HSPT Math : Algebra

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #1 : Solve Word Problems Leading To Equations: Ccss.Math.Content.7.Ee.B.4a

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 #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  ?

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 #13 : Operations & Algebraic Thinking

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 #11 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

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 #15 : Operations & Algebraic Thinking

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 #16 : Operations & Algebraic Thinking

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 #17 : Operations & Algebraic Thinking

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 #11 : 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 #19 : Operations & Algebraic Thinking

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 #21 : 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. 

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