Quiz about Algebra 1 EOC

Question 1

relation

Accepted Answer

set of ordered pairs

Answer

Solve A=P+PRT for T. You perform the opposite operation on each variable until you get the one you are solving for all by itself. Subtract P, then divide by P and R.

Answer

exponential functions > quadratic functions > linear functions

Answer

It means what number multiplies times itself to get the number under the house.

Question 2

ordered pair

Accepted Answer

the x and y coordinates of a point on the coordinate plane (x,y)

Answer

36/100 * 500 = x To solve you multiply 500 times 36/100.

Answer

moves the line up or down the y-axis.

Question 3

coordinate plane

Accepted Answer

a plane formed by 2 perpendicular lines called axes (the x-axis goes sided to side, the y-axis goes up and down).

Answer

is more than, is greater than, is larger than, shade above, shade to the right

Answer

Positive Correlation, Negative Correlation, or No Correlation.

Answer

data appears as individual points on a graph. Whatever is being graphed cannot be broken down in to smaller pieces.

Question 4

function

Accepted Answer

special relation where each x-value is paired with ONLY ONE y-value. (x-values DO NOT repeat, it passes the vertical line test)

Answer

A data point that does not fit in with the rest of the data.

Answer

2 + 3.14.... = 5.14....

Answer

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, etc. The resulting number when you multiply a number times itself. EX: 4 X 4 = 16

Question 5

Table

Accepted Answer

A way to represent ordered pairs.

Answer

A function that is not continuous. It has levels which represent the y-value for a set of x-values.

Answer

Add/Sub

Answer

the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run

Question 6

domain

Accepted Answer

set of all of the possible x-values. INPUTS

Answer

A data point that does not fit in with the rest of the data.

Answer

ADD them

Answer

3+6+9= 18 /3 = 6

Question 7

range

Accepted Answer

set of all the possible y-values. OUTPUTS

Answer

If the discriminant is positive, you will have 2 solutions or x-intercepts. If the discriminant is zero, you will have 1 solution or x-intercept. If the discriminant is negative, you will have No Solution (or really a complex solution (imaginary) in the form (a + bi)

Answer

They are the same

Answer

domain, independent variable, input

Question 8

variable

Accepted Answer

NOT A NUMBER. A letter or symbol that stands for a number.

Answer

Set up a proportion and solve.

Answer

Ex: f(x) = 3x + 4, solve for f(-2). All you do is replace the x with a (-2) and solve. 3(-2) +4 = -2

Answer

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

Question 9

independent variable

Accepted Answer

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

Answer

f(x) = g(x) meaning you can set the two equations equal to each other in order to solve for the variable. Then to find y you plug the variable back into one of the original equations and solve.

Answer

(y - y*) = m (x - x*) When given a point and the slope, plug in the m, x, and y into the equation. You can then convert it into slope-intercept form to find the graph of the line.

Question 10

dependent variable

Accepted Answer

the OUTPUT or RESULT in a situation or problem. It's the variable YOU CANNOT control. It's the Y variable. In a equation, its the variable BY ITSELF on one side of the = sign.

Answer

It means what number multiplies times itself to get the number under the house.

Answer

sqrt(20) = sqrt(4*5) = 2 sqrt (5)

Answer

at the x-intercepts. They are also known as zeros and roots.

Question 11

other names for "x"

Accepted Answer

domain, independent variable, input

Answer

slope

Answer

Slope

Answer

You have to have a common denominator.

Question 12

other names for "y"

Accepted Answer

range, dependent variable, output

Answer

A pattern in which you add a number each time.

Answer

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

Answer

the OUTPUT or RESULT in a situation or problem. It's the variable YOU CANNOT control. It's the Y variable. In a equation, its the variable BY ITSELF on one side of the = sign.

Question 13

vertical line test

Accepted Answer

a relation is a function and passes the vertical line test if when a vertical line is drawn through the graph, it touches the graph only ONE time.

Answer

Is added on to the cost of the item. To find the amount to add, multiply the cost of the item by the percent of tax.

Answer

Bubbles that represent the x-values and the y-values.

Answer

Maximum is at the highest point of a parabola.

Question 14

discreet function (scatter plot)

Accepted Answer

data appears as individual points on a graph. Whatever is being graphed cannot be broken down in to smaller pieces.

