Algebra 1A Study Guide
Name:
1.
Date:
The population growth of Boomtown is shown in the accompanying graph.
If the same pattern of population growth continues, what will the population of Boomtown
be in the year 2020?
A.
2.
20,000
B.
32,000
C.
40,000
What is the slope of the line whose equation is y = 2x
A.
1
2
B.
2
C.
5
page 1
D. 64,000
10?
D.
10
3.
4.
What is the equation of the line in the accompanying graph?
A.
2y = x
C.
y = 2x
2
y = 12 x + 1
D. y = 2x
2
2
B.
2
C.
2
B.
2
C.
2x = 4?
4
The y-intercept of the graph of the equation y = 2x
A.
6.
B.
What is the y-intercept of the line whose equation is y
A.
5.
2
D. 4
3 is
3
D.
3
Find the slope of the line that passes through the points (2; 1) and ( 7; 4).
page 2
Algebra 1A Study Guide
7.
8.
Which is an equation for line ` in the accompanying diagram?
A.
y = 2x + 2
C.
y = 2x
4
y = 2x
4
D. y = 2x + 2
What are the coordinates of the point where the graph of the equation x + 2y = 8 crosses the
y-axis?
A.
9.
B.
(0; 8)
B.
(8; 0)
C.
(0; 4)
D. (4; 0)
Which equation could represent the relationship between the x and y values shown in the
accompanying table?
x
y
0
2
1
2
3
4
A.
3
6
11
18
y=x+2
B.
y = x2 + 2
C.
y = x2
page 3
D. y = 2x
Algebra 1A Study Guide
10.
11.
A bug travels up a tree, from the ground, over a 30-second interval. It travels fast at rst
and then slows down. It stops for 10 seconds, then proceeds slowly, speeding up as it goes.
Which sketch best illustrates the bug's distance (d) from the ground over the 30-second
interval (t)?
A.
B.
C.
D.
Which graph represents an exponential equation?
A.
B.
C.
D.
page 4
Algebra 1A Study Guide
12.
What is the slope of the line whose equation is 5y = 2x + 10?
A.
13.
B.
2
C.
2
5
D. 5
In the diagram below, what is the slope of the line passing through points A and B?
A.
14.
5
2
2
B.
2
C.
1
2
D.
1
2
The graph of the equation x + 3y = 6 intersects the y-axis at the point whose coordinates are
A.
(0; 2)
B.
(0; 6)
C.
(0; 18)
page 5
D. (6; 0)
Algebra 1A Study Guide
15.
What is the slope of a line that passes through points ( 4; 2) and (6; 8)?
A.
16.
3
5
C.
5
3
D.
5
3
Which equation expresses the relationship between x and y, as shown in the accompanying
table?
x
0
y
A.
17.
3
5
B.
2
1
2
5
8
3
4
11 14
y=x+3
B.
y = 2x + 3
C.
y = 3x + 2
D. y = x + 2
Which linear equation represents the data in the accompanying table?
c
d
0
20.00
2
23.00
1
3
21.50
24.50
A.
d = 1:50c
B.
d = 1:50c + 20:00
C.
d = 20:00c + 1:50
D. d = 21:50c
page 6
Algebra 1A Study Guide
18.
19.
Super
living
and y
living
Painters charges $1.00 per square foot plus an additional fee of $25.00 to paint a
room. If x represents the area of the walls of Francesca's living room, in square feet,
represents the cost, in dollars, which graph best represents the cost of painting her
room?
A.
B.
C.
D.
The graph of the line passing through the points (6; 7) and (4; 2) has a slope of
A.
2
5
B.
5
2
C.
5
2
page 7
D.
1
2
Algebra 1A Study Guide
20.
Write the equation for the line shown in the accompanying graph. Explain your answer.
21.
What is the slope of the line determined by the points (5; 3) and ( 9; 6)?
A.
3
14
B.
3
14
C.
14
3
page 8
D.
19
4
Algebra 1A Study Guide
22.
In a given linear equation, the value of the independent variable decreases at a constant rate
while the value of the dependent variable increases at a constant rate. The slope of this line
is
A.
23.
positive
negative
C.
zero
D. unde ned
If x and y are de ned as indicated by the accompanying table, which equation correctly
represents the relationship between x and y?
x
y
2
1
3
5
7
A.
24.
B.
3
7
11
y=x+2
B.
y = 2x + 2
C.
y = 2x + 3
Which diagram represents the graph of the equation y = 2x
A.
B.
C.
D.
page 9
D. y = 2x
3
1?
Algebra 1A Study Guide