SOL Review After Graphing
1. Identify the property that justifies the work between Step 2 and Step 3.
DistributiveProperty / Commutative Property
of Multiplication
Division Property of Equality / Identity Property
of Multiplication
Symmetric Property / Addition Property
of Equality
Step 1: 5y – 15 = 4x
Step 2: 5y = 4x + 15
Step 3: y= 45x+3
2. A function f is described.
· f(x) = (x – 2)2 + 3
· Let the domain of f be {-2, 0, 2}. Find the range.
A. {-1, 1, 3} B. {3, 4} C. {-13, -1, 3} D. {19, 7, 3}
3. A function is represented by this rule.
Three more than the product of two and a number x is y.
Plot three points on the grid that are represented by this rule.
Each point must have coordinates that are integers.
4. Let f(x) = x + 3x – 4. Find the root of f(x).
A. -4 B. 1 C. 3 D. 4
5. Select the two equations that represent the linear function graphed below.
6. What is the slope of the line that contains (4, -1) and (3, 3).
A. -4 B. -12 C. -14 D. 2
7. Draw a line with undefined slope.
8. Which of the following represents the graph of a function?
A. B. C. D.
9. What is the solution to 3(x – 5) 12?
A. x 1 B. x -1 C. x 173 D. x 9
10. Which line has y – intercept -3 and x – intercept 2?
A. B. C. D.
11. Using the function machine from the diagram, what is f(10)?
A. 5 B. 7.5 C. 15 D. 25
12. Pauline sells cookie baskets. She charges $5 for the basket plus $2 per cookie.
If one filled basket sells for $31, how many cookies are in it?
Identify the equation that represents
this situation. Then, determine how
many cookies are needed.
13. A school play costs $1200 to produce. If tickets sold for $5 each, the profit p made
on the play by selling x tickets is given by the equation show:
P = 5x – 1,200.
What is the slope of the line representing the equation?
A. -1,200 B. -240 C. 1 D. 5
14. Find the domain the function graphed at right.
A. -2 x 6 B. -5 x 3
C. -2 y 6 D. -5 y 3
15. What is the slope of the line represented by the equation -2y = x – 1?
Write your answer in simplest form.
16. Which equation best describes this graph?
a. x = 3y
b. x = -3
c. y = -3x
d. y = -3
17. What is the domain of the function show?
a. {All real numbers greater than zero}
b. {All real numbers}
c. {All real numbers less than -2}
d. {All real numbers greater than -2}
18. Which set of ordered pairs is not a function?
a. {(-2, 3), (4, 1), (2, 1), (1, 5)} b. {(1, 4), (2, 3), (3, 2), (4, 3)}
c. {(2, 3), (3, 2), (4, 4), (5, 2)} d. {(-2, 3), (1, 4), (2, 3), (1, 5)}