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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

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Example Question #335 : How To Find The Solution To An Equation

Solve the following equation:

$\frac{1}{4}x+\frac{3}{4}=\frac{9}{4}$

Possible Answers:

Correct answer:

Explanation:

To solve the equation, you must get by itself on one side of the equation.

The first step would be to eliminate the constant $\frac{3}{4}$ which can be done by subtracting it from both sides.

This would result in

$\frac{9}{4}-\frac{3}{4}=\frac{6}{4}$

$\frac{1}{4}x=\frac{6}{4}$ .

Then we must get rid of the $\frac{1}{4}$ so you must undue the multiplication by division on both sides.

$\frac{6}{4}\div \frac{1}{4} or \frac{6}{4}*\frac{4}{1}= 6$

so the final answer is x=6 .

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Example Question #336 : How To Find The Solution To An Equation

Find g, if a,b, and c are all equal to 2

$\frac{1}{g}=\frac{3}{a}+\frac{2}{b}-\frac{4}{c^2}$

Possible Answers:

$g=\frac{3}{2}$

g=0

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

$g=\frac{2}{3}$

Correct answer:

$g=\frac{2}{3}$

Explanation:

Find g, if a,b, and c are all equal to 2

$\frac{1}{g}=\frac{3}{a}+\frac{2}{b}-\frac{4}{c^2}$

To solve this equation, first plug in 2 for each variable:

$\frac{1}{g}=\frac{3}{2}+\frac{2}{2}-\frac{4}{2^2}$

Next, simplify the equation:

$\frac{1}{g}=\frac{5}{2}-\frac{4}{4}=2\frac{1}{2}-1=1\frac{1}{2}$

So, we get:

$\frac{1}{g}=1\frac{1}{2}=\frac{3}{2}$

Next, take the reciprocal of both sides to get our answer:

$g=\frac{2}{3}$

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Example Question #547 : 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 #541 : 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 #549 : Algebraic Concepts

Solve for :

9x + 2.3 =-10.3

Possible Answers:

x = -1.4

x = -12.6

x = 1.4

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 #550 : Algebraic Concepts

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

Possible Answers:

x = 5

x = 4

x = 0

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 #2661 : Isee Middle Level (Grades 7 8) Mathematics Achievement

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 #341 : How To Find The Solution To An Equation

Find b when f=6 , and c=4

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

Possible Answers:

b=16

b=-376

b=376

b=487

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 #551 : Algebraic Concepts

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

Possible Answers:

121

185

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 #552 : Algebraic Concepts

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

Possible Answers:

100

131

1000

117

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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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #335 : How To Find The Solution To An Equation

Example Question #336 : How To Find The Solution To An Equation

Example Question #547 : Algebraic Concepts

Example Question #541 : Algebraic Concepts

Example Question #549 : Algebraic Concepts

Example Question #550 : Algebraic Concepts

Example Question #2661 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #341 : How To Find The Solution To An Equation

Example Question #551 : Algebraic Concepts

Example Question #552 : Algebraic Concepts

All ISEE Middle Level Math Resources

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