# Harcourt On Core Mathematics - Algebra 1: Online Textbook Help Final Exam

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!

#### Question 1 1. During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the range number of medals won during these Olympic Games.

####
Question 2
2.
At the grocery store, you buy three apples and five oranges for a total of $6.50. Your friend buys seven apples and two oranges for a total of $5.50. If *a* represents the cost of one apple, and *o* represents the cost of one orange, which of the following systems of linear equations can be used to find the cost of one apple and the cost of one orange?

####
Question 3
3.
Let *x* = 5 and *y* = 4, and evaluate the expression shown using substitution.

#### Question 4 4. If a student got a 75, which bar should increase?

####
Question 5
5.
What is the domain of the exponential function *f*(*x*) = *a**b* *x*?

####
Question 6
6.
Solve the following system of linear equations by graphing:

*y* - 2*x* = 1

2*y*-2*x* = -6

*y*- 2

*x*= 1

*y*-2

*x*= -6

#### Question 7 7. Find the domain of f(x)/g(x), if:

####
Question 8
8.
Evaluate the following piecewise function for x = 2 and x = -7.

f(x) = 2x + 3, x ≤ -5

f(x) = x³, x > -5

#### Question 9 9. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

#### Question 10 10. Consider the function that relates a shirt size to the price of the shirt, where the input is the size and the output is the cost. A small shirt costs $15, a medium shirt cost $17, and a large shirt cost $19. Represent this function using ordered pairs.

#### Question 11 11. What do we call two sets of variables that can change and are compared to find relationships?

#### Question 12 12. What is the equation of the graph below?

#### Question 13 13. If f(x) = 2x - 5 and g(x) = x^2 + 1, find f(f(x)).

#### Question 14 14. What is the quadratic modeling function for a marble that is thrown up into the air with an upwards velocity of 10 meters per second from a height of 2 meters?

#### Question 15 15. Which of the following is not a quadratic function?

#### Harcourt On Core Mathematics - Algebra 1: Online Textbook Help Final Free Practice Test Instructions

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!