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HSPT Math : Algebra

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Example Questions

Example Question #2 : How To Solve Two Step Equations

Write as an equation:

Twice the sum of a number and ten is equal to the difference of the number and one half.

Possible Answers:

$2 (x+10) =\frac{1}{2} - x$

$2 x+10 = \frac{1}{2} - x$

$2 x+10 = x - \frac{1}{2}$

$2 (x+10) = x - \frac{1}{2}$

Correct answer:

$2 (x+10) = x - \frac{1}{2}$

Explanation:

Let represent the unknown number.

"The sum of a number and ten" is the expression x+ 10 . "Twice" this sum is two times this expression, or

2 (x+10) .

"The difference of the number and one half" is a subtraction of the two, or

$x - \frac{1}{2}$

Set these equal, and the desired equation is

$2 (x+10) = x - \frac{1}{2}$

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Example Question #1 : How To Solve Two Step Equations

Axes 4

In the above diagram, which of the four points is the -intercept of the line of the equation 3x-7y = 21 ?

Possible Answers:

Correct answer:

Explanation:

The -coordinate of the -intercept of the line of an equation can be found by setting x= 0 and solving for :

3x-7y = 21

$3 \cdot 0 -7y = 21$

0-7y = 21

-7y = 21

$-7y \div (-7) = 21 \div (-7)$

y = -3

The -intercept is the point (0, -3) , which is three units down from the origin. This is the point marked in the diagram.

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Example Question #471 : Numbers And Operations

Solve:

$(7+3)\times10$

Possible Answers:

137

100

Correct answer:

100

Explanation:

$(7+3)\times10$

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication.

7+3=10

$10\times10=100$

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Example Question #13 : Orders Of Operations

Solve:

$54-(3\times9)$

Possible Answers:

327

105

459

Correct answer:

Explanation:

$54-(3\times9)$

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the subtraction.

$3\times9=27$

54-27=27

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Example Question #14 : Orders Of Operations

Solve:

$7\times8+(46-8)$

Possible Answers:

100

103

110

Correct answer:

Explanation:

$7\times8+(46-8)$

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication, and then the addition.

46-8=38

$7\times8=56$

56+38=94

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Example Question #15 : Orders Of Operations

Solve:

$3\times(13+25)$

Possible Answers:

114

120

Correct answer:

114

Explanation:

$3\times(13+25)$

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication.

13+25=38

$3\times38=114$

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Example Question #16 : Orders Of Operations

Solve:

$3\times (75-25)\div5$

Possible Answers:

Correct answer:

Explanation:

$3\times (75-25)\div5$

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the division.

75-25=50

$3\times50=150$

$150\div5=30$

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Example Question #17 : Orders Of Operations

Solve:

$3\times(47-13)$

Possible Answers:

128

132

102

100

Correct answer:

102

Explanation:

$3\times(47-13)$

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication.

47-13=34

$3\times34=102$

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Example Question #18 : Orders Of Operations

Solve:

$36+(46-11)\div5$

Possible Answers:

Correct answer:

Explanation:

$36+(46-11)\div5$

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the division, and then the addition.

46-11=35

$35\div5=7$

36+7=43

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Example Question #11 : How To Solve Two Step Equations

Solve:

$12\times(94-78)$

Possible Answers:

147

132

192

186

200

Correct answer:

192

Explanation:

$12\times(94-78)$

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication.

94-78=16

$12\times16=192$

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HSPT Math : Algebra

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #2 : How To Solve Two Step Equations

Example Question #1 : How To Solve Two Step Equations

Example Question #471 : Numbers And Operations

Example Question #13 : Orders Of Operations

Example Question #14 : Orders Of Operations

Example Question #15 : Orders Of Operations

Example Question #16 : Orders Of Operations

Example Question #17 : Orders Of Operations

Example Question #18 : Orders Of Operations

Example Question #11 : How To Solve Two Step Equations

All HSPT Math Resources

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