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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

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Example Questions

Example Question #541 : Algebraic Concepts

Solve the following equations when y=5 .

y=2x-3

Possible Answers:

Correct answer:

Explanation:

The first step to solve this equation is to plug in your know variable with the value given, .

Now you have an expression that reads 5=2x-3 and we now solve for .

First you must move the constant by adding to both sides resulting in,

8=2x .

The last step is to divide both sides by resulting in,

x=4 .

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Example Question #542 : Algebraic Concepts

Solve for when x=6 :

$y=\frac{x}{2}+7$

Possible Answers:

Correct answer:

Explanation:

The first is to plug in the value given in the problem leaving us with,

$y=\frac{6}{2}+7$ .

The next step is to complete the division which is

$6\div2=3$ .

Then you add the constant and that gives you an answer of,

3+7=10 .

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Example Question #543 : Algebraic Concepts

Solve for :

9x + 2.3 =-10.3

Possible Answers:

x = -1.4

x = 1.4

x = 12.6

x = -12.6

Correct answer:

x = -1.4

Explanation:

This is a two-step equation. The first step is to isolate the variable. Subtract 2.3 from both sides of the equation:

9x +2.3 -2.3 = -10.3 - 2.3

9x = -12.6

Divide both sides of the equation by the coefficient which is 9:

x = -1.4

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Example Question #544 : Algebraic Concepts

$\frac{1}{2}x + 3 = 5$

Possible Answers:

x = 0

x = 5

x = 4

x = 8

Correct answer:

x = 4

Explanation:

To isolate the variable, subtract 3 from both sides of the equation:

$\frac{1}{2}x + 3-3 = 5-3$

$\frac{1}{2}x = 2$

Multiply both sides of the equation by the reciprocal of $\frac{1}{2}$ which is $\frac{2}{1}$

$\frac{1}{2}\times(\frac2{}{1}) = 2 \times \frac{2}{1}$

$x = \frac{4}{1}$

x = 4

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Example Question #551 : Algebraic Concepts

Find the solution to the following equation when t=6 .

y=2t^2-6t-36

Possible Answers:

Correct answer:

Explanation:

Find the solution to the following equation when t=6 .

y=2t^2-6t-36

To solve this equation, we should plug in 6 wherever there is a t, and simplify.

y=2(6)^2-6(6)-36=72-36-36=0

So, our answer when t=6 is 0.

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Example Question #552 : Algebraic Concepts

Find b when f=6 , and c=4

b=3f^3-4c^4 .

Possible Answers:

b=16

b=487

b=-376

b=376

Correct answer:

b=-376

Explanation:

Find b when f=6 , and c=4

b=3f^3-4c^4

To find b, we want to plug in f and c and simplify:

b=3(6)^3-4(4)^4=3(216)-1024

3(216)-1024=648-1024=-376

So our answer is

b=-376

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Example Question #553 : Algebraic Concepts

Solve: $11^{2}-4^{3}$

Possible Answers:

185

121

Correct answer:

Explanation:

To solve, first solve the exponents:

$11^{2}=121$

$4^{3}=64$

Then solve the equation: 121-64=57

Answer:

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Example Question #554 : Algebraic Concepts

Solve: $5^{3}*2^{3}$

Possible Answers:

131

1000

117

100

Correct answer:

1000

Explanation:

To solve, first solve the exponents:

$5^{3}=125$

$2^{3}=8$

Then solve the equation: 125*8=1000

Answer: 1000

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Example Question #555 : Algebraic Concepts

Solve for :

13t=169

Possible Answers:

182

156

Correct answer:

Explanation:

To solve, divide each side by 13:

$13t\div 13=169\div 13$

t=13

Answer:

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Example Question #556 : Algebraic Concepts

Solve for :

44m=308

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by :

$44m\div 44=308\div 44$

m=7

Answer:

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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 #541 : Algebraic Concepts

Example Question #542 : Algebraic Concepts

Example Question #543 : Algebraic Concepts

Example Question #544 : Algebraic Concepts

Example Question #551 : Algebraic Concepts

Example Question #552 : Algebraic Concepts

Example Question #553 : Algebraic Concepts

Example Question #554 : Algebraic Concepts

Example Question #555 : Algebraic Concepts

Example Question #556 : Algebraic Concepts

All ISEE Middle Level Math Resources

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