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Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

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11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #84 : Order Of Operations

Solve the equation using order of operations.

24 + (5*-3) - 2^3 =

Possible Answers:

Correct answer:

Explanation:

24 + (5*-3) - 2^3 =

24 + (5 * -3) -8 =

24 + (-15) -8 =

9 - 8 =

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Example Question #88 : Order Of Operations

Simplify: 3-2(6-3)^2

Possible Answers:

Correct answer:

Explanation:

Evaluate the inner parentheses first.

3-2(6-3)^2= 3-2(3)^2

Square the quantity inside the parentheses.

3-2(3)^2 = 3-2(9)

Multiply the number before the parentheses with the inner quantity.

3-2(9) = 3-18

Subtract.

3-18=-15

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Example Question #1101 : Pre Algebra

Solve: $\left(\frac{3(-2)}{3-2(3-2)}\right)^2$

Possible Answers:

$\frac{1}{36}$

Correct answer:

Explanation:

Evaluate the inner parentheses first.

$\left(\frac{3(-2)}{3-2(3-2)}\right)^2= \left(\frac{-6}{3-2(1)}\right)^2$

Simplify the denominator.

$\left(\frac{-6}{3-2(1)}\right)^2 = \left(\frac{-6}{1}\right)^2 =(-6)^2 = 36$

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Example Question #1102 : Pre Algebra

Solve: 2-(1-4)^3

Possible Answers:

127

Correct answer:

Explanation:

Evaluate the quantity in the parentheses first by order of operations.

2-(1-4)^3 = 2-(-3)^3

Cube the quantity in the parentheses and simplify.

Remember, subtracting a negative number makes it positive.

2-(-3)^3 = 2-(-27) = 2+27=29

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Example Question #91 : Operations

Evaluate:

$2-2\times 3+5$

Possible Answers:

Correct answer:

Explanation:

Recall the order of operations, PEMDAS, which stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

From the concept of order of operations, we would evaluate terms in multiplication first since there are no parentheses or exponents.

$2-2\times 3+5 = 2-(2\times 3)+5$

Once we multiply two and three together, add and subtract values starting from the left, working your way to the right.

2-6+5 = 1

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Example Question #92 : Operations

Solve: $10-10\times 2-2$

Possible Answers:

Correct answer:

Explanation:

Recall the order of operations to solve this problem.

PEMDAS stands for the order in which to solve an expression. First do whatever is inside of parentheses, then apply the exponents. Next, perform the multiplication and division and lastly do any addition and subtraction from left to right.

Evalute this by first applying the order of operations.

Multiply the second and the third terms first.

$10-(10\times 2)-2 = 10-20-2$

Subtract.

10-20-2=-12

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Example Question #93 : Operations

Solve:

$4-4\times7+12\div4$

Possible Answers:

$-\frac{16}{3}$

Correct answer:

Explanation:

Use the order of operations to solve. Evaluate the parentheses, exponents, multiplication, division, addition, and subtraction in chronological order.

This is known as PEMDAS.

$\\4-(4\times7)+(12\div4) \\= 4-28+3$

Solve by adding and subtracting the values from left to right.

4-28+3 = -21

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Example Question #94 : Operations And Properties

Solve: $\frac{3}{2}-\frac{3}{2}(2-3)$

Possible Answers:

$\frac{3}{2}$

$-\frac{3}{2}$

Correct answer:

Explanation:

Evaluate this by order of operations. Solve the parentheses first.

$\frac{3}{2}-\frac{3}{2}(2-3) = \frac{3}{2}-\frac{3}{2}(-1)$

Eliminate the parentheses by multiplying the fraction and the whole number. Remember that multiplying two negative numbers will result in a positive number.

$\frac{3}{2}-\frac{3}{2}(-1) = \frac{3}{2}+\frac{3}{2}$

Add the two fractions.

$\frac{3}{2}+\frac{3}{2}$

The numerators can be added since the denominators are common. The denominators will stay the same.

$\frac{3}{2}+\frac{3}{2} = \frac{6}{2}$

Divide six and two.

$\frac{6}{2}=3$

The answer is .

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Example Question #94 : Operations

Solve:

$26+3\cdot4\div2+7\cdot5-19$

Possible Answers:

116

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do the multiplication/division before addition/subtraction to get our final answer of 48:

$26+3\cdot4\div2+7\cdot5-19$

$26+12\div2+35-19$

26+6+35-19

32+35-19

67-19=48

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Example Question #91 : Order Of Operations

Solve:

$6\cdot4+3-6+13$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do multiplication before addition to get our final answer of 34:

$6\cdot4+3-6+13$

24+3-6+13

27-6+13

21+13=34

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Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #84 : Order Of Operations

Example Question #88 : Order Of Operations

Example Question #1101 : Pre Algebra

Example Question #1102 : Pre Algebra

Example Question #91 : Operations

Example Question #92 : Operations

Example Question #93 : Operations

Example Question #94 : Operations And Properties

Example Question #94 : Operations

Example Question #91 : Order Of Operations

All Pre-Algebra Resources

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