Algebra I - Unit 4 Test STUDY GUIDE

Given the ordered pairs, which value for x would make the relation a function? Enter the value, not the letter. You must upload your explanation.

Mathematical Equivalence

ON

Answer explanation

REMEMBER THE X-VALUE IS THE ONE THAT CANNOT REPEAT IN ORDER FOR THE RELATION TO BE A FUNCTION. THE Y-VALUE CAN REPEAT.

Which equation is true for all the values in the table? Enter the correct equation. You must upload your own work or your own explanation.

Mathematical Equivalence

ON

Answer explanation

REMEMBER TO EVALUATE (SUBSTITUTE) THE VALUES IN THE EQUATIONS AND SEE WHICH OF THE VALUES IN THE TABLE ARE ALL TRUE FOR AN EQUATION IN THE ANSWER CHOICES.

Enter the value you got, once you solved the equation. You must upload your work.

Mathematical Equivalence

ON

Answer explanation

REMEMBER, F(X) MEANS Y=.

F(5) IS ASKING, "WHAT DOES Y=, WHEN X=5?"

SO REPLACE EVERY X IN THE EQUATION WITH THE NUMBER 5 AND SOLVE. ALWAYS PUT WHAT YOU ARE SUBSTITUTING IN PARENTHESIS. THOSE NEGATIVES CAN BE TRICKY!

What is f(5) if f(x) = 2x² + x? Select the correct answer. Remember to upload your work for this answer.

• (-3, -2, 3)

• {-3, -2}

• {-3, -2, 3}

• (-3, -2)

Answer explanation

REMEMBER: PARENTHESIS ARE USED TO IDENTIFY AN ORDERED PAIR, WHICH HAS AN X- AND Y- VALUE. BRACES ARE USED TO SHOW A SET OF THE SAME TYPE OF VALUE. IN THIS CASE, WE ARE IDENTIFYING THE RANGE, SO THE ANSWER WILL BE WRAPPED IN BRACES!

THE VALUES ARE ARE PLACES FROM LEAST TO GREATEST, JUST LIKE OUR NUMBER LINE. :)

ALSO, SINCE THEY GAVE US THE X-VALUES AND AN EQUATION, WE SIMPLY NEED TO REPLACE EACH INPUT IN THE EQUATION TO FIND THE OUTPUT! (THIS IS WHAT OUR PROJECT WAS ALL ABOUT!)

Which table most likely matches this graph? (You may have to zoom in to see the graph (sorry! *sad face*) Enter the lowercase letter of the answer. Upload your OWN written explanation.

Mathematical Equivalence

ON

Answer explanation

REMEMBER TO COMPARE THE TABLE THAT GIVES US ORDERED PAIRS (X- AND Y- VALUES) WITH THE LINE ON THE GRAPH. DOES THE LINE ON THE GRAPH GO THROUGH ALL OF THE POINTS IN ONE OF THOSE TABLES? MAKE SURE TO CHECK ALL OF THE POINTS!

Let g(x) = 6 - kx. If g(2) = -1, what is the value of g(4)?

DON'T SHUT DOWN! Yes, this is a challenging problem, but you will see them again. Take your time and chunk the hints! You can do this!

Enter your answer as "y=?" (without the quotations, of course). DO NOT PUT ANY SPACES IN YOUR ANSWER. Upload your work.

Mathematical Equivalence

OFF

Answer explanation

THIS IS ALL ABOUT SUBSTITUTING (UNIT ONE) AND SOLVING FOR A VARIABLE (UNIT TWO).

After the first hint, you get k=5/2.

Then you plug in 5/2 using the second hint and you get y=-4.

Now that you see the explanation, go back over the problem and try it again. :) YOU CAN DO IT!

Keep practicing the SAME problem, until you get a rhythm for solving it. :)

What is the range of the function shown? Enter the lowercase letter of the answer. Upload your OWN explanation.

Mathematical Equivalence

ON

Answer explanation

REMEMBER:

1) YOU ARE LOOKING FOR THE RANGE, SO YOU CAN GET RID OF ANSWER CHOICES THAT DO NOT HAVE A "Y" IN THE ANSWER.

2) LOOK AT THE REMAINING ANSWERS AND CHECK TO SEE IF THE Y-VALUES ARE PRESENT ON THE IMAGE SHOWN ON THE GRAPH.

THE SEGMENT ON THIS GRAPH HAS RANGE VALUES THAT GO FROM -5 TO 3. (FROM LEAST TO GREATEST.) THE ANSWER IS PRESENTED IN SETBUILDER NOTATION. IT'S JUST A FANCY WAY TO GIVE A COMPLETE ANSWER HERE. :)

Nate stated the following graph does NOT represent a function of x. Which pair of points could Cheyenne use to prove that Nate's statement is correct? Select all that may apply. Upload your own explanation.

• {-4, -3} and {-4, 3}

• (3, -4) and (3, 4)

• (-4, -3) and (-4, 3)

• {0, -5) and {0,5)

Answer explanation

REMEMBER THAT ORDERED PAIRS HAVE PARENTHESIS THAT INDICATE A POINT ON A GRAPH WHICH MUST HAVE AN X- AND Y- VALUE.

BRACES INDICATE A SET OF LIKE VALUES. WE WOULD NOT USE BRACES IN THIS CASE.

Which equation most likely describes the equation indicated by the table? Do not forget to upload your work.

• y = x

• y = x

• y = x + 4

• y = x + 4

Answer explanation

REMEMBER, A TABLE HAS ORDERED PAIRS (WHICH HAS AN X- AND Y- VALUE). USE THE ORDERED PAIRS TO REPLACE THE VALUES IN THE EQUATIONS. WHICH ORDERED PAIRS MAKE AN EQUATION TRUE?

THIS ONE WAS KIND OF EASY, BECAUSE EACH X-VALUE EQUALS ITS Y-VALUE. IF YOU LOOK AT THE ANSWER CHOICES, THERE IS ONLY ONE EQUATION WHERE THE Y EQUALS THE X. :)

What is the range of the function shown below? Upload your explanation.

• All real numbers

• All integers

• All whole numbers

• All natural numbers

Answer explanation

REMEMBER, THERE ARE ARROWS AT BOTH ENDS OF A LINE THAT INDICATE THERE IS A CONTINUATION IN BOTH DIRECTIONS. THAT MEANS THAT NO MATTER WHERE YOU PUT A POINT ON THIS LINE, YOU WILL BE ABLE TO GET A Y-VALUE (SINCE WE ARE LOOKING FOR RANGE VALUES). IF THIS STILL CONFUSES YOU, REWORD THE QUESTION LIKE THIS:

"Are there any limitations on how many y-values I can plot on this line?"

THE ANSWER IS "NO", BECAUSE THIS LINE GOES ON FOREVER IN BOTH DIRECTIONS.

HINT: A DIAGONAL LINE WILL ALWAYS HAVE ALL REAL NUMBERS FOR AN X- AND Y-VALUE. :)