Free Printable Incoming Freshmen Placement Test

1.

$If\ f\left(x\right)\ =\ 2x^2-4x,\ then\ f\left(-3\right)=$

a)

48

b)

30

c)

-6

d)

0

2.

Which of the following functions match the statement "if you input 7, the output is 11"?

a)

$f\left(x\right)=3x-9$

b)

$f\left(x\right)=20-x$

c)

$f\left(x\right)=2x-3$

d)

$f\left(x\right)=x+11$

3.

What is the ordered pair of the point shown?

a)

(-5,2)

b)

(2,-5)

c)

(-2,5)

d)

(5,2)

4.

Which equation includes all of the ordered pairs shown on the graph?

a)

$y=\frac{1}{2}x+3$

b)

$y=-\frac{1}{2}x+3$

c)

$y=x+3$

d)

$y=\frac{1}{2}x^2+3$

5.

The linear equation 4x+2y=14 is written in standard form. Which of the following shows the same equation written in slope-intercept form ?

a)

$y=2x+7$

b)

$y=-2x+14$

c)

$y=-2x+7$

d)

$y=-4x+14$

6.

The table below models which of the following equations?

a)

$y=x+3$

b)

$y=3x$

c)

$y=2x+3$

d)

$y=3x+2$

7.

What is the slope of the line as seen in the graph?

a)

$\frac{2}{3}$

b)

$-\frac{2}{3}$

c)

$\frac{3}{2}$

d)

$-\frac{3}{2}$

8.

What type of slope is this

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

9.

$If\ 5-2x\le19,\ then\$

a)

$x\le-7$

b)

$x<-7$

c)

$x\ge-7$

d)

$x>-7$

10.

$3,\ 2^2,\ 4^{\frac{1}{2}},\ \sqrt{8}:$ Order these from smallest to largest.

a)

$4^{\frac{1}{2}},\ \sqrt{8},\ 3,\ 2^2$

b)

$\sqrt{8},\ 3,\ 4^{\frac{1}{2}},\ 2^2$

c)

$3,\ 4^{\frac{1}{2}},\ \sqrt{8},\ 2^2$

d)

$2^2,\ \sqrt{8},\ 4^{\frac{1}{2}},\ 3$

11.

Simplify:

(3x+4)−(x+9)

a)

3x-5

b)

2x+13

c)

2x-5

d)

3x+13

12.

Simplify:

(3x+7)(2x+3)

a)

$6x^2+23x+21$

b)

$x+4$

c)

$5x+10$

d)

$6x^2+21$

13.

$Simplify:\ -5x\left(3x^2-4x+2\right)$

a)

$-15x^3-20x^2+10x$

b)

$-15x^3+20x^2-10$

c)

$-15x^2+20x-10$

d)

$-15x^3+20x^2-10x$

14.

Alysha awakes when the temperature is 0 degrees Celsius outside. At the time she walks out to meet the bus, the temperature has increased by 6 degrees. When she goes to sleep that evening, the temperature had decreased 10 degrees from the bus time. This means it is now _____________degrees Celsius outside when Alysha goes to sleep.

a)

16

b)

-4

c)

4

d)

-16

15.

Bobby is playing a game of chance where he grabs red and green blocks out of a bag. Red blocks are worth -3 points each and green blocks are worth +1 point each. If Bobby grabs 5 red blocks to start, how many green blocks will he have to grab to bring his score up to zero?

a)

2

b)

8

c)

15

d)

5

16.

Jolene borrowed $16 from her grandmother and promised to help her around the house in order to pay it back. After she did yard work and household chores 2 hours a day for 4 days her grandmother said she had paid her debt. Based on this, how much money did Jolene earn per hour for her work?

a)

$8

b)

$4

c)

$2

d)

$6

17.

Simplify: 3x+2p+5p+6x

a)

7p+9x

b)

5xp+11px

c)

16px

d)

3x+7p+6x

18.

Simplify: 4x−(7x−6)+5

a)

-3x-1

b)

-4x

c)

8x

d)

-3x+11

19.

Which inequality matches the given graph on a number line?

a)

$x<6$

b)

$x\le6$

c)

$x\ge6$

d)

$x>6$

20.

Choose the best inequality to match this scenario: To ride the carnival ride, you must be 48” or taller.

a)

$x<48$

b)

$x>48$

c)

$x\le48$

d)

$x\ge48$

21.

Solve: m+3=-7

a)

-10

b)

-4

c)

4

d)

10

22.

$\frac{12}{x}=4\ \ \ \ \ \ \ \ \ \ \ Solve\ for\ x$

a)

3

b)

4

c)

-3

d)

-4

23.

4x-8=16

a)

6

b)

32

c)

12

d)

2

24.

$\frac{x}{5}-9=11\ \ \ \ \ \ Solve\ for\ x$

a)

4

b)

64

c)

100

d)

$11\ \frac{1}{5}$

25.

5 times the sum of 8 and a number is the opposite of 35.

a)

5(8+x)=-35

b)

5(8x)=-35

c)

5+8x=35

d)

5x+8=-35

26.

Solve the equation: 3(x+1)−5 = 5x−2

a)

-1

b)

1

c)

0

d)

No Solution

27.

Which letter best represents 5.55

a)

N

b)

O

c)

P

d)

Q

e)

R

28.

Round 3456.8462 to the hundredths place.

a)

3500

b)

3456.84

c)

3456.85

d)

3456..846

e)

3456.847

29.

Write .125 as a fraction.

a)

$\frac{125}{1000}$

b)

$1\ \frac{25}{100}$

c)

$12\ \frac{5}{10}$

d)

$\frac{125}{100}$

30.

The greatest common factor (gcf) of the numbers 36 and 54 is ?

a)

2

b)

9

c)

6

d)

3

e)

18

31.

$6.28\ \ \ \ \ \ \ \ \ 6\ \frac{1}{5}\ \ \ Use\ the\ correct\ symbol.$

a)

$>$

b)

=

c)

$<$

32.

Which of the following points is located on the y-axis?

a)

(0,3)

b)

(3,0)

c)

(3,3)

d)

(-3,-3)

33.

In what quadrant does the point (-6,2) lie?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

34.

$\frac{1}{8}\times\frac{2}{3}$ Simplify completely:

a)

$\frac{1}{12}$

b)

$\frac{3}{16}$

c)

$\frac{2}{24}$

d)

$\frac{2}{11}$

35.

$\frac{2}{3}\div\frac{5}{6}$ Simplify Completely:

a)

$\frac{5}{9}$

b)

$\frac{12}{15}$

c)

$\frac{4}{5}$

d)

$\frac{10}{18}$

36.

$10\times\frac{1}{2}$ Simplify completely:

a)

5

b)

$\frac{10}{20}$

c)

$\frac{1}{20}$

d)

20

37.

$\frac{8}{20}+\frac{1}{5}$ Simplify Completely:

a)

$\frac{9}{25}$

b)

$\frac{12}{20}$

c)

$\frac{3}{5}$

d)

$\frac{9}{20}$

38.

What is the perimeter of this rectangle?

a)

63

b)

16

c)

32

d)

36

39.

What is the area of the rectangle?

a)

63

b)

16

c)

32

d)

36

40.

$Simplify:\ \ 8\div\left(10-9\right)^3\times7+4^2$

a)

72

b)

968

c)

16.38

d)

3600

Incoming Freshmen Placement Test

Total questions: 40

Worksheet time: 10hrs 0mins

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