Algebra 1
Unit 4 Review
Algebra 1 – Unit 4 mid-unit Review
1) Match each equation with line A, B, C, or D from the graph.
___ y = 7
y
A
___ x = 7
5
___ y = 3x – 2
___ y + 4 =
−1
(x –
3
6)
-5
x
5
B
-5
D
C
Algebra 1 – Unit 4 mid-unit Review
ANSWER
1) Match each equation with line A, B, C, or D from the graph.
A y=7
___
y
A
C x=7
___
5
D y = 3x – 2
___
B y + 4 = −1(x – 6)
___
-5
x
5
3
B
-5
D
C
Algebra 1 – Unit 4 mid-unit Review
2) List a coordinate pair for each equation in the tables below.
y=7
x
y
A
5
x=7
x
y = 3x – 2
y+4=
y
y
x
−1
(x –
3
-5
y
6)
x
5
B
-5
x
y
D
C
Algebra 1 – Unit 4 mid-unit Review
ANSWER
2) List a coordinate pair for each equation in the tables below.
y=7
x
y
A
5
x=7
x
y = 3x – 2
y+4=
y
y
x
−1
(x –
3
-5
y
6)
x
5
B
-5
x
y
D
C
Algebra 1 – Unit 4 mid-unit Review
3) What are the slopes and y-intercepts of each line?
y=7
slope =
y-int =
y
A
5
x=7
slope =
y-int =
y = 3x – 2
slope =
y-int =
−1
y + 4 = (x – 6)
3
slope =
y-int =
-5
x
5
B
-5
D
C
Algebra 1 – Unit 4 mid-unit Review
ANSWER
3) What are the slopes and y-intercepts of each line?
y=7
slope = 0
y-int = 7 or (0,7)
y
A
5
x=7
slope = undefined or 
y-int = doesn’t have one
y = 3x – 2
slope = 3
y-int = -2 or (0,-2)
−1
y + 4 = (x – 6)
3
−𝟏
slope =
𝟑
y-int = -2 or (0,-2)
-5
x
5
B
-5
D
C
Algebra 1 – Unit 4 mid-unit Review
4) a) Write an equation of a
line parallel to line B.
y
A
5
b) Write an equation of a
line perpendicular to
line D.
-5
x
5
B
-5
D
C
Algebra 1 – Unit 4 mid-unit Review
ANSWER
4) a) Write an equation of a
line parallel to line B.
y
A
y=
−𝟏
x
𝟑
+b
where b ≠ -2
b) Write an equation of a
line perpendicular to
line D.
y=
−𝟏
x
𝟑
+b
5
-5
x
5
B
-5
D
C
Algebra 1 – Unit 4 mid-unit Review
5) The points (-2,-1) and (2,-3) lie on a line.
Write an equation of this line in point-slope form.
Algebra 1 – Unit 4 mid-unit Review
ANSWER
5) The points (-2,-1) and (2,-3) lie on a line.
Write an equation of this line in point-slope form.
y+1=
−𝟏
(x
𝟐
+ 2)
or
y+3=
−𝟏
(x
𝟐
– 2)
Algebra 1 – Unit 4 mid-unit Review
6) The points (-2,-1) and (2,-3) lie on a line.
Write an equation of this line in slope-intercept form.
Algebra 1 – Unit 4 mid-unit Review
ANSWER
6) The points (-2,-1) and (2,-3) lie on a line.
Write an equation of this line in slope-intercept form.
y=
−𝟏
x
𝟐
–2
Algebra 1 – Unit 4 mid-unit Review
7) A zookeeper leaves a 50 lb bag of grain for an emu. The emu is
always hungry and will eat 2 lbs of grain per hour.
a) What is the independent variable?
b) What is the dependent variable?
Algebra 1 – Unit 4 mid-unit Review
ANSWER
7) A zookeeper leaves a 50 lb bag of grain for an emu. The emu is
always hungry and will eat 2 lbs of grain per hour.
a) What is the independent variable?
time (hours)
b) What is the dependent variable?
Amount of remaining grain (lbs)
Algebra 1 – Unit 4 mid-unit Review
8) A zookeeper leaves a 50 lb bag of grain for an emu. The emu is
always hungry and will eat 2 lbs of grain per hour.
a) Write an equation involving x and y that represents this
situation.
b) When will the emu run out of grain?
c) After 10 hours, how much grain will the emu have left?
Algebra 1 – Unit 4 mid-unit Review
ANSWER
8) A zookeeper leaves a 50 lb bag of grain for an emu. The emu is
always hungry and will eat 2 lbs of grain per hour.
a) Write an equation involving x and y that represents this
situation.
y = -2x + 50
b) When will the emu run out of grain?
In 25 hours
c) After 10 hours, how much grain will the emu have left?
30 lbs
Algebra 1 – Unit 4 mid-unit Review
9) The zookeeper is bringing in a bunch of more emus for the zoo.
The trailer can hold up to 1 ton of cargo (2000 lbs). A female
emu weighs 50 lbs and a male emu weighs 80 lbs.
a) If x is the number of female emus, then ___x represents
the total weight of the females.
b) If y is the number of male emus, then ___y represents the
total weight of the males.
c) Combine yours answers to (a) and (b) to write an equation
that models this situation, using general form.
Algebra 1 – Unit 4 mid-unit Review
ANSWER
9) The zookeeper is bringing in a bunch of more emus for the zoo.
The trailer can hold up to 1 ton of cargo (2000 lbs). A female
emu weighs 50 lbs and a male emu weighs 80 lbs.
50 represents
a) If x is the number of female emus, then ___x
the total weight of the females.
80 represents the
b) If y is the number of male emus, then ___y
total weight of the males.
c) Combine yours answers to (a) and (b) to write an equation
that models this situation, using general form.
50x + 80y = 2000
Algebra 1 – Unit 4 mid-unit Review
10) The zookeeper is bringing in a bunch of more emus for the zoo.
The trailer can hold up to 1 ton of cargo (2000 lbs). A female
emu weighs 50 lbs and a male emu weighs 80 lbs.
a) If all of the emus are male, how many can be taken on the
trailer?
b) Where would this be seen on a graph of this line?
c) If all of the emus are female, how many can be taken on
the trailer?
d) Where would this be seen on a graph of this line?
Algebra 1 – Unit 4 mid-unit Review
ANSWER
10) The zookeeper is bringing in a bunch of more emus for the zoo.
The trailer can hold up to 1 ton of cargo (2000 lbs). A female
emu weighs 50 lbs and a male emu weighs 80 lbs.
a) If all of the emus are male, how many can be taken on the
trailer? 25 males could be taken
b) Where would this be seen on a graph of this line?
This would be the y-intercept: (0,25)
c) If all of the emus are female, how many can be taken on
the trailer?
40 females could be taken
d) Where would this be seen on a graph of this line?
This would be the x-intercept: (40,0)