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MATH MAP Prep 2

Total questions: 52

Worksheet time: 2hrs 49mins

Name
Class
Date
1.
When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y ?
a)
4
b)
14
c)
16
d)
20
2.
What is the value of x when 2x + 3 = 3x – 4 ?
a)
-7
b)
-1/5
c)
1/5
d)
7
3.
The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?
a)
l = 2w + 3
b)
 l =  w – 3
c)
l = 2w – 3
d)
 l =  w + 3
4.
Choose the letter that represents the missing length in the figure
a)
12
b)
10
c)
7
d)
6
5.
Daphne always make sure to bring coupons to the store.  While shopping for cookies, she finds a box discounted by 12% from it normal price of $4.30. Daphne has a coupon that takes an additional 4% off the already discounted price.  After the sales tax of 6% on the final price, how much does Daphne spend on the box of cookies.
a)
$3.78
b)
$3.63
c)
$$3.85
d)
$3.59
6.
Which one of the following expressions has an even integer value for all integers a and c ?
a)
8a+2ac
b)
3a+3c
c)
2a+c
d)
ac+a²
7.
In a set of 5 points, the mean, median, and mode are each equal to 8.  Which of the following could be the data set?
a)
5,7,8,8,12
b)
7,7,8,8,12
c)
7,8,8,8,12
d)
7,8,8,10,12
8.
At the company YouGroove, 35 employees work in the sales department and 50 employees work in the operations department.  Of these employees, 15 work in both sales and operations.  How many of the 110 employees at YouGroove do NOT work in either the sales or the operations departments?
a)
10
b)
15
c)
35
d)
40
9.
The corner convenience store sells candy bars at 4 for $2.91.  At this price, how much would the store charge for 3 candy bars?
a)
$0.73
b)
$1.11
c)
$1.99
d)
$2.18
10.
Eliza bought a meal that cost $12. She tipped the waiter 25% of that amount. How much was the tip?
a)
$3.00
b)
$6.00
c)
$2.50
d)
$3.50
11.
Kelly needs to get a minimum of 75% on today's 60-point math test in order to pass the class. What is the least number of points that she must score to achieve this goal?
a)
15
b)
35
c)
40
d)
45
12.
What is 4% of 80?
a)
320
b)
32
c)
3.2
d)
0.032
13.
Kyle is looking to buy a shirt for his girlfriend's birthday that normally cost $85.  Lucky for Kyle, the store selling the shirt is having a 30% off sale for all items.  After the discount, Kyle must pay 6% sales tax on the shirt.  How much does Kyle end up spending on this shirt for his girlfriend?
a)
$27.03
b)
$63.07
c)
$59.50
d)
$54.57
14.
Which of the following inequalities is equivalent to the inequality 4 (x+6) > 5(x-3)?
a)
x < -9
b)
x < 5
c)
x<9
d)
x <39
15.
Find the slope of the line.
a)
2/1
b)
1/2
c)
-1/2
d)
-2/1
16.
Find the slope of the line that goes through the points (-8,6) and (7,-3).
a)
1/3
b)
-1/3
c)
-3/5
d)
-5/3
17.
What direction is an undefined slope?
a)
horizontal
b)
vertical
18.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
19.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
20.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
21.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
22.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
23.
What slope is perpendicular to:  
m = 3
a)
-3
b)
-1/3
c)
1/3
d)
3
24.
y = 5/7x +2
y = 5/7x - 30
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
25.
y = 6x + 2
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
26.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
27.
A line is parallel to   y = 2x - 7.
What is it's slope?
a)
-2
b)
1/2
c)
-1/2
d)
2
28.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
29.

Write the equation of a line that passes through the point (2, 6) and is perpendicular to the line y = -4x + 8.

a)

y = 1/4x + 5.5

b)

y = 4x + 6

c)

y = -1/4x + 8

d)

y = -4x + 8

30.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
31.

Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?

a)

2x + 5y = 8

b)

5x - 2y = 6

c)

-10x - 4y = 7

d)

-10x + 4y = 9

32.

A marathon runner ran 26 miles in 312 minutes. What is the unit rate in minutes per mile?

a)

0.0833 mile/min

b)

12 min/mile

c)

26 miles/312 min

d)

312 min/26 miles

33.

There are 14 boys and 12 girls in a class. What is the ratio of girls to boys in simplified form?

a)

14/12

b)

12/14

c)

7/6

d)

6/7

34.

There are 14 boys and 12 girls in a class. What percent of the class is girls?

a)

46.15%

b)

85.71%

c)

53.8%

d)

1.17%

35.

A $24.00 shirt is on sale for 15% off. How much do you save when you buy the shirt?

a)

$360

b)

$2.40

c)

$20.4

d)

$3.60

36.

Mrs. Mecey can grade 42 papers in 70 minutes. At that rate, how long will it take her to grade 63 papers

a)

105 minutes

b)

60 minutes

c)

84 min

d)

140 minutes

37.

12⋅5\frac{1}{2}\cdot5  

a)

5125\frac{1}{2}  

b)

2122\frac{1}{2}  

c)

25\frac{2}{5}  

d)

5

38.

34÷3\frac{3}{4}\div3  

a)

112\frac{1}{12}  

b)

14\frac{1}{4}  

c)

49\frac{4}{9}  

d)

2142\frac{1}{4}  

39.

4 − 23⋅94\ -\ \frac{2}{3}\cdot9  

a)

2

b)

-2

c)

1

d)

-1

40.

Simplify: 4x - 9 -8x + 7

a)

-5x -1x

b)

-6x

c)

12x -2

d)

-4x -2

41.

Simplify:

-5(3x - 8)

a)

-15x + 40

b)

15x - 40

c)

-15x - 40

d)

-15x - 8

42.

How many terms are in this expression?

4x - 9 + 4y -5z

a)

1

b)

2

c)

3

d)

4

43.

What is the coefficient?

-2x - 7

a)

2

b)

7

c)

-2

d)

-7

44.

6x + 5 = -13

a)

4/3

b)

3

c)

-3

d)

-4/3

45.

2x - 6 = -12

a)

1

b)

-1

c)

-3

d)

3

46.

23x + 7 = −11\frac{2}{3}x\ +\ 7\ =\ -11  

a)

-27

b)

6

c)

27

d)

-6

47.

x5−2 = −4\frac{x}{5}-2\ =\ -4  

a)

-30

b)

10

c)

-10

d)

30

48.

-5 > 2x - 3

a)

x > 1

b)

x < 1

c)

x > -1

d)

x < -1

49.

-2x - 7 > -15

a)

x > -11

b)

x > 11

c)

x < 4

d)

x > 4

50.

Find the surface area.

a)

129

b)

189

c)

3920

d)

329

51.

Find the volume

a)

1000 in3

b)

2000 in3

c)

78,539.75 in3

d)

6,283.18 in3

52.

Find the volume of the pyramid

a)

1800 cm3

b)

900 cm3

c)

600 cm3

d)

60 cm3