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HSPT Math : Concepts

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

Example Questions

Example Question #941 : Concepts

Solve for the variable:

$\displaystyle 16 + 8=22-6+4a$

Possible Answers:

$\displaystyle 10$

$\displaystyle 12$

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 4$

Correct answer:

$\displaystyle 2$

Explanation:

First, combine the integers on the left side of the equation, and then do the same on the right:

$\displaystyle 16 + 8=22-6+4a$

$\displaystyle 24=16+4a$

Then subtract 16 from each side:

$\displaystyle 24-16=16+4a-16$

8 = 4a

Finally, divide both sides by 4 to isolate the variable:

$8\div 4=4a\div 4$ $\displaystyle 8\div 4=4a\div 4$

a=2 $\displaystyle a=2$

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Example Question #137 : How To Find The Solution To An Equation

Solve for $\displaystyle q$:

12q=60 $\displaystyle 12q=60$

Possible Answers:

$\displaystyle 71$

$\displaystyle 12$

$\displaystyle 6$

$\displaystyle 72$

$\displaystyle 5$

Correct answer:

$\displaystyle 5$

Explanation:

Divide both sides by 12:

$12q\div 12=60\div 12$ $\displaystyle 12q\div 12=60\div 12$

q=5 $\displaystyle q=5$

Answer: $\displaystyle 5$

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Example Question #138 : How To Find The Solution To An Equation

Solve for $\displaystyle h$:

5h=15 $\displaystyle 5h=15$

Possible Answers:

$\displaystyle 5$

$\displaystyle 20$

$\displaystyle 75$

$\displaystyle 10$

$\displaystyle 3$

Correct answer:

$\displaystyle 3$

Explanation:

Divide both sides by 5:

$5h\div 5=15\div 5$ $\displaystyle 5h\div 5=15\div 5$

h=3 $\displaystyle h=3$

Answer: $\displaystyle 3$

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Example Question #138 : How To Find The Solution To An Equation

Solve for $\displaystyle l$:

25l=175 $\displaystyle 25l=175$

Possible Answers:

$\displaystyle 7$

$\displaystyle 8$

$\displaystyle 5$

$\displaystyle 6$

$\displaystyle 25$

Correct answer:

$\displaystyle 7$

Explanation:

Divide both sides by 25:

$25l\div 25=175\div 25$ $\displaystyle 25l\div 25=175\div 25$

l=7 $\displaystyle l=7$

Answer: $\displaystyle 7$

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Example Question #2461 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for $\displaystyle g$:

6g=36 $\displaystyle 6g=36$

Possible Answers:

$\displaystyle 6$

$\displaystyle 40$

$\displaystyle 18$

$\displaystyle 10$

$\displaystyle 12$

Correct answer:

$\displaystyle 6$

Explanation:

Divide each side by 6:

$6g\div 6=36\div 6$ $\displaystyle 6g\div 6=36\div 6$

g=6 $\displaystyle g=6$

Answer: $\displaystyle 6$

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Example Question #141 : How To Find The Solution To An Equation

Solve for $\displaystyle k$:

26k=78 $\displaystyle 26k=78$

Possible Answers:

$\displaystyle 5$

$\displaystyle 52$

$\displaystyle 3$

$\displaystyle 12$

$\displaystyle 2$

Correct answer:

$\displaystyle 3$

Explanation:

Divide both sides by 26:

$26k\div 26=78\div 26$ $\displaystyle 26k\div 26=78\div 26$

k=3 $\displaystyle k=3$

Answer: $\displaystyle 3$

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Example Question #942 : Concepts

Solve for x:

$\small x+7=-11$ $\displaystyle \small x+7=-11$

Possible Answers:

$\small x=4$ $\displaystyle \small x=4$

x=2 $\displaystyle x=2$

$\small x=-18$ $\displaystyle \small x=-18$

$\small x=18$ $\displaystyle \small x=18$

$\small x=-4$ $\displaystyle \small x=-4$

Correct answer:

$\small x=-18$ $\displaystyle \small x=-18$

Explanation:

$\small x+7=-11$ $\displaystyle \small x+7=-11$

$\small x+7-7=-11-7$ $\displaystyle \small x+7-7=-11-7$

$\small x=-18$ $\displaystyle \small x=-18$

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Example Question #345 : Algebraic Concepts

Solve for n:
$\small 4n+3=15$ $\displaystyle \small 4n+3=15$

Possible Answers:

$\small n=0$ $\displaystyle \small n=0$

$\small n=1$ $\displaystyle \small n=1$

$\small n=3$ $\displaystyle \small n=3$

$\small n=2$ $\displaystyle \small n=2$

n=10 $\displaystyle n=10$

Correct answer:

$\small n=3$ $\displaystyle \small n=3$

Explanation:

$\small 4n+3=15$ $\displaystyle \small 4n+3=15$

$\small 4n+3-3=15-3$ $\displaystyle \small 4n+3-3=15-3$

$\small 4n=12$ $\displaystyle \small 4n=12$

$\small \frac{4n}{4}=\frac{12}{4}$ $\displaystyle \small \frac{4n}{4}=\frac{12}{4}$

$\small n=3$ $\displaystyle \small n=3$

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Example Question #946 : Concepts

Solve for n:
$\small \frac{8}{n}+3=7$ $\displaystyle \small \frac{8}{n}+3=7$

Possible Answers:

$\small n=10$ $\displaystyle \small n=10$

$\small n=2$ $\displaystyle \small n=2$

$\small n=4$ $\displaystyle \small n=4$

n=1 $\displaystyle n=1$

$\small n=16$ $\displaystyle \small n=16$

Correct answer:

$\small n=2$ $\displaystyle \small n=2$

Explanation:

$\small \frac{8}{n}+3=7$ $\displaystyle \small \frac{8}{n}+3=7$

$\small \frac{8}{n}+3-3=7-3$ $\displaystyle \small \frac{8}{n}+3-3=7-3$

$\small \frac{8}{n}=4$ $\displaystyle \small \frac{8}{n}=4$

$\small n\frac{8}{n}=4n$ $\displaystyle \small n\frac{8}{n}=4n$

$\small 8=4n$ $\displaystyle \small 8=4n$

$\small \frac{8}{4}=\frac{4n}4$ $\displaystyle \small \frac{8}{4}=\frac{4n}4$

$\small 2=n$ $\displaystyle \small 2=n$

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Example Question #351 : Algebraic Concepts

Solve for $\displaystyle m$:

7m=84 $\displaystyle 7m=84$

Possible Answers:

$\displaystyle 7$

$\displaystyle 12$

$\displaystyle 91$

$\displaystyle 21$

$\displaystyle 77$

Correct answer:

$\displaystyle 12$

Explanation:

7m=84 $\displaystyle 7m=84$

To solve, divide each side by $\displaystyle 7$:

$7m\div 7=84\div 7$ $\displaystyle 7m\div 7=84\div 7$

m=12 $\displaystyle m=12$

Answer: $\displaystyle 12$

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HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #941 : Concepts

Example Question #137 : How To Find The Solution To An Equation

Example Question #138 : How To Find The Solution To An Equation

Example Question #138 : How To Find The Solution To An Equation

Example Question #2461 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #141 : How To Find The Solution To An Equation

Example Question #942 : Concepts

Example Question #345 : Algebraic Concepts

Example Question #946 : Concepts

Example Question #351 : Algebraic Concepts

All HSPT Math Resources

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