Free Printable Geometry Pre-Assessment

1.

Identify the coefficient: $14mn^2$

a)

14

b)

m

c)

n

d)

2

2.

How many terms are in the expression: $7+r^3-14-r^2+2r^4$

a)

2

b)

3

c)

4

d)

5

3.

Identify the like terms for $2m^3n.$ Select all that apply.

a)

$2mn$

b)

$4m^2n$

c)

$-5m^3n$

d)

$3m^3$

4.

Simplify the expression: $3\left(x-2\right)-5\left(x-8\right)$

a)

$-2x-10$

b)

$-2x+34$

c)

$-2x-42$

d)

$8x-46$

5.

Simplify the expression: $6m^2-12m-7m^2$

a)

$-m^2-12m$

b)

$m^2-12m$

c)

$-13m$

d)

$m^2-13m$

6.

Simplify the expression: $10y+5y+9-2y$

a)

$17y+9$

b)

$15y+9$

c)

$13y+9$

d)

$15y-9$

7.

Evaluate the expression: $2x^3+12;\ \ x=2$

a)

28

b)

20

c)

16

d)

24

8.

Evaluate the expression: $-x^2+5;\ \ x=-3$

a)

$2$

b)

$14$

c)

$8$

d)

$-4$

9.

Evaluate the expression: $3x^2-18;\ \ x=-4$

a)

$6$

b)

$-42$

c)

$30$

d)

$-66$

10.

Solve the equation: $19=5m+3m-\left(-3\right)$

a)

$\frac{4}{11}$

b)

$\frac{11}{4}$

c)

$2$

d)

$-2$

11.

Solve the equation: $4\left(1-z\right)-2=14$

a)

$3$

b)

$-3$

c)

$5$

d)

$-5$

12.

Solve the equation: $5\left(x-3\right)=\frac{1}{3}\left(36+6x\right)$

a)

$-5$

b)

$5$

c)

$9$

d)

$-9$

13.

Solve the equation: $\frac{x}{5}-8=3$

a)

$-25$

b)

$55$

c)

$-1$

d)

$\frac{11}{5}$

14.

Simplify: $\sqrt{49}$

a)

5

b)

6

c)

7

d)

8

15.

Simplify: $\sqrt{169}$

a)

11

b)

18

c)

13

d)

22

16.

Simplify: $\sqrt{18}$

a)

$2\sqrt{3}$

b)

$3\sqrt{2}$

c)

$9\sqrt{2}$

d)

$9\sqrt{3}$

17.

Simplify: $\sqrt{147}$

a)

$10\sqrt{3}$

b)

$21$

c)

$3\sqrt{7}$

d)

$7\sqrt{3}$

18.

Simplify: $\sqrt{72}$

a)

$2\sqrt{6}$

b)

$6\sqrt{2}$

c)

$3\sqrt{8}$

d)

$8\sqrt{3}$

19.

Simplify: $\sqrt{242}$

a)

$121\sqrt{2}$

b)

$22$

c)

$2\sqrt{11}$

d)

$11\sqrt{2}$

20.

Simplify: $3\sqrt{20}$

a)

$7\sqrt{5}$

b)

$5\sqrt{5}$

c)

$6\sqrt{5}$

d)

$12\sqrt{5}$

21.

Simplify: $7\sqrt{12}$

a)

$14\sqrt{3}$

b)

$28\sqrt{3}$

c)

$9\sqrt{3}$

d)

$11\sqrt{3}$

22.

$\left(3\sqrt{2}\right)\left(4\sqrt{8}\right)$ Simplify Completely

a)

$7\sqrt{10}$

b)

$12\sqrt{16}$

c)

$48\sqrt{4}$

d)

$48$

23.

$\left(4\sqrt{2}\right)^2$ Simplify Completely

a)

$32$

b)

$16\sqrt{4}$

c)

$16\sqrt{2}$

d)

$8\sqrt{4}$

24.

$\sqrt{32}+\sqrt{18}$

Simplify completely

a)

$25\sqrt{2}$

b)

$\sqrt{50}$

c)

$4\sqrt{2}+3\sqrt{2}$

d)

$7\sqrt{2}$

e)

Can't be simplified

25.