Answer

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

Answer

set of all the possible y-values. OUTPUTS

Answer

y = mx, or y = ax, or y = kx. m, a, or k is just the coefficient in front of the x. They are also the SLOPE of the direct variation line. Direct variation lines have a y-intercept ot (0, 0)

Question 15

continuous function

Accepted Answer

data appears as a smooth curve on a graph.

Answer

Counting numbers: 1, 2, 3, ......

Answer

A pattern in which you add a number each time.

Answer

The product of two rational numbers is rational

Question 16

words for "<"

Accepted Answer

is less than, is smaller than, shade below, shade to the left

Answer

the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run

Answer

domain, independent variable, input

Answer

Joint is the individual data in the middle. Marginal is the sum of the data for each row or column.

Question 17

words for ">"

Accepted Answer

is more than, is greater than, is larger than, shade above, shade to the right

Answer

You have to get one of the variables to eliminate by getting them to be the same number just one positive and one negative, so they zero out.

Answer

Find the change in y-values, then divide by the change in x-values.

Answer

moves the line up or down the y-axis.

Question 18

in y = mx + b, "b" stands for?

Accepted Answer

the y-intercept

Answer

slope

Answer

It is an equation with a <, >, < or =, > or = in the place of the =.

Answer

EX. 2/3 * 1/3 = 2/9

Question 19

changing the "m" in the slope-intercept form of the equation of a line changes what?

Accepted Answer

the steepness of the line

Answer

If you know what one variable equals, like y=35-10x, then you can plug that value in for y in the second equation,

Answer

Describes what is happening to the graph overall as the x-values change. As the x-values decrease, does the graph seem to go up or down? As the x-vales increase, does the graph seem to increase or decrease? This represents the end behavior as being positive or negative.

Answer

(rational)(irrational) = irrational

Question 20

changing the "b" in the slope-intercept form of the equation of a line changes what?

Accepted Answer

moves the line up or down the y-axis.

Answer

Find one number that you can divide into both the numerator and denominator that is the same number. Then divide them both by that number.

Answer

When talking about data sets, make sure the numbers are in order from smallest to largest, to find the RANGE you SUBTRACT the smallest from the largest.

Answer

Comparing the individual data to the whole, represented as a percentage.

Question 21

what is the linear parent function?

Accepted Answer

y = x

Answer

A data point that does not fit in with the rest of the data.

Answer

A=(P+r/n)^nt

Answer

SUBTRACT them

Question 22

f(x) = x

Accepted Answer

f(x) = x

Answer

sqrt(20) = sqrt(4*5) = 2 sqrt (5)

Answer

Factor out the number or variable that all the terms have in common.

Answer

A number between -1 and 1 that tells you if you have a strong or weak correlation. It also lets you know if it is a positive or negative correlation.

Question 23

define slope

Accepted Answer

the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run

Answer

is more than, is greater than, is larger than, shade above, shade to the right

Answer

Add/Sub

Answer

Divide the numerator by the denominator. 1/4 = 1 divided by 4 = 0.25

Question 24

how is slope important for linear equations and lines?

Accepted Answer

linear equations and lines have CONSTANT slopes. The slope is the SAME all the way up and down the line.

Answer

If the discriminant is positive, you will have 2 solutions or x-intercepts. If the discriminant is zero, you will have 1 solution or x-intercept. If the discriminant is negative, you will have No Solution (or really a complex solution (imaginary) in the form (a + bi)

Answer

slope = 0

Answer

Comparing more than one thing in a table. Use the information in a table to answer questions.

Question 25

what slope does a HORIZONTAL line have?

Accepted Answer

slope = 0

Answer

special relation where each x-value is paired with ONLY ONE y-value. (x-values DO NOT repeat, it passes the vertical line test)

Answer

36/100 * 500 = x To solve you multiply 500 times 36/100.

Answer

where the lines touch or cross

Question 26

what slope does a VERTICAL line have?

Accepted Answer

undefined slope

Answer

y = mx, or y = ax, or y = kx. m, a, or k is just the coefficient in front of the x. They are also the SLOPE of the direct variation line. Direct variation lines have a y-intercept ot (0, 0)

Answer

where the lines touch or cross

Answer

The sum of a rational number and an irrational number is irrational.

Question 27

what is the x-intercept?

Accepted Answer

the point where the graph crosses the x-axis. It has the coordinates (x, 0)

Answer

Are subtracted from the cost of the item. To find the amount to subtract, multiply the cost by the item times the percent being discounted.

Answer

y=mx +b

Answer

y=k f(x) vertical stretch if k is bigger than 1 and a vertical compression if k is less than 1.

