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SAT Math : SAT Mathematics

Study concepts, example questions & explanations for SAT Math

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16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #12 : How To Find Order Of Operations

Evaluate $\displaystyle x^2+3x^3-y^2+y+7$ when x=-3 $\displaystyle x=-3$ and y=2 $\displaystyle y=2$.

Possible Answers:

$\displaystyle -67$

$\displaystyle 95$

$\displaystyle 77$

None of the other answer choices are correct.

$\displaystyle -59$

Correct answer:

$\displaystyle -67$

Explanation:

We can evaluate $\displaystyle x^2+3x^3-y^2+y+7$ when x=-3 $\displaystyle x=-3$ and y=2 $\displaystyle y=2$ by plugging in and substituting:

$\displaystyle (-3)^2+3(-3)^3-(2)^2+2+7$

$9+(3\times -27)-4+2+7$ $\displaystyle 9+(3\times -27)-4+2+7$

$\displaystyle 9-81-4+2+7=-67$

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Example Question #14 : Order Of Operations

13+5-9 $\displaystyle 13+5-9$

Possible Answers:

$\displaystyle 9$

$\displaystyle 8$

$\displaystyle 17$

$\displaystyle 12$

$\displaystyle 27$

Correct answer:

$\displaystyle 9$

Explanation:

When doing operations of subtraction and addition, there is no priority but we must work from left to right. The sum on the left is $\displaystyle 18$ and we do the subtraction. The answer is $\displaystyle 9$.

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Example Question #21 : How To Find Order Of Operations

$\displaystyle 13-14+25$

Possible Answers:

$\displaystyle 52$

$\displaystyle -2$

$\displaystyle 2$

$\displaystyle -24$

$\displaystyle 24$

Correct answer:

$\displaystyle 24$

Explanation:

When doing operations of subtraction and addition, there is no priority but we must work from left to right. The difference on the left is $\displaystyle -1$. Since $\displaystyle 14$ is greater than $\displaystyle 13$ and is negative, we treat as a normal subtraction problem. The same applies for the right side in which $\displaystyle 25$ is greater than $\displaystyle 1$ and is positive. The answer is $\displaystyle 24$.

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Example Question #901 : Sat Mathematics

2*3+5 $\displaystyle 2*3+5$

Possible Answers:

$\displaystyle 30$

$\displaystyle 16$

$\displaystyle 8$

$\displaystyle 11$

$\displaystyle 10$

Correct answer:

$\displaystyle 11$

Explanation:

There is multiplication and addition present. Remember PEMDAS. Multiplication comes first followed by addition.

$\displaystyle 2*3+5=6+5=11$

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Example Question #902 : Sat Mathematics

4*5+6*8 $\displaystyle 4*5+6*8$

Possible Answers:

352 $\displaystyle 352$

212 $\displaystyle 212$

208 $\displaystyle 208$

$\displaystyle 43$

$\displaystyle 68$

Correct answer:

$\displaystyle 68$

Explanation:

There is multiplication and addition present. Remember PEMDAS. Multiplication comes first followed by addition. Since there are two multiplication operations, we work from left to right then finally add the products.

$\displaystyle 4*5+6*8=20+48=68$

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Example Question #903 : Sat Mathematics

$300\div20*5$ $\displaystyle 300\div20*5$

Possible Answers:

120 $\displaystyle 120$

$\displaystyle 60$

$\displaystyle 3$

$\displaystyle 75$

$\displaystyle 4$

Correct answer:

$\displaystyle 75$

Explanation:

When there's multiplication and division, they have the same priority. We will work from left to right.

$300\div20*5=15*5=75$ $\displaystyle 300\div20*5=15*5=75$

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Example Question #904 : Sat Mathematics

$17*24\div3$ $\displaystyle 17*24\div3$

Possible Answers:

$\displaystyle 24$

$\displaystyle 17$

$\displaystyle 56$

136 $\displaystyle 136$

$\displaystyle 19$

Correct answer:

136 $\displaystyle 136$

Explanation:

When there's multiplication and division, they have the same priority. We will work from left to right.

$17*24\div 3=408\div 3=136$ $\displaystyle 17*24\div 3=408\div 3=136$

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Example Question #905 : Sat Mathematics

$\displaystyle 13-(4+5)$

Possible Answers:

$\displaystyle -4$

$\displaystyle 4$

$\displaystyle 9$

$\displaystyle 14$

$\displaystyle 8$

Correct answer:

$\displaystyle 4$

Explanation:

Although there is just addition and subtraction, a paranthesis is present. According to PEMDAS, paranthesis has priority over all operations.

$\displaystyle 13-(4+5)=13-9=4$

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Example Question #906 : Sat Mathematics

$\displaystyle 2*8+(29-22)$

Possible Answers:

$\displaystyle 23$

$\displaystyle 22$

112 $\displaystyle 112$

$\displaystyle 30$

$\displaystyle 17$

Correct answer:

$\displaystyle 23$

Explanation:

Even there is multiplication, addition and subtraction, a paranthesis is present. According to PEMDAS, paranthesis has priority over all operations.

$\displaystyle 2*8+(29-22)=2*8+7=16+7=23$

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Example Question #907 : Sat Mathematics

$\displaystyle (15-11)^2$

Possible Answers:

$\displaystyle 8$

$\displaystyle 16$

104 $\displaystyle 104$

$\displaystyle 4$

121 $\displaystyle 121$

Correct answer:

$\displaystyle 16$

Explanation:

In PEMDAS, the paranthesis comes first followed by the exponent. We have subtraction so the difference is $\displaystyle 4$. We square this to get $\displaystyle 16$.

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SAT Math : SAT Mathematics

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #12 : How To Find Order Of Operations

Example Question #14 : Order Of Operations

Example Question #21 : How To Find Order Of Operations

Example Question #901 : Sat Mathematics

Example Question #902 : Sat Mathematics

Example Question #903 : Sat Mathematics

Example Question #904 : Sat Mathematics

Example Question #905 : Sat Mathematics

Example Question #906 : Sat Mathematics

Example Question #907 : Sat Mathematics

All SAT Math Resources

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