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SSAT Middle Level Math : Equations

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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:

$\displaystyle 30$

$\displaystyle 28$

$\displaystyle 45$

$\displaystyle 15$

$\displaystyle 75$

Correct answer:

$\displaystyle 15$

Explanation:

Order of operations says to multiply 5 and 3 first. Thus we are looking for the difference between $\displaystyle 30$ and $\left (3\times 5\right)$ $\displaystyle \left (3\times 5\right)$ or $\displaystyle 30$ and $\displaystyle 15$.

$\displaystyle 30-15=15$

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Example Question #23 : How To Do Other 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:

$\displaystyle 15$

$\displaystyle 24$

$\displaystyle 17$

$\displaystyle 33$

$\displaystyle 22$

Correct answer:

$\displaystyle 33$

Explanation:

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

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

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 #11 : Equations

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

Possible Answers:

$\displaystyle 31$

$\displaystyle 38$

$\displaystyle 35$

$\displaystyle 30$

$\displaystyle 28$

Correct answer:

$\displaystyle 35$

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. $31 \cdot 8 = 248$ $\displaystyle 31 \cdot 8 = 248$ so 31 is too low.

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

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

Thus 35 is the answer (280).

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

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:

$\displaystyle 5$

$\displaystyle 3$

$\displaystyle 2$

$\displaystyle 1$

$\displaystyle 4$

Correct answer:

$\displaystyle 4$

Explanation:

If Elaine wants to give 2 slices of pizza to 14 children, then she needs 2 * 14 $\displaystyle 2 * 14$ 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.

$28\div 8 = 3.5$ $\displaystyle 28\div 8 = 3.5$.

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 #15 : 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:

$\displaystyle 11$

$\displaystyle 10$

$\displaystyle 9$

$\displaystyle 10$

$\displaystyle 7$

$\displaystyle 8$

$\displaystyle 11$

Correct answer:

$\displaystyle 9$

Explanation:

Let's call the number $\displaystyle x$. So the number that is doubled is $\displaystyle x$ which then becomes $\displaystyle 2x$.

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

That result is $\displaystyle 11$.

Putting it all together:

$\displaystyle 2x - 7 = 11$

Add 7 to both sides to get 2x = 18 $\displaystyle 2x = 18$.

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

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Example Question #12 : Equations

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

Possible Answers:

$\frac{52}{65}$ $\displaystyle \frac{52}{65}$

$8\frac{9}{20}$ $\displaystyle 8\frac{9}{20}$

$6\frac{3}{20}$ $\displaystyle 6\frac{3}{20}$

$8\frac{1}{2}$ $\displaystyle 8\frac{1}{2}$

Correct answer:

$8\frac{9}{20}$ $\displaystyle 8\frac{9}{20}$

Explanation:

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

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

$\frac{169}{20}=$ $\displaystyle \frac{169}{20}=$

$8\frac{9}{20}$ $\displaystyle 8\frac{9}{20}$

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

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Example Question #17 : Ssat Middle Level Quantitative (Math)

Solve for $\displaystyle x$:

$\displaystyle x - 45 = -14$

Possible Answers:

x =31 $\displaystyle x =31$

$\displaystyle x = - 59$

x =-31 $\displaystyle x =-31$

x = 59 $\displaystyle x = 59$

x = 29 $\displaystyle x = 29$

Correct answer:

x =31 $\displaystyle x =31$

Explanation:

Add 45 to both sides:

$\displaystyle x - 45 = -14$

$\displaystyle x - 45 + 45 = -14+ 45$

$\displaystyle x = -14+ 45 = + (45-14) = 31$

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Example Question #18 : Ssat Middle Level Quantitative (Math)

Solve for $\displaystyle x$:

$\displaystyle x + 45 = -14$

Possible Answers:

x = 31 $\displaystyle x = 31$

x = 21 $\displaystyle x = 21$

x = -31 $\displaystyle x = -31$

x = -59 $\displaystyle x = -59$

x = -39 $\displaystyle x = -39$

Correct answer:

x = -59 $\displaystyle x = -59$

Explanation:

Subtract 45 from both sides:

$\displaystyle x + 45 = -14$

$\displaystyle x + 45-45= -14-45$

$\displaystyle x = -14-45 = -14 + (-45) = -(14 + 45 ) = -59$

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Example Question #19 : Ssat Middle Level Quantitative (Math)

Solve for $\displaystyle x$:

$\displaystyle x + 28 = 82$

Possible Answers:

x = 110 $\displaystyle x = 110$

x = 54 $\displaystyle x = 54$

x = 100 $\displaystyle x = 100$

x = 64 $\displaystyle x = 64$

x = 44 $\displaystyle x = 44$

Correct answer:

x = 54 $\displaystyle x = 54$

Explanation:

Subtract 28 from both sides:

$\displaystyle x + 28 = 82$

$\displaystyle x + 28 - 28 = 82 - 28$

x = 54 $\displaystyle x = 54$

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Example Question #20 : Ssat Middle Level Quantitative (Math)

Solve for $\displaystyle x$:

$\displaystyle -6x = 72$

Possible Answers:

x=78 $\displaystyle x=78$

x = -12 $\displaystyle x = -12$

$\displaystyle x = -432$

x = 12 $\displaystyle x = 12$

x=66 $\displaystyle x=66$

Correct answer:

x = -12 $\displaystyle x = -12$

Explanation:

Divide both sides by $\displaystyle -6$:

$\displaystyle -6x = 72$

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

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

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SSAT Middle Level Math : Equations

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 #23 : How To Do Other Word Problems

Example Question #11 : Equations

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

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

Example Question #12 : Equations

Example Question #17 : Ssat Middle Level Quantitative (Math)

Example Question #18 : Ssat Middle Level Quantitative (Math)

Example Question #19 : Ssat Middle Level Quantitative (Math)

Example Question #20 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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