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Worksheets

Systems and Review

Total questions: 25

Worksheet time: 2hrs 44mins

Name
Class
Date
1.
Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?
a)
x - y = -10
x + y = -2
b)
x = -2 
y = 5
c)
x + y = -2
x - y = -10
d)
x + y = -10
x - y = -2
2.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
3.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. The total receipts were $1740.

Which system of equations can be used to solve the problem?

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

4.
Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-1, 4)
b)
(1, -4)
c)
(-4, 1)
d)
(4, -1)
5.

Which of the following solves the equation:

3x-2=y+1

a)

(1,0)

b)

(0,1)

c)

(0,-1)

d)

No Solution

e)

Answer not listed

6.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
7.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
a)
yes
b)
no
8.

Erica has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. How many weeks will it take Erica to save money for a new jacket? Use w as the number of weeks.

a)

5 + 14w = 64

b)

14 + 5w = 64

c)

19w = 64

d)

5w - 14 = 64

9.

What is the solution to this system of equations?

(Both lines are graphed over each other)

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

10.

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

a)

5q + 2z = 1.32

1z = 0.75

b)

5q + 2z = 1.32

3q + 1z = 0.75

c)

q + z = 1.32

q + z = 0.75

d)

5q + 2z = 0.75

3q + 1z = 1.32

11.
What is the solution to this system?
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
12.

Simplify

(19 - 7) ÷ 4 + 11

a)

14

b)

0.8

c)

15

d)

13

13.

Simplify

(3+4) x (3+5)

a)

50

b)

54

c)

56

d)

48

14.

How do you write this in exponent form?

5* 5 * 5 * 5 * 5 * 5 * 5 * 5

a)

57

b)

75

c)

58

d)

85

15.

Solve for x

16x - 8 - 9x = 27

a)

x = -7

b)

x = 7

c)

x = 5

d)

x = -5

16.
3(x+1)=9
a)
2
b)
8/3
c)
5
d)
4
17.
The cafeteria had fifty-one apples. For lunch they handed out forty-one to students and decided to use the rest to make pies. If each pie takes five apples, how many pies could they make?
a)
51 pies
b)
41 pies
c)
10 pies
d)
2 pies
18.

Paul starts a bank account with $350. Every month he deposits $150 into the account from his paycheck. He wants to know when he will have $2450.


Which equation could he use?

a)

350+150x = 2450

b)

350x + 150 = 2450

c)

2450 + 150x = 350

d)

2450x + 150 = 300

19.
The middletown Zoo has 130 different exhibits.  Of those 130 exhibits, 30% of them contain birds.  How many exhibits contain birds?
a)
49
b)
39
c)
60
d)
25
20.
What is the rule?
5,10,15,20,25
a)
add 6
b)
add 5
c)
add 4
d)
add 7
21.
How would you describe this pattern's rule?
16, 11, 6, 1
a)
Add 5
b)
Subtract 3
c)
Subtract 5
d)
Subtract 6
22.

How many blocks will be in the 4th picture?

a)

The next picture will have 16 blocks

b)

The next picture will have 15 blocks.

c)

The next picture will have 14 blocks.

d)

The next picture will have 11 blocks.

23.

Which statement best describes the slope?

a)

The person can write 1 word every 2 minutes

b)

The person can write 50 words every 2 minutes

c)

The person can write 50 words per minute

d)

The person can write 150 words every minute

24.
-10+4
a)
-14
b)
14
c)
-6
d)
6
25.

James has 5 coins in his pocket. Some are dimes. Some are Quarters. In total, he has $1.10. How many of each coin does he have?

a)

Four quarters and one dime

b)

One dime and four quarters

c)

Three quarters and two dimes

d)

Two quarters and six dimes

e)

Eleven dimes and no quarters