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SSAT Middle Level Math : How to find the solution to an equation

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

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All SSAT Middle Level Math Resources

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Example Questions

Example Question #11 : Ssat Middle Level Quantitative (Math)

The difference between 30 and the product of 5 and 3 is

Possible Answers:

Correct answer:

Explanation:

Order of operations says to multiply 5 and 3 first. Thus we are looking for the difference between and $\left (3\times 5\right)$ or and .

30-15=15

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Example Question #58 : Word Problems

Sarah borrowed 48 books in the last six months. She returned half of them and then borrowed 9 more. How many books does she have now?

Possible Answers:

Correct answer:

Explanation:

If Sarah borrowed 48 books and returned half of them, she now has

$\frac{48}{2}=24\ books$

If she then borrowed 9 more, she added 9 to the 24 she had so now she has 33.

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Example Question #12 : Ssat Middle Level Quantitative (Math)

If eight times a whole number is greater than 250 but less than 300, then the number could be

Possible Answers:

Correct answer:

Explanation:

One strategy for this problem is to multiply each of the answer choices by 8 and see which product falls between 250 and 300. $31 \cdot 8 = 248$ so 31 is too low.

Thus 30 and 28 are too low as well (240 and 224, respectively).

$38 \cdot 8 = 304$ which is too high.

Thus 35 is the answer (280).

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Example Question #59 : Word Problems

Elaine wants to give 2 slices of pizza to each of the 14 children invited to a birthday party. How many pizzas should she buy if each pizza has 8 slices?

Possible Answers:

Correct answer:

Explanation:

If Elaine wants to give 2 slices of pizza to 14 children, then she needs 2 * 14 slices of pizza or 28 slices. 28 slices divided by the number of slice per pizza (8) will give you how many pizzas she needs.

$28\div 8 = 3.5$ .

In order to ensure she has enough pizza, she needs to round up so she needs to order 4 pizzas.

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Example Question #13 : Ssat Middle Level Quantitative (Math)

When a number is doubled and the result decreased by 7, the number obtained is 11. What is the original number?

Possible Answers:

Correct answer:

Explanation:

Let's call the number . So the number that is doubled is which then becomes .

That result $\left(2x\right)$ , is decreased by so 2x - 7 .

That result is .

Putting it all together:

2x - 7 = 11

Add 7 to both sides to get 2x = 18 .

Then divide both sides by 2 and you get x = 9 .

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Example Question #14 : Ssat Middle Level Quantitative (Math)

$2\frac{3}{5}*3\frac{1}{4}=$

Possible Answers:

$\frac{52}{65}$

$8\frac{1}{2}$

$6\frac{3}{20}$

$8\frac{9}{20}$

Correct answer:

$8\frac{9}{20}$

Explanation:

First, turn each fraction into an improper fraction. Then multiply.

$\frac{13}{5}*\frac{13}{4}=$

$\frac{169}{20}=$

$8\frac{9}{20}$

The answer is $8\frac{9}{20}$ .

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Example Question #1 : Solving Polynomials

Solve for :

x - 45 = -14

Possible Answers:

x =31

x = 29

x = 59

x =-31

x = - 59

Correct answer:

x =31

Explanation:

Add 45 to both sides:

x - 45 = -14

x - 45 + 45 = -14+ 45

x = -14+ 45 = + (45-14) = 31

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Example Question #15 : Ssat Middle Level Quantitative (Math)

Solve for :

x + 45 = -14

Possible Answers:

x = -31

x = 31

x = 21

x = -59

x = -39

Correct answer:

x = -59

Explanation:

Subtract 45 from both sides:

x + 45 = -14

x + 45-45= -14-45

x = -14-45 = -14 + (-45) = -(14 + 45 ) = -59

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Example Question #16 : Ssat Middle Level Quantitative (Math)

Solve for :

x + 28 = 82

Possible Answers:

x = 44

x = 110

x = 64

x = 100

x = 54

Correct answer:

x = 54

Explanation:

Subtract 28 from both sides:

x + 28 = 82

x + 28 - 28 = 82 - 28

x = 54

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Example Question #17 : Equations

Solve for :

-6x = 72

Possible Answers:

x=66

x=78

x = 12

x = -12

x = -432

Correct answer:

x = -12

Explanation:

Divide both sides by :

-6x = 72

$-6x \div \left ( -6 \right )= 72\div \left ( -6 \right )$

$x= 72\div \left ( -6 \right ) = - \left ( 72\div 6 \right ) = -12$

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SSAT Middle Level Math : How to find the solution to an equation

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #11 : Ssat Middle Level Quantitative (Math)

Example Question #58 : Word Problems

Example Question #12 : Ssat Middle Level Quantitative (Math)

Example Question #59 : Word Problems

Example Question #13 : Ssat Middle Level Quantitative (Math)

Example Question #14 : Ssat Middle Level Quantitative (Math)

Example Question #1 : Solving Polynomials

Example Question #15 : Ssat Middle Level Quantitative (Math)

Example Question #16 : Ssat Middle Level Quantitative (Math)

Example Question #17 : Equations

All SSAT Middle Level Math Resources

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