Name:______________________________________________________
Quarter 2 Exam – STUDY GUIDE
Formulas: y = mx + b
Algebra 1B
y – y1 = m(x – x1)
𝒚 −𝒚
m = 𝒙𝟐 −𝒙𝟏
𝟐
𝟏
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.
A. Function
B. Not a Function
A. Function
B. Not a Function
____5.
_____6. (-2, 0), (-1, 1), (0, 2), (1, 3), (2, 4)
A. Function
B. Not a Function
A.
B.
Function
Not a Function
____7.
Input, x
Output, y
A.
B.
-6
10
-1
9
4
8
8
6
Function
Not a Function
#8 – 10: Determine if each represent a LINEAR or NONLINEAR Function.
_____8.
____9.
A. Linear Function
B. Nonlinear Function
_____11.
A. Linear Function
B. Nonlinear Function
_____10.
A. Linear Function
B. Nonlinear Function
Evaluate the function, f(x) = 2.5x + 7, for when x = –3
A. –0.5
B. 0.5
C. 14.5
D. –0.17
Evaluate the function, h(x) = –5 + 5x + 7, for when x = 4
_____12.
A.
B.
C.
D.
5.5
7
18
22
4
The given function is 𝑓(𝑥) = 5 𝑥 − 9. Find the value of x that makes f(x) = 3.
_____13.
A.
3
5
B. 15
C.
48
5
D. 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?
A.
B.
C.
D.
1 apple and 11 oranges
7 apples and 7 oranges
11 apples and 1 orange
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.
a.
What is the truck rental cost when you drive 80 miles?
b.
How many miles did you drive when your cost is $35.51?
_____16. Find the slope of the line.
A.
B.
C.
D.
Undefined
Zero
1
–1
_____17. Find the slope of the line.
A.
B.
C.
D.
Undefined
Zero
1
–1
_____18. Find the slope of the line.
A. 4
B. –4
C.
1
4
1
D. − 4
_____ 19. Find the slope of the line that goes through the points (5, -2) and (9, 4)
A.
B.
C.
D.
2
3
3
2
1
2
2
#20 – 22: Short Answer. Find the slope and y-intercept of each linear equation below.
20.
y = 6x – 8
21.
y – 1 = –5x
22.
5x – y = –10
_____23. Write the equation of the line with a slope of –3 and y-intercept of (0, –6).
A.
B.
C.
D.
y = -6x + 3
y = -3x – 6
y = -6x – 3
y = -3x + 6
_____24. Write the equation of the line, in slope-intercept form, of the line that goes through the point
3
(16, -4) and has a slope of − 4 .
3
A. 𝑦 = − 4 𝑥 + 13
3
B. 𝑦 = − 4 𝑥 + 16
3
C. 𝑦 = − 4 𝑥 − 16
3
D. 𝑦 = − 4 𝑥 + 8
_____25. Write a linear equation, in slope-intercept form, that goes through the points
(2, 1) and (3, 6).
A.
B.
C.
D.
y = 5x – 9
1
y = 5 x + 0.6
y = 5x – 11
1
y=5x+2
_____26. Write a linear equation, in slope-intercept form, of the line graphed below.
1
A. y = 2 x + 2
B. y = 2x + 2
1
C. y = 2 x – 4
D. 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.
2
29.
Graph the linear equation y = − 5 𝑥 + 1
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.