Question 28

what is the y-intercept?

Accepted Answer

the point where the graph crosses the y-axis. It has the coordinates (0, y)

Answer

NOT A NUMBER. A letter or symbol that stands for a number.

Answer

Is another name for slope usually used in word problems.

Answer

Divide the numerator by the denominator. 1/4 = 1 divided by 4 = 0.25

Question 29

What is Direct Variation?

Accepted Answer

y = mx, or y = ax, or y = kx. m, a, or k is just the coefficient in front of the x. They are also the SLOPE of the direct variation line. Direct variation lines have a y-intercept ot (0, 0)

Answer

You may have to list the steps you performed explaining what you did, step by step. Know how to justify your solutions.

Answer

Anytime you multiply or divide by a negative number.

Answer

Add

Question 30

What is Inverse Variation?

Accepted Answer

y = 1/x. As one quantity increases, the other decreases

Answer

A linear function would be best for situation in which something is increasing at a constant rate. An exponential function is best for situations in which the rate increase over time. EX. The growth of bacteria cells in a petri dish would be exponential growth.

Answer

linear equations and lines have CONSTANT slopes. The slope is the SAME all the way up and down the line.

Answer

y=k f(x) vertical stretch if k is bigger than 1 and a vertical compression if k is less than 1.

Question 31

what is a linear inequality?

Accepted Answer

It is an equation with a <, >, < or =, > or = in the place of the =.

Answer

... ,-3, -2, -1, 0, 1, 2, 3, ......

Answer

set of all the possible y-values. OUTPUTS

Answer

4x -7(35-10x)=-23. Distribute and solve for x. Then you can plug back in to one of the original equations to solve for y.

Question 32

How do the slopes of parallel lines compare?

Accepted Answer

They are the same

Answer

(y - y*) = m (x - x*) When given a point and the slope, plug in the m, x, and y into the equation. You can then convert it into slope-intercept form to find the graph of the line.

Answer

Divide

Answer

ADD them

Question 33

How do the slopes of perdendicular lines compare?

Accepted Answer

They are opposite and fraction is flipped. Example: lines with the slopes -2 and 1/2 are perpendicular.

Answer

Add/Sub

Answer

an equation of function that has "x-squared" as its highest order exponent.

Answer

The product of two rational numbers is rational

Question 34

What is a line of best fit?

Accepted Answer

A line drawn through the points on a scatterplot to estimate the best line through the data.

Answer

You have to have a common denominator.

Answer

special relation where each x-value is paired with ONLY ONE y-value. (x-values DO NOT repeat, it passes the vertical line test)

Answer

A number between -1 and 1 that tells you if you have a strong or weak correlation. It also lets you know if it is a positive or negative correlation.

Question 35

What is a system of equations or system of inequalities?

Accepted Answer

2 or more equations or inequalities graphed on the same coordinate plane

Answer

Are subtracted from the cost of the item. To find the amount to subtract, multiply the cost by the item times the percent being discounted.

Answer

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

Answer

A line drawn through the points on a scatterplot to estimate the best line through the data.

Question 36

What is the SOLUTION of a system of equations?

Accepted Answer

where the lines touch or cross

Answer

y=k/x

Answer

n - 7 You subtract 7 from the number.

Answer

set of all the possible y-values. OUTPUTS

Question 37

How many solutions can a system with 2 equations have?

Accepted Answer

1) no solutions, if the lines are parallel and have the same slope. 2) one solution, if the lines intersect at one point. 3) infinite many solutions, if the two equations are the same and touch each other everywhere.

Answer

Once the absolute value bars are on one side of the equal sign, by itself, you work two separate problems (1) Looks exactly the same as the original equation without the absolute value symbols. (2) Is the same on one side, but flip the inequality symbol and make the number negative.

Answer

a plane formed by 2 perpendicular lines called axes (the x-axis goes sided to side, the y-axis goes up and down).

Answer

a relation is a function and passes the vertical line test if when a vertical line is drawn through the graph, it touches the graph only ONE time.

Question 38

What is a quadratic equation or function?

Accepted Answer

an equation of function that has "x-squared" as its highest order exponent.

Answer

You have to have a common denominator.

Answer

where the lines touch or cross

Answer

Set up a proportion and solve.

Question 39

Where are the solutions of a quadratic function?

Accepted Answer

at the x-intercepts. They are also known as zeros and roots.

Answer

You have to have a common denominator.

Answer

Multiply/Divide

Answer

Positive Correlation, Negative Correlation, or No Correlation.

