HSPT Math : Algebra

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #2 : Word Problems

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:

Correct answer:

Explanation:

Let  represent the unknown number.

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

.

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

Set these equal, and the desired equation is

Example Question #21 : Algebra

Axes 4

In the above diagram, which of the four points is the -intercept of the line of the equation  ?

Possible Answers:

Correct answer:

Explanation:

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

 

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

Example Question #22 : Algebra

Solve:

 

Possible Answers:

Correct answer:

Explanation:

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

Example Question #23 : Algebra

Solve:

 

Possible Answers:

Correct answer:

Explanation:

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

Example Question #16 : Common Core Math: Grade 5

Solve:

 

 

Possible Answers:

Correct answer:

Explanation:

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

 

Example Question #17 : Common Core Math: Grade 5

Solve:

 

Possible Answers:

Correct answer:

Explanation:

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

Example Question #18 : Common Core Math: Grade 5

Solve:

 

Possible Answers:

Correct answer:

Explanation:

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

 

Example Question #19 : Common Core Math: Grade 5

Solve:

 

Possible Answers:

Correct answer:

Explanation:

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

Example Question #20 : Common Core Math: Grade 5

Solve:

 

Possible Answers:

Correct answer:

Explanation:

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

Example Question #11 : How To Solve Two Step Equations

Solve:

 

Possible Answers:

Correct answer:

Explanation:

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

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