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ISEE Middle Level Math : How to find the solution to an equation

Study concepts, example questions & explanations for ISEE Middle Level Math

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #101 : Equations

Give the solution set of the inequality:

4t + 9 < 35

Possible Answers:

$t < 7 \frac{1}{2}$

t < 11

$t < 6 \frac{1}{2}$

t < 13

Correct answer:

$t < 6 \frac{1}{2}$

Explanation:

4t + 9 < 35

4t + 9 -9 < 35-9

4t < 26

$4t \div 4 < 26 \div 4$

$t < 6 \frac{2}{4}$

$t < 6 \frac{1}{2}$

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Example Question #101 : Equations

f(x) = 50 - 4x

Evaluate f (10.5 )

Possible Answers:

Correct answer:

Explanation:

f(x) = 50 - 4x

$f(10.5) = 50 - 4 \cdot 10.5 = 50 - 42 = 8$

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Example Question #2422 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Define $f (x) = \frac{1}{2} x - 7$

Evaluate: f (12)

Possible Answers:

$2 \frac{1}{2}$

$6 \frac{1}{2}$

Correct answer:

Explanation:

$f (x) = \frac{1}{2} x - 7$

$f (12) = \frac{1}{2} \cdot 12 - 7$

f (12) =6- 7

f (12) =-1

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Example Question #901 : Concepts

Define $g (x) =\left ( x -6 \right )^{2}$

Evaluate g(8.7)

Possible Answers:

7.29

2.89

9.61

13.69

Correct answer:

7.29

Explanation:

$g (x) =\left ( x -6 \right )^{2}$

$g (8.7 ) =\left (8.7 -6 \right )^{2}$

$g (8.7 ) =2.7 ^{2}$

$g (8.7 ) =2.7 \cdot 2.7$

g (8.7 ) =7.29

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Example Question #102 : How To Find The Solution To An Equation

Solve for :

0.7t + 0.23 = 0.3 t - 3.21

Possible Answers:

t = - 8.6

t = - 3.44

t = -2.98

t = -7.45

Correct answer:

t = - 8.6

Explanation:

0.7t + 0.23 = 0.3 t - 3.21

0.7t + 0.23 - 0.3t = 0.3 t - 3.21 - 0.3t

0.4t + 0.23 = - 3.21

0.4t + 0.23- 0.23 = - 3.21 - 0.23

0.4t = - 3.44

$0.4t \div 0.4 = - 3.44 \div 0.4$

$t = - 3.44 \div 0.4$

Move each decimal point one digit right:

$t = - 34.4 \div 4 = - 8.6$

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Example Question #111 : Problem Solving

Let be the temperature expressed in degrees Celsius. Then the equivalent temperature in degrees Fahrenheit can be calculated using the formula:

$F = \frac{9}{5} C + 32$

What is $65^{\circ } C$ expressed in degrees Fahrenheit?

Possible Answers:

$174.6^{\circ } F$

$85 ^{\circ } F$

$59.4^{\circ } F$

$149 ^{\circ } F$

Correct answer:

$149 ^{\circ } F$

Explanation:

$F = \frac{9}{5} C + 32$

$F = \frac{9}{5} \cdot 65 + 32 = 117+32 = 149 ^{\circ } F$

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Example Question #1504 : Hspt Mathematics

Solve for :

4 t - 1.9 = 8.3

Possible Answers:

t = 1.6

t = 0.16

t = 0.255

t = 2.55

Correct answer:

t = 2.55

Explanation:

4 t - 1.9 = 8.3

4 t - 1.9 + 1.9 = 8.3 + 1.9

4 t = 10.2

$4 t \div 4= 10.2 \div 4$

t = 2.55

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Example Question #1505 : Hspt Mathematics

Solve for :

$\frac{4}{5} d > - \frac{7}{10}$

Possible Answers:

$d < - \frac{14}{25}$

$d > - \frac{7}{8}$

$d > - \frac{14}{25}$

$d < - \frac{7}{8}$

Correct answer:

$d > - \frac{7}{8}$

Explanation:

$\frac{4}{5} d > - \frac{7}{10}$

$\frac{5}{4} \cdot \frac{4}{5} d >\frac{5}{4} \cdot \left ( - \frac{7}{10} \right )$

$d > - \left (\frac{5}{4} \cdot \frac{7}{10} \right )$

$d > - \left (\frac{1}{4} \cdot \frac{7}{2} \right )$

$d > - \frac{7}{8}$

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Example Question #102 : Equations

$f (x) = x^{2} + 4x - 10$

Evaluate: f (-3)

Possible Answers:

Correct answer:

Explanation:

$f (x) = x^{2} + 4x - 10$

$f (-3) = (-3)^{2} + 4(-3) - 10$

f (-3) =9-12 - 10

f (-3) =-13

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Example Question #14 : Algebra

Let be the temperature expressed in degrees Fahrenheit. Then the equivalent temperature in degrees Celsius can be calculated using the formula:

$C = \frac{5}{9} (F-32)$

What is $80^{\circ } F$ expressed in degrees Celsius (to the nearest degree)?

Possible Answers:

$12^{\circ } C$

$112^{\circ } C$

$27^{\circ } C$

$87^{\circ } C$

Correct answer:

$27^{\circ } C$

Explanation:

$C = \frac{5}{9} (F-32)$

$C = \frac{5}{9} (80-32)$

$C = \frac{5}{9} \cdot 48 \approx 26.7$ , which rounds to $27^{\circ } C$

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Middle Level Math : How to find the solution to an equation

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #101 : Equations

Example Question #101 : Equations

Example Question #2422 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #901 : Concepts

Example Question #102 : How To Find The Solution To An Equation

Example Question #111 : Problem Solving

Example Question #1504 : Hspt Mathematics

Example Question #1505 : Hspt Mathematics

Example Question #102 : Equations

Example Question #14 : Algebra

All ISEE Middle Level Math Resources

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