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ISEE Middle Level Math : Algebraic Concepts

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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 #531 : Algebraic Concepts

$5^{2}*7^{2}=$

Possible Answers:

1225

1275

1250

1200

Correct answer:

1225

Explanation:

First square both numbers:

$5^{2}=25$

$7^{2}=49$

Then multiply those squares together:

25*49=1225

Answer: 1225

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Example Question #532 : Algebraic Concepts

Solve for :

5x=650

Possible Answers:

140

165

130

155

Correct answer:

130

Explanation:

To solve, divide by 5 on each side:

$5x\div 5=650\div 5$

x=130

Answer: 130

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Example Question #533 : Algebraic Concepts

Solve for :

12t=540

Possible Answers:

552

528

Correct answer:

Explanation:

To solve, divide by 12 on each side:

$12t\div 12=540\div 12$

t=45

Answer:

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Example Question #534 : Algebraic Concepts

$\sqrt{144}*\sqrt{81}=$

Possible Answers:

108

111

109

110

Correct answer:

108

Explanation:

First take the square roots:

$\sqrt{144}=12$

$\sqrt{81}=9$

Then multiply:

12*9=108

Answer: 108

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Example Question #535 : Algebraic Concepts

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

Possible Answers:

103

104

105

102

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

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 #2653 : Isee Middle Level (Grades 7 8) Mathematics Achievement

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 #536 : Algebraic Concepts

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 #333 : 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 #537 : Algebraic Concepts

Simplify the expression below:

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

Possible Answers:

4x-1

4x-2

4x+2

x-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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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Algebraic Concepts

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #531 : Algebraic Concepts

Example Question #532 : Algebraic Concepts

Example Question #533 : Algebraic Concepts

Example Question #534 : Algebraic Concepts

Example Question #535 : Algebraic Concepts

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

Example Question #2653 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #536 : Algebraic Concepts

Example Question #333 : How To Find The Solution To An Equation

Example Question #537 : Algebraic Concepts

All ISEE Middle Level Math Resources

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