Algebra 1

Unit 4 Review

Match each equation with line A, B, C, or D from the graph.

___ y = 7

___ x = 7

___ y = 3x – 2

___ y + 4 = (x – 6)

Algebra 1 – Unit 4 mid-unit Review

1)

x

y

5

5

-5

-5

A

B

CD

ANSWERAlgebra 1 – Unit 4 mid-unit Review

Match each equation with line A, B, C, or D from the graph.

___ y = 7

___ x = 7

___ y = 3x – 2

___ y + 4 = (x – 6)

1)

x

y

5

5

-5

-5

A

B

CD

A

C

D

B

List a coordinate pair for each equation in the tables below.

y = 7

x = 7

y = 3x – 2

y + 4 = (x – 6)

Algebra 1 – Unit 4 mid-unit Review

2)

x

y

5

5

-5

-5

A

B

CD

x y

x y

x y

x y

ANSWERAlgebra 1 – Unit 4 mid-unit Review

List a coordinate pair for each equation in the tables below.

y = 7

x = 7

y = 3x – 2

y + 4 = (x – 6)

2)

x

y

5

5

-5

-5

A

B

CD

x y

x y

x y

x y

What are the slopes and y-intercepts of each line?

y = 7slope =y-int =

x = 7slope =y-int =

y = 3x – 2 slope =y-int =

y + 4 = (x – 6)slope =y-int =

Algebra 1 – Unit 4 mid-unit Review

3)

x

y

5

5

-5

-5

A

B

CD

ANSWERAlgebra 1 – Unit 4 mid-unit Review

What are the slopes and y-intercepts of each line?

y = 7slope = 0y-int = 7 or (0,7)

x = 7slope = undefined or y-int = doesn’t have one

y = 3x – 2 slope = 3y-int = -2 or (0,-2)

y + 4 = (x – 6)slope = y-int = -2 or (0,-2)

3)

x

y

5

5

-5

-5

A

B

CD

a) Write an equation of a line parallel to line B.

b) Write an equation of a line perpendicular to line D.

Algebra 1 – Unit 4 mid-unit Review

4)

x

y

5

5

-5

-5

A

B

CD

ANSWERAlgebra 1 – Unit 4 mid-unit Review

a) Write an equation of a line parallel to line B.

b) Write an equation of a line perpendicular to line D.

4)

x

y

5

5

-5

-5

A

B

CD

y = x + bwhere b ≠ -2

y = x + b

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

5)

ANSWERAlgebra 1 – Unit 4 mid-unit Review

The points (-2,-1) and (2,-3) lie on a line. Write an equation of this line in point-slope form.

5)

y + 1 = (x + 2)

or

y + 3 = (x – 2)

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

6)

ANSWERAlgebra 1 – Unit 4 mid-unit Review

y = x – 2

The points (-2,-1) and (2,-3) lie on a line. Write an equation of this line in slope-intercept form.

6)

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

7)

ANSWERAlgebra 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?

time (hours)

Amount of remaining grain (lbs)

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

8)

ANSWERAlgebra 1 – Unit 4 mid-unit Review

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?

8)

y = -2x + 50

In 25 hours

30 lbs

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

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.

ANSWERAlgebra 1 – Unit 4 mid-unit Review

70

9)

80

70x + 80y = 2000

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

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?

ANSWERAlgebra 1 – Unit 4 mid-unit Review

25 males could be taken

10)

This would be the y-intercept: (0,25)

This would be the x-intercept: (40,0)

40 females could be taken