# FTCE: Equations and Inequalities Chapter Exam

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### Page 1

#### Question 1 1. What is the slope intercept formula?

#### Question 2 2. The _____ refers to the consistent change between x and y in a formula.

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Question 3
3.
A basketball player shoots a free throw that ends up being an air ball (completely falls short of the basket), and the ball's height off the ground can be modeled by the quadratic function *y* = -3*x*2 + 12*x* + 4, where *x* is the number of seconds that have passed since the ball left the player's hands. How long will it take for the ball to hit the floor?

#### Question 4 4. Which of the following is a quadratic equation?

#### Question 5 5. What is the highest exponent in a quadratic model and in a linear model?

### Page 2

#### Question 6 6. What can we say about the exponent in an exponential model?

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Question 7
7.
What is the correct equation for the following scenario?

Alex wants to figure out how much money she will make at the end of the week. She is making $12.50 an hour plus a $20 bonus.

#### Question 8 8. The length and steepness of a line that shows the rate of change between two values is called the _____.

#### Question 9 9. Solve: x + 9 > 0

#### Question 10 10. Solve: 5x - 8 ≤ 6 - 2x

### Page 3

#### Question 11 11. For the linear function h=2t-1, what is h when t=4?

#### Question 12 12. A linear function must graph to a _____ line.

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Question 13
13.
The intersection points of the graphs of the equations *y*1 = *x*2 + *x* - 12 and *y*2 = 0 are (3,0) and (-4,0). What are the solutions to the quadratic equation *x*2 + *x* - 12 = 0?

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Question 14
14.
If the graphs of *y*1 = *x*2 - 9*x* and *y*2 = -8 intersect at the points (8,-8) and (1,-8), which of the following statements are true?

#### Question 15 15. Ten less than half a number is 76. What is the number?

### Page 4

#### Question 16 16. A store is offering 15% off the price of sunglasses if you buy two pair. If the total cost of two pair, including the discount, is $30.60, then what is the original price of one pair?

#### Question 17 17. Solve for x: x/2 + 1/6 = x - 1/3

#### Question 18 18. Solve for x: x - 10 = 3

#### Question 19 19. For linear inequalities, when does the inequality symbol flip?

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Question 20
20.
In a linear inequality, what kind of line is used when graphing the inequality 3*y*<2*x*-7?

### Page 5

#### Question 21 21. A quadratic equation will have up to _____ solutions.

#### Question 22 22. What is the degree of a quadratic equation?

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Question 23
23.
Which of the following functions will have the bottom portion of the graph shaded?

A: y < x^2

B: y ≤ x^2

C: y > x^2

D: y ≥ x^2

#### Question 24 24. Which part of the graph is shaded for the quadratic inequality y < x^2 - 4x + 5?

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Question 25
25.
What information is needed for this quadratic function model?

A: initial velocity

B: initial height

C: meters or feet

D: time

E: A, B, and C

### Page 6

#### Question 26 26. Which of the following is not a quadratic function?

#### Question 27 27. In the equation y = 4x +15, what does 15 represent?

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Question 28
28.
According to the quadratic formula, which of the following are the solutions of the equation *ax*2 + *bx* + *c* = 0?

#### Question 29 29. Suppose you just got married, and you are about to toss the bouquet. You throw it up in the air, and it goes higher and higher until it hits a peak, then falls into the eager hands below. Which of the following models would be best to use to model the height of the bouquet with respect to the amount of time it's in the air?

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Question 30
30.
Which scenario best fits the linear equation?

y=-2x + 5

#### FTCE: Equations and Inequalities Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!