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Linear Equations, Proportions, and Absolute Value Equations, Exercises of Statistics

Unity Degree College - LucknowStatistics

Practice problems and solutions related to linear equations, proportions, and absolute value equations. It includes simplifying algebraic expressions, solving and checking equations, solving proportions, and solving absolute value equations. The problems cover various levels of complexity and require understanding of algebraic concepts.

Typology: Exercises

2012/2013

Uploaded on 02/11/2013

sabir-ali
sabir-ali 🇮🇳

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bg1
Lesson
LinearEquationsandProportions
Evaluate the al
g
ebraic expression for the
g
iven value(s) of the variable(s).
1) -4x + 2 ; x = -5
2) x2 - 8x ; x = 9
3) x - 8
x - 2; x = -3
4) a2
1 - a2; a = 5
Simplif
y
the al
g
ebraic expression.
5) 6x - 2x
6) 6z + 10 - 2z + 7
7) 8x + 9y + 3 + 2x - 5y + 10
Solve and check the equation.
8) x - 23 = 12
9) x
5 = 15
10) 5x = -15
11) 3x - 7 = 8
12) 7y - 2 = -8 + 5y
13) 5(2y - 4) = 9(y + 2)
14) 3(2x - 9) - 4 = 3(x - 4) + (-1)
15) 0.4(x - 1) = 8
Prestatistics
Docsity.com
pf3
pf4
pf5

Partial preview of the text

Download Linear Equations, Proportions, and Absolute Value Equations and more Exercises Statistics in PDF only on Docsity!

Lesson

Linear Equations and Proportions

Evaluate the algebraic expression for the given value(s) of the variable(s).

1) -4x + 2 ; x = -

2) x2 - 8x ; x = 9

x - 8

x - 2

; x = -

a

1 - a

; a = 5

Simplify the algebraic expression.

5) 6x - 2x

6) 6z + 10 - 2z + 7

7) 8x + 9y + 3 + 2x - 5y + 10

Solve and check the equation.

8) x - 23 = 12

x

10) 5x = -

11) 3x - 7 = 8

12) 7y - 2 = -8 + 5y

13) 5(2y - 4) = 9(y + 2)

14) 3(2x - 9) - 4 = 3(x - 4) + (-1)

15) 0.4(x - 1) = 8

Prestatistics

16) 3x - 6 + {9x - [6(x + 4) - 9]} = 9(x + 3)

Solve and check the equation. Begin your work by rewriting the equation without fractions.

x

x

x

x

Provide an appropriate response.

19) Evaluate x2 - (xy - y) for x satisfying

x

  • 2 =

x

and y satisfying -2y - 12 = 5y + 30.

Solve the proportion.

x

x

y + 6

y + 8

Use a proportion to solve the problem.

23) It takes Emma 26 minutes to type and spell check 6 pages of a manuscript. Find how long it takes

her to type and spell check 33 pages. Round answers to the nearest whole number if necessary.

24) The ratio of a quarterback's completed passes to attempted passes is 2:5. If he attempted 20 passes,

find how many passes he completed. Round to the nearest whole number if necessary.

Indicate whether the equation has no solution or is true for all real numbers. If neither is the case, solve

for the variable.

25) 15x - 3(3 + 5x) = -

26) 3(4x + 2) - 4 = 20x + 2 - 8x

Prestatistics

Absolute Value Equations

Solve the equation.

  1. |x + 8| = 0 A) {8} B) {-8} C) {8, - 8} D) no solution

  2. |x| = - 7 A) {-7} B) {7, - 7} C) {7} D) no solution

  3. 3|x - 3| = 18 A) {3} B) {9, - 3} C) {3, - 9} D) no solution

  4. |8x + 5| = 4 A) {^1 8

} B) {- 1

} C) {- 1

} D) no solution

  1. |8x + 2| + 5 = 9 A) {1, - 3} B) {- 1 4

} C) {^1

} D) no solution

  1. |x| + 6 = 4 A) {2} B) {-2} C) {2, - 2} D) no solution

  2. |x - 1| = 6 A) {-7} B) {-5, 7} C) {5, 7} D) no solution

  3. 2(x + 1) + 6 = 10 A) {-7, 0} B) {-7, 3} C) {-9, 1} D) {-9, 0}

  4. 7x^ +^21 3

A) {6, 0} B) {-6, 0} C) {-6, 6} D) no solution

  1. 11x^ +^44 4

A) {8, 0} B) {-8, 0} C) {-8, 8} D) ∅

Solve the absolute value equation or indicate that the equation has no solution.

  1. 3x + 8 + 9 = 13 A) 4 3

, 4 B) {- 3

} C) - 4, - 4

D) ∅

  1. 3 x - 3 = 18 A) {3} B) {9, - 3} C) {3, - 9} D) ∅

PreStatistics

  1. 3x^ +^6 2

A) {-4, 4} B) {-4, 0} C) {4, 0} D) ∅

  1. 2(x + 1) + 4 = 8 A) {-7, 1} B) {-7, 0} C) {-5, 0} D) {-5, 3}

Find all values of x satisfying the given conditions.

  1. y = x - 3 and y = 5 A) - 8, 2 B) 8 C) - 2, 8 D) No solutions

  2. y = 8x + 4 and y = 5 A)^1 8

B) - 1

C)^1

D) No solutions

Prestatistics