Free Printable College Prep Chapter 3

1.

Solve:

y = 7x + 9

2y + 2x = -18

a)

(5, 0)

b)

(9, 18)

c)

(-2.25, -6.75)

d)

(1, 16)

2.

Solve:
y = -1x - 5
4x - 8y = 4

a)

(-3, -2)

b)

(5, -7)

c)

(3, 9)

d)

(-5, 4)

3.

Solve the system by elimination:

−8x − 10y = 20
−8x − 6y = −4

a)

Infinite number of solutions

b)

(6, 5)

c)

(−6, −5)

d)

(5, −6)

4.

a)

(-1, -5)

b)

(5, -1)

c)

(1, -5)

d)

(1, 5)

5.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

6.

Solve by elimination:
3x+7y=23

-3x-7y=-17

a)

No solution

b)

ARN

c)

(-3,3)

d)

(3,3)

7.

Solve by elimination:
7x+y=-9

-3x-y=5

a)

No solution

b)

(1,8)

c)

(-2,-3)

d)

(-1,-2)

8.

Solve using elimination.
4x + 8y = 20
-4x + 2y = -30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

9.

Solve the system by substitution.

3x − 2y = 7

y = 2x − 7

a)

No solution

b)

(7, 7)

c)

(−7, −7)

d)

(−7, −3)

10.

Solve the system of equations using substitution:

4x - 2y = 6

y = 3x - 3

a)

(3, 6)

b)

(-7, 1)

c)

(0, -3)

d)

(2, 3)

11.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

12.

How many solutions will this system have?

a)

No Solution

b)

Infinitely Many Solutions

c)

No Clue

d)

One solution

13.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

14.

What is the solution?

a)

(2, 2)

b)

(3, 2)

c)

(3, 4)

d)

(2, 3)

15.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

16.

What does it mean if a linear system has one solution?

a)

The lines intersect at one point

b)

The lines do not intersect

c)

The lines intersect at many points

17.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

18.

^{Which system of inequality is shown?}

a)

y > -1/5x - 1/2 and y ≥ -2x - 4

b)

y > -1/5x - 1/2 and y ≤ -2x - 4

c)

y ≥ -1/5x - 1/2 and y ≤ -2x - 4

d)

y < -1/5x - 1/2 and y ≥ -2x - 4

19.

Which system of inequality is shown?

a)

y > -4/5x - 1 and y ≤ 2/3x + 3

b)

y ≥ -4/5x - 1 and y ≤ 2/3x + 3

c)

y < -4/5x - 1 and y < 2/3x + 3

d)

y < -4/5x - 1 and y ≥ 2/3x + 3

20.

Write the inequalities represented in the picture.

a)

y > -2 + x
y ≤ 2x + 2

b)

y > 2 + x
y ≤ 2x + 2

c)

y ≥ -2 + x
y ≤ 2x + 2

d)

none of these are the system

21.

Write the inequalities represented in the picture.

a)

y > 4/5x - 1 and y ≤ -2/3x + 3

b)

y ≥ -4/5x - 1 and y ≤ 2/3x + 3

c)

y < -4/5x - 1 and y < 2/3x + 3

d)

y > -4/5x - 1 and y ≤ 2/3x + 3

22.

A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulations to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans he plants and $3,000 for every acre he plants with corn can be modeled by P=4000x+3000y . What is the maximum profit that she can earn?

a)

$15,000

b)

$21,000

c)

$18,000

d)

$24,000

23.

A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulations to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans he plants and $3,000 for every acre he plants with corn can be modeled by P=4000x+3000y . What combination of soybeans and corn will maximize profit?

a)

4 acres of soybeans and 2 acres of corn

b)

6 acres of soybeans and 0 acres of corn

c)

3 acres of soybeans and 3 acres of corn

d)

0 acres of soybeans and 5 acres of corn

24.

A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulations to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans he plants and $3,000 for every acre he plants with corn can be modeled by P=4000x+3000y . If x represents acres of soybeans and y represents acres of corns, which inequalities represent the possible solutions to her situation?

a)

x≥0

y≥0

x+y≥6

3x+2y≥15

b)

x≥0

y≥0

x+y≤6

2x+3y≤15

c)

x≥0

y≥0

4000x+y≤6

2x+600y≤15

d)

P=4000x+3000y

College Prep Chapter 3

Total questions: 24

Worksheet time: 6hrs 46mins

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