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ISEE Lower Level Math : How to find the solution to an equation

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

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All ISEE Lower Level Math Resources

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Example Questions

Example Question #51 : How To Find The Solution To An Equation

Find the difference.

4200 - 425=

Possible Answers:

3775

3770

3675

2775

4625

Correct answer:

3775

Explanation:

When substracting 4200 and 425 , a trick is to pretend that the numbers are actually 4200 and 400. You can save the for the end.

4200-400 = 3800.

Apply the that you were saving from the beginning.

3800-25=3775

This gives you 3775 .

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Example Question #51 : How To Find The Solution To An Equation

If $(\blacklozenge \times 3 ) + 60 = 84$ , what number does $\blacklozenge$ stand for?

Possible Answers:

Correct answer:

Explanation:

While $\blacklozenge$ is an unfamiliar symbol, just remember that any odd symbols are the equivalent of an unknown variable like or .

To solve this problem, the fastest approach is to plug the various answer choices in as $\blacklozenge$ .

When plugging in , this is what happens:

$(\blacklozenge \times 3 ) + 60 = 84$

$(8 \times 3) + 60=84$

24 + 60=84

84=84

The number is the solution to the equation, so is the correct answer. Plugging in any other number will result in a false result.

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Example Question #53 : How To Find The Solution To An Equation

Leila ordered pizzas. Each pizza has slices. If represents the total slices of pizza, which equation would reflect how many slices of pizza Leila ordered?

Possible Answers:

$48 = 6P \times 8$

$P = 6 \times 8$

$P=7\times8$

$6 \times P = 8$

$8\div P=6$

Correct answer:

$P = 6 \times 8$

Explanation:

This is essentially a multiplication-based word problem. If Leila ordered pizzas and each pizza has slices, then to determine the total number of pizza slices, it would be best to multiply $6 \cdot 8$ . This results in , the total slices of pizza.

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Example Question #54 : How To Find The Solution To An Equation

What is the value of the expression $(9 - 3 \times 2) +7$ ?

Possible Answers:

Correct answer:

Explanation:

This question will require the use of order of operations: PEMDAS (parentheses, exponents, multiply, divide, add, subtract).

When dealing with parentheses, multiplication, subtraction and addition, it is important to first address the parentheses.

$(9 - 3 \times 2)+7$

Looking at this part of the expression, multiplication is carried out first.

(9 - 6)+7

Finally, subtract within the parentheses. The value of the parenthetical expression is .

(3)+7

Next, the addition is carried out:

3 +7=10

This results in , the correct answer.

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Example Question #55 : How To Find The Solution To An Equation

Solve for :

9q=189

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by :

$9q\div 9=189\div 9$

q=21

Answer:

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Example Question #56 : How To Find The Solution To An Equation

Solve for :

14s=182

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by :

$14s\div 14=182\div 14$

s=13

Answer:

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Example Question #57 : How To Find The Solution To An Equation

Solve for :

19k=209

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by :

$19k\div 19=209\div 19$

k=11

Answer:

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Example Question #58 : How To Find The Solution To An Equation

Solve for :

15r=225

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by :

$15r\div 15=225\div 15$

r=15

Answer:

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Example Question #59 : How To Find The Solution To An Equation

What is the value of in the equation below?

5y=25

Possible Answers:

Correct answer:

Explanation:

To solve, you will need to divide both sides of the equation by 5.

5y=25

$\frac{5y}{5}=\frac{25}{5}$

The 5 cancels on the left side.

$y=\frac{25}{5}$

Divide to simplify.

y=5

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Example Question #51 : How To Find The Solution To An Equation

Brian brought a box of 50 chocolates to class. The teacher did not eat any of the chocolate, but his friends ate a total of 12 pieces. How many pieces of chocolate remain uneaten?

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

This question gives extra information about the teacher that is not necessary to solve the problem.

We know that there are originally 50 pieces of chocolate, and that 12 pieces are eaten. Subtract to find the remaining amount of chocolate.

50-12=38

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ISEE Lower Level Math : How to find the solution to an equation

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #51 : How To Find The Solution To An Equation

Example Question #51 : How To Find The Solution To An Equation

Example Question #53 : How To Find The Solution To An Equation

Example Question #54 : How To Find The Solution To An Equation

Example Question #55 : How To Find The Solution To An Equation

Example Question #56 : How To Find The Solution To An Equation

Example Question #57 : How To Find The Solution To An Equation

Example Question #58 : How To Find The Solution To An Equation

Example Question #59 : How To Find The Solution To An Equation

Example Question #51 : How To Find The Solution To An Equation

All ISEE Lower Level Math Resources

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