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Algebra 1 Unit 1 Review

Total questions: 40

Worksheet time: 2hrs 45mins

Name
Class
Date
1.
-11-5a = 6(5a + 4)
a)
-1
b)
-2
c)
-3
d)
-4
2.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
3.
Which step cannot be performed first when solving the equation
5 - 2(x - 7) = x + 1 + 3x
a)
Distributing -2 to (x - 7)
b)
Combining x and 3x
c)
Subtracting 1 from both sides
d)
5 - 2
4.
Solve the equation:
4 - 6x - 2= -2(3x-1)
a)
no solution
b)
infinitely many solutions
c)
x = ⅓
d)
x = 4
5.
What is the first step in solving the equation 2a - 4(a - 5) = 10
a)
Add 4 to both sides
b)
Add the 2a and a 
c)
Distribute 4 to a and -5
d)
Distribute -4 to a and -5
6.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
7.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
8.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
9.
Solve for y:
5x - y = 16
a)
-y = 5x + 16
b)
y = 5x + 16
c)
x = 5y - 16
d)
y = 5x - 16
10.

Which expression represents the value of e in the equation:

dx + e = f

a)

e = (f + e)/d

b)

e = (f - x)/d

c)

e = d/(x - f)

d)

e = f-dx

11.
Solve the equation for w.  
x = w / a
a)
w = a / x
b)
w = x / a
c)
w = ax
d)
x = wa
12.

The rate is given as a percent (%). Before using it in the simple interest formula, you must first convert it to a______.

a)

fraction

b)

decimal

c)

ratio

d)

dollar amount

13.

This mysterious hand went to the mall and saw a massage chair that he would have to take a loan out to purchase. The total of the loan was $6600. The bank said that he could get a simple interest rate of 8% for 5 years. What is the total amount that the mysterious hand will pay for the chair?

a)

$2600

b)

$924

c)

$9240

d)

$260

14.
You lend $240 to your friend.  He pays you back $270.  What interest rate did you charge your friend?
a)
88%
b)
20%
c)
12.5%
d)
10%
15.
Solve for y.
-3x + 4y = 12
a)
y = -3/4 x + 3
b)
y = 3/4 x - 3 
c)
y = 3/4 x + 3
d)
y = -3/4 x - 3 
16.
Solve for y .
5x - 8y -12 = 28
a)
y = -5x + 5
b)
y = -5/8 x - 5
c)
y = 5/8 x - 5 
d)
y = 5x - 5 
17.
Which equation fits the table?
a)
y = 10x - 20
b)
y = 10x + 20
c)
y = -20x
d)
y = 10x
18.
Which equations fits the table?
a)
y = 6x
b)
y = x + 6
c)
y = -x + 6
d)
y = x - 6
19.
|v + 8| − 5 = 2 
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
20.
 |−2n| + 10 = −50
a)
{30, -30}
b)
{20,-20}
c)
{-5,5}
d)
No Solution
21.
∣ 2x + 9 ∣ = 15
a)
x = 3 
b)
x = 3
x = -6
c)
x = 3
x = -12
d)
x = 6
x = -12
22.
Solve:
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
23.
Solve:
3(x - 2) < 2(x + 9)
a)
x<24
b)
x>12
c)
x<12
d)
x>24
24.
You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.
a)
12x + 1200 > 400
b)
12x + 400 < 1200
c)
12x + 400 > 1200
d)
12x + 400 < 1200
25.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

26.
"At most" and "No more than" are both clue words for...
a)
<
b)
>
c)
≤
d)
≥
27.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
28.
x+2<-4 or -5x<-15
a)
-6<x<3
b)
x<-3 and x>6
c)
x<-6 or x>3
d)
No Solution
29.
Solve:  -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
30.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
31.
What inequality is graphed?
a)
x > 2 and x < 4
b)
x ≥ 2 and x ≤ 4
c)
x > 2 or x < 4
d)
x ≥ 2 or x ≤ 4
32.
Solve:
 |x + 3| > 8
a)
x > 5 or x < -11
b)
x > 5
c)
all real numbers
d)
no solution
33.
a)
no solution
b)
-6 ≤ r ≥ 8
c)
6 > r > -8
d)
-6 < r < 8
34.
What is the first step?
a)
Get the absolute value alone by dividing both sides by 5
b)
Drop the absolute value bars and add 7 and 5 together
c)
Get the absolute value alone by subtracting 5 from both sides
35.
| x - 2 | > 3
Is this an "and"  or an "or" problem?
a)
and
b)
or
36.
A company makes boxes of crackers that should weigh 213g. A quality control inspector randomly selects boxes to weigh.  Any box that varies from the weight by more than 5g is sent back. What is an equation that shows the range of allowable weights for a box of crackers and what is the range?
a)
|w - 213| ≤ 5,         208 ≤ w ≤ 218
b)
|w - 213| ≤ 5,                   0 ≤ w ≤ 10
c)
|w - 5| ≤ 213,         208 ≤ w ≤ 218
d)
|w - 5| ≤ 213,                   0 ≤ w ≤ 10
37.
What's another way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
38.

What street does SpongeBob live on?

a)

124 Conch Street

b)

912 Bikini Street

c)

320 Sea Plum Street

d)

616 Pineapple Street

39.

What was Karen when she was younger?

a)

Robot

b)

Laptop

c)

Stapler

d)

Calculator

e)

TV

40.

Who did Man Ray go with in high school?

a)

Mable from the dry cleaning place

b)

Mable with "Amnesia" in the hospital

c)

Pearl Mr. Krabs daughter

d)

The nerd in the "Weenie hot Mondays"

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