Math Problem Solving Practice Exercise, Exams of Algebra

A collection of math problems for practice, covering various topics such as arithmetic, algebra, and geometry. Students are asked to choose the correct answer for each problem, which involves adding, subtracting, multiplying, dividing, simplifying expressions, finding prime factorization, determining divisibility, and more.

Typology: Exams

Pre 2010

Uploaded on 07/30/2009

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MATO2O3 Frnc t Fx*"n
MULTIPLE cHoIcE. choose the one alternative that best completes
the statenent ot:uEwers the question.
Solve.
1)8+y=27
A)17 B)
35 c)
1e D\21,6
Solve the Problem.
2) Mr. and Mrs. Gutierrez
borrow $9800
to buy a new car.
The
loan is to be paid off in 35 monthly
Payments.
How much is each
paymerrt?
A) $976s B)
$983s c) $28 D) $280
3) A travel agent arranged a payment plan for a client. It required a down payment of $250 and 6
monthly payments of $593. What was the total cost of the plan?
D) $4258
1)
2)
3)
4)
5)
6)
n
8)
e)
A) $41s8
Simplify. .,
4) 9' -3.3
A)77
Find the average.
5) Scores on a math test:
B)
$4308 c) $4408
B) 1,62 c)2u
A) 42
77,42,77,97,42
B) 67 c)e7
Find the prime factorization of the number.
6) 126
A) 14.3 .3 B\
2.3 .7 c)2 "3.3,7
Determine whether the number is divisible by 2, 3, 4, 5, 6,8, 9, and,/or 10'
n p,434
A) 2,3,6 B) 4,5,6 c)
3,4,6
Find the LCM of the set of numbers.
8) 10,2030
A) 20 B) 30
Simprify.
^, 521
e)
_6_
c) 60
c)#
D) 108
D) 66
D) 2.2 .3 .3 .7
D)2,3,4
D) 600
A) 521 B)0
c-1
D) Not defined
pf3
pf4
pf5
pf8
pf9
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MATO2O3 Frnc t^ Fx*"n

MULTIPLE cHoIcE.^ choose the one alternative that best completesthe statenent ot:uEwers the question.

Solve. 1)8+y=

A)17 B) 35^ c) 1e^ D\21,

Solve the Problem.

  1. Mr. and Mrs. Gutierrez borrow $9800to buy a new car.^ The^ loan is to be paid off in 35 monthly Payments.How much is eachpaymerrt?

A) $976s B)^ $983s c) $28^ D) $

  1. A travel agent arranged a payment^ plan for a client. It required^ a down^ payment^ of $250 and 6 monthly payments of $593. What was the total cost of the plan? D) $

n

e)

A) $41s

Simplify. .,

  1. 9' -3. A)

Find the average.

  1. Scores on a math test:

B) $4308 c) $

B) 1,62 c)2u

A) 42

B) 67 c)e

Find the prime^ factorization^ of the number.

  1. 126

A) 14.3 .3^ B\ 2.3 .7^ c)2 "3.3,

Determine whether^ the number^ is divisible^ by 2, 3, 4, 5, 6,8, 9, and,/or 10'

n p,

A) 2,3,6 B)^ 4,5,6^ c) 3,4,

Find the LCM of the set of numbers.

  1. 10, A) 20 B) 30

Simprify.

^, e)6^521

c) 60

c)#

D) 108

D) 66

D) 2.2 .3 .3.
D)2,3,

D) 600

A) 521 B)

D) Not defined

Divide and simPlifY. 10)-

A)+\

Add andsimPlifY.

^)+

Use < or > for n to write a true sentence. .^, L4 _ rLt 64 '5l3-

A)>

Solve and simPlifY.

13)x+

A)= B),. =*^ C) * =;

A)1* B)1#^ c)n+

D)*

D)

^:+

D) 1€

q B)n

D)?'

L'^ ^.20 --:-

'

2

c);

L2)

r4)

B)+

J

B).

Subtracl Write a mixed numeral for the answer'

-l 7* 4

_ c 5-j- 1b

Divide. Write^ a mixed^ numeral^ for the answer. 11 rs)al+2] 'v.!. 15)

?s (^) -.,29 29 ?n

N2# B\1 44 c)lfr^

D)

Solve.Write a mixed numeral for the ;rnswer.

  1. In one city , the averageadult consumes Zf,ounces of chocolateper week-^ How much chocolatedo^ 16)

28 average adults conflrme Per week? t (^) -

n)tToz Vlzf-oz C)^ 115o2^ D)63o

Use the pictograph to answer the qrrestion.

  1. This pictograph shows projected sales of compact disks (CDs) for a popular rock band for seven consecutiveyears. Year CD Sales ,, oooooo ooooooooo oooooooooo ooooo ooooooo ooo

20L

rfi laE

#t

{t v, o ! '! € J z.

Approximately how many CDs will be sold tr.z0ln A) 5000CDs B) 9000CDs C) 600 CDs D) 6 CDs

The bar gaph below shows the number of students by maior in the College of Arts and Sciences. Answer the question.

5AB 450 49E 35tr 3o,E 2,59t eoa 150 I.AA 5B Itlath Historg Engl islr $cience Other. MAJOR

27)How many more students are majoring in math than in science? A) 50 B) 100 (^) c) 1s0 D) 10

2n

O = 1000CDs

Use the circle graph to solve the problem.

  1. A survey of the 3205vehides on the campus of StateUniversity yielded the following^ cirde $aPh. 28)

Convertibles

1ryO/tt lo

Vans -

6o/"

22m 115m

Fickg2s

Hatchbacks

c) 36

c) 143"

A) 1154 B) 2051

Find the missing^ angle measure. 2e)

A) 42"

Find the perimeter^ of the polygon.

