Free Printable Algebra 2 - Chapter 2 part 2

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Algebra 2 - Chapter 2 part 2

Total questions: 22

Worksheet time: 2hrs 50mins

Name

Class

Date

What is the solution to this system?

(1, -1)

(-1, 1)

(0, -2)

(2, 0)

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

intersecting lines

parallel lines

same lines

Solve by elimination
5x+6y= -10
3x-2y= -6

(-2,0)

(0,-2)

(2,0)

(0,2)

What is the solution to this system?
x - y = 6
y= 2x - 5

(1,3)

(-1,3)

(-1,-7)

(1,-7)

Solve:
y = 7x + 9
2y + 2x = -18

(5, 0)

(9, 18)

(-2, -5)

(1, 16)

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

(-7,0)

(6,0)

(-6,0)

(7,0)

Solve for x and y
y = 2x + 1
y = 4x - 1

(1,3)

(-1,-3)

(-1,3)

(3,1)

A sporting goods store sells left haded (x) and right handed (y) gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system could be solved to determine the number of each type of glove sold?

x + y = 561
45x+52y=12

x + y = 12
52x+45y=561

x + y = 12
45x+52y=561

x + y = 561
52x+45y=12

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

5q + 2z = 1.32

1z = 0.75

5q + 2z = 1.32

3q + 1z = 0.75

q + z = 1.32

q + z = 0.75

5q + 2z = 0.75

3q + 1z = 1.32

10.

Solve the system of equations.

(10, 3)

(6, 3)

(15, 3)

No solution

Infinite Solution

11.

Solve the system of equations.

(-7, 8)

(-7, -6)

(8, -7)

No solution

Infinite solutions

12.

Which graph represents a system of equations with no solution?

None of the above

13.

What is the solution to the system?

(3, -1)

(2, -6)

No Solution

(6, -2)

14.

Solve the following system by graphing. What is the solution?

Infinite number of solutions

(3, 3)

(3, -3)

(-3, 3)

15.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

yes

16.

Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16

(-3, -25)

(3,-7)

(11, 17)

(21, 47)

17.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

x + y = 15
4x + 2y = 44

4x + 2y = 15
x + y = 44

x = 2y + 44
4x = y + 15

2x - 4y = 44
x - y = 15

18.

The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve:
x + y = 55
x - y = 3

(26, 23)

(26, 29)

(29, 26)

(29, 32)

19.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

4x + 6y = 3
13.5x - 13y = 6

x + y = 4
x - y = 6

4x + 6y = 13
3x + 7y = 13.5

4x - 6y = 13
3x - 7y = 13.5

20.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

S + A = 530
3S + 4A = 1740

S + A = 530
4S + 3A = 1740

S + A = 1740
3S + 4A = 530

S + A = 1740
4S + 3A = 530

21.

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?

x + y = 1430
20x + 50y = 49

x + y = 49
10x + 5y = 1430

x + y = 49
20x + 50y = 1430

x + y = 49
x + y = 1430

22.

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

2x + 3y > 100

x + y ≤ 40

100x + 2y > 3

x + y ≤ 40

100x + 40y > 100

3x + 2y ≤ 40

3x + 2y > 100

x + y ≤ 40

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Algebra 2 - Chapter 2 part 2

Total questions: 22

Worksheet time: 2hrs 50mins

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