evaluate

to find the value of an algebraic expression by substituting…

absolute value

additive inverse

algebraic expression

coefficient

distance a number is from zero on a number line

any number and its opposite that have a sum of zero

numbers, variables, and operation symbols

the number in front of a variable

absolute value

distance a number is from zero on a number line

additive inverse

any number and its opposite that have a sum of zero

Rational Number

Domain

Slope

Like Terms

Any number that can be expressed in the form "a/b"

The set of first numbers of the ordered pair of a relation. T…

Rise over run. The ratio of the change in y to the change in x.

Terms that contain the same variables with exactly the same e…

Rational Number

Any number that can be expressed in the form "a/b"

Domain

The set of first numbers of the ordered pair of a relation. T…

additive inverse

multiplicative inverse

integers

rational numbers

(mathematics) one of a pair of numbers whose sum is zero

(mathematics) one of a pair of numbers whose product is 1: th…

Whole numbers and their opposites

any number that can be expressed as a fraction

additive inverse

(mathematics) one of a pair of numbers whose sum is zero

multiplicative inverse

(mathematics) one of a pair of numbers whose product is 1: th…

real numbers

natural numbers

whole numbers

integers

Rational numbers and irrational numbers form the set of _____…

All numbers in the set {1, 2, 3, .....} are _________________…

All numbers in the set {0, 1, 2, 3, ....} are _______________…

All numbers in the set {...-2, -1, 0, 1, 2, ...} are ________…

real numbers

Rational numbers and irrational numbers form the set of _____…

natural numbers

All numbers in the set {1, 2, 3, .....} are _________________…