B) 37"

19m

2e)

SeUauq-r'

Find the m:mber of hatchbacks. Round your^ result to the nearest whole^ nurnber.

D) eeL

D) 103"

8m

A) B) 102m C)88m D) 98m

Assume that the grven triangles are similar. Provide the missing length. 3s)

'2--'-

f--

l.'1-'

-\

A) 15 B) 20

3s)

36 l

Convert to Fahrenheit. Use the forrrula^ t : *a

  • 32 orF = 1.8C+ 32. Round your answer to the nearest (^) tenth if necessary.
B) 73.2"F
B) 648

c)s

c)167"F

c)

D)e

D) 192.6.F

D) s

36)75"C

A) 1.41*ryF

CompIete. 37)18yd=_ft

A) 1,

Evaluate.

38)+, whenp :^ -42 and,q: -

q

3n

3e)

A) -18 B) 18 c) -21 D)

Determine whether the statement is true or false.

  1. -8> - A) True B) False

Solve the problem. a0) During one year L3new employeesbegan work at Daniel's Manufacturing (^) Company and"l,2 40) employees left. At the beginning of the year there were 395 employees. What was the number (^) of employees at the end of the year? A) 370 employees B) 396 employees C) 408 employees D) 420 employees

Simplify.

41)8+(-18)-(-2)+ 18

A) 10 B)5 c) 42 D) -

Evaluatettre expression for the given value of x.

a) (2x)2,^ x: A) 10O

4r)

B) 50

c) -100 D) -

Collectlike terurs. 43)9q-9 - 4p +3q-2p

A)12q+6p+9 B)9e-5p-12 gtzq-6p-9 D)12q-4p-

Si-plify.

M)-l-731-l-rr-el

A) 33 B) (^) -7 c) -33 D)

Solve the equation using the addition principle.

  1. (^) -25 =z - 15 A) 10 (^) B) -4O c) 40 D) -

Solve using the multiplication principle. 1 46);k= 6

A)

Solve. 47)7r+9=M

B)8 c)e

A) 28 B)32 c)s D)

Evaluate the formula (^) for the grrren values of the variables.

  1. d : rg r = STmiles per hour, t = 6 hours

A) d = 342 miles B) d

  • 584miles^ C) d:53miles^ D) d=f^ *if",

SoIve.

49)a+b:s+r forr

A) r=a +b - s B)r:a+b's's C) r:3+b

Solve the problern. Round to the neareet hundredth, if necessary.

  1. What is 57oof 500? A) 2s (^) B) 2.5 c) 0.2s D) 250
D) 12

D)r=s(a+b)

M\
M)

4n

s0)

For.," L

Answer Key

Testname:0203F

1)C
ID: DEVMATZB1.4.3-
2)D
ID: DEVMAT7BL.5.2-

3)c

ID: DEVMAT7B1..5.2-
4)A
ID: DEVMAT7B1.6.3-

s)B ID: DEMWAT7B1,.6.5- 6)C ID: DEVMATTB 1.7.6-

nA

ID: DEVMAT7B1..8-L- 8)c ID: DEVMAT7B1..9.2-

e)D

ID: DEVMATTB2.1.4-
10)D
ID: DEVMATTB2.2.+
11)A
ID: DEVMAT7B2.3.2-
12)A
ID: DEVMAT7B2.3.7-
13)A
ID: DEVMATTB2.3.8-
14) B
ID: DEVMATTB2.4.G
15)C
ID: DEVMATZB2.4.
16)D
ID: DEVMATZB2.5.8-

lnA

ID: DEVMAVB3.1.9-
18)A
ID: DEVMAT7B3.4.8-

1e)c ID: DEVMATTB3.5-3- 20)c ID: DEVMAT7B3.7.+'1.

  1. C ID: DEVMATTB4.2.2-
  2. A ID: DEVMATTB4.3.3-1, 23)D ID: DEVMATZB4.5.4-

Answer Key Tesbrame:0203F

24)D

ID: DEvrrur-T7B4.6.6- 25)B ID: DEVMAT7B5.L.2-

  1. A ID: DEMVIATTB5.2.2- 24A ID: DEVMATZB5.3.1-
  2. A ID: DEVMATTB5.4.1- 2e)B ID: DEVMATZB6.1..9-1,
  3. A ID: DEVMATZB6.2.7-1. 31)A ID: DEVMATTB6.3.4-L 32)B ID: DEVMATZB6-4-2-
  4. B ID: DEVMATTB6.5.3- 34)B ID: DEVMATZB6.7.2- 3s) A ID: DEVMATZB6.8.2-
  5. C ID: DEVMAT7B16.4.2- 37)D ID: DEVMATB76.1.1,-
  6. D ID: DEVMATZB7.1.2- 3e) B ID: DEVMATZB7.2.5-
  7. B ID DEVMATTB7.3.5-
  8. A ID: DEVMAT7B7.4.4-
  9. A ID: DEVMATTB7.5.4-
  10. C ID: DEVMA'TZB7.7.9- M)C ID: DEWIAT7B7.8.+
  11. D ID: DEVMAT7B8.L.2- 46)D ID: DEVMAT7B8.2.2-

Answer Key Testrame:0203F

4nc ID: DEVMATZB 8.3.1-

  1. A ID: DEVMATZB 8.4.1.- 4e)A ID: DEVMATZB 8.4.2-

s0)A

ID: DEVMATTB 8.5.3-