wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Algebra Regents Review Equations

Total questions: 18

Worksheet time: 18mins

Name
Class
Date
1.
a)

1

b)

2

c)

3

d)

4

2.
a)

1

b)

2

c)

3

d)

4

3.
a)

1

b)

2

c)

3

d)

4

4.
a)

1

b)

2

c)

3

d)

4

5.

What is the solution to this system?

a)

(-2, -2)

b)

(2, -2)

c)

(-2,2)

d)

(2, 2)

6.
a)

1

b)

2

c)

3

d)

4

7.

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?

a)

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

b)

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

c)

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

d)

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

8.

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. Which system of equations solves this problem to show how many students were in each van and each bus?

a)

11v + 3b = 283

12v + 14b = 770

b)

v + b = 14

v + b = 16

c)

11v + 12v = 283

3b + 14b = 770

d)

v + b = 30

23v + 17b = 1053

9.

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? 

a)

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

b)

x + y = 49
10x + 5y = 1430 

c)

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

d)

x + y = 49
x + y = 1430

10.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

11.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

12.

What is the solution for the system provided?

a)

Infinitely many solutions

b)

No solution

c)

One solution

d)

(0,0)

13.

What is the equation for this line?

a)

y = x - 2

b)

y = x + 2

c)

y = 2x

d)

y = -x + 2

14.

Which expression is equivalent to 2(3g-4)-(8g+3)?

a)

-2g-1

b)

-2g-5

c)

-2g-7

d)

-2g-11

15.

Evaluate f(x)= -2x + 13 for f(10)

a)

-7

b)

1

c)

-8

d)

7

16.

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?

a)

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

b)

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

c)

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

d)

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

17.

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?

a)

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

b)

x + y = 4
x - y = 6

c)

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

d)

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

18.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50