Question 40

What are "like terms"?

Accepted Answer

mathmatical terms that have the SAME variables raised to the SAME exponents.

Answer

Work any math that you need to within the absolute value bars. Then always give the positive of that number as the answer.

Answer

There is a pattern in which you multiply or divide by a common number.

Answer

Follow the lines by answering questions until you get to your answer!

Question 41

How do you combine like terms?

Accepted Answer

Add their coefficients.

Answer

7<n

Answer

the steepness of the line

Answer

2 or more equations or inequalities graphed on the same coordinate plane

Question 42

How do you MULTIPLE exponents of like variables?

Accepted Answer

ADD them

Answer

How fast is it changing? Sometimes you find out how much each one changes, then take their average.

Answer

an equation of function that has "x-squared" as its highest order exponent.

Answer

Make sure the numbers are in order from least to greatest. Find the median, the Q1 and Q3 by finding the median again of the upper and lower sections.

Question 43

How do you DIVIDE exponents of like variables?

Accepted Answer

SUBTRACT them

Answer

To get rid of the exponent 2, you can take the square root of both sides. Remember the plus or minus symbol, which can give you two answers.

Answer

Are subtracted from the cost of the item. To find the amount to subtract, multiply the cost by the item times the percent being discounted.

Answer

Radical is the square root symbol.

Question 44

What is the "rate of change" on a graph?

Accepted Answer

Slope

Answer

set of all the possible y-values. OUTPUTS

Answer

set of all of the possible x-values. INPUTS

Answer

Round to the nearest TENTH means you keep ONE decimal place EX 0.5648 rounds to 0.6 The 6 behind the five tells the 5 to go up. Round to the nearest HUNDRETH means to keep TWO decimal places EX 0.56 The 4 tells the 6 to stay the same.

Question 45

Mean (Average)

Accepted Answer

Add up all the data points, then divide by however many data points there were. Ex. 3,6,9

Answer

Follow the lines by answering questions until you get to your answer!

Answer

Divide

Answer

y = 1/x. As one quantity increases, the other decreases

Question 46

3+6+9= 18 /3 = 6

Accepted Answer

3+6+9= 18 /3 = 6

Answer

When the data is not evenly distributed.

Answer

A=(P+r/n)^nt

Answer

n - 7 You subtract 7 from the number.

Question 47

Median

Accepted Answer

When the data is put in order from smallest to largest, it is the number in the middle. If there are two numbers in the middle, you add them together then divide by 2. (You take their average)

Answer

Comparing more than one thing in a table. Use the information in a table to answer questions.

Answer

(x )(x )=0 Find the two numbers that multiply to get you c, AND they add/sub to get you b. If asked to SOLVE by factoring, then set each factor equal to zero and solve.

Answer

These are the same. They can be interchanged with one another. f(x) simply lets you know the equation is a function. Can also be written with other variables like g(x), p(x), etc.

Question 48

Mode

Accepted Answer

The number that shows up the MOST

Answer

ADD them

Answer

t is the time in years.

Answer

Parenthesis

Question 49

Range

Accepted Answer

When talking about data sets, make sure the numbers are in order from smallest to largest, to find the RANGE you SUBTRACT the smallest from the largest.

Answer

an equation of function that has "x-squared" as its highest order exponent.

Answer

Is added on to the cost of the item. To find the amount to add, multiply the cost of the item by the percent of tax.

Answer

3+6+9= 18 /3 = 6

Question 50

Integer

Accepted Answer

A whole number, both positive and negative numbers, including zero.

Answer

n + 3 Add 3 to the number

Answer

2 or more equations or inequalities graphed on the same coordinate plane

Answer

Add/Sub

Question 51

... ,-3, -2, -1, 0, 1, 2, 3, ......

Accepted Answer

... ,-3, -2, -1, 0, 1, 2, 3, ......

Answer

When the data is not evenly distributed.

Answer

When talking about data sets, make sure the numbers are in order from smallest to largest, to find the RANGE you SUBTRACT the smallest from the largest.

Answer

Is added on to the cost of the item. To find the amount to add, multiply the cost of the item by the percent of tax.

Question 52

Whole numbers

Accepted Answer

Start with 0, 1, 2, ......

Answer

y1/x1 = y2/x2

Answer

(y - y*) = m (x - x*) When given a point and the slope, plug in the m, x, and y into the equation. You can then convert it into slope-intercept form to find the graph of the line.