$\frac{9}{x}=\frac{x}{4}$

Check all correct values of x:

a)

6

b)

36

c)

18

d)

-6

26.

$4x+6y=10$ $6x+5y=3$

Solve the system of equations with whatever method you'd like. Type your answer in as a coordinate pair so when x=1 and y = 2, you'd type: (1,2) *no spaces!

(a)

27.

$x^2-25=0$

Check all correct values of x:

a)

25

b)

5

c)

-5

d)

625

28.

$4x^2+13x+3=0$

Solve by using the quadratic formula

a)

$-3\ \&\ -\frac{1}{4}$

b)

$-26\ \&\ 1$

c)

$4\ \&\ -3$

d)

no solution

29.

What is the length of a segment connecting points (4, 14) and (13, 2)? *Use the distance formula

(a)

30.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

31.

Find the slope between the two points.
(3, 7) and (-4, 2)

a)

⁷/₅

b)

⁵/₇

c)

²/₃

d)

2

32.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

33.

Simplify the expression: $3\left(x-2\right)-5\left(x-8\right)$

a)

$-2x-10$

b)

$-2x+34$

c)

$-2x-42$

d)

$8x-46$

34.

Evaluate the expression: $-x^2+5;\ \ x=-3$

a)

$2$

b)

$14$

c)

$8$

d)

$-4$

35.

Solve the equation: $4\left(1-z\right)-2=14$

a)

$3$

b)

$-3$

c)

$5$

d)

$-5$

36.

Solve the equation: $5\left(x-3\right)=\frac{1}{3}\left(36+6x\right)$

a)

$-5$

b)

$5$

c)

$9$

d)

$-9$

37.

Simplify: $\sqrt{18}$

a)

$2\sqrt{3}$

b)

$3\sqrt{2}$

c)

$9\sqrt{2}$

d)

$9\sqrt{3}$

38.

Simplify: $7\sqrt{12}$

a)

$14\sqrt{3}$

b)

$28\sqrt{3}$

c)

$9\sqrt{3}$

d)

$11\sqrt{3}$

39.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

40.

Solve for x and y.
y = 2/3x - 2
y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

41.

Solve for x and y
5x + 3y = 7
y = 4

a)

(4,1)

b)

(4,-1)

c)

(1,4)

d)

(-1,4)

42.

Solve the system:

y= 3x -13

2x +4y =4

a)

(5,2)

b)

(4, -1)

c)

(-4, -1)

d)

(5, -2)

e)

(-4, 1)

43.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

44.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

45.

$-5\left[16-9\left(5-2\right)^2\right]$

a)

325

b)

-315

c)

315

d)

-325

46.

$Evalute\ 8x^2-2x,\ when\ x=5.$

a)

70

b)

190

c)

1590

d)

30

47.

$\frac{5}{7}=\frac{130}{x}$

Solve:

a)

182

b)

92.86

c)

27.4

d)

26

48.

What is the slope of the line that passes through these two points (-5, 7) and (6, 4)?

a)

3/11

b)

-3/11

c)

-1/3

d)

1/3

49.

What is the equation of the line that passes through (-1, -7) and has a slope of 2?

a)

y = 2x - 5

b)

y = -2x - 5

c)

y = 2x - 1

d)

y = 2x - 7

50.

Find the radius of the circle

a)

20 ft

b)

10 ft

c)

5.5 ft

d)

10

51.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

52.

The distance all the way around the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

53.

^{_{How many faces?}}

a)

10 faces

b)

4 faces

c)

5 faces

d)

6 faces

54.

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.

Which system of equations models this situation if the drummer wrote $d$ songs and the guitarist wrote $g$ songs?

a)

$g=2d-8$

$g+d=46$

b)

$g=8-2d$

$g=46-d$

c)

$d=2g-8$

$d=46-g$

d)

$d=8-2g$

$d+g=46$

55.

A university will spend $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard will cost $50.

Which equation represents x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab?

a)

$50x+250y=4500$

b)

$250x+50y=4500$

c)

$y=4500-250x$

d)

$x=4500-50y$

56.

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

a)

18 miles

b)

20 miles

c)

22 miles

57.

a)

700

b)

750

c)

800

d)

850

Geometry Pre-Assessment

Total questions: 57

Worksheet time: 2hrs 28mins

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