All HSPT Math Resources
Example Questions
Example Question #3 : Algebra
A full helium tank can blow up 50 balloons. At least how many times does the tank have to be re-filled in order to blow up 140 balloons?
Divide
Answer: The tank must be filled up at least 3 times.
Example Question #2 : How To Solve One Step Equations
Alegra is taking a cooking class with friends. It is 40 dollars for every two people who participate because people are supposed to work in pairs. But if someone does not have a partner, that person can still participate but must pay $30 for him or herself. Alegra's four best friends participate in the class with her, and they divide the cost evenly. What is the total cost per person?
22 dollars
30 dollars
60 dollars
20 dollars
22 dollars
Since Alegra is taking the class with 4 friends, that means there are a total of 5 people. This means that there are 2 pairs of friends, and one alone friend.
Below are the prices that will be charged based on this make up:
2 pairs of people at 40 dollars per pair = 80 dollars
1 solo person at 30 dollars per person = 30 dollars
80 dollars plus 30 dollars is 110 dollars, the grand total.
When 110 dollars is divided by 5, the answer is 22. Therefore, 22 dollars is the correct answer.
Example Question #2 : How To Find The Solution To An Equation
Ann, Bailey, Cara, Jack, and Jill are running a marathon. Cara finishes 4 minutes before Ann. Jill finishes after Bailey, who finishes after Ann. Jack finishes right before Bailey. Who else does Jack finish the race before?
Cara
Bailey
Jill
There is not enough information to solve this problem.
Ann
Jill
Cara finishes first. Ann and Bailey finish before Jill. If Jack finishes right before Bailey, then Jill finishes last.
Example Question #5 : How To Solve One Step Equations
Suzanne is at the grocery store. She has $5.00 to spend on produce. Oranges are $2.50 per pound, apples cost $1.50 per pound and bananas are $0.50 per pound. Which combination of fruit will fit her budget?
2 pounds of oranges and 1 pound of apples
3 pounds of apples and 2 pounds of bananas
1 pound of oranges, 1.5 pounds of apples and 1.5 pounds of bananas
1 pound of oranges, 1 pound of apples and 2 pounds of bananas
1.5 pounds of oranges and 4 pounds of bananas
1 pound of oranges, 1 pound of apples and 2 pounds of bananas
Make a simple algebra equation and test it against each combination:
Total Cost = $2.50 * (# Oranges) + $1.50 * (# Apples) + $0.50 * (# Bananas)
Example Question #111 : Hspt Mathematics
Solve:
To solve for , divide by eight on both sides of the equation.
Example Question #7 : How To Solve One Step Equations
Solve for :
To isolate the unknown variable, multiply both sides by negative three.
Example Question #112 : Hspt Mathematics
Solve:
To isolate the unknown variable, multiply both sides by one-fourth.
Example Question #113 : Hspt Mathematics
Solve:
Multiply on both sides of the equation to isolate the variable.
Example Question #21 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7
Solve for :
In order to solve this equation we need to isolate the variable to one side. Do not forget to perform the same operation on both sides of the equation.
Subtract from both sides of the equation.
Solve.
Example Question #1 : How To Solve Two Step Equations
Let be the temperature expressed in degrees Celsius. Then the equivalent temperature in degrees Fahrenheit can be calculated using the formula:
What is expressed in degrees Fahrenheit?