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Week 5 Expressions and Equations Quiz

Total questions: 60

Worksheet time: 7hrs 39mins

Name
Class
Date
1.

Simplify 5(2 - 7n)

a)

52 - 57n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

2.
Simplify the expression:
6 + 2(7x - 3) 
a)
12 + 7x
b)
14x
c)
14x + 3
d)
9 + 7x
3.
Simplify the expression: 7+3(1 - 2x) 
a)
21 - 6x
b)
10 - 2x
c)
10 - 20x
d)
10 - 6x
4.
-12n - (-13n)
a)
-25n
b)
25n
c)
n
d)
-n
5.
3 - 2a + 3a + 5a
a)
5a+3
b)
5a-3
c)
6a + 3
d)
8a+3
6.
−x2+2−1+6x2−4x2
a)
x 2  -1
b)
x2 +1
c)
3x2 +1
d)
x 2+3
7.
Simplify the Expression. 
9z  - 21 - 3z + 10
a)
Simplified
b)
9z - 21 - 7
c)
9z - 11 -3z
d)
6z - 11
8.
Add these expressions
(x+5) + (2x+10)
a)
3x+15
b)
x-5
c)
18x
9.
Add these expressions
(3x+15) + (4x+13)
a)
7x+ 28
b)
35x
c)
x+2
10.
Simplify the expression:
-5(x + 4)
a)
5x + 4
b)
-5x + 4
c)
-5x + 20
d)
-5x + -20
11.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
12.
Solve for k:
3k + 5 = 23
a)
k = 4
b)
k = 5
c)
k = 6
d)
k = 7
13.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
14.
Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...
a)
Inverse operations
b)
math
c)
variable
d)
PEMDAS
15.
Rachel and Sharon are splitting up their Pokemon cards.  Rachel has 4 fewer than 3 times as many as Sharon.  Together they have 100 cards.  Which equation could be used to solve for how many cards Sharon had originally?
a)
n + (3n - 4) = 100
b)
n - (3n - 4) = 100
c)
n + (4 - 3n) = 100
d)
4 - 3n = 100
16.
Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal.  If each box of cereal costs $4.50, how many can she purchase?
a)
4 boxes
b)
5 boxes
c)
6 boxes
d)
7 boxes
17.
Simplify the following expression:
19 - ( 3 - 5b)
a)
16 + 5b
b)
21 + 5b
c)
16 - 5b
d)
21 - 5b
18.
Simplify:
-1x + y - z + 10z + 2x - 10y
a)
1x - 9y + 9z
b)
1x - 9z - 9y
c)
-1x - 9z - 9y
d)
-1x - 9 - 9y
19.
Simplify the following expression:
(5x4 - 3x + 8x2) - (8x4 - 7x2)
a)
13x4 - 3x + 1x2
b)
-3x4 + 15x2 - 3x
c)
-3x4 - 1x2 + 3x
d)
13x4 + 15x2 - 3x
20.
What is the value of the expression
x2 + y2 + x - y 
when x = -1 and y = 3
a)
6
b)
8
c)
12
d)
16
21.
Evaluate the expression when
x =5    and   z = 4
z2  - 2x
a)
6
b)
2
c)
17
d)
26
22.
Solve:
a)
6
b)
5
c)
-5
d)
6
23.
Solve:
-19 + 3x = 3( x - 5)
a)
No Solutions
b)
Many Solutions
c)
x = (-6)
d)
x = 8
24.
Solve:
2(3x - 6) = -12 + 6x
a)
x = 4
b)
No Solution
c)
Many Solutions
d)
x = (-6)
25.
Bob spent $25 on a magazine and some candy bars. If the magazine cost $4 and each candy bar cost $3, then how many candy bars did he buy? Which equation represents the situation?
a)
25 = 4x + 3
b)
4x+3 = 25
c)
3(4) + x = 25
d)
3x + 4 = 25
26.
Mary has been saving her weekly allowance for the past 20 weeks. She started with $100 and now has $300. Which equation can be used to find the amount of money Mary receives for her weekly allowance?
a)
F   100 = 300+ 20x
b)
G   300 - 100x = 20
c)
H    300 = 100 + 20x 
d)
J    300 = 100 - 20x 
27.
Dani's gym charged a $10 fee to join plus $29 per month. She calculated that the gym has cost her a total of $155 since she joined. Which equation could be used to determine the number of months (m) Dani has been going to the gym? 
a)
A   10m + 29 = 155
b)
B   10 + 29 = 155m
c)
C   m + 29 = 155 - 10
d)
D   10 +29m = 155
28.
Nita's coworkers gave her money to bring breakfast for everyone. She spent $19 on bagels, cream cheese and juice and spent the rest on grapes, which were on sale for $1.47 per pound. Her total came to $23. Which of the following equations shows how many pounds of grapes (p) Nita purchased? 
a)
A   23 + 19 = 1.47p
b)
B   1.47p + 19 = 23
c)
C   19 - 1.47p = 23
d)
D    23 = 19p - 1.47
29.
Karyn got $10 of allowance money and babysat her cousin for $8 per hour.  She earned a total of $46. Which equation below could be used to determine the number of hours (h) she babysat? 
a)
A   10 + 8 = 46h 
b)
B   10 + 8h = 46 
c)
C   10h + 8 = 46 
d)
D   10 + 8h = 46h
30.
Jenna wants to buy a new pair of boots that cost $108.00.  She earns $12 per week babysitting her little sister in the afternoons.  How many weeks will it take Jenna to save enough money to buy the boots?
a)
8 weeks 
b)
9 weeks
c)
10 weeks
d)
12 weeks
31.
Jalen has $3 less than twice the dollars (d) than his friend Carla.  Which expression matches the situation?
a)
3 - 2d
b)
2d - 3
c)
3d
d)
5 + d
32.
The perimeter of the rectangular picture frame is 26 inches.  The width of the frame is 6 inches, what is the length?
a)
6 inches
b)
7 inches
c)
12 inches
d)
14 inches
33.
Identify the constants in the following expression.
2x – 5 + 6.5x – 3.2 +8 +9x
a)
2, 5, 6.5, 3.2, 8, 9 
b)
-5, -3.2, 8
c)
2, -5, 6.5, -3.2, 8, 9 
d)
5, 3.2, 8
34.
Identify the number of terms in the following expression.
2x – 5 + 6.5x – 3.2 +8 +9x
a)
3
b)
4
c)
5
d)
6
35.
Doug earns $10.50 per hour working at a restaurant.  On Friday he spent 1 ¾ hours cleaning, 2 1/3 hours doing paperwork, and 1 5/12 hours serving customers.  What were Doug’s earnings? 
 
