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HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

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6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2341 : Isee Middle Level (Grades 7 8) Mathematics Achievement

7(6+11+4)=

Possible Answers:

147

127

Correct answer:

147

Explanation:

First, add up the numbers in the parentheses:

7(6+11+4)=7(21)

Then, multiply:

7(21)=147

The answer is 147.

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Example Question #21 : Equations

Sove for :

2x + 8 = 26

Possible Answers:

x = 18

x= 17

x = 9

x=34

x= 12

Correct answer:

x = 9

Explanation:

2x + 8 = 26

2x + 8 -8= 26-8

2x = 18

$2x \div 2 = 18\div 2$

x = 9

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Example Question #231 : Algebra

Solve for :

-3 (x + 9) = 36

Possible Answers:

x=3

x=-3

x= -21

x=-15

x=15

Correct answer:

x= -21

Explanation:

-3 (x + 9) = 36

$-3 \cdot x +\left ( -3 \right ) \cdot 9 = 36$

-3 x -27= 36

-3 x -27+27 = 36+27

-3 x = 63

$-3 x \div (-3)= 63\div (-3)$

x= -21

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Example Question #232 : Algebra

Solve for :

4x + 15 = x + 84

Possible Answers:

$x= 24\frac{3}{4}$

$x = 17 \frac{1}{4}$

x=33

$x = 13 \frac{4}{5}$

x= 23

Correct answer:

x= 23

Explanation:

4x + 15 = x + 84

4x -x + 15 = x -x + 84

3x+ 15 = 84

3x+ 15 -15= 84-15

3x= 69

$3x \div 3= 69\div 3$

x= 23

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Example Question #233 : Algebra

Solve for :

5x - 15 = x + 84

Possible Answers:

$x=11\frac{1}{2}$

$x= 13\frac{4}{5}$

$x=16\frac{1}{2}$

$x = 17\frac{1}{4}$

$x = 24\frac{3}{4}$

Correct answer:

$x = 24\frac{3}{4}$

Explanation:

5x - 15 = x + 84

5x -x- 15 = x-x + 84

4x- 15 = 84

4x-15+ 15 = 84+15

4x = 99

$4x \div 4= 99\div 4$

$x = 24\frac{3}{4}$

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Example Question #2342 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Nathan is riding his bike to baseball practice. If he needs to travel 12 miles, how long will it take him to get there if he pedals at a rate of 5 miles per hour?

Possible Answers:

$2\ hours\ 24\ minutes$

$2\ hours$

$1\ hour$

$4\ hours$

Correct answer:

$2\ hours\ 24\ minutes$

Explanation:

Divide:

$12\div 5=2.4$

Answer: It will take Nathan at least 2 hours, plus an additional $0.4\times 60=24\ minutes$ .

So it will take him 2 hours and 24 minutes.

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Example Question #233 : Algebraic Concepts

Henry walked five miles on Tuesday and five miles on Wednesday. On Thursday, he walked 8 miles. How many miles did Henry walk all together?

Possible Answers:

Correct answer:

Explanation:

Add up all of the miles that Henry walked:

5+5+8=18

Answer: Henry walked 18 miles.

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Example Question #1 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7

16c=80

What is ?

Possible Answers:

Correct answer:

Explanation:

Divide both sides by 16:

$\frac{16c}{16}=\frac{80}{16}$

c=5

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Example Question #35 : How To Find The Solution To An Equation

13g=78

What is ?

Possible Answers:

Correct answer:

Explanation:

Divide both sides by 13:

$\frac{13g}{13}=\frac{78}{13}$

g=6

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Example Question #236 : Algebra

$\frac{\sqrt{9}*16}{4}=$

Possible Answers:

Correct answer:

Explanation:

First, solve the square root:

$\sqrt{9}=3$

Then, solve the equation accordingly:

$\frac{3*16}{4}=\frac{48}{4}=12$

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HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #2341 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #21 : Equations

Example Question #231 : Algebra

Example Question #232 : Algebra

Example Question #233 : Algebra

Example Question #2342 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #233 : Algebraic Concepts

Example Question #1 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7

Example Question #35 : How To Find The Solution To An Equation

Example Question #236 : Algebra

All HSPT Math Resources

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