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ISEE Middle Level Math : Equations

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All ISEE Middle Level Math Resources

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Example Questions

Example Question #2673 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve the equation:

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

Possible Answers:

143 $\displaystyle 143$

141 $\displaystyle 141$

145 $\displaystyle 145$

140 $\displaystyle 140$

Correct answer:

141 $\displaystyle 141$

Explanation:

To solve, first find the exponents:

$4^{2}=16$ $\displaystyle 4^{2}=16$

$5^{3}=125$ $\displaystyle 5^{3}=125$

Then solve the equation: $\displaystyle 16+125=141$

Answer: 141 $\displaystyle 141$

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Example Question #2674 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve the equation:

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

Possible Answers:

152 $\displaystyle 152$

$\displaystyle 64$

276 $\displaystyle 276$

216 $\displaystyle 216$

Correct answer:

152 $\displaystyle 152$

Explanation:

To solve, first find the exponents:

$6^{3}=216$ $\displaystyle 6^{3}=216$

$4^{3}=64$ $\displaystyle 4^{3}=64$

Then solve the equation: $\displaystyle 216-64=152$

Answer: 152 $\displaystyle 152$

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Example Question #2675 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for x in the following equation:

x-4=5 $\displaystyle x-4=5$

Possible Answers:

x=4 $\displaystyle x=4$

x=54 $\displaystyle x=54$

x=5 $\displaystyle x=5$

x=9 $\displaystyle x=9$

x=3 $\displaystyle x=3$

Correct answer:

x=9 $\displaystyle x=9$

Explanation:

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

x-4=5 $\displaystyle x-4=5$

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,

$\displaystyle x-4+4=5+4$

x+0=9 $\displaystyle x+0=9$

x=9 $\displaystyle x=9$

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Example Question #2675 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for $\displaystyle n$ :

45n=225 $\displaystyle 45n=225$

Possible Answers:

$\displaystyle 50$

$\displaystyle 6$

$\displaystyle 5$

$\displaystyle 45$

$\displaystyle 15$

Correct answer:

$\displaystyle 5$

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 $\displaystyle 45n=225$

Divide each side of the equation by $\displaystyle 45$ :

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

Solve.

n=5 $\displaystyle n=5$

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Example Question #2676 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for t:

22t=352 $\displaystyle 22t=352$

Possible Answers:

$\displaystyle 15$

$\displaystyle 16$

374 $\displaystyle 374$

330 $\displaystyle 330$

Correct answer:

$\displaystyle 16$

Explanation:

To solve, divide both sides by 22:

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

t=16 $\displaystyle t=16$

Answer: $\displaystyle 16$

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Example Question #2677 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for b:

35b=525 $\displaystyle 35b=525$

Possible Answers:

$\displaystyle 15$

560 $\displaystyle 560$

490 $\displaystyle 490$

$\displaystyle 14$

Correct answer:

$\displaystyle 15$

Explanation:

To solve, divide each side by 35:

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

b=15 $\displaystyle b=15$

Answer: $\displaystyle 15$

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Example Question #2678 : Isee Middle Level (Grades 7 8) Mathematics Achievement

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

Possible Answers:

$\displaystyle 9$

$\displaystyle 16$

$\displaystyle 6$

$\displaystyle 3$

Correct answer:

$\displaystyle 9$

Explanation:

To solve, find solve the exponents:

$12^{2}=144$ $\displaystyle 12^{2}=144$

$4^{2}=16$ $\displaystyle 4^{2}=16$

Then solve: $144\div 16=9$ $\displaystyle 144\div 16=9$

Answer: $\displaystyle 9$

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Example Question #2679 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve:

$10^{3}\div 40=$ $\displaystyle 10^{3}\div 40=$

Possible Answers:

$\displaystyle 40$

$\displaystyle 25$

960 $\displaystyle 960$

1040 $\displaystyle 1040$

Correct answer:

$\displaystyle 25$

Explanation:

To solve, first solve the exponents:

$10^{3}=1000$ $\displaystyle 10^{3}=1000$

Then solve,

$1000\div 40=25$ $\displaystyle 1000\div 40=25$

Answer: $\displaystyle 25$

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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 $\displaystyle 43$ years old. In how many years will Mark be twice as old as Brian?

Possible Answers:

$\displaystyle 17$

$\displaystyle 22$

$\displaystyle 13$

$\displaystyle 11$

$\displaystyle 20$

Correct answer:

$\displaystyle 11$

Explanation:

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

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

$\displaystyle 2 (N + 11) = N + 33$

$\displaystyle 2N + 22 = N + 33$

$\displaystyle 2N + 22-N - 22 = N + 33 -N - 22$

N = 11 $\displaystyle N = 11$

Mark will be twice Brian's age in $\displaystyle 11$ years.

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Example Question #1 : Word Problems

Gary is twice as old as his niece Candy. How old will Candy will be in five years when Gary is $\displaystyle 37$ years old?

Possible Answers:

Not enough information is given to determine the answer.

$\displaystyle 21$

$\displaystyle 24$

$\displaystyle 14$

$\displaystyle 16$

Correct answer:

$\displaystyle 21$

Explanation:

Since Gary will be 37 in five years, he is $\displaystyle 37 - 5 = 32$ years old now. He is twice as old as Cathy, so she is $32 \div 2 =16$ $\displaystyle 32 \div 2 =16$ years old, and in five years, she will be $\displaystyle 16 + 5 = 21$ 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 #2673 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #2674 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #2675 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #2675 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #2676 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #2677 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #2678 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #2679 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1 : Word Problems

Example Question #1 : Word Problems

All ISEE Middle Level Math Resources

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