SOL Review After Graphing

1. Identify the property that justifies the work between Step 2 and Step 3.

Distributive
Property / 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)}