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Intermediate Algebra Problems and Solutions, Exams of Algebra

A collection of intermediate algebra problems with steps to simplify expressions, solve equations, and inequalities. It covers topics such as simplifying expressions, solving linear equations, and graphing solutions.

Typology: Exams

2012/2013

Uploaded on 01/07/2013

javed
javed 🇮🇳

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38 documents

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Intermediate Algebra
Name ___________________
1. Simplify.
yxyx 5)2(24
2. Simplify.
7
3
3
1
5
2xx
3. Simplify.
472)32(95 yxxyx
4. Simplify.
142.0)80(1.0 xx
5. Solve for
x
.
1)4(5)3(72 xxx
6. Solve for
x
.
7. Solve for
x
.
8. Solve for
x
.
)26(3.07.01.04.0 xx
9. Solve for
x
.
3 1 2
4 2 3
xx
10. Solve for
x
.
)82(
3
1
)43(
5
1 xx
)8(242 xx
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pf3
pf4
pf5

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Download Intermediate Algebra Problems and Solutions and more Exams Algebra in PDF only on Docsity!

Intermediate Algebra

Name ___________________

  1. Simplify.

4  2 ( x  2 y ) x  5 y

  1. Simplify.

 

  

    7

3

3

1

5

2 x x

  1. Simplify.

5 x  9 y ( 2 x  3 ) 2 x  7 y  4

  1. Simplify.
    1. 1 ( x  80 ) 0. 2 x  14

5. Solve for x.

 2 x  7 ( x  3 ) 5 ( x  4 ) 1

6. Solve for x.

5 x  4 ( 3  2 x ) 3 ( 1  x )

7. Solve for x. 8. Solve for x.

0. 4 x  0. 1  0. 7  0. 3 ( 6  2 x )

9. Solve for x.

x   x

10. Solve for x.

x   x 

 2 x  4  2 ( x  8 )

  1. Solve for x.

x  x

  1. Solve for y.

y

y

y y 

13. Solve (^4 )

y ^3  x  for y , in y  mx  b

form.

  1. Solve for y , in ymxb

form.

15. Solve P  2 l  2 w for w.

16. Solve ( )

A^  hb  B for b.

  1. Given the perimeter formula for a rectangle,

find P , when l ^2.^5 and w ^3.^7

P  2 l  2 w

  1. Given the perimeter formula for a rectangle,

find l , when P ^30 and w ^6.

P  2 l  2 w

  1. Find the volume of the sphere by

using the formula. Use 3.14 as an

approximation for .

3

V   r ; r  6

20. Given the area formula for a trapezoid, find h ,

when A  16. 5 , b 1  4 , and b 2  7

Ahb 1  b 2

 4 x  16 y  32

  1. After a 20% price reduction, a cordless phone sold for $48. What was the phone’s price before the

reduction?

  1. A salesperson earns $300 per week plus 5% commission of sales. How much must be sold to earn $800 in

a week?

  1. In a new development, 50 one- and two-bedroom condominiums were sold. Each one-bedroom

condominium sold for $120 thousand and each two-bedroom condominium sold for $150 thousand. If sales totaled $7050 thousand, how many of each type of unit was sold?

  1. A chemist needs to mix a solution that is 34% silver nitrate with one that is 4% silver nitrate to obtain 100

milliliters of a mixture that is 7% silver nitrate. How many milliliters of each of the solutions must be

used?

  1. At a college production of Evita , 400 tickets were sold. The ticket prices were $8, $10, and $12, and the

total income from ticket sales was $3700. How many tickets of each type were sold if the combined

number of $8 and $10 tickets sold was 7 times the number of $12 tickets sold?

  1. Company A charges $750 plus $20 for each widget. Company B charges $900 plus $12.50 for each

widget. How many widgets would it take for both companies to cost the same?

  1. How many ounces of 20% and 90% alcohol should you mix together to obtain 14 ounces of 40%

alcohol?

  1. If French roast coffee sells for $7.50 per pound and vanilla hazelnut coffee sells for $11.50 per pound,

how many pounds of vanilla hazelnut should you mix with 12 pounds of French roast to get a blend that

is sold for $10 per pound?

  1. Say you were famous and the paparazzi were chasing you. You’re running 12 miles an hour, and

they’re running 10 miles an hour. You get to your house, and they are 1 mile behind. How long did it

take to get home?

Rate Time Distance

You

Paparazzi

  1. Solve the inequality, express your answer in interval notation, and graph the solution.

2 x  1  3 and 3 x  2  1

  1. Solve the inequality, express your answer in interval notation, and graph the solution.

14  3 x  5  20

  1. Solve and express your answer in interval notation.

a) |x + 2| + 9  16 b) |x – 2| + 4  5

c)

2x 2 2 4

  d)

3x 3 1 9

 

  1. Solve the following.

a) |2y – 6| = |10 – 2y| b) |4y + 3| = |4y + 5|

c) |x – 3| < -2 d) |x + 4| > -