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Chapter 1 Big Ideas Pre-Algebra

Total questions: 35

Worksheet time: 3hrs 55mins

Name
Class
Date
1.

Find the Error

What error did the student make when solving the equation:

5x + 6 = 66

5x +6 - 6 = 66 -6

5x = 60

5*5x= 60*5

x = 300

a)

The student subtracted 6 from both sides instead of adding

b)

Student multiplied by 5 instead of dividing by 5

c)

Student got the wrong answer when subtracting 66-6

d)

The student did not correctly eliminate the variable from one side of the equation

2.
Laney pays $0.99 for each song she downloads from the Internet. In total, she paid $24.75 for songs from the Internet. How many songs does Laney download? 
a)
20 songs
b)
25 songs
c)
30 songs
d)
35 songs
3.
Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20
a)
They should have divided by 1 for the last step
b)
They should add 19 instead of subtracting 19
c)
I can not find an error
d)
Instead of adding 3k they should subtract 3k
4.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
5.

Which equation will end in "no solution"?

a)

2w - 11 = 3w + 5

b)

2(w + 8) = 2(2w - 19)

c)

w + 7 + w = 2w - 9

d)

2w - 6 = 2(w - 10) + 5w

6.

Solve

a)

2

b)

-8

c)

No Solution

d)

Infinitely Many Solutions

7.

Do I need to distribute, combine like terms, or both?

a)

Distribute

b)

Combine like terms

c)

Both

8.

Show your work:

a)
b)
9.

Do I need to distribute, combine like terms, or both?

a)

Distribute

b)

Combine like terms

c)

Both

10.

Simplify the expression (this means distribute and/or combine like terms):

a)

11x + x = 28

b)

4x + 8 = 28

11.

Show your work:

a)
b)
12.

Show your work:

a)
b)
13.

Show your work:

a)
b)
14.
Add
a)
11    8
-4     2
b)
3     2
-6    -6
c)
-3    2
-4    -6
d)
10    8
-6    2
15.

Show your work:

a)
b)
16.

Do I need to distribute, combine like terms, or both?

a)

Distribute

b)

Combine like terms

c)

Both

17.
Subtract
a)
-5
-8
3
10
b)
-9
8
3
2
c)
5
-8
3
10
d)
-5
8
3
2
18.

When do you "flip the inequalities sign"?

a)

When you add or subtract a negative

b)

When it's a 1-step problem

c)

When you multiply or divide a negative

d)

When it's a 2-step problem

19.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
20.

-3x ≤ 18

a)

x ≤ -6

b)

x ≤ 6

c)

x ≥ 6

d)

x ≥ -6

21.

Multiply

a)

20 15 -10

30 -5 0

b)

-20 15 -10

30 -5 0

c)

1 8 3

11 4 5

d)

-20 -15 10

-30 5 0

22.

When do you use a closed circle on a graph for an inequality?

a)

When it is ≥ or ≤

b)

When it is > or <

c)

When the number in front of the variable is negative

d)

When it is only =

23.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

24.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

25.
Solve
a)
2
b)
-2
c)
6
d)
-6
26.
Fill in the blank:
4(3x + __) = 12x + 16
a)
4
b)
16
c)
4x
d)
12
27.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
28.
Which of the following is equivalent to 5(a + 6)?
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
29.

Which statement best describes l -4 l?

a)

the distance from -4 to 4 on a number line

b)

the distance from 4 to 0 on a number line

c)

the distance from -4 to 0 on a number line

d)

the distance from 0 to 4 on a number line

30.
At a talent show, each performer has 2 minutes to set up, 3 minutes for an introduction, and 5 minutes for the act. There are 20 people performing. Which expression would help you find how long the talent show will be?
a)
2(20 + 3 + 5)
b)
3(20 + 2 + 5)
c)
5(20 + 2 + 3)
d)
20(2 + 3 + 5)
31.
There are 7 teams in the soccer tournament. There are 2 coaches on each team and 10 kids play on each team. Which sentence below represents how many people total are participating in the tournament?
a)
70 coaches + 20 kids
b)
14 coaches + 20 kids
c)
14 coaches + 70 kids
d)
20 coaches + 14 kids
32.
What is the definition of one solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
33.
What is the definition of infinite solutions?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
34.

What is the solution to the equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

35.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these

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