Quarter 2 Exam STUDY Guideformulas: Y = Mx + B Y Y1 = M(X X1)

Quarter 2 Exam STUDY Guideformulas: Y = Mx + B Y Y1 = M(X X1)

Name:______Algebra 1B

Quarter 2 Exam – STUDY GUIDEFormulas: y = mx + b y – y1 = m(x – x1)

m =

Identify the choice that best completes the statement or best answers the question.

_____1. Find the domain and range of the function represented by the graph.

_____2. Find the domain and range of the function represented by the graph.

#3 – 7: Identify if each represents a Function or Not. Choose the best answer choice.

Remember: To be a function, each input (x) can only have one output (y).

____3. _____ 4.

  1. Function A. Function
  2. Not a Function B. Not a Function

____5. _____6. (-2, 0), (-1, 1), (0, 2), (1, 3), (2, 4)

  1. Function
  2. Not a Function
  1. Function
  2. Not a Function

____7.

Input, x / -6 / -1 / 4 / 8
Output, y / 10 / 9 / 8 / 6
  1. Function
  2. Not a Function

#8 – 10: Determine if each represent a LINEAR or NONLINEAR Function.

_____8. ____9. _____10.

A. Linear Function A. Linear FunctionA. Linear Function

B. Nonlinear Function B. Nonlinear FunctionB. Nonlinear Function

_____11.Evaluate the function, f(x) = 2.5x + 7, for when x = –3

  1. –0.5
  2. 0.5
  3. 14.5
  4. –0.17

_____12. Evaluate the function, h(x) = –5 + 5x + 7, for when x = 4

  1. 5.5
  2. 7
  3. 18
  4. 22

_____13. The given function is. Find the value of x that makes f(x) = 3.

  1. 15
  1. 30

_____14. You spend $3.50 on fruit. Apples cost $0.20 each while oranges cost $0.30 each. The equation 0.20x + 0.30y = 3.50 models the situation, where x is the number of apples and y is the number of oranges. Which of the following is NOT a possible solution in the context of the problem?

  1. 1 apple and 11 oranges
  2. 7 apples and 7 oranges
  3. 11 apples and 1 orange
  4. 4 apples and 9 oranges

15. Short Answer – Show your work.

The function c(x) = 0.47x + 20 represents the cost (in dollars) of a one-day truck rental when the truck is driven x miles.

  1. What is the truck rental cost when you drive 80 miles?
  1. How many miles did you drive when your cost is $35.51?

_____16. Find the slope of the line.

  1. Undefined
  2. Zero
  3. 1
  4. –1

_____17. Find the slope of the line.

  1. Undefined
  2. Zero
  3. 1
  4. –1

_____18. Find the slope of the line.

  1. 4
  2. –4

_____ 19. Find the slope of the line that goes through the points (5, -2) and (9, 4)

  1. 2

#20 – 22: Short Answer. Find the slope and y-intercept of each linear equation below.

20.y = 6x – 8 21. y – 1 = –5x22.5x – y = –10

_____23. Write the equation of the line with a slope of –3 and y-intercept of (0, –6).

  1. y = -6x + 3
  2. y = -3x – 6
  3. y = -6x – 3
  4. y = -3x + 6

_____24. Write the equation of the line, in slope-intercept form, of the line that goes through the point (16, -4) and has a slope of .

_____25. Write a linear equation, in slope-intercept form, that goes through the points

(2, 1) and (3, 6).

  1. y = 5x – 9
  2. y = x + 0.6
  3. y = 5x – 11
  4. y = x + 2

_____26. Write a linear equation, in slope-intercept form, of the line graphed below.

  1. y = x + 2
  1. y = 2x + 2
  1. y = x – 4
  1. y = 2x – 4

27. Short Answer – Show Work

An algebra teacher is ordering new text books for the class. The shipping cost y (in dollars) depends on the number of books x that are ordered, as shown in the table. Write a linear equation for this data.

Number of books / 4 / 6 / 8 / 10
Shipping Cost, $ / 34 / 38 / 42 / 46

28. Find the x-intercept and y-intercept of the equation 2x + 3y = 12.

Then graph the equation using the intercepts.

29.Graph the linear equation y =

30. Graph the linear equation y = 7

31.Graph the linear function f(x) = 3x – 5

#32 – 34: Tell whether x and y show a Positive, Negative, or No Correlation.

32.33.34.

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