Download What kind of function is this?

Name: ___________________________ Per: _______ Date: ______________
State Test Review Day 10:
Linear Functions and Equations
1) Which ordered pair is the solution to the
systems of equations.
y = -2x + 8
y=x–4
a)
b)
c)
d)
a) 1
b) -1
8
c) 
3
d) -2
(0, 4)
(4, 0)
(-4, 0)
(5, -2)
3) Which equation shows the rule for this
table?
a)
b)
c)
d)
2) What is the slope of the line containing the
points (-9, 2) and (3, 14)?
y=x+2
y = 2x
y = 2x - 2
y=x+1
x
y
0
-2
1
0
2
2
3
4
4) Which equation represents this line?
a)
b)
c)
d)
y = 2x + 1
y = ½x + 2
y = -2x + 1
y = - ½x + 2
5) Which ordered pair is not a point on the
graph of…
1
y = - x + 5?
3
6) Which equation shows the rule for this
table?
a)
b)
c)
d)
b) y = 2x + 10
(3, 4)
(0, 7)
(-6, 7)
(-3, 6)
a) y = 10x + 3
c) y = 5x + 3
d) y = x + 3
7) What is the slope of the line that passes
through (0,3) and (2, 0)?
x
y
4
2
23
13
0
-2
3
-7
8) Which ordered pair is the solution to the
system of equations below?
y = 3x + 5
y = 7x + 29
a)
c)

2
3
2
3
b)
d)

3
2
3
2
a) (-13, -6)
b) (-6, -13)
c) (13, 6)
d)
(6, 13)
9) What is the slope of the line shown in the
accompanying diagram?
4
3
3
c)
4
a)
3
4
4
d) 
3
b) 
10) The chart below shows a pattern between
x and y. Find the product of the two missing
numbers.
a) 45
b) 35
c) 350
rocks. Each week, she found the same number of
rocks to add to her collection. The table below
shows the total number of rocks in her collection
each week.
How many rocks will Megan have in her collection in
Week 5?
y
11
15
19
51
d) 10
11) Megan started her rock collection with 19
x
0
1
2
6
12) Which ordered pair is a point on the graph
of y = -4x + 1 ?
a) (0, -3)
b) (1, -5)
c) (2, -7)
d) (-3, -11)
a)
b)
c)
d)
42
43
44
45
13) Which equation expresses the relationship 14) What are the slope and y-intercept for the
between x and y, as shown in the accompanying graph of y – 7x = 10?
table?
a) y = x + 3
b) y = 2x +3
c) y = 3x + 2
d) y = x + 2
a)
m = 10; b = 7
b)
m = 10; b = -7
c)
m = -7; b = 10
d)
m = 7; b = 10
15) The chart below shows a pattern between
x and y. Find the product of the two missing
numbers.
a. 45
b. 35
c. 350
d. 10
x
0
1
2
6
y
11
15
19
16)
The accompanying graph represents the
yearly cost of playing 0 to 5 games of golf at the
Shady brook Golf Course. What is the total cost of
joining the club and playing 10 games during the
year?
a)
300
b) 330
51
c)
360
d) 390
17) Use the graph to find the missing y coordinate
in this ordered pair: (2, _ ).
y
a) –1
b) 1
c)
x
2
d) 3
19) Which graph represents a linear function?
18) Which ordered pair represents the solution
of the system of equations graphed below?
a)
(0, 2)
b)
(3, 0)
c)
(2, 3)
d)
(3, 2)
20) Which type of graph is shown in the diagram
below?
a) absolute value
b) linear
c) exponential
d) quadratic
Extended Response Questions
1) Write a rule for each table. Then identify it as Linear or Quadratic.
Rule:_____________
x
-8
-4
0
4
Rule:_____________
y
-2
0
2
4
x
-3
-1
0
1
3
y
9
1
0
1
9
Rule:_____________
x
3
4
8
11
y
11
18
66
123
2) Two health clubs offer different membership plans. The graph below represents the
total cost of belonging to Club A and Club B for one year.
Part A
What is the monthly charge for Club A?
Part B
What is the monthly charge for Club B?
Write the equation of the line graphed below.
3)
Equation: ________________
4)
Equation: ______________
Write each equation in the form y = mx + b, then graph it.
5)
y+x= 5
6)
y  1 = 3x
Find the solution of each system of equations.
7) y = ½ x + 2 and
y=x+1
Solution: ____________
8)
y = -2x + 2
and
y = 3x + 2
Solution: ____________
9)
Make a table of values and graph
y = x2 - 4
10) A toy rocket was launched into the air. The function h = 50t – 5t2 models this situation
where h = height and t = time in seconds. Make a table of values and a graph for t = 0 to 11
seconds.
t
0
1
2
3
4
5
6
7
8
9
10
11
50t – 5t2
h
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What kind of function is this? __________
After how many seconds does the rocket reach its highest point?
After how many seconds does the rocket hit the ground?
______________
____________________
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