a)
$46.97
b)
$47.25
c)
$53.00
d)
$57.75
36.
What is the first step to solve this equation:
11 - 3x = 44
a)
Subtract 11 from both sides
b)
Divide  - 3 on both sides
c)
Add 3 to both sides
d)
Add 11 to both sides
37.
472 students are going on a field trip.  120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, how many cabins need to be rented?
a)
8x + 120 = 472
b)
472 + 120 = 8x
c)
120 - 8x = 472
d)
8x - 120 = 472
38.
Joe's BBQ sells BBQ by the pound.  Michelle buys $8.75 worth of sides and then 6 pounds of barbeque.  If her total bill was $40.55, how much was each pound of barbeque?
a)
$5.30
b)
$3.95
c)
$8.22
d)
$5.32
39.
Use the distributive property to write an equivalent expression.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
40.

The statement “If (1/2)x=-5, then x=-10.”

Which of the following properties was used to find this solution

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Commutative Property of Division

e)

Associative Property of Subtraction

41.

Which property justifies rewriting

3x-5x as (3-5)x

a)

Associative property of multiplication

b)

Distributive Property

c)

Community Property of Subtraction

d)

Transitive Property

e)

Reflexive Property

42.

Simplify the expression above:

a)

-64/3=-21.3333...

b)

8

c)

-8

d)

4

e)

-4

43.

Frank, who is the youngest member of his basketball team at Frenchview High School, is 7 years less than one-half the age of the coach. If the coach is n years old, which expression decides Frank's age?

a)

1/2n-7

b)

2n+7

c)

7-1/2n

d)

2n-7

e)

7-2n

44.

Simply:

a)

-8

b)

-4

c)

-2

d)

6/5

e)

2

45.

Find the value of the expression below when x=-4 and y=2

-3x2y+4x

a)

-112

b)

-88

c)

40

d)

-12x3y

e)

The expression is already simplified

46.

the formula for the surface area of a cylinder is SA=2πr(h+r). What is the surface area of a cylinder with r=3 cm and h=4 cm?

a)

28π cm2

b)

32π cm2

c)

36π cm2

d)

42π cm2

e)

48π cm2

47.

What is the solution to the equation above?

a)

n=-34

b)

n=-19

c)

n=-14

d)

n=8.5

e)

n=14

48.

What is the value for t in the equation?

2/3t - 6 =15

a)

6

b)

9

c)

14

d)

31.5

e)

63

49.

What step would I do second?

(4 - 2)² x 9 + 7 =

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

e)

squaring

50.

Which statement is an accurate interpretation of the student's work?

a)

The correct solution is x=11

b)

The student made an error in Step 1

c)

The student made an error in Step 2

d)

The student made an error in Step 3

e)

The solution to the equation in Step 2 is x=11, but this is not a solution to the original equation

51.

Derek uses a $50 gift card to purchase 3 books for $12 each and a calendar for $9. Which expression represents the amount of money left on the gift card?

a)

50 - 123 - 9

b)

50 - 3(12 + 9)

c)

(3)(12) + 9

d)

50 - (3)(12) - 9

e)

50- 3(12-9)

52.

Which of the following is equivalent to the expression below?


4x + 3(2x - 1) - 4x

a)

6x - 3

b)

6x + 3

c)

14x - 3

d)

14x + 3

e)

3x

53.

Solve

a)

8

b)

38

c)

34

d)

14

e)

All Real Numbers

54.

Solve

a)

2

b)

-27/7

c)

-32/7

d)

27/7

e)

All real numbers

55.

Select all numbers that are rational numbers.

a)
b)
c)
d)
e)
56.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
57.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
58.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
59.
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
60.
5x - y = 16
a)
-y = 5x + 16
b)
y = 5x + 16
c)
x = 5y - 16
d)
y = 5x - 16

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