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ISEE Middle Level Math : Equations

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 #555 : Algebraic Concepts

Solve the equation:

$4^{2}+5^{3}$

Possible Answers:

140

145

143

141

Correct answer:

141

Explanation:

To solve, first find the exponents:

$4^{2}=16$

$5^{3}=125$

Then solve the equation: 16+125=141

Answer: 141

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Example Question #556 : Algebraic Concepts

Solve the equation:

$6^{3}-4^{3}$

Possible Answers:

276

216

152

Correct answer:

152

Explanation:

To solve, first find the exponents:

$6^{3}=216$

$4^{3}=64$

Then solve the equation: 216-64=152

Answer: 152

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Example Question #353 : How To Find The Solution To An Equation

Solve for x in the following equation:

x-4=5

Possible Answers:

x=3

x=4

x=5

x=54

x=9

Correct answer:

x=9

Explanation:

To solve for x, we want to get x to stand alone or be by itself. So in the equation

x-4=5

we want x to be alone. To do that, we must cancel out the -4 with it. To cancel -4, we must add 4. If we add 4 to the left side of the equal sign, we must add 4 to the right side. So,

x-4+4=5+4

x+0=9

x=9

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Example Question #354 : How To Find The Solution To An Equation

Solve for :

45n=225

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation we need to isolate the variable to one side. Do not forget to perform the same operation on both sides of the equation.

45n=225

Divide each side of the equation by :

$\frac{45n}{45}=\frac{225}{45}$

Solve.

n=5

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Example Question #351 : Equations

Solve for t:

22t=352

Possible Answers:

374

330

Correct answer:

Explanation:

To solve, divide both sides by 22:

$22t\div 22=352\div 22$

t=16

Answer:

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Example Question #352 : Equations

Solve for b:

35b=525

Possible Answers:

490

560

Correct answer:

Explanation:

To solve, divide each side by 35:

$35b\div 35=525\div 35$

b=15

Answer:

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Example Question #353 : Equations

Solve: $12^{2}\div 4^{2}=$

Possible Answers:

Correct answer:

Explanation:

To solve, find solve the exponents:

$12^{2}=144$

$4^{2}=16$

Then solve: $144\div 16=9$

Answer:

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Example Question #354 : Equations

Solve:

$10^{3}\div 40=$

Possible Answers:

960

1040

Correct answer:

Explanation:

To solve, first solve the exponents:

$10^{3}=1000$

Then solve,

$1000\div 40=25$

Answer:

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Example Question #1 : Word Problems

Mark is three times as old as his son Brian. In ten years, Mark will be years old. In how many years will Mark be twice as old as Brian?

Possible Answers:

Correct answer:

Explanation:

In ten years, Mark will be years old, so Mark is 43-10 = 33 years old now, and Brian is one-third of this, or $33 \div 3 = 11$ years old.

Let be the number of years in which Mark will be twice Brian's age. Then Brian will be N + 11 , and Mark will be N + 33 . Since Mark will be twice Brian's age, we can set up and solve the equation:

2 (N + 11) = N + 33

2N + 22 = N + 33

2N + 22-N - 22 = N + 33 -N - 22

N = 11

Mark will be twice Brian's age in years.

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Example Question #1 : Solving Systems Of Equations In Word Problems

Gary is twice as old as his niece Candy. How old will Candy will be in five years when Gary is years old?

Possible Answers:

Not enough information is given to determine the answer.

Correct answer:

Explanation:

Since Gary will be 37 in five years, he is 37 - 5 = 32 years old now. He is twice as old as Cathy, so she is $32 \div 2 =16$ years old, and in five years, she will be 16 + 5 = 21 years old.

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ISEE Middle Level Math : Equations

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #555 : Algebraic Concepts

Example Question #556 : Algebraic Concepts

Example Question #353 : How To Find The Solution To An Equation

Example Question #354 : How To Find The Solution To An Equation

Example Question #351 : Equations

Example Question #352 : Equations

Example Question #353 : Equations

Example Question #354 : Equations

Example Question #1 : Word Problems

Example Question #1 : Solving Systems Of Equations In Word Problems

All ISEE Middle Level Math Resources

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