Answer

special relation where each x-value is paired with ONLY ONE y-value. (x-values DO NOT repeat, it passes the vertical line test)

Question 53

Natural numbers

Accepted Answer

Counting numbers: 1, 2, 3, ......

Answer

If the discriminant is positive, you will have 2 solutions or x-intercepts. If the discriminant is zero, you will have 1 solution or x-intercept. If the discriminant is negative, you will have No Solution (or really a complex solution (imaginary) in the form (a + bi)

Answer

The number that shows up the MOST

Answer

and is still an irrational number.

Question 54

How do you Add and Subtract FRACTIONS?

Accepted Answer

You have to have a common denominator.

Answer

Parenthesis

Answer

When two fractions are set EQUAL to one another. This is the only times you Cross multiply!

Answer

3>n

Question 55

How do you multiply FRACTIONS?

Accepted Answer

Cancel or reduce if possible, then multiply straight across. Some people like to multiply straight across and then reduce. Either way, if you can reduce, you MUST REDUCE.

Answer

y = x

Answer

Is added on to the cost of the item. To find the amount to add, multiply the cost of the item by the percent of tax.

Answer

the point where the graph crosses the x-axis. It has the coordinates (x, 0)

Question 56

How do you Divide FRACTIONS?

Accepted Answer

Keep, Change, Flip! Then multiply fractions!

Answer

0.25 * x = 150. To solve you divide by 0.25.

Answer

Slope

Answer

undefined slope

Question 57

How do you Reduce FRACTIONS?

Accepted Answer

Find one number that you can divide into both the numerator and denominator that is the same number. Then divide them both by that number.

Answer

There is a pattern in which you multiply or divide by a common number.

Answer

y = 1/x. As one quantity increases, the other decreases

Answer

4x - 7y = -23 becomes

Question 58

Maximum or Minimum

Accepted Answer

Maximum is at the highest point of a parabola.

Answer

1) no solutions, if the lines are parallel and have the same slope. 2) one solution, if the lines intersect at one point. 3) infinite many solutions, if the two equations are the same and touch each other everywhere.

Answer

36/100 * 500 = x To solve you multiply 500 times 36/100.

Answer

Counting numbers: 1, 2, 3, ......

Question 59

Minimum is the lowest point.

Accepted Answer

Minimum is the lowest point.

Answer

undefined slope

Answer

What number multiplies times itself 3 times to get the number under the house?

Answer

(y - y*) = m (x - x*) When given a point and the slope, plug in the m, x, and y into the equation. You can then convert it into slope-intercept form to find the graph of the line.

Question 60

The Square Root Property to solve Quadratics

Accepted Answer

To get rid of the exponent 2, you can take the square root of both sides. Remember the plus or minus symbol, which can give you two answers.

Answer

y=k/x

Answer

EX: 1/5 + 2/5 = 3/5

Answer

Minimum is the lowest point.

Question 61

Solid or Dotted Line? Open or Closed Circle?

Accepted Answer

If it has the line under it (or equal to) it will be a closed circle or solid line.

Answer

If you know what one variable equals, like y=35-10x, then you can plug that value in for y in the second equation,

Answer

Find one number that you can divide into both the numerator and denominator that is the same number. Then divide them both by that number.

Answer

(2)(3.14) = 6.28....

Question 62

How to rearrange variables to solve for a specific variable.

Accepted Answer

Solve A=P+PRT for T. You perform the opposite operation on each variable until you get the one you are solving for all by itself. Subtract P, then divide by P and R.

Answer

Keep, Change, Flip! Then multiply fractions!

Answer

the OUTPUT or RESULT in a situation or problem. It's the variable YOU CANNOT control. It's the Y variable. In a equation, its the variable BY ITSELF on one side of the = sign.

Answer

It means what number multiplies times itself to get the number under the house.

Question 63

When do you flip an inequality symbol?

Accepted Answer

Anytime you multiply or divide by a negative number.

Answer

undefined slope

Answer

Ex: f(x) = 3x + 4, solve for f(-2). All you do is replace the x with a (-2) and solve. 3(-2) +4 = -2

Answer

Ax + By = C NO fractions, NO decimals, A has to be positive!

Question 64

Explain each step in solving an equation.

Accepted Answer

You may have to list the steps you performed explaining what you did, step by step. Know how to justify your solutions.

Answer

the steepness of the line

Answer

2 or more equations or inequalities graphed on the same coordinate plane

Answer

The way numbers are grouped is different, but the result is the same.

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