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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 #535 : Algebraic Concepts

$\sqrt{64}*\sqrt{169}=$

Possible Answers:

102

105

104

103

Correct answer:

104

Explanation:

First, find the square roots:

$\sqrt{64}=8$

$\sqrt{169}=13$

Then multiply those square roots together:

8*13=104

Answer: 104

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Example Question #532 : Algebraic Concepts

If f=4x+1 and x=3 , then what is the value of the expression below?

$3f+9\cdot \frac{4}{3} \right$

Possible Answers:

Correct answer:

Explanation:

If f=4x+1 and x=3 and we need to solve for , the first step is to plug in for . This results in:

$f=4\cdot 3+1$

f=12+1

f=13

Now that we know that f=13 , we can plug in for into the expression below:

$3f+9\cdot \frac{4}{3} \right$

$3\cdot13+\frac{36}{3}$

39+12

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Example Question #331 : How To Find The Solution To An Equation

If plus 4 squared minus two is equal to nine times seven-thirds, what is the value of ?

Possible Answers:

Correct answer:

Explanation:

The first step is to convert the word problem "x plus 4 squared minus two is equal to nine times seven-thirds" into mathematical terms:

$x+4^{2}-2=9\cdot \frac{7}{3}$

This can be reduced to:

$x+16-2=\frac{63}{3}$

x+14=21

Subtract 14 from each side.

x=7

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Example Question #331 : How To Find The Solution To An Equation

What is the value of if one plus the square root of is equal to six minus the product of one-fourth and eight?

Possible Answers:

$\sqrt{3}$

Correct answer:

Explanation:

The first step is to convert the expression "one plus the square root of is equal to six minus the product of one-fourth and eight" into mathematical terms:

$1+\sqrt{y}=6-\frac{1}{4}\cdot8$

This reduces to:

$1+\sqrt{y}=6-2$

$1+\sqrt{y}=4$

$\sqrt{y}=3$

Squaring both sides gives us:

y=9

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Example Question #332 : How To Find The Solution To An Equation

What is the value of in the equation below?

$\frac{5}{w}\div \frac{1}{3}=\frac{4}{7}$

Possible Answers:

$26\frac{1}{4}$

$25\frac{1}{4}$

Correct answer:

$25\frac{1}{4}$

Explanation:

The first step is to solve the first half of the equation by inverting the second fraction and multiplying by the first fraction.

$\frac{5}{w}\div \frac{1}{3}=\frac{4}{7}$

$\frac{5}{w}\cdot \frac{3}{1}=\frac{4}{7}$

$\frac{15}{w}=\frac{4}{7}$

Multiply each side by .

$15=\frac{4w}{7}$

Multiply each side by .

105=4w

Divide each side by .

$\frac{105}{4}=w$

This reduces to:

$w=25\frac{1}{4}$

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Example Question #2651 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Simplify the expression below:

$4(x-3)+5*(4\div 2)$

Possible Answers:

4x-1

x-2

4x-2

4x+2

Correct answer:

4x-2

Explanation:

$4(x-3)+5*(4\div 2)$

The first step is to apply the distributive property and solve for the expression in parentheses.

4x-12+5* (2)

4x-12+10

4x-2

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Example Question #541 : Algebraic Concepts

What is the value of a in the equation below?

4a-12=3a+36

Possible Answers:

Correct answer:

Explanation:

To solve for 4a-12=3a+36 , the first step is to add to each side.

4a=3a+48

Next, is subtracted from each side. This leaves a=48

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Example Question #2652 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the value of in this equation?

$5x^{2}=45$

Possible Answers:

Correct answer:

Explanation:

The first step is to divide each side of the equation by 5.

$5x^{2}=45$

$x^{2}=9$

Next, we take the square root of each side. This results in x=3 .

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Example Question #543 : Algebraic Concepts

Solve for in the equation:

5(x+4)=1

Possible Answers:

$\frac{19}{5}$

$-\frac{19}{5}$

$-\frac{5}{19}$

Correct answer:

$-\frac{19}{5}$

Explanation:

5(x+4)=1

First, apply the distributive property.

5x+20=1

Next, subtract 20 from each side.

5x=-19

Now, divide each side by 5.

$X = -\frac{19}{5}$

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Example Question #331 : How To Find The Solution To An Equation

Solve the following equation for :

2x-18=4

Possible Answers:

x=-5

x=-7

x=2

x=11

Correct answer:

x=11

Explanation:

To solve for a particular variable in an equation, all other constants need to be moved to one side leaving the variable alone on the other side. To do this, perform inverse operations to manipulate the equation.

To solve for , simply isolate it by adding 18 to both sides and then dividing by two.

Thus,

2x-18+18=4+18

2x=22

$\frac{2x}{2}=\frac{22}{2}$

x=11

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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 #535 : Algebraic Concepts

Example Question #532 : Algebraic Concepts

Example Question #331 : How To Find The Solution To An Equation

Example Question #331 : How To Find The Solution To An Equation

Example Question #332 : How To Find The Solution To An Equation

Example Question #2651 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #541 : Algebraic Concepts

Example Question #2652 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #543 : Algebraic Concepts

Example Question #331 : How To Find The Solution To An Equation

All ISEE Middle Level Math